Details

analyze1.2s (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
0%	0%	74.9%	25.1%	0%	0%	0%	1
0%	0%	74.9%	25.1%	0%	0%	0%	2
25%	18.7%	56.2%	25.1%	0%	0%	0%	3
50%	37.5%	37.5%	25.1%	0%	0%	0%	4
56.3%	42.1%	32.8%	25.1%	0%	0%	0%	5
62.5%	46.8%	28.1%	25.1%	0%	0%	0%	6
64.1%	48%	26.9%	25.1%	0%	0%	0%	7
65.6%	49.2%	25.8%	25.1%	0%	0%	0%	8
66%	49.5%	25.5%	25.1%	0%	0%	0%	9
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	10
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	11
66.5%	49.8%	25.1%	25.1%	0%	0%	0%	12

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.5min (59.4%)

Results

1.4min	3955×	body	8192	exit
7.6s	8256×	body	256	valid
49.0ms	99×	body	256	infinite
39.0ms	77×	body	256	unsamplable

Bogosity

preprocess110.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1792×	`rational.json-simplify-35`
1306×	`rational.json-simplify-41`
1124×	`rational.json-simplify-2`
734×	`rational.json-simplify-46`
730×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	140	277
2	295	273
3	668	269
4	2002	265
5	2966	257
6	4986	253
7	7715	253
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1792×	`rational.json-simplify-35`
1306×	`rational.json-simplify-41`
1124×	`rational.json-simplify-2`
734×	`rational.json-simplify-46`
730×	`rational.json-simplify-43`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	140	277
2	295	273
3	668	269
4	2002	265
5	2966	257
6	4986	253
7	7715	253

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))

eval11.0ms (0%)

Compiler: Compiled 724 to 535 computations (26.1% saved)

prune26.0ms (0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Kept	Total
New	8	8
Fresh	1	1
Picked	0	0
Done	0	0
Total	9	9

Error

0.3b

Counts

9 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	1.1b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
	1.1b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))

Compiler

Compiled 1462 to 1152 computations (21.2% saved)

localize202.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 581 to 400 computations (31.2% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	0	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	-inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

rewrite253.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1944×	`rational.json-1`
1944×	`rational.json-2`
1944×	`rational.json-4`
1944×	`rational.json-3`
880×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	199	104
2	432	104
3	1013	104
4	2477	104
5	6113	104

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 2 (neg.f64 z)) -25000000000000000000000000/21295833160343550136109053437957)) (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3147848041806007/2500000000000 (/.f64 (+.f64 2 (neg.f64 z)) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (+.f64 2 (neg.f64 z)) -5000000000000/3147848041806007) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (-.f64 1 z) 20000000000000/6765203681218851) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (.f64 (+.f64 2 (neg.f64 z)) -5000000000000/3147848041806007)) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 (+.f64 2 (neg.f64 z)) 4) -3147848041806007/2500000000000) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (.f64 (-.f64 1 z) 20000000000000/6765203681218851)) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 (-.f64 1 z) 4) 6765203681218851/10000000000000) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3147848041806007/1250000000000 (/.f64 (+.f64 4 (.f64 z -2)) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6765203681218851/5000000000000 (/.f64 (.f64 (+.f64 z -1) -2) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3147848041806007/625000000000 (/.f64 (.f64 (+.f64 2 (neg.f64 z)) 4) (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) 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simplify185.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-35`
1278×	`rational.json-simplify-2`
878×	`rational.json-simplify-53`
826×	`rational.json-simplify-44`
746×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	6316
1	1448	6286
2	5078	6222
3	6781	6222
4	7990	6222

Stop Event

1×	node limit

Counts

174 → 210

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
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(/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 z) 3)) -7713234287776531/10000000000000) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 z) 3)) -7713234287776531/10000000000000) (*.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)))
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(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (neg.f64 z) 3) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)))) (/.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (neg.f64 z) 3) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))))) (*.f64 (+.f64 (neg.f64 z) 4) -10000000000000/883075145810703))
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(-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
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(.f64 2 (.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) 1))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
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(*.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) 2)
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
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(+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
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(/.f64 5826188486005177/10000000000000 z)
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(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (neg.f64 z) 3) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)))) (*.f64 2 (+.f64 (neg.f64 z) 4))) -2500000000000/883075145810703)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (neg.f64 z) 3) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)))) 1/2) (*.f64 (+.f64 (neg.f64 z) 4) -10000000000000/883075145810703))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (neg.f64 z) 3) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)))) -5000000000000/883075145810703) (+.f64 (neg.f64 z) 4))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (*.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) 2) (/.f64 (+.f64 (neg.f64 z) 3) 7713234287776531/5000000000000))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (*.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (+.f64 (neg.f64 z) 3)) 10000000000000/7713234287776531)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (.f64 2 (+.f64 (neg.f64 z) 3))) 5000000000000/7713234287776531)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) 1/2) (.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (*.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) 10000000000000/7713234287776531) (+.f64 (neg.f64 z) 3))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (-.f64 0 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 4) -50000000000000000000000000/6811365493350374017225292011293))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (neg.f64 z) 3) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))))) (neg.f64 (*.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703))) (neg.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(+.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)))
(+.f64 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)))
(+.f64 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(.f64 2 (.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) 1))
(+.f64 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (.f64 2 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1/2)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 1/2 (.f64 2 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) 2)
(+.f64 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 3 (neg.f64 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))

localize344.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 590 to 426 computations (27.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms	z	@	inf	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))

rewrite121.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational.json-simplify-35`
1028×	`rational.json-simplify-29`
994×	`exponential.json-3`
994×	`rational.json-1`
994×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	167
1	243	167
2	582	167
3	1450	167
4	3336	167
5	7158	167

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))

(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 4)) (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)))))
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Outputs

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simplify448.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1886×	`rational.json-simplify-35`
1436×	`rational.json-simplify-1`
1358×	`rational.json-simplify-2`
858×	`rational.json-simplify-61`
838×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	3407
1	391	3407
2	719	3407
3	1564	3407
4	2727	3407
5	3539	3407
6	4035	3407
7	4360	3407
8	4804	3407
9	5438	3407
10	6099	3407
11	6635	3407
12	6995	3407
13	7621	3407

Stop Event

1×	node limit

Counts

75 → 101

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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1441579419498879551/4687500000000000
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Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 9151757080597036297/30000000000000000 (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (+.f64 (.f64 40269435042492127/90000000000000 z) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
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(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (*.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))))))
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(/.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) 4) 4)
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) 4)) 8)
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) 4)) (.f64 2 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) 4))) 16)
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) 1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))

localize225.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
✓	1.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 494 to 328 computations (33.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
0.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

rewrite110.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`rational.json-simplify-35`
730×	`exponential.json-3`
730×	`rational.json-1`
730×	`rational.json-2`
730×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	169	68
2	361	68
3	878	64
4	2215	64
5	6097	64

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

Inputs

(+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (/.f64 -3147848041806007/2500000000000 (/.f64 (-.f64 2 z) (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 1 z) (*.f64 (-.f64 2 z) -25000000000000000000000000/21295833160343550136109053437957)) (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 2 z) 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simplify129.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational.json-simplify-35`
902×	`rational.json-simplify-44`
858×	`rational.json-simplify-61`
838×	`rational.json-simplify-51`
818×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	8423
1	1844	8043
2	6452	7809

Stop Event

1×	node limit

Counts

175 → 260

Calls

Call 1

Inputs
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Outputs
469507597606837/10000000000000
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(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
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(/.f64 5826188486005177/10000000000000 z)
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(/.f64 5826188486005177/10000000000000 z)
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(/.f64 (exp.f64 (+.f64 z z)) (.f64 (exp.f64 z) (/.f64 2 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))))
(/.f64 (exp.f64 (+.f64 z z)) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z)))))
(/.f64 (/.f64 (exp.f64 (+.f64 z z)) (exp.f64 z)) (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 4))) 8)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4 (/.f64 (exp.f64 z) (exp.f64 15/2)))) 4)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (*.f64 4 (/.f64 (exp.f64 z) (exp.f64 15/2))) 4))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 z))) (.f64 2 (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2))) (.f64 2 (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 2 (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4)) (.f64 2 (/.f64 (*.f64 4 (exp.f64 15/2)) (exp.f64 z))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8) (.f64 2 (.f64 (exp.f64 15/2) (/.f64 4 (exp.f64 z)))))
(.f64 8 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (.f64 (exp.f64 15/2) (/.f64 4 (exp.f64 z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 16) (.f64 (.f64 (exp.f64 15/2) (/.f64 4 (exp.f64 z))) 4))
(/.f64 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 2 (exp.f64 (neg.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 2 (/.f64 (exp.f64 (neg.f64 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 2 (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 -1)) (exp.f64 (-.f64 1 z)))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 -1)))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 (-.f64 1 z) -1))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (-.f64 1 z)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -1) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))
(/.f64 (.f64 (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 2) (sqrt.f64 (.f64 2 (PI.f64)))) 1/2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 2) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) 2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 2) (/.f64 (/.f64 (exp.f64 (.f64 2 (+.f64 (neg.f64 z) 15/2))) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))) 1))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (/.f64 (exp.f64 (.f64 2 (+.f64 15/2 (neg.f64 z)))) (.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 2) (/.f64 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (/.f64 2 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (/.f64 (exp.f64 15/2) (exp.f64 z))))) 1))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 2) (/.f64 (/.f64 (.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))) (/.f64 2 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (/.f64 (exp.f64 15/2) (exp.f64 z))))) 2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 2) (/.f64 (/.f64 (/.f64 (.f64 4 (exp.f64 15/2)) (exp.f64 z)) (/.f64 2 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (/.f64 (exp.f64 15/2) (exp.f64 z))))) 4))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (neg.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64))))) (neg.f64 (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 z))) (neg.f64 (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2))) (neg.f64 (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 2 (.f64 2 (exp.f64 (neg.f64 z)))))
(.f64 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 2 (.f64 2 (.f64 2 (exp.f64 (neg.f64 z))))))
(.f64 2 (/.f64 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (neg.f64 z)) 4)))
(.f64 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (exp.f64 (neg.f64 (neg.f64 z))) 2))
(/.f64 (.f64 2 (/.f64 2 (/.f64 (exp.f64 (neg.f64 z)) (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 2 (.f64 2 (exp.f64 15/2))))
(.f64 (/.f64 2 (/.f64 (exp.f64 (neg.f64 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 2 (.f64 2 (.f64 2 (exp.f64 15/2)))))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 z))) (*.f64 4 (exp.f64 15/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 z))) (/.f64 (exp.f64 -15/2) 2))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 2 (neg.f64 (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 4)))) 16)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4 (/.f64 (exp.f64 z) (exp.f64 15/2)))) 4)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (*.f64 4 (/.f64 (exp.f64 z) (exp.f64 15/2))) 4))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 z)))) (.f64 2 (.f64 2 (exp.f64 15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)))) (.f64 2 (.f64 2 (exp.f64 (neg.f64 z)))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 2 (*.f64 2 (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 -1))) (.f64 2 (exp.f64 (-.f64 1 z))))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1))) (/.f64 2 (.f64 2 (exp.f64 (-.f64 1 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (exp.f64 -1))) (/.f64 1 (exp.f64 (-.f64 1 z))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (exp.f64 -1))) (exp.f64 (neg.f64 (-.f64 1 z))))
(/.f64 (.f64 2 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 z)))) (.f64 2 (neg.f64 (exp.f64 15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (.f64 2 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)))) (.f64 2 (neg.f64 (exp.f64 (neg.f64 z)))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 15/2))) (/.f64 (exp.f64 (neg.f64 z)) 2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 (neg.f64 z)))) (/.f64 (exp.f64 15/2) 2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 (-.f64 1 z))) (exp.f64 -1))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 -1)))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 (-.f64 1 z) -1))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (-.f64 1 z)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 1)) (exp.f64 (-.f64 -1 z)))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 1) (exp.f64 (-.f64 -1 z))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 1 (-.f64 -1 z)))))
(/.f64 (/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2))) (exp.f64 (neg.f64 z))) 2)
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 -1)) (exp.f64 (neg.f64 z))) (exp.f64 1))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 -1)) (exp.f64 -1)) (exp.f64 (-.f64 2 z)))
(/.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1))) (*.f64 (exp.f64 -1) (exp.f64 (-.f64 2 z))))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -2) (exp.f64 (-.f64 2 z))))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (+.f64 -2 (-.f64 2 z))))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 -1)) (exp.f64 1)) (exp.f64 (neg.f64 z)))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4)) (neg.f64 (/.f64 (*.f64 4 (exp.f64 15/2)) (exp.f64 z))))
(/.f64 (neg.f64 (.f64 4 (sqrt.f64 (.f64 2 (PI.f64))))) (neg.f64 (*.f64 (exp.f64 15/2) (/.f64 4 (exp.f64 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -4) (*.f64 (/.f64 4 (exp.f64 z)) (neg.f64 (exp.f64 15/2))))
(/.f64 (neg.f64 (/.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))) (neg.f64 (.f64 2 (exp.f64 (neg.f64 z)))))
(/.f64 (/.f64 -2 (/.f64 (exp.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 (neg.f64 z)) -2))
(/.f64 (neg.f64 (/.f64 2 (/.f64 (exp.f64 (neg.f64 z)) (sqrt.f64 (.f64 2 (PI.f64)))))) (neg.f64 (.f64 2 (exp.f64 15/2))))
(/.f64 (/.f64 -2 (/.f64 (exp.f64 (neg.f64 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 15/2) -2))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))))) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 z)))) (neg.f64 (.f64 2 (exp.f64 15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)))) (neg.f64 (.f64 2 (exp.f64 (neg.f64 z)))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)) (exp.f64 -1))) (neg.f64 (exp.f64 (-.f64 1 z))))
(/.f64 (neg.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)))) (neg.f64 (exp.f64 (-.f64 1 z))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (exp.f64 -1)))) (neg.f64 (exp.f64 (-.f64 1 z))))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (neg.f64 (exp.f64 -1))) (neg.f64 (exp.f64 (-.f64 1 z))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 z)))) (exp.f64 15/2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -15/2)))) (exp.f64 (neg.f64 z)))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (neg.f64 z))))
(.f64 (exp.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 z)))

localize312.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	4.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(-.f64 (-.f64 1 z) 1)
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))

rewrite101.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-1`
1606×	`rational.json-2`
1606×	`rational.json-4`
1606×	`rational.json-3`
1600×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	152	63
2	353	63
3	838	59
4	2076	55
5	5611	55

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(-.f64 (-.f64 1 z) 1)

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 -2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 z 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 z -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 z -4)) (*.f64 2 (*.f64 z -4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 z 4)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 z)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4)) (*.f64 2 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) (/.f64 7713234287776531/20000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 z) (/.f64 10000000000000/7713234287776531 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 1 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 2 (*.f64 2 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) (/.f64 1/2 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) (/.f64 1 (*.f64 2 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10000000000000/7713234287776531 (/.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10000000000000/7713234287776531 (/.f64 (*.f64 2 (-.f64 3 z)) (*.f64 2 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20000000000000/7713234287776531 (/.f64 (-.f64 3 z) (*.f64 2 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000/7713234287776531 (/.f64 (*.f64 2 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 3 z) 5000000000000/7713234287776531) (/.f64 2 (*.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))))

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1644×	`rational.json-simplify-61`
1408×	`rational.json-simplify-35`
1000×	`rational.json-simplify-41`
952×	`rational.json-simplify-51`
926×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	213	2372
1	471	2372
2	1029	2312
3	2834	2156
4	6157	2144

Stop Event

1×	node limit

Counts

112 → 137

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(+.f64 1 (-.f64 -1 z))
(+.f64 (neg.f64 z) 0)
(+.f64 (-.f64 1 z) -1)
(+.f64 2 (-.f64 -2 z))
(+.f64 (-.f64 2 z) -2)
(+.f64 0 (neg.f64 z))
(+.f64 -1 (-.f64 1 z))
(+.f64 (-.f64 -1 z) 1)
(+.f64 -2 (-.f64 2 z))
(+.f64 (-.f64 -2 z) 2)
(*.f64 1 (neg.f64 z))
(*.f64 z -1)
(*.f64 (neg.f64 z) 1)
(.f64 2 (.f64 z -1/2))
(.f64 2 (.f64 (*.f64 z 1/2) -1))
(*.f64 -1 z)
(*.f64 4 (/.f64 (neg.f64 z) 4))
(*.f64 4 (/.f64 z -4))
(.f64 (.f64 z -2) 1/2)
(*.f64 (+.f64 z z) -1/2)
(.f64 (.f64 z -4) 1/4)
(.f64 (.f64 z 4) -1/4)
(.f64 1/2 (.f64 z -2))
(.f64 -2 (.f64 z 1/2))
(.f64 (.f64 z 1/2) -2)
(.f64 (.f64 z -1/2) 2)
(/.f64 z -1)
(/.f64 (neg.f64 z) 1)
(/.f64 (*.f64 z -2) 2)
(/.f64 (+.f64 z z) -2)
(/.f64 (*.f64 z -4) 4)
(/.f64 (*.f64 z 4) -4)
(/.f64 (.f64 2 (.f64 z 4)) -8)
(/.f64 (.f64 2 (.f64 z -4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 z -4)) (.f64 2 (.f64 z -4))) 16)
(/.f64 (/.f64 (.f64 2 (.f64 z 4)) -1) 8)
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 0)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1/2))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(*.f64 4 (/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4))
(.f64 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1/2)
(.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1/2) 2)
(/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(/.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 2)
(/.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4)) (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4))) 16)
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(+.f64 0 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) (/.f64 7713234287776531/20000000000000 (-.f64 3 z)))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)))
(.f64 (-.f64 3 z) (/.f64 10000000000000/7713234287776531 (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(.f64 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/2)
(*.f64 4 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 4))
(.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 2 (.f64 2 (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (.f64 (-.f64 3 z) 20000000000000/7713234287776531) (/.f64 1/2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (.f64 (-.f64 3 z) 20000000000000/7713234287776531) (/.f64 1 (.f64 2 (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 4) 1/4)
(.f64 1/2 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(.f64 10000000000000/7713234287776531 (/.f64 (-.f64 3 z) (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 10000000000000/7713234287776531 (/.f64 (.f64 2 (-.f64 3 z)) (.f64 2 (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(*.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) 2)
(.f64 20000000000000/7713234287776531 (/.f64 (-.f64 3 z) (.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 5000000000000/7713234287776531 (/.f64 (.f64 2 (-.f64 3 z)) (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (.f64 (-.f64 3 z) 5000000000000/7713234287776531) (/.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (.f64 2076511864126339/4000000000000 (pow.f64 z 2)))
(+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (+.f64 (.f64 z 904338909853211/2500000000000) (.f64 23912966683069397/40000000000000 (pow.f64 z 3))) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
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(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
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(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
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(+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 7713234287776531/30000000000000 (*.f64 z 7713234287776531/90000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 z 7713234287776531/90000000000000) (+.f64 7713234287776531/30000000000000 (.f64 (pow.f64 z 2) 7713234287776531/270000000000000)))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 z 7713234287776531/90000000000000) (.f64 (pow.f64 z 2) 7713234287776531/270000000000000)))
(+.f64 (+.f64 7713234287776531/30000000000000 (.f64 z 7713234287776531/90000000000000)) (.f64 (pow.f64 z 2) 7713234287776531/270000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 7713234287776531/30000000000000 (+.f64 (+.f64 (.f64 (pow.f64 z 2) 7713234287776531/270000000000000) (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)) (*.f64 z 7713234287776531/90000000000000)))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 z 7713234287776531/90000000000000) (+.f64 (.f64 (pow.f64 z 2) 7713234287776531/270000000000000) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000))))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 (pow.f64 z 2) 7713234287776531/270000000000000) (+.f64 (.f64 z 7713234287776531/90000000000000) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (.f64 (/.f64 1 z) 7713234287776531/10000000000000)))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000))))
(neg.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (.f64 (/.f64 1 z) 7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4)))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (+.f64 (.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4)))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (.f64 (/.f64 1 z) 7713234287776531/10000000000000)))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000))))
(neg.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (.f64 (/.f64 1 z) 7713234287776531/10000000000000)) (*.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4)))))
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(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 23139702863329593/10000000000000) (+.f64 (.f64 (/.f64 1 z) 7713234287776531/10000000000000) (+.f64 (.f64 (/.f64 1 (pow.f64 z 3)) 69419108589988779/10000000000000) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4)))))))
(+.f64 1 (-.f64 -1 z))
(neg.f64 z)
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(neg.f64 z)
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(*.f64 1 (neg.f64 z))
(neg.f64 z)
(*.f64 z -1)
(neg.f64 z)
(*.f64 (neg.f64 z) 1)
(neg.f64 z)
(.f64 2 (.f64 z -1/2))
(neg.f64 z)
(.f64 2 (.f64 (*.f64 z 1/2) -1))
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 4 (/.f64 (neg.f64 z) 4))
(neg.f64 z)
(*.f64 4 (/.f64 z -4))
(neg.f64 z)
(.f64 (.f64 z -2) 1/2)
(neg.f64 z)
(*.f64 (+.f64 z z) -1/2)
(neg.f64 z)
(.f64 (.f64 z -4) 1/4)
(neg.f64 z)
(.f64 (.f64 z 4) -1/4)
(neg.f64 z)
(.f64 1/2 (.f64 z -2))
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(.f64 -2 (.f64 z 1/2))
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(neg.f64 z)
(pow.f64 (neg.f64 z) 1)
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(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4)) (.f64 2 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 4))) 16)
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(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
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(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
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(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(*.f64 2 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)))
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(.f64 (-.f64 3 z) (/.f64 7713234287776531/10000000000000 (.f64 (-.f64 3 z) (-.f64 3 z))))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(.f64 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/2)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(*.f64 4 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 4))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (-.f64 3 z) (.f64 (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531))
(.f64 10000000000000/7713234287776531 (.f64 (-.f64 3 z) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(*.f64 10000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)))
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(.f64 (-.f64 3 z) (.f64 (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531))
(.f64 10000000000000/7713234287776531 (.f64 (-.f64 3 z) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(*.f64 10000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)))
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(.f64 (-.f64 3 z) (.f64 20000000000000/7713234287776531 (/.f64 1/2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (-.f64 3 z) (.f64 20000000000000/7713234287776531 (/.f64 (/.f64 -59493983178131529437839794393961/200000000000000000000000000 (-.f64 z 3)) (-.f64 3 z))))
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(.f64 (.f64 (-.f64 3 z) 20000000000000/7713234287776531) (/.f64 1/2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (-.f64 3 z) (.f64 20000000000000/7713234287776531 (/.f64 1/2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (-.f64 3 z) (.f64 20000000000000/7713234287776531 (/.f64 (/.f64 -59493983178131529437839794393961/200000000000000000000000000 (-.f64 z 3)) (-.f64 3 z))))
(.f64 (-.f64 3 z) (.f64 20000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/200000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 3 z)))))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 4) 1/4)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
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(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (-.f64 3 z) (.f64 (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531))
(.f64 10000000000000/7713234287776531 (.f64 (-.f64 3 z) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(*.f64 10000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)))
(.f64 10000000000000/7713234287776531 (/.f64 (.f64 2 (-.f64 3 z)) (.f64 2 (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (-.f64 3 z) (.f64 (/.f64 1 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531))
(.f64 10000000000000/7713234287776531 (.f64 (-.f64 3 z) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(*.f64 10000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)))
(*.f64 (/.f64 7713234287776531/20000000000000 (-.f64 3 z)) 2)
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(.f64 20000000000000/7713234287776531 (/.f64 (-.f64 3 z) (.f64 (-.f64 3 z) (*.f64 (-.f64 3 z) 200000000000000000000000000/59493983178131529437839794393961))))
(*.f64 20000000000000/7713234287776531 (/.f64 -59493983178131529437839794393961/200000000000000000000000000 (-.f64 z 3)))
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(.f64 5000000000000/7713234287776531 (.f64 (-.f64 3 z) (/.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (-.f64 3 z) (.f64 5000000000000/7713234287776531 (/.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (-.f64 3 z) (.f64 5000000000000/7713234287776531 (/.f64 (/.f64 59493983178131529437839794393961/50000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(.f64 2 (.f64 5000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z))))
(*.f64 5000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/50000000000000000000000000 (-.f64 3 z)))
(.f64 (.f64 (-.f64 3 z) 5000000000000/7713234287776531) (/.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 5000000000000/7713234287776531 (.f64 (-.f64 3 z) (/.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (-.f64 3 z) (.f64 5000000000000/7713234287776531 (/.f64 2 (.f64 (-.f64 3 z) (.f64 (-.f64 3 z) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (-.f64 3 z) (.f64 5000000000000/7713234287776531 (/.f64 (/.f64 59493983178131529437839794393961/50000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(.f64 2 (.f64 5000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z))))
(*.f64 5000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/50000000000000000000000000 (-.f64 3 z)))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))

localize186.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 537 to 386 computations (28.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

0.0ms

(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

0.0ms

-inf

(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

rewrite92.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-1`
1468×	`rational.json-2`
1468×	`rational.json-4`
1468×	`rational.json-3`
1464×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	104	35
2	251	35
3	583	35
4	1363	35
5	4373	35

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

Outputs

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simplify170.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-51`
998×	`rational.json-simplify-41`
926×	`rational.json-simplify-50`
802×	`rational.json-simplify-53`
778×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	251	5250
1	763	4938
2	2495	4854
3	4100	4854
4	6665	4668
5	7240	4668

Stop Event

1×	node limit

Counts

82 → 133

Calls

Call 1

Inputs
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(-.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 0)
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(*.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(*.f64 1 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(.f64 2 (.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1/2))
(.f64 (.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 2) 1/2)
(.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)) (/.f64 1 (.f64 (-.f64 4 z) (*.f64 (+.f64 (neg.f64 z) 5) -1000000000000000000000000000/2208984797906190952107506988843))))
(.f64 (.f64 4 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 1/4)
(.f64 1/2 (.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 2))
(.f64 (.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1/2) 2)
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(*.f64 (/.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 4) 4)
(/.f64 -883075145810703/5000000000000 (/.f64 (-.f64 4 z) (.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (*.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 4 (/.f64 (.f64 (+.f64 (.f64 z -2) 10) 400000000000000/2501468655737381) (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (*.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 4 (/.f64 (.f64 4 (.f64 (+.f64 z -4) 5000000000000/883075145810703)) (.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (*.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 2501468655737381/200000000000000 (/.f64 (+.f64 (neg.f64 z) 5) (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (*.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(/.f64 1 (/.f64 (.f64 (-.f64 4 z) (.f64 (+.f64 (neg.f64 z) 5) -1000000000000000000000000000/2208984797906190952107506988843)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703))))
(/.f64 1 (/.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 1 (/.f64 (.f64 (+.f64 z -4) 5000000000000/883075145810703) (.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 2501468655737381/100000000000000 (/.f64 (+.f64 (.f64 z -2) 10) (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 -883075145810703/2500000000000 (/.f64 (.f64 (-.f64 4 z) 2) (.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 2 (/.f64 (.f64 (+.f64 (neg.f64 z) 5) 400000000000000/2501468655737381) (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 2 (/.f64 (.f64 (+.f64 z -4) 10000000000000/883075145810703) (.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 (*.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 2) 2)
(/.f64 2501468655737381/50000000000000 (/.f64 (.f64 4 (+.f64 (neg.f64 z) 5)) (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 -883075145810703/1250000000000 (/.f64 (.f64 4 (-.f64 4 z)) (.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)))))
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703)) (.f64 (-.f64 4 z) (.f64 (+.f64 (neg.f64 z) 5) -1000000000000000000000000000/2208984797906190952107506988843)))
(/.f64 (*.f64 4 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 4)
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703))) (.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 10000000000000/883075145810703)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 8)
(/.f64 (.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 z -4) 5000000000000/883075145810703))) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))
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(pow.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)

Outputs
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(+.f64 (.f64 -105381455914863113/10000000000000000 z) (-.f64 (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)) 41652288634797769/1000000000000000))
(-.f64 (+.f64 (.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(+.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) (-.f64 (*.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) 41652288634797769/1000000000000000))
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(/.f64 32821537176690739/200000000000000 z)
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(*.f64 (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z -4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
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eval14.9s (9.9%)

Compiler: Compiled 148576 to 113290 computations (23.7% saved)

prune9.5s (6.3%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1406	24	1430
Fresh	2	1	3
Picked	0	1	1
Done	2	2	4
Total	1410	28	1438

Error

0.0b

Counts

1438 → 28

Alt Table

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Status	Error	Program
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
✓	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 1 z) 2513416904506957311/12500000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
✓	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	2.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	2.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
▶	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (-.f64 1 z)) (*.f64 (+.f64 2 (neg.f64 z)) -25000000000000000000000000/21295833160343550136109053437957))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
▶	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000)) (.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) (.f64 (-.f64 1 z) (.f64 (-.f64 2 z) -25000000000000000000000000/21295833160343550136109053437957)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.9b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (+.f64 (neg.f64 z) 3)) (.f64 (+.f64 (neg.f64 z) 4) -50000000000000000000000000/6811365493350374017225292011293))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶	0.5b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.5b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.0b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	2.3b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 10000000000000/6765203681218851 (.f64 (-.f64 1 z) (/.f64 (.f64 (-.f64 1 z) 100000000000000000000000000/45767980848377092942628957760201) (-.f64 1 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.1b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))

Compiler

Compiled 4380 to 3275 computations (25.2% saved)

localize697.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
✓	1.0b	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -1))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 519 to 357 computations (31.2% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational.json-1`
1232×	`rational.json-2`
1232×	`rational.json-4`
1232×	`rational.json-3`
1224×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	73	36
2	155	36
3	334	36
4	825	36
5	3376	36

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -1))
(sqrt.f64 (*.f64 2 (PI.f64)))

Outputs

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(*.f64 1/2 (/.f64 2 (exp.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (/.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (/.f64 (exp.f64 1) 4) (/.f64 (exp.f64 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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-2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 (exp.f64 -1)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))))

simplify128.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-35`
924×	`rational.json-simplify-39`
876×	`rational.json-simplify-2`
674×	`exponential.json-simplify-26`
674×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	3760
1	383	3760
2	1892	2688
3	4256	2688
4	7074	2688

Stop Event

1×	node limit

Counts

104 → 118

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1)) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 1) 1/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 1) 1/2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1)) 0)
(-.f64 0 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1))))
(.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 1) 1/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 1/2 (/.f64 2 (exp.f64 -1))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 1))))
(.f64 (exp.f64 -1) (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) 1)
(.f64 1 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)))
(.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 1) 1/2))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (+.f64 (/.f64 (exp.f64 1) 4) (/.f64 (exp.f64 1) 4)))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 1))) 1/2)
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) (/.f64 (exp.f64 1) 4))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (.f64 (exp.f64 1) 1/4))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (.f64 (*.f64 (exp.f64 1) 1/2) 1/2))
(.f64 (exp.f64 1) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (exp.f64 1) (/.f64 -1 (/.f64 -1 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (neg.f64 (exp.f64 1)))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 2 (.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))))
(.f64 (/.f64 (.f64 2 (exp.f64 -1)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1 (.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (/.f64 (.f64 2 (exp.f64 -1)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1/2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 4 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 -1) 4)))
(.f64 4 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) 4))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 1) 4)) 1/4)
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8) (/.f64 1 (.f64 (exp.f64 -1) 8)))
(.f64 (.f64 (exp.f64 1) 1/2) (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 1))))
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(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2) (/.f64 -1/2 (exp.f64 -1)))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -2) (/.f64 -1 (.f64 2 (exp.f64 -1))))
(.f64 (.f64 2 (exp.f64 1)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 1))) -1)
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(.f64 (/.f64 2 (exp.f64 -1)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 1) 1/2)) 2)
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(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 1) 4)))
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(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1/2) (.f64 2 (exp.f64 1)))
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(.f64 (.f64 (exp.f64 1) 1/4) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
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(.f64 (/.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 (exp.f64 -1) (.f64 2 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 1 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (/.f64 (.f64 2 (exp.f64 -1)) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 1/2 (sqrt.f64 (.f64 2 (PI.f64)))))
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(.f64 (/.f64 (exp.f64 -1) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 1 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (/.f64 (neg.f64 (exp.f64 -1)) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 -1 (sqrt.f64 (*.f64 2 (PI.f64)))))
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(.f64 (/.f64 1/2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 (.f64 2 (exp.f64 -1)) (sqrt.f64 (.f64 2 (PI.f64)))))
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(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) 4) 4)
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(.f64 (/.f64 -1 (.f64 2 (exp.f64 -1))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -2))
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(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
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(+.f64 (-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -1) -1)
(-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1)
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) 1/2)
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 1/4)
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) -1)
(.f64 4 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8) 1/8)
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2) -1/2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2) 2)
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8))
(.f64 -1/2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8) 8)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -2) -2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8)) 16)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4)) -4)
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))) 4)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))

Outputs
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(.f64 (/.f64 (exp.f64 -1) (.f64 2 (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 2 (exp.f64 -1))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 1 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) 1)))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1)) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (.f64 2 (exp.f64 -1)) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 1/2 (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 -1) (/.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))))
(.f64 (exp.f64 -1) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 2 (exp.f64 -1))))) (/.f64 1/2 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 2 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (.f64 2 (PI.f64))))) (exp.f64 1))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 (exp.f64 -1) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 1 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (exp.f64 -1))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (neg.f64 (exp.f64 -1)) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 -1 (sqrt.f64 (*.f64 2 (PI.f64)))))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))) (exp.f64 -1))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 2 (.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -1) 1)))))
(.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1)) (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))) (/.f64 (.f64 2 (exp.f64 -1)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 -1) 4)) 4)
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (.f64 (.f64 (exp.f64 1) 1/2) 1/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 -1/2 (exp.f64 -1)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 1/2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))) (/.f64 (.f64 2 (exp.f64 -1)) (sqrt.f64 (.f64 2 (PI.f64)))))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 (exp.f64 -1) (.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))) (/.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (.f64 2 (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64))))))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (.f64 2 (exp.f64 -1)) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (/.f64 (exp.f64 -1) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) 4) 4)
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 1 (.f64 (exp.f64 -1) 8)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(.f64 (/.f64 -1 (.f64 2 (exp.f64 -1))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -2))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1)) 1)
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1))))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(neg.f64 (/.f64 (/.f64 (neg.f64 (exp.f64 -1)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -1) (sqrt.f64 (.f64 2 (PI.f64)))))))
(+.f64 -1 (-.f64 1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 1)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 1))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 -1 (-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 0 (sqrt.f64 (*.f64 2 (PI.f64))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 (-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -1) -1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(sqrt.f64 (*.f64 2 (PI.f64)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 1/4)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) -1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 4 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8) 1/8)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2) -1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 -1/2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) -2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) -1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8) 8)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -2) -2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8)) 16)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4)) -4)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))) 4)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 2 (PI.f64)))

localize107.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
✓	1.0b	(+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 281 to 184 computations (34.5% saved)

series13.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
3.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite162.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`rational.json-1`
1310×	`rational.json-2`
1310×	`rational.json-3`
1308×	`exponential.json-3`
1308×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	233
1	293	229
2	672	229
3	1793	229
4	4341	229

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

Outputs

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simplify544.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

998×	`rational.json-simplify-51`
788×	`rational.json-simplify-50`
726×	`rational.json-simplify-35`
648×	`rational.json-simplify-53`
606×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	424	12520
1	1234	12152
2	3588	11978
3	4666	11912
4	5674	11912
5	7166	11912

Stop Event

1×	node limit

Counts

112 → 198

Calls

Call 1

Inputs
1291655165940663543103082059/4200000000000000000000000
(+.f64 (*.f64 16159431334887105871/78400000000000000000000000 z) 1291655165940663543103082059/4200000000000000000000000)
(+.f64 (.f64 16159431334887105871/78400000000000000000000000 z) (+.f64 1291655165940663543103082059/4200000000000000000000000 (.f64 129091010669041056297/4390400000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 16159431334887105871/78400000000000000000000000 z) (+.f64 1291655165940663543103082059/4200000000000000000000000 (+.f64 (.f64 1031437005281937915679/245862400000000000000000000000 (pow.f64 z 3)) (*.f64 129091010669041056297/4390400000000000000000000000 (pow.f64 z 2)))))
1441579419498879551/4687500000000000
(-.f64 1441579419498879551/4687500000000000 (*.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 1441579419498879551/4687500000000000 (+.f64 (.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)) (.f64 444344332714102833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 1441579419498879551/4687500000000000 (+.f64 (.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 3117938492674466389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 444344332714102833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
1441579419498879551/4687500000000000
(-.f64 1441579419498879551/4687500000000000 (*.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 1441579419498879551/4687500000000000 (+.f64 (.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)) (.f64 444344332714102833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 1441579419498879551/4687500000000000 (+.f64 (.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 3117938492674466389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 444344332714102833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 2 (.f64 (PI.f64) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))
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(.f64 (.f64 (PI.f64) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))) 2)
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(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))

Outputs
1291655165940663543103082059/4200000000000000000000000
(+.f64 (*.f64 16159431334887105871/78400000000000000000000000 z) 1291655165940663543103082059/4200000000000000000000000)
(+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 16159431334887105871/78400000000000000000000000 z))
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(+.f64 1291655165940663543103082059/4200000000000000000000000 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (pow.f64 z 2)) (.f64 16159431334887105871/78400000000000000000000000 z)))
(+.f64 1291655165940663543103082059/4200000000000000000000000 (+.f64 (.f64 16159431334887105871/78400000000000000000000000 z) (.f64 129091010669041056297/4390400000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 16159431334887105871/78400000000000000000000000 z) (+.f64 1291655165940663543103082059/4200000000000000000000000 (+.f64 (.f64 1031437005281937915679/245862400000000000000000000000 (pow.f64 z 3)) (*.f64 129091010669041056297/4390400000000000000000000000 (pow.f64 z 2)))))
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1441579419498879551/4687500000000000
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1441579419498879551/4687500000000000
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(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize410.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
✓	0.9b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 473 to 328 computations (30.7% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
1.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
1.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

rewrite203.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational.json-1`
952×	`rational.json-2`
952×	`rational.json-3`
950×	`rational.json-simplify-50`
950×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	370
1	418	366
2	963	354
3	2694	354
4	6659	354

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) 6418621569060470797/30000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) 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simplify1.4s (0.9%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational.json-simplify-50`
1246×	`rational.json-simplify-51`
836×	`rational.json-simplify-53`
738×	`rational.json-simplify-41`
698×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	375	17564
1	1152	17246
2	3566	17076
3	5037	16990
4	6455	16990

Stop Event

1×	node limit

Counts

88 → 146

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 255590905325635605746351952839/705600000000000000000000000 z) (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 255590905325635605746351952839/705600000000000000000000000 z) (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)))))
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (.f64 25327131108499753571283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (.f64 25327131108499753571283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 255590905325635605746351952839/705600000000000000000000000 z) (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2))))
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6418621569060470797/30000000000000000
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6418621569060470797/30000000000000000
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(.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) 6418621569060470797/30000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))) (-.f64 0 (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(pow.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) 6418621569060470797/30000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))) 1)
(.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))
(.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 (+.f64 6418621569060470797/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))

localize307.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

Compiler

Compiled 600 to 432 computations (28% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	0	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`rational.json-1`
1856×	`rational.json-2`
1856×	`rational.json-4`
1856×	`rational.json-3`
886×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	66
1	183	66
2	438	66
3	987	66
4	2339	66
5	5858	66

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

Outputs

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simplify253.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-35`
1240×	`rational.json-simplify-43`
1236×	`rational.json-simplify-2`
1012×	`rational.json-simplify-1`
868×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	360	7666
1	1277	5362
2	4788	5362
3	7222	5284

Stop Event

1×	node limit

Counts

128 → 154

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
38562707161501011997/150000000000000000
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(/.f64 -19279621442059684497/25000000000000000 z)
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(/.f64 1 (/.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (+.f64 z -2) 2500000000000/3147848041806007))))
(/.f64 1 (/.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007))))))
(/.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(/.f64 6765203681218851/5000000000000 (/.f64 (.f64 2 (-.f64 1 z)) (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (+.f64 z -2) 2500000000000/3147848041806007))))
(/.f64 -3147848041806007/1250000000000 (/.f64 (.f64 (+.f64 z -2) -2) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007))))))
(/.f64 (*.f64 2 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)
(/.f64 6765203681218851/2500000000000 (/.f64 (.f64 (-.f64 1 z) 4) (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (+.f64 z -2) 2500000000000/3147848041806007))))
(/.f64 4 (/.f64 (.f64 2 (.f64 (-.f64 1 z) 20000000000000/6765203681218851)) (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007))))
(/.f64 4 (/.f64 (/.f64 (.f64 (-.f64 1 z) 4) 6765203681218851/10000000000000) (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (+.f64 z -2) 2500000000000/3147848041806007))))
(/.f64 4 (/.f64 (.f64 2 (.f64 (-.f64 2 z) -5000000000000/3147848041806007)) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007))))))
(/.f64 4 (/.f64 (/.f64 (.f64 (-.f64 2 z) 4) -3147848041806007/2500000000000) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007))))))
(/.f64 -3147848041806007/625000000000 (/.f64 (.f64 (-.f64 2 z) 4) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007))))))
(/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (-.f64 2 z) (.f64 (-.f64 1 z) -25000000000000000000000000/21295833160343550136109053437957)))
(/.f64 (*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 4) 4)
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007))) (.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 4)) 8)
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Outputs
469507597606837/10000000000000
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38562707161501011997/150000000000000000
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(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 -3464277381643003/25000000000000000 (/.f64 (+.f64 (neg.f64 z) 6) (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)))) 1/2) (*.f64 (-.f64 3 z) 20000000000000/7713234287776531))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 -3464277381643003/25000000000000000 (/.f64 (+.f64 (neg.f64 z) 6) (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)))) 10000000000000/7713234287776531) (-.f64 3 z))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)) 2) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/12500000000000000))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (+.f64 (neg.f64 z) 6)) -25000000000000000/3464277381643003)
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 2 (+.f64 (neg.f64 z) 6))) -12500000000000000/3464277381643003)
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) 1/2) (.f64 (+.f64 (neg.f64 z) 6) -50000000000000000/3464277381643003))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)) -25000000000000000/3464277381643003) (+.f64 (neg.f64 z) 6))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))) (-.f64 0 (.f64 (+.f64 (neg.f64 z) 6) (.f64 (-.f64 3 z) -250000000000000000000000000000/26720783082457513912688483762593))))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (neg.f64 (/.f64 -3464277381643003/25000000000000000 (/.f64 (+.f64 (neg.f64 z) 6) (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))))) (neg.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))) (neg.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (/.f64 (+.f64 (neg.f64 z) 6) -3464277381643003/25000000000000000)) (/.f64 (*.f64 (-.f64 3 z) 20000000000000/7713234287776531) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (neg.f64 z) 6))))
(pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

localize950.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
	1.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.3b	(+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000))

Compiler

Compiled 572 to 406 computations (29% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000))

0.0ms

inf

(+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000))

0.0ms

-inf

(+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000))

rewrite176.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2474×	`rational.json-simplify-2`
1696×	`rational.json-simplify-1`
1682×	`rational.json-simplify-35`
1280×	`exponential.json-3`
1280×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	89	31
2	203	31
3	403	31
4	808	31
5	1938	31
6	3871	31
7	5145	31
8	6331	31
9	7266	31
10	7266	31

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (+.f64 z -1) -40000000000000/6765203681218851) (*.f64 (+.f64 z -2) 10000000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 z -1) -40000000000000/6765203681218851) (*.f64 (+.f64 z -2) 10000000000000/3147848041806007)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)))))

simplify1.3s (0.9%)

Algorithm

1×	egg-herbie

Rules

6420×	`rational.json-simplify-51`
2904×	`rational.json-simplify-35`
2320×	`rational.json-simplify-2`
1502×	`rational.json-simplify-49`
1094×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	826
1	139	826
2	256	826
3	836	826
4	1641	826
5	3278	826
6	3997	826
7	4051	826
8	4088	826
9	4118	826
10	4643	826
11	4809	826
12	4907	826
13	4979	826
14	5030	826
15	5081	826
16	5132	826
17	5183	826
18	5234	826
19	6269	826
20	6949	826
21	7120	826
22	7158	826
23	7194	826
24	7229	826
25	7264	826
26	7299	826
27	7334	826
28	7369	826
29	7404	826
30	7439	826
31	7474	826
32	7509	826
33	7509	826
34	7544	826
35	7579	826

Stop Event

1×	node limit

Counts

34 → 26

Calls

Call 1

Inputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 0)
(.f64 2 (+.f64 (.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)
(.f64 1 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)))
(.f64 (+.f64 (.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4))
(.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)))
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4))
(.f64 1/4 (+.f64 (.f64 (+.f64 z -1) -40000000000000/6765203681218851) (*.f64 (+.f64 z -2) 10000000000000/3147848041806007)))
(.f64 (+.f64 (.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)) 2)
(.f64 (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 4)
(.f64 (+.f64 (.f64 (+.f64 z -1) -40000000000000/6765203681218851) (*.f64 (+.f64 z -2) 10000000000000/3147848041806007)) 1/4)
(/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)
(/.f64 (+.f64 (.f64 (+.f64 z -1) -20000000000000/6765203681218851) (.f64 (+.f64 z -2) 5000000000000/3147848041806007)) 2)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8))))) 128)
(pow.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)

Outputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 0)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 2 (+.f64 (.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 1 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)))
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 (+.f64 (.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)) 1/2)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 4 (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4))
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 1/4)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 1/2 (+.f64 (.f64 (+.f64 z -1) -20000000000000/6765203681218851) (*.f64 (+.f64 z -2) 5000000000000/3147848041806007)))
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 1/4 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4))
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 1/4 (+.f64 (.f64 (+.f64 z -1) -40000000000000/6765203681218851) (*.f64 (+.f64 z -2) 10000000000000/3147848041806007)))
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 (+.f64 (.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)) 2)
(.f64 2 (+.f64 (.f64 (+.f64 z -1) -5000000000000/6765203681218851) (*.f64 (+.f64 z -2) 1250000000000/3147848041806007)))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 4)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(.f64 (+.f64 (.f64 (+.f64 z -1) -40000000000000/6765203681218851) (*.f64 (+.f64 z -2) 10000000000000/3147848041806007)) 1/4)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (+.f64 (.f64 (+.f64 z -1) -20000000000000/6765203681218851) (.f64 (+.f64 z -2) 5000000000000/3147848041806007)) 2)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 4) 4)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8) 8)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8)) 16)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8))) 32)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8)))) 64)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 8))))) 128)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))
(pow.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851)) 1)
(+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (+.f64 z -1) -10000000000000/6765203681218851))

eval4.4s (2.9%)

Compiler: Compiled 109886 to 77631 computations (29.4% saved)

prune581.0ms (0.4%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1223	17	1240
Fresh	7	13	20
Picked	1	0	1
Done	4	3	7
Total	1235	33	1268

Error

Counts

1268 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
	2.1b	(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 1 z) 2513416904506957311/12500000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 (-.f64 1 z) -21295833160343550136109053437957/25000000000000000000000000)) (-.f64 2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (.f64 (-.f64 1 z) 10000000000000/6765203681218851))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)) -25000000000000000/3464277381643003) (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
▶	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
✓	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	2.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (-.f64 1 z)) (*.f64 (+.f64 2 (neg.f64 z)) -25000000000000000000000000/21295833160343550136109053437957))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
	2.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z)))))
▶	62.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
	50.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 6418621569060470797/30000000000000000)))
	2.2b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	0.5b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.0b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 10000000000000/6765203681218851 (.f64 (-.f64 1 z) (/.f64 (.f64 (-.f64 1 z) 100000000000000000000000000/45767980848377092942628957760201) (-.f64 1 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	2.2b	(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	2.3b	(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
	2.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
▶	2.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 4248 to 3189 computations (24.9% saved)

localize330.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
	1.0b	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -1))
✓	2.3b	(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))

Compiler

Compiled 657 to 487 computations (25.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))

0.0ms

inf

(+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))

0.0ms

-inf

(+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))

rewrite226.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1918×	`rational.json-simplify-1`
1368×	`rational.json-simplify-35`
1312×	`exponential.json-3`
1312×	`rational.json-1`
1312×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	86	31
2	166	31
3	316	31
4	599	31
5	1325	31
6	3005	31
7	4932	31
8	5944	31
9	7027	31
10	7149	31
11	7321	31
12	7512	31

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)))))

simplify777.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2990×	`rational.json-simplify-35`
2300×	`rational.json-simplify-49`
1518×	`rational.json-simplify-2`
1142×	`rational.json-simplify-51`
962×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	764
1	126	764
2	217	764
3	657	764
4	2011	764
5	4071	764
6	4811	764
7	4864	764
8	4900	764
9	4930	764
10	5455	764
11	5599	764
12	5690	764
13	5762	764
14	5813	764
15	5864	764
16	5915	764
17	5966	764
18	6017	764
19	6068	764
20	6119	764
21	6170	764
22	6221	764
23	6272	764
24	6323	764
25	6374	764
26	6374	764
27	6425	764
28	6476	764
29	6527	764
30	6578	764
31	6629	764
32	6680	764
33	6731	764

Stop Event

1×	node limit

Counts

32 → 24

Calls

Call 1

Inputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 0)
(.f64 1 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)))
(.f64 2 (+.f64 (.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)))
(.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)
(.f64 4 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 4))
(.f64 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)) 1/2)
(.f64 (.f64 2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851))) 1/4)
(.f64 1/2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)))
(.f64 1/4 (.f64 2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851))))
(.f64 (+.f64 (.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)) 2)
(.f64 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 4) 4)
(/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)
(/.f64 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851)) 2)
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851))) 4)
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8))))) 128)
(pow.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)

Outputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 0)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 1 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)))
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 2 (+.f64 (.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)))
(.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 4 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 4))
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)) 1/2)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 (.f64 2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851))) 1/4)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 1/2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851)))
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 1/4 (.f64 2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851))))
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(.f64 (+.f64 (.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)) 2)
(.f64 2 (+.f64 (.f64 (-.f64 2 z) -1250000000000/3147848041806007) (*.f64 (-.f64 1 z) 5000000000000/6765203681218851)))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 4) 4)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (.f64 (-.f64 1 z) 20000000000000/6765203681218851)) 2)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (*.f64 (-.f64 1 z) 20000000000000/6765203681218851))) 4)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8) 8)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8)) 16)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8))) 32)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8)))) 64)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 8))))) 128)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(pow.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) 1)
(+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))
✓	0.5b	(/.f64 (exp.f64 -15/2) z)
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
✓	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 45 to 35 computations (22.2% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
1.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))
0.0ms	z	@	inf	(/.f64 (exp.f64 -15/2) z)

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`rational.json-simplify-50`
1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-4`
1524×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	90
1	106	90
2	223	82
3	521	82
4	1340	82
5	4303	82

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 -15/2) z)
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))

Outputs
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simplify249.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational.json-simplify-51`
934×	`rational.json-simplify-50`
920×	`rational.json-simplify-2`
830×	`rational.json-simplify-1`
790×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	255	3631
1	830	3601
2	2664	3595
3	3924	3595
4	6247	3589
5	7542	3589

Stop Event

1×	node limit

Counts

139 → 151

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
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Outputs
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(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 1 (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))) 1)
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (exp.f64 -15/2) 2) (/.f64 (+.f64 z z) (sqrt.f64 (.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 2 (/.f64 (.f64 z (/.f64 2 (exp.f64 -15/2))) (sqrt.f64 (.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))) 2)
(.f64 (.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))) (/.f64 (/.f64 (exp.f64 -15/2) z) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) 1)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (.f64 (PI.f64) 15))))
(.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64)))))
(/.f64 (.f64 (exp.f64 -15/2) 4) (/.f64 (.f64 z 4) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 -1 (/.f64 (/.f64 z (exp.f64 -15/2)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 4 (/.f64 (.f64 2 (.f64 z (/.f64 2 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 4 (/.f64 (/.f64 (.f64 z 4) (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))) 4) 4)
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (/.f64 (exp.f64 -15/2) z) 4) (/.f64 4 (sqrt.f64 (.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) 2) 4) (/.f64 (.f64 (+.f64 z z) 4) (sqrt.f64 (.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 1/2 (/.f64 (/.f64 z (.f64 (exp.f64 -15/2) 2)) (sqrt.f64 (.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1/2 z) (/.f64 (/.f64 1/2 (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (exp.f64 -15/2) -2) (/.f64 (.f64 2 (neg.f64 z)) (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (exp.f64 -15/2) -2) (/.f64 (+.f64 z z) (neg.f64 (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 15))) (*.f64 z (/.f64 2 (exp.f64 -15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))) 4)) 8)
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) z) (exp.f64 15/2))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (/.f64 (exp.f64 -15/2) z) 1/4) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)) (/.f64 -1 (sqrt.f64 (*.f64 (PI.f64) 15))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (sqrt.f64 15)) (-.f64 0 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 15) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (-.f64 0 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15))))
(/.f64 (sqrt.f64 15) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))) 4))) 16)
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) 2) (/.f64 z (.f64 (exp.f64 -15/2) 2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (neg.f64 z)) (neg.f64 (exp.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) 1/2) (.f64 z (/.f64 2 (exp.f64 -15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (exp.f64 15/2)) z)
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 15))) (neg.f64 (/.f64 z (exp.f64 -15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 15)))) (neg.f64 (*.f64 z (/.f64 2 (exp.f64 -15/2)))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) z)) (neg.f64 (exp.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 1/2 z))) (neg.f64 (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) 2)) (-.f64 0 (/.f64 z (.f64 (exp.f64 -15/2) 2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (neg.f64 z))) (-.f64 0 (neg.f64 (exp.f64 15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) 1/2)) (neg.f64 (.f64 z (/.f64 2 (exp.f64 -15/2)))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (exp.f64 15/2))) (neg.f64 z))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 15)))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 15)))) (-.f64 0 (neg.f64 (/.f64 z (exp.f64 -15/2)))))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))) 1)
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))

localize110.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.3b	(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
✓	1.0b	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 175 to 113 computations (35.4% saved)

series11.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
3.0ms	z	@	-inf	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
2.0ms	z	@	0	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
1.0ms	z	@	inf	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
0.0ms	z	@	0	(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2096×	`rational.json-1`
2096×	`rational.json-2`
2096×	`rational.json-3`
1040×	`rational.json-simplify-35`
910×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	106
1	188	102
2	382	102
3	924	102
4	2469	102
5	6565	102

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs

(*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))

(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))

Outputs

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simplify248.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-43`
1304×	`rational.json-simplify-2`
866×	`rational.json-simplify-41`
788×	`rational.json-simplify-35`
736×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	9454
1	1038	9196
2	3147	9090
3	5547	8754
4	7710	8754

Stop Event

1×	node limit

Counts

110 → 133

Calls

Call 1

Inputs
(.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/50000000000000000000000 (exp.f64 -15/2)))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4752083885684697196545807/50000000000000000000000 (exp.f64 -15/2)) (.f64 6418621569060470797/60000000000000000 (exp.f64 -15/2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/50000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/50000000000000000000000 (exp.f64 -15/2)))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))))
(.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))))
(.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(+.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) 0)
(+.f64 0 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(-.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) 0)
(/.f64 2 (.f64 2 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(/.f64 2 (/.f64 2 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(/.f64 2 (/.f64 (.f64 2 (exp.f64 15/2)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (exp.f64 z))))
(/.f64 2 (/.f64 (.f64 2 (exp.f64 (neg.f64 z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (/.f64 (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (exp.f64 15/2)))))
(/.f64 2 (/.f64 (.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))) (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(/.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (/.f64 (/.f64 2 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) 2))
(/.f64 1 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(/.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(/.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (/.f64 (/.f64 2 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (/.f64 (exp.f64 15/2) (exp.f64 z)))
(/.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) 1)
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(/.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))) 2)
(/.f64 4 (+.f64 (.f64 2 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))) (.f64 2 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))))
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(/.f64 4 (/.f64 (.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) 4) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(/.f64 4 (/.f64 (.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) 4) (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) (.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))))
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (/.f64 (/.f64 (.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2))) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (/.f64 (/.f64 2 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))) 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) 4)) (.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) 4))
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(pow.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) 1)
(+.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 0)
(+.f64 0 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))
(-.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 0)
(/.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 1)
(/.f64 (*.f64 (/.f64 1 z) 14256251657054091589637421/12500000000000000000000) 2)
(/.f64 (*.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000) 4)
(/.f64 (.f64 2 (.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000)) (.f64 2 (.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000))) 16)
(pow.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 1)

Outputs
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(.f64 14256251657054091589637421/25000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 14256251657054091589637421/25000000000000000000000 (sqrt.f64 (PI.f64))))
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(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (/.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (exp.f64 15/2))) (exp.f64 -1))) (-.f64 0 (exp.f64 (-.f64 1 z))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))) (/.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (exp.f64 15/2))) (*.f64 (exp.f64 -1) (exp.f64 (-.f64 1 z))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))) (/.f64 (/.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (exp.f64 15/2)) (exp.f64 (+.f64 -1 (-.f64 1 z)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))) (exp.f64 z)))) (exp.f64 15/2))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
(/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) (exp.f64 (+.f64 z -15/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (/.f64 (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))) (exp.f64 15/2))))) (exp.f64 (neg.f64 z)))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
(/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) (exp.f64 (+.f64 z -15/2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
(/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) (exp.f64 (+.f64 z -15/2)))
(pow.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) 1)
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))
(/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (exp.f64 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))) (exp.f64 (+.f64 z -15/2)))
(+.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 0)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(+.f64 0 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(-.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 0)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(/.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 1)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(/.f64 (*.f64 (/.f64 1 z) 14256251657054091589637421/12500000000000000000000) 2)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(/.f64 (*.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000) 4)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(/.f64 (.f64 2 (.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000)) 8)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000)) (.f64 2 (.f64 (/.f64 1 z) 14256251657054091589637421/6250000000000000000000))) 16)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))
(pow.f64 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) 1)
(*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))

localize216.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

Compiler

Compiled 520 to 375 computations (27.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

rewrite129.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`rational.json-simplify-35`
1042×	`exponential.json-3`
1042×	`rational.json-1`
1042×	`rational.json-2`
1042×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	176
1	277	176
2	650	164
3	1693	164
4	3810	164
5	7579	164

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs

(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))

(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 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simplify428.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5650×	`rational.json-simplify-41`
1618×	`rational.json-simplify-35`
1178×	`rational.json-simplify-2`
1060×	`rational.json-simplify-1`
952×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2744
1	264	2744
2	540	2744
3	1332	2744
4	2667	2744
5	3529	2744
6	3955	2744
7	4053	2744
8	4142	2744
9	4221	2744
10	4297	2744
11	4373	2744
12	4457	2744
13	4533	2744
14	4609	2744
15	4685	2744
16	4761	2744
17	4837	2744
18	4913	2744

Stop Event

1×	node limit

Counts

50 → 81

Calls

Call 1

Inputs
22877660562801769241/75000000000000000
(+.f64 22877660562801769241/75000000000000000 (*.f64 134230295382513208999/300000000000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 22877660562801769241/75000000000000000 (.f64 134230295382513208999/300000000000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 22877660562801769241/75000000000000000 (*.f64 134230295382513208999/300000000000000000 z))))
(*.f64 25709626200127888999/300000000000000000 z)
(+.f64 19356353580750491741/75000000000000000 (*.f64 25709626200127888999/300000000000000000 z))
(+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 25709626200127888999/300000000000000000 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 25709626200127888999/300000000000000000 z))))
(*.f64 25709626200127888999/300000000000000000 z)
(+.f64 19356353580750491741/75000000000000000 (*.f64 25709626200127888999/300000000000000000 z))
(+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 25709626200127888999/300000000000000000 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 25709626200127888999/300000000000000000 z))))
1291655165940663543103082059/4200000000000000000000000
(+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 105354220713934536262117317613/235200000000000000000000000 z))
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(+.f64 1291655165940663543103082059/4200000000000000000000000 (+.f64 (.f64 2279618720113606672970737056297/4390400000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 105354220713934536262117317613/235200000000000000000000000 z) (*.f64 146987404633216264759700933115679/245862400000000000000000000000 (pow.f64 z 3)))))
(*.f64 25709626200127888999/300000000000000000 z)
(+.f64 19356353580750491741/75000000000000000 (*.f64 25709626200127888999/300000000000000000 z))
(+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 14252787379672448586637421/25000000000000000000000 (/.f64 1 z)) (.f64 25709626200127888999/300000000000000000 z)))
(+.f64 (.f64 11120132986464954629647167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 14252787379672448586637421/25000000000000000000000 (/.f64 1 z)) (*.f64 25709626200127888999/300000000000000000 z))))
(*.f64 25709626200127888999/300000000000000000 z)
(+.f64 19356353580750491741/75000000000000000 (*.f64 25709626200127888999/300000000000000000 z))
(+.f64 19356353580750491741/75000000000000000 (+.f64 (.f64 14252787379672448586637421/25000000000000000000000 (/.f64 1 z)) (.f64 25709626200127888999/300000000000000000 z)))
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(-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 0)
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(.f64 1/2 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000)))))
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(/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 1)
(/.f64 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000)))) 2)
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(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4)) (.f64 2 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 4))) 16)
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) 1)
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(.f64 (.f64 2 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
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(/.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 1)
(/.f64 (.f64 2 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 2)
(/.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4)) (.f64 2 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4))) 16)
(pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 1)

Outputs
22877660562801769241/75000000000000000
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1291655165940663543103082059/4200000000000000000000000
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(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4)) 8)
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4)) (.f64 2 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 4))) 16)
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))
(pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) 19356353580750491741/75000000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 1)
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))
(+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))

localize188.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
✓	1.0b	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))
	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 515 to 353 computations (31.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))

1.0ms

-inf

(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))

1.0ms

inf

(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-4`
1524×	`rational.json-3`
1510×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	121	35
2	260	35
3	638	33
4	1891	33
5	5070	33

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) (/.f64 1 (*.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 -1 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))) (exp.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 1) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z)))) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) 1/2) (*.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) 4)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 (+.f64 15/2 (neg.f64 z)))) (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))))))

simplify202.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational.json-simplify-49`
1028×	`rational.json-simplify-43`
888×	`rational.json-simplify-1`
852×	`rational.json-simplify-2`
672×	`rational.json-simplify-35`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	121	2483
1	234	2363
2	472	2037
3	1006	1823
4	2802	1767
5	5777	1753
6	7581	1731

Stop Event

1×	node limit

Counts

47 → 66

Calls

Call 1

Inputs
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 15/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 0)
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(+.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2))
(-.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 0)
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 2 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2))
(.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 1 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 1)
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 1/2)
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (/.f64 1 (.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) 4)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z))))
(.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 -1 (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))) (exp.f64 1))
(.f64 (exp.f64 1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)))
(.f64 (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z)))) (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) 1/2) (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))) -1)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 2)
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2) 2)
(.f64 (/.f64 1 (.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) 4)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
(.f64 (/.f64 -1 (exp.f64 (+.f64 15/2 (neg.f64 z)))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))

Outputs
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 z (/.f64 (sqrt.f64 2) (exp.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 2) (exp.f64 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2)))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) z)))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) 1/2) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1)) (pow.f64 z 2)) (.f64 (sqrt.f64 (PI.f64)) -1)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 z (/.f64 (sqrt.f64 2) (exp.f64 15/2))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/2) (pow.f64 z 2)) (neg.f64 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2))))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/2) (*.f64 (pow.f64 z 2) (neg.f64 (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/2) (neg.f64 (pow.f64 z 2))) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 z (neg.f64 (*.f64 (pow.f64 z 2) -1/2))))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 15/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/6))) (pow.f64 z 3)) (.f64 (sqrt.f64 (PI.f64)) -1)) (+.f64 (.f64 (.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) 1/2) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1)) (pow.f64 z 2)) (.f64 (sqrt.f64 (PI.f64)) -1)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 z (/.f64 (sqrt.f64 2) (exp.f64 15/2)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2))) (/.f64 (sqrt.f64 2) (exp.f64 15/2)))) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/2) (pow.f64 z 2)) (neg.f64 (sqrt.f64 (PI.f64))))) (.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -7/6)) (pow.f64 z 3)) (neg.f64 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 2) (/.f64 z (exp.f64 15/2))))) (.f64 (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -7/6)) (pow.f64 z 3)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 -1/2 (pow.f64 z 2))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) z))) (.f64 (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (pow.f64 z 2) -1/2)) (.f64 (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -7/6)) (pow.f64 z 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 z (neg.f64 (.f64 (pow.f64 z 2) -1/2)))) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -7/6)) (neg.f64 (pow.f64 z 3))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 z (neg.f64 (.f64 (pow.f64 z 2) -1/2)))) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/6) 0) (neg.f64 (pow.f64 z 3))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) -1/6) (neg.f64 (pow.f64 z 3))) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (+.f64 z (neg.f64 (*.f64 (pow.f64 z 2) -1/2)))))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(+.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 0)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(+.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(+.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(-.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 0)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 2 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 1 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (/.f64 1 (.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) 4)))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 1) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z)))))
(.f64 (exp.f64 1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 1 (neg.f64 (+.f64 15/2 (-.f64 1 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (-.f64 1 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) (sqrt.f64 (.f64 2 (PI.f64))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 -1 (exp.f64 (+.f64 15/2 (neg.f64 z)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))) (exp.f64 1))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 1) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z)))))
(.f64 (exp.f64 1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 1 (neg.f64 (+.f64 15/2 (-.f64 1 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (-.f64 1 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (exp.f64 1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 1) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 1 (neg.f64 (+.f64 15/2 (-.f64 1 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (-.f64 1 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 1)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 1) (/.f64 (exp.f64 -15/2) (exp.f64 (-.f64 1 z)))))
(.f64 (exp.f64 1) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 1 (neg.f64 (+.f64 15/2 (-.f64 1 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (-.f64 1 (+.f64 15/2 (-.f64 1 z)))))
(.f64 (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z)))) (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) 1/2) (.f64 2 (sqrt.f64 (.f64 2 (PI.f64)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))) -1)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 2)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 1 (.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) 4)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (/.f64 -1 (exp.f64 (+.f64 15/2 (neg.f64 z)))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 1/2 (exp.f64 (+.f64 15/2 (neg.f64 z))))) 2)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 15/2 (neg.f64 z)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))))))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 (+.f64 15/2 (neg.f64 z)))))))
(/.f64 1 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 z) (exp.f64 -15/2)))

eval8.5s (5.7%)

Compiler: Compiled 77597 to 55343 computations (28.7% saved)

prune2.1s (1.4%)

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	1001	30	1031
Fresh	5	20	25
Picked	1	0	1
Done	2	5	7
Total	1009	55	1064

Error

Counts

1064 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
	2.3b	(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
	2.5b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
	2.4b	(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
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	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
✓	0.5b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.0b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.0b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 10000000000000/6765203681218851 (.f64 (-.f64 1 z) (/.f64 (.f64 (-.f64 1 z) 100000000000000000000000000/45767980848377092942628957760201) (-.f64 1 z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.3b	(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
	3.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
	2.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
	2.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
	2.4b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
	2.4b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
▶	2.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
	2.4b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
	2.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
	2.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
	2.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
▶	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))

Compiler

Compiled 5183 to 3974 computations (23.3% saved)

localize331.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 1 (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (.f64 (-.f64 1 z) 10000000000000/6765203681218851)))

Compiler

Compiled 651 to 481 computations (26.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (/.f64 1 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)))

0.0ms

inf

(+.f64 (/.f64 1 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)))

0.0ms

-inf

(+.f64 (/.f64 1 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)))

rewrite140.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2042×	`rational.json-1`
2042×	`rational.json-2`
2042×	`rational.json-3`
1344×	`rational.json-simplify-35`
906×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	112	31
2	285	31
3	742	31
4	2449	31
5	6669	31

Stop Event

1×	node limit

Counts

1 → 181

Calls

Call 1

Inputs
(+.f64 (/.f64 1 (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (.f64 (-.f64 1 z) 10000000000000/6765203681218851)))

Outputs

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((x *.f64 (*.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851))) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 z -2) (*.f64 (-.f64 1 z) 25000000000000000000000000/21295833160343550136109053437957))) (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 z) (*.f64 (+.f64 z -2) 50000000000000000000000000/21295833160343550136109053437957))) (*.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 z -2) 25000000000000000000000000/21295833160343550136109053437957) (/.f64 (+.f64 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 z -2) (*.f64 2500000000000/3147848041806007 (-.f64 1 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simplify288.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational.json-simplify-35`
886×	`rational.json-simplify-51`
838×	`rational.json-simplify-50`
786×	`rational.json-simplify-41`
772×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	12173
1	1604	12055
2	5500	11147
3	7912	11147

Stop Event

1×	node limit

Counts

193 → 241

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(-.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 0)
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(*.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 1)
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(*.f64 (/.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) 2)
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(/.f64 1 (/.f64 (-.f64 1 z) (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (*.f64 (+.f64 z -2) 25000000000000000000000000/21295833160343550136109053437957))))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))))
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(/.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 (+.f64 z -2) (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) 3147848041806007/2500000000000)))
(/.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 (/.f64 (.f64 (+.f64 z -2) 2) (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) 3147848041806007/2500000000000)) 2))
(/.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 (/.f64 (.f64 (+.f64 z -2) 4) (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) 3147848041806007/2500000000000)) 4))
(/.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 1)
(/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 z -2) (.f64 (-.f64 1 z) 25000000000000000000000000/21295833160343550136109053437957)))
(/.f64 2 (*.f64 2 (/.f64 1 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))))
(/.f64 2 (/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 z -2) 50000000000000000000000000/21295833160343550136109053437957)) (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))
(/.f64 2 (/.f64 (.f64 (-.f64 1 z) 2) (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (+.f64 z -2) 25000000000000000000000000/21295833160343550136109053437957))))
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(pow.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 1)

Outputs
469507597606837/10000000000000
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(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (/.f64 (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z -1)) (+.f64 z -2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (-.f64 1 z)))) (*.f64 (+.f64 z -2) 25000000000000000000000000/21295833160343550136109053437957))
(.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (/.f64 (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z -1)) (+.f64 z -2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) 6765203681218851/10000000000000))) (.f64 (+.f64 z -2) (*.f64 2500000000000/3147848041806007 (-.f64 1 z))))
(.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (/.f64 (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z -1)) (+.f64 z -2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (*.f64 (+.f64 z -2) 25000000000000000000000000/21295833160343550136109053437957)))) (-.f64 1 z))
(.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (/.f64 (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z -1)) (+.f64 z -2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)))))) (neg.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851)))
(.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(.f64 (+.f64 (.f64 (+.f64 z -2) 2500000000000/3147848041806007) (*.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (/.f64 (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z -1)) (+.f64 z -2)))
(pow.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 1)
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))

localize49.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
	0.5b	(/.f64 (exp.f64 -15/2) z)
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
✓	1.0b	(*.f64 15 (PI.f64))

Compiler

Compiled 39 to 31 computations (20.5% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
0.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
0.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
0.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))

rewrite115.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`rational.json-1`
1982×	`rational.json-2`
1982×	`rational.json-4`
1982×	`rational.json-3`
746×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	100	73
2	210	73
3	470	73
4	1162	73
5	5180	73

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs

(*.f64 15 (PI.f64))

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))

(*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 15 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 15 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 15 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 30) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 60) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) 60)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (PI.f64) 60)) (*.f64 2 (*.f64 (PI.f64) 60))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15 (PI.f64)) 1)))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (*.f64 z (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (*.f64 (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (*.f64 -1 (/.f64 (neg.f64 z) (sqrt.f64 (*.f64 15 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -15/2) z) 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simplify158.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-50`
1038×	`rational.json-simplify-49`
820×	`rational.json-simplify-61`
794×	`rational.json-simplify-46`
770×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	6801
1	1759	6789
2	5049	6753
3	6549	6753

Stop Event

1×	node limit

Counts

213 → 221

Calls

Call 1

Inputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
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(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 60)) (.f64 2 (.f64 (PI.f64) 60))) 16)
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(pow.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) 1)

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
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(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) 1/2) (*.f64 z 1/2)) (exp.f64 15/2))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 1/2 (.f64 z (.f64 1/2 (exp.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (*.f64 (exp.f64 -15/2) (/.f64 1/2 z))) 1/2)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (sqrt.f64 (.f64 15 (PI.f64)))) (neg.f64 (.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 (neg.f64 (*.f64 z (exp.f64 15/2))) 1))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (/.f64 (exp.f64 -15/2) z)) (/.f64 -1 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (.f64 (.f64 2 (.f64 z -2)) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (.f64 (.f64 2 (neg.f64 (+.f64 z z))) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (.f64 (neg.f64 (.f64 z 4)) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (.f64 4 (/.f64 (neg.f64 z) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (.f64 (exp.f64 -15/2) -2)) (.f64 z (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z) (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z)) (+.f64 (exp.f64 15/2) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 4 (.f64 z (exp.f64 15/2))))) (.f64 2 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 4 (.f64 z (exp.f64 15/2)))))) 16)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 15 (PI.f64)))) (neg.f64 (sqrt.f64 (.f64 15 (PI.f64))))) (+.f64 (neg.f64 (.f64 z (exp.f64 15/2))) (neg.f64 (.f64 z (exp.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) 2) z) (/.f64 2 (exp.f64 -15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) 4)) (.f64 z (exp.f64 15/2))) 8)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 8) (/.f64 z (sqrt.f64 (.f64 15 (PI.f64))))) 8)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64))))) z)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 2) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (+.f64 z z))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 2 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (/.f64 2 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 4) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (*.f64 z 4))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (/.f64 1 z) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64))))) (exp.f64 15/2))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64))))) (neg.f64 z))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (.f64 z (*.f64 (exp.f64 15/2) (exp.f64 15/2)))))
(.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (*.f64 z (exp.f64 15))))))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 1 (exp.f64 15/2)) z)) (.f64 (exp.f64 15) (*.f64 z z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (*.f64 z z)))
(/.f64 (/.f64 -1 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (neg.f64 (.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 z (/.f64 2 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 2 (.f64 z (.f64 z (.f64 (exp.f64 15/2) (exp.f64 15/2))))))
(.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (*.f64 z (exp.f64 15))))))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 1 (exp.f64 15/2)) z)) (.f64 (exp.f64 15) (*.f64 z z)))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (*.f64 z z)))
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (*.f64 (exp.f64 15/2) 4)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 8) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (*.f64 z 8))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) -2) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (*.f64 z -2))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) -2) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (neg.f64 (+.f64 z z)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 2 (/.f64 4 (.f64 z (exp.f64 15/2)))) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64))))) 8)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 2 (.f64 (exp.f64 -15/2) 8)) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 2 (*.f64 z 8)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)) (/.f64 1 (sqrt.f64 (*.f64 15 (PI.f64))))) -1)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 2 (.f64 z -2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (*.f64 2 (neg.f64 (+.f64 z z))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (neg.f64 (*.f64 z 4)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (neg.f64 (.f64 (exp.f64 -15/2) -2)) (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64))))) (+.f64 z z))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 1 (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 (*.f64 z 1/2) (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 2) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) z)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 2 (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 4) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (+.f64 z z))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 z (/.f64 2 (exp.f64 -15/2))) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (.f64 z (*.f64 (exp.f64 15/2) (exp.f64 15/2)))))
(.f64 (/.f64 2 (exp.f64 -15/2)) (/.f64 z (.f64 (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (*.f64 z (exp.f64 15))))))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (*.f64 z z)))
(/.f64 (/.f64 4 (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (/.f64 2 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) -2) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (neg.f64 z))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 z (.f64 (exp.f64 15/2) 4)) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 2 (.f64 z (.f64 z (*.f64 (exp.f64 15/2) (exp.f64 15/2))))))
(/.f64 (.f64 z (.f64 4 (exp.f64 15/2))) (.f64 (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 (*.f64 z (exp.f64 15)) 2))))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 2 (.f64 (exp.f64 15/2) (.f64 z 4))) 2)) (.f64 (exp.f64 15) (.f64 z z)))
(/.f64 (/.f64 (.f64 2 (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (.f64 z (.f64 2 (*.f64 z (exp.f64 15)))))
(/.f64 (/.f64 (.f64 (.f64 z (exp.f64 15/2)) (.f64 (exp.f64 -15/2) (/.f64 2 z))) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64))))) (*.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 (.f64 z (exp.f64 15/2)) (/.f64 2 (sqrt.f64 (.f64 15 (PI.f64)))))) (*.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 z (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 z (exp.f64 15/2)))) (*.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))) (*.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 (exp.f64 -15/2) (/.f64 (neg.f64 z) (sqrt.f64 (*.f64 15 (PI.f64))))) -1)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 2) (/.f64 (neg.f64 z) (sqrt.f64 (.f64 15 (PI.f64))))) -2)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) 4) (/.f64 (neg.f64 z) (sqrt.f64 (.f64 15 (PI.f64))))) -4)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (.f64 4 (neg.f64 (exp.f64 -15/2))) (/.f64 (neg.f64 z) (sqrt.f64 (.f64 15 (PI.f64))))) 4)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 15/2)) z)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) 1/2) (.f64 z (/.f64 2 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (neg.f64 z)) (/.f64 (exp.f64 15/2) -1))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) 2)) (-.f64 0 (*.f64 z (/.f64 2 (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) z)) (-.f64 0 (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))
(pow.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) 1)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z))

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
✓	0.3b	(/.f64 (sqrt.f64 15) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 46 to 33 computations (28.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
0.0ms	z	@	inf	(/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
0.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`exponential.json-3`
1768×	`rational.json-1`
1768×	`rational.json-2`
1768×	`rational.json-4`
1768×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	95
1	110	95
2	281	95
3	1003	87
4	4598	87

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))

(/.f64 (sqrt.f64 15) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))

(/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))) 1106209385320415913103082059/2100000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))) 1106209385320415913103082059/2100000000000000000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))) 1106209385320415913103082059/2100000000000000000000000)) (*.f64 2 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))) 1106209385320415913103082059/2100000000000000000000000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64)))))) 1)))))

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sqrt.f64 15) z)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 1/2 (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 2 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (exp.f64 15/2)) (/.f64 1 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (exp.f64 15/2)) (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 z (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (/.f64 1 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 2 (exp.f64 -15/2))) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64))) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (neg.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 15/2) (neg.f64 z)) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 z (neg.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 z (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 z (exp.f64 15/2)) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64)))) (/.f64 z 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) 2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 z (/.f64 2 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 15/2) 2) (*.f64 z (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 1)))))

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational.json-simplify-43`
1136×	`rational.json-simplify-41`
962×	`rational.json-simplify-35`
932×	`rational.json-simplify-2`
910×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	4200
1	603	4194
2	1491	3858
3	4962	3858
4	7301	3858

Stop Event

1×	node limit

Counts

132 → 125

Calls

Call 1

Inputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
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(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (/.f64 1 (PI.f64))))
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Outputs
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(.f64 (sqrt.f64 15) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 (exp.f64 -15/2) z))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 15))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 1/2 (/.f64 (sqrt.f64 15) z))) (.f64 (sqrt.f64 (PI.f64)) 2))
(.f64 (sqrt.f64 15) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 (exp.f64 -15/2) z))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 15))))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) 2) (*.f64 (sqrt.f64 15) 2))
(.f64 (sqrt.f64 15) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 (exp.f64 -15/2) z))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 15))))
(.f64 (.f64 (exp.f64 -15/2) 1/2) (/.f64 2 (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (exp.f64 -15/2) (.f64 (/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z 2)) 1/2))
(.f64 (exp.f64 -15/2) (.f64 1/2 (/.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 z 2))))
(.f64 (exp.f64 -15/2) (.f64 1/2 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (.f64 z 1/2))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (sqrt.f64 15) (.f64 (exp.f64 -15/2) (/.f64 2 z))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) 1/2) (.f64 (exp.f64 -15/2) (.f64 (/.f64 2 z) (sqrt.f64 15))))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (.f64 (.f64 (sqrt.f64 (PI.f64)) 1/2) (sqrt.f64 15)))
(.f64 1/2 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (sqrt.f64 (.f64 (PI.f64) 15))))
(.f64 1/2 (.f64 (/.f64 2 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 (.f64 1/2 (/.f64 (sqrt.f64 15) z)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 2)))
(.f64 (sqrt.f64 15) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 (exp.f64 -15/2) z))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 15))))
(pow.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 15 (PI.f64))))) 1)
(.f64 (sqrt.f64 15) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 (exp.f64 -15/2) z))
(/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 15))))
(+.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 0)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(-.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 0)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 z (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 15/2)))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 1)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 1 (.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (+.f64 z z) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (PI.f64)) 2)))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (+.f64 z z) (.f64 (/.f64 (exp.f64 15/2) (*.f64 (sqrt.f64 (PI.f64)) 2)) 1))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (+.f64 z z) (.f64 1/2 (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 z (/.f64 2 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1/2)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 z (exp.f64 15/2)) (/.f64 1 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 z (exp.f64 15/2)) (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) 1))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 2 (/.f64 z (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 2))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 2 (/.f64 (.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 2))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 4) 1/4)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 z 4) (/.f64 1 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 4))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 z (/.f64 2 (exp.f64 -15/2))) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) 2)))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64))) z)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 z) (/.f64 1 (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 z) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) (neg.f64 (exp.f64 -15/2)))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 (exp.f64 15/2) (neg.f64 z)) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 -1 (/.f64 z (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 -1 (/.f64 z (.f64 (sqrt.f64 (PI.f64)) (neg.f64 (exp.f64 -15/2)))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 -1 (/.f64 (.f64 z (exp.f64 15/2)) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (.f64 2 (/.f64 (exp.f64 15/2) (sqrt.f64 (PI.f64)))) (/.f64 z 2))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (.f64 z (exp.f64 15/2)))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (PI.f64)) 2)) (+.f64 z z))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 1/2 (.f64 z (/.f64 2 (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (exp.f64 15/2) 2) (.f64 z (/.f64 2 (sqrt.f64 (PI.f64)))))
(.f64 z (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 15/2) 2)))
(.f64 z (.f64 (/.f64 (exp.f64 15/2) 2) (/.f64 2 (sqrt.f64 (PI.f64)))))
(.f64 z (.f64 (/.f64 1/2 (exp.f64 -15/2)) (/.f64 2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (.f64 z 1/2) (exp.f64 -15/2)))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (exp.f64 15/2)) 1)
(*.f64 (exp.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64))))

localize73.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.3b	(/.f64 14256251657054091589637421/25000000000000000000000 z)
✓	1.0b	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 161 to 100 computations (37.9% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))
0.0ms	z	@	-inf	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))
0.0ms	z	@	inf	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))
0.0ms	z	@	0	(/.f64 14256251657054091589637421/25000000000000000000000 z)
0.0ms	z	@	-inf	(/.f64 14256251657054091589637421/25000000000000000000000 z)

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational.json-simplify-35`
898×	`rational.json-simplify-2`
884×	`rational.json-1`
884×	`rational.json-2`
884×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	171	90
2	372	90
3	928	90
4	2527	90
5	7062	90

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs

(*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))

(/.f64 14256251657054091589637421/25000000000000000000000 z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))) 2) (/.f64 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 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6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (exp.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (exp.f64 (neg.f64 z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 2 (exp.f64 15/2)) (exp.f64 z)) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 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simplify227.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1044×	`rational.json-simplify-51`
954×	`rational.json-simplify-50`
906×	`rational.json-simplify-35`
672×	`rational.json-simplify-1`
588×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	348	9240
1	1147	8988
2	3702	8798
3	4800	8742
4	6732	8738
5	7706	8738

Stop Event

1×	node limit

Counts

108 → 157

Calls

Call 1

Inputs
(.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/50000000000000000000000 (exp.f64 -15/2)))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 6418621569060470797/30000000000000000 (exp.f64 -15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64)))))
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(.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
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(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))) (exp.f64 z)))) (.f64 2 (.f64 2 (exp.f64 15/2))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))))
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(+.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 0)
(+.f64 0 (/.f64 14256251657054091589637421/25000000000000000000000 z))
(+.f64 -1 (-.f64 1 (/.f64 -14256251657054091589637421/25000000000000000000000 z)))
(+.f64 (/.f64 14256251657054091589637421/25000000000000000000000 (+.f64 z z)) (/.f64 14256251657054091589637421/25000000000000000000000 (+.f64 z z)))
(+.f64 (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2) (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2))
(-.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 0)
(-.f64 0 (/.f64 -14256251657054091589637421/25000000000000000000000 z))
(*.f64 2 (/.f64 14256251657054091589637421/25000000000000000000000 (+.f64 z z)))
(*.f64 2 (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2))
(.f64 1/2 (.f64 2 (/.f64 14256251657054091589637421/25000000000000000000000 z)))
(*.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 1)
(*.f64 1 (/.f64 14256251657054091589637421/25000000000000000000000 z))
(.f64 (.f64 2 (/.f64 14256251657054091589637421/25000000000000000000000 z)) 1/2)
(*.f64 (/.f64 -14256251657054091589637421/25000000000000000000000 z) -1)
(*.f64 (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2) 2)
(pow.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 1)
(neg.f64 (/.f64 -14256251657054091589637421/25000000000000000000000 z))

Outputs
(.f64 14256251657054091589637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 14256251657054091589637421/25000000000000000000000))
(.f64 14256251657054091589637421/25000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 14256251657054091589637421/25000000000000000000000 (sqrt.f64 (PI.f64))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 2 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))) (exp.f64 15/2))) (neg.f64 (*.f64 2 (exp.f64 (neg.f64 z)))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 2 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))) (/.f64 (*.f64 2 (exp.f64 15/2)) (exp.f64 z)))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))) (exp.f64 z)))) (neg.f64 (.f64 2 (exp.f64 15/2))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (exp.f64 15/2))))) (neg.f64 (*.f64 2 (exp.f64 (neg.f64 z)))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (exp.f64 15/2))) (exp.f64 -1))) (neg.f64 (exp.f64 (-.f64 1 z))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))) (exp.f64 z)))) (exp.f64 15/2))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (exp.f64 15/2))))) (exp.f64 (neg.f64 z)))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(pow.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))) 1)
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (exp.f64 z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 15/2) (*.f64 (exp.f64 z) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z))))))
(+.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 0)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(+.f64 0 (/.f64 14256251657054091589637421/25000000000000000000000 z))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(+.f64 -1 (-.f64 1 (/.f64 -14256251657054091589637421/25000000000000000000000 z)))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(+.f64 (/.f64 14256251657054091589637421/25000000000000000000000 (+.f64 z z)) (/.f64 14256251657054091589637421/25000000000000000000000 (+.f64 z z)))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(+.f64 (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2) (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(-.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 0)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(-.f64 0 (/.f64 -14256251657054091589637421/25000000000000000000000 z))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(*.f64 2 (/.f64 14256251657054091589637421/25000000000000000000000 (+.f64 z z)))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(*.f64 2 (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(.f64 1/2 (.f64 2 (/.f64 14256251657054091589637421/25000000000000000000000 z)))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(*.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 1)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(*.f64 1 (/.f64 14256251657054091589637421/25000000000000000000000 z))
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(.f64 (.f64 2 (/.f64 14256251657054091589637421/25000000000000000000000 z)) 1/2)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(*.f64 (/.f64 -14256251657054091589637421/25000000000000000000000 z) -1)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(*.f64 (/.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 2) 2)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(pow.f64 (/.f64 14256251657054091589637421/25000000000000000000000 z) 1)
(/.f64 14256251657054091589637421/25000000000000000000000 z)
(neg.f64 (/.f64 -14256251657054091589637421/25000000000000000000000 z))
(/.f64 14256251657054091589637421/25000000000000000000000 z)

localize176.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 z 53758197989915921/720000000000000)
✓	1.0b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 506 to 353 computations (30.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms	z	@	-inf	(*.f64 z 53758197989915921/720000000000000)
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))
0.0ms	z	@	inf	(*.f64 z 53758197989915921/720000000000000)
0.0ms	z	@	0	(*.f64 z 53758197989915921/720000000000000)

rewrite90.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational.json-simplify-35`
1206×	`exponential.json-3`
1206×	`rational.json-1`
1206×	`rational.json-2`
1206×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	154
1	308	154
2	705	154
3	1936	154
4	4462	154

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))

(*.f64 z 53758197989915921/720000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 53758197989915921/720000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z 53758197989915921/720000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z 53758197989915921/720000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 53758197989915921/720000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 53758197989915921/360000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z 53758197989915921/360000000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 z 53758197989915921/360000000000000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 z 53758197989915921/360000000000000))) (*.f64 2 (*.f64 2 (*.f64 z 53758197989915921/360000000000000)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 53758197989915921/720000000000000) 1)))))

simplify214.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational.json-simplify-35`
1270×	`rational.json-simplify-46`
1152×	`rational.json-simplify-1`
1130×	`rational.json-simplify-2`
872×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	2364
1	251	2364
2	530	2364
3	1434	2364
4	2774	2364
5	3996	2364
6	4510	2364
7	4837	2364
8	5336	2364
9	6265	2364
10	7343	2364

Stop Event

1×	node limit

Counts

46 → 49

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(*.f64 53758197989915921/720000000000000 z)
(+.f64 6418621569060470797/30000000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (.f64 53758197989915921/720000000000000 z)))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (.f64 53758197989915921/720000000000000 z) (*.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 53758197989915921/720000000000000 z)
(+.f64 6418621569060470797/30000000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (.f64 53758197989915921/720000000000000 z)))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (.f64 53758197989915921/720000000000000 z) (*.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
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(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
(*.f64 53758197989915921/720000000000000 z)
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(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 1)
(/.f64 (.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))) 2)
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(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 1)
(+.f64 (*.f64 z 53758197989915921/720000000000000) 0)
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(-.f64 (*.f64 z 53758197989915921/720000000000000) 0)
(/.f64 (*.f64 z 53758197989915921/720000000000000) 1)
(/.f64 (*.f64 z 53758197989915921/360000000000000) 2)
(/.f64 (.f64 2 (.f64 z 53758197989915921/360000000000000)) 4)
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(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 z 53758197989915921/360000000000000))) (.f64 2 (.f64 2 (.f64 z 53758197989915921/360000000000000)))) 16)
(pow.f64 (*.f64 z 53758197989915921/720000000000000) 1)

Outputs
1106209385320415913103082059/4200000000000000000000000
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(*.f64 z 53758197989915921/720000000000000)
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(*.f64 z 53758197989915921/720000000000000)
(-.f64 (*.f64 z 53758197989915921/720000000000000) 0)
(*.f64 z 53758197989915921/720000000000000)
(/.f64 (*.f64 z 53758197989915921/720000000000000) 1)
(*.f64 z 53758197989915921/720000000000000)
(/.f64 (*.f64 z 53758197989915921/360000000000000) 2)
(*.f64 z 53758197989915921/720000000000000)
(/.f64 (.f64 2 (.f64 z 53758197989915921/360000000000000)) 4)
(*.f64 z 53758197989915921/720000000000000)
(/.f64 (.f64 2 (.f64 2 (*.f64 z 53758197989915921/360000000000000))) 8)
(*.f64 z 53758197989915921/720000000000000)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 z 53758197989915921/360000000000000))) (.f64 2 (.f64 2 (.f64 z 53758197989915921/360000000000000)))) 16)
(*.f64 z 53758197989915921/720000000000000)
(pow.f64 (*.f64 z 53758197989915921/720000000000000) 1)
(*.f64 z 53758197989915921/720000000000000)

eval2.1s (1.4%)

Compiler: Compiled 64280 to 46047 computations (28.4% saved)

prune388.0ms (0.3%)

Pruning

68 alts after pruning (59 fresh and 9 done)

	Pruned	Kept	Total
New	1107	25	1132
Fresh	11	34	45
Picked	1	0	1
Done	0	9	9
Total	1119	68	1187

Error

Counts

1187 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
	3.0b	(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
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	3.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
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	2.5b	(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
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	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 1 z) 2513416904506957311/12500000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
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✓	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
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Compiler

Compiled 3079 to 2387 computations (22.5% saved)

regimes204.0ms (0.1%)

Counts

104 → 1

Calls

Call 1

Inputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (+.f64 (neg.f64 z) 3)) (.f64 (+.f64 (neg.f64 z) 4) -50000000000000000000000000/6811365493350374017225292011293))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))

Outputs

(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (*.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

Calls

2 calls:

46.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

40.0ms

Results

Error	Segments	Branch
0.5b	1	`z`
0.5b	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 5228 to 3696 computations (29.3% saved)

regimes202.0ms (0.1%)

Counts

103 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
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(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) (.f64 (-.f64 1 z) (.f64 (-.f64 2 z) -25000000000000000000000000/21295833160343550136109053437957)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000)) (.f64 (/.f64 (-.f64 z 2) 3147848041806007/2500000000000) (/.f64 (+.f64 z -1) -6765203681218851/10000000000000)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 2 (neg.f64 z)) -2500000000000/3147848041806007) (.f64 (-.f64 1 z) 10000000000000/6765203681218851)) (-.f64 1 z)) (*.f64 (+.f64 2 (neg.f64 z)) -25000000000000000000000000/21295833160343550136109053437957))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 6) -25000000000000000/3464277381643003) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)) -25000000000000000/3464277381643003) (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (+.f64 (neg.f64 z) 3)) (.f64 (+.f64 (neg.f64 z) 4) -50000000000000000000000000/6811365493350374017225292011293))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (*.f64 (-.f64 1 z) 10000000000000/6765203681218851))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Calls

2 calls:

48.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

39.0ms

Results

Error	Segments	Branch
0.5b	1	`z`
0.5b	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 5127 to 3623 computations (29.3% saved)

regimes105.0ms (0.1%)

Counts

84 → 1

Calls

Call 1

Inputs
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(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 1 (/.f64 (+.f64 z -2) 3147848041806007/2500000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 3198 to 2214 computations (30.8% saved)

regimes89.0ms (0.1%)

Counts

77 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (+.f64 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 15/2 (-.f64 1 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 2605 to 1811 computations (30.5% saved)

regimes82.0ms (0.1%)

Counts

75 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (+.f64 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 2439 to 1697 computations (30.4% saved)

regimes76.0ms (0.1%)

Counts

70 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 6418621569060470797/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 z 105354220713934536262117317613/235200000000000000000000000))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 1 z) 2513416904506957311/12500000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 22877660562801769241/75000000000000000 (*.f64 134230295382513208999/300000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 38562707161501011997/150000000000000000 (.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 2049 to 1434 computations (30% saved)

regimes71.0ms (0%)

Counts

69 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 6418621569060470797/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 z 105354220713934536262117317613/235200000000000000000000000))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 1 z) 2513416904506957311/12500000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 22877660562801769241/75000000000000000 (*.f64 134230295382513208999/300000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 38562707161501011997/150000000000000000 (.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (*.f64 z 25709626200127888999/300000000000000000) (+.f64 19356353580750491741/75000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
2.0b	1	`z`

Compiler

Compiled 1973 to 1382 computations (30% saved)

regimes58.0ms (0%)

Counts

62 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 6418621569060470797/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 z 105354220713934536262117317613/235200000000000000000000000))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (-.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 1 z) 2513416904506957311/12500000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 22877660562801769241/75000000000000000 (*.f64 134230295382513208999/300000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (.f64 z 53758197989915921/720000000000000)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
2.0b	1	`z`

Compiler

Compiled 1463 to 1040 computations (28.9% saved)

regimes47.0ms (0%)

Counts

56 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 6418621569060470797/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 z 105354220713934536262117317613/235200000000000000000000000))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (/.f64 (exp.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Outputs

(/.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
2.1b	1	`z`

Compiler

Compiled 1085 to 794 computations (26.8% saved)

regimes42.0ms (0%)

Counts

53 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 6418621569060470797/30000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 6418621569060470797/30000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1291655165940663543103082059/4200000000000000000000000 (*.f64 z 105354220713934536262117317613/235200000000000000000000000))))))

Outputs
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
2.2b	1	`z`

Compiler

Compiled 934 to 697 computations (25.4% saved)

regimes34.0ms (0%)

Counts

45 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 15))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) z)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15)) (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15) (.f64 (/.f64 1 z) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (/.f64 (exp.f64 -15/2) (/.f64 1 (sqrt.f64 15)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 15)) (/.f64 1 (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z)) (/.f64 1 (/.f64 1 (sqrt.f64 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 15/2) (/.f64 z (.f64 (/.f64 1 (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 z (.f64 z (exp.f64 15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) (/.f64 (/.f64 2 z) (/.f64 2 (exp.f64 -15/2)))) (.f64 (exp.f64 15) (.f64 z z))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (/.f64 14256251657054091589637421/25000000000000000000000 z)))))
(.f64 (/.f64 1 z) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 6418621569060470797/30000000000000000 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 1441579419498879551/4687500000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
2.2b	1	`z`

Compiler

Compiled 684 to 542 computations (20.8% saved)

regimes19.0ms (0%)

Counts

24 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.3b	1	`z`

Compiler

Compiled 313 to 263 computations (16% saved)

regimes18.0ms (0%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.4b	1	`z`

Compiler

Compiled 301 to 254 computations (15.6% saved)

regimes17.0ms (0%)

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))) z) (exp.f64 15/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 1 z) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 1 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 15 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 2 (/.f64 z (sqrt.f64 (.f64 15 (PI.f64)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 2 z) (/.f64 (exp.f64 -15/2) (/.f64 2 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 2 (/.f64 (+.f64 z z) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (/.f64 2 z)) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (/.f64 1/2 z)) (/.f64 1/2 (exp.f64 -15/2))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 1/2 z))) (/.f64 (exp.f64 15/2) 2))
(/.f64 (/.f64 4 (.f64 z (exp.f64 15/2))) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (+.f64 -1 (-.f64 1 (/.f64 (exp.f64 -15/2) (neg.f64 z))))))

Outputs
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.5b	1	`z`

Compiler

Compiled 289 to 244 computations (15.6% saved)

regimes8.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))

Outputs
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
2.5b	1	`z`

Compiler

Compiled 80 to 66 computations (17.5% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (exp.f64 15/2)) z))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes5.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))

(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 15)))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 25 to 21 computations (16% saved)

simplify24.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	2524

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (.f64 (-.f64 1 z) 10000000000000/6765203681218851))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (+.f64 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 38562707161501011997/150000000000000000 (.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))

Outputs
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2 (/.f64 (.f64 (-.f64 2 z) -5000000000000/3147848041806007) (/.f64 6765203681218851/10000000000000 (/.f64 (-.f64 1 z) (+.f64 (.f64 (-.f64 1 z) 10000000000000/6765203681218851) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 -1)) (exp.f64 (+.f64 (-.f64 1 z) 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (/.f64 1 (.f64 (-.f64 1 z) 10000000000000/6765203681218851))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 12777243138120953/60000000000000 (+.f64 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 38562707161501011997/150000000000000000 (*.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 38562707161501011997/150000000000000000 (.f64 z 25709626200127888999/300000000000000000))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (+.f64 (*.f64 134380383501857451859/300000000000000000 z) 1441579419498879551/4687500000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))
(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 1441579419498879551/4687500000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))
(.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 15) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 -15/2) z))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 z (exp.f64 -15/2)))
(.f64 (/.f64 (exp.f64 -15/2) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (/.f64 z (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))

Compiler

Compiled 806 to 625 computations (22.5% saved)

soundness127.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1792×	`rational.json-simplify-35`
1306×	`rational.json-simplify-41`
1124×	`rational.json-simplify-2`
734×	`rational.json-simplify-46`
730×	`rational.json-simplify-43`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	140	277
2	295	273
3	668	269
4	2002	265
5	2966	257
6	4986	253
7	7715	253

Stop Event

1×	node limit

Compiler

Compiled 247 to 215 computations (13% saved)

end200.0ms (0.1%)

Results

Compiler

Compiled 789 to 559 computations (29.2% saved)