Details

analyze742.0ms (0.5%)

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)

sample1.8min (71%)

Results

1.7min	3913×	body	8192	exit
6.8s	8256×	body	256	valid
92.0ms	85×	body	256	unsamplable
50.0ms	103×	body	256	infinite

Bogosity

preprocess197.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1758×	`rational.json-simplify-35`
1300×	`rational.json-simplify-41`
1218×	`rational.json-simplify-2`
882×	`rational.json-simplify-43`
834×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	137	277
2	286	273
3	650	269
4	1911	265
5	2427	257
6	4611	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 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.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)) (.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 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.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 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify63.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1758×	`rational.json-simplify-35`
1300×	`rational.json-simplify-41`
1218×	`rational.json-simplify-2`
882×	`rational.json-simplify-43`
834×	`rational.json-simplify-53`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	137	277
2	286	273
3	650	269
4	1911	265
5	2427	257
6	4611	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 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.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)) (.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 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.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 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))

eval10.0ms (0%)

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

prune58.0ms (0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	1	7	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	8	9

Error

0.3b

Counts

9 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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)))))))
	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)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 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)))))
▶	0.4b	(.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	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)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
▶	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))

Compiler

Compiled 1298 to 1026 computations (21% saved)

localize214.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 537 to 395 computations (26.4% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`bool.json-1`
1554×	`bool.json-2`
1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	130
1	304	130
2	825	130
3	1934	130
4	4488	130

Stop Event

1×	node limit

Counts

4 → 51

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 4) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 2 z) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) -2500000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (+.f64 z -3) -10000000000000/7713234287776531)) (.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (+.f64 z -3) -10000000000000/7713234287776531)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 z -3) -10000000000000/7713234287776531) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (.f64 (+.f64 z -3) -10000000000000/7713234287776531) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))) (+.f64 (.f64 (-.f64 2 z) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) -2500000000000/3147848041806007)) (.f64 (-.f64 2 z) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) -2500000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 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((#(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 7713234287776531/10000000000000 (-.f64 3 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(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 1/2 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))

simplify170.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1872×	`rational.json-simplify-35`
1220×	`rational.json-simplify-50`
876×	`rational.json-simplify-1`
866×	`rational.json-simplify-46`
752×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	214	3009
1	469	2973
2	1038	2973
3	2805	2973
4	5544	2973
5	6214	2973
6	7179	2973

Stop Event

1×	node limit

Counts

87 → 118

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
9226801140269157727/30000000000000000
(+.f64 9226801140269157727/30000000000000000 (*.f64 20157230739147699929/45000000000000000 z))
(+.f64 (.f64 369762002444465943037/675000000000000000 (pow.f64 z 2)) (+.f64 9226801140269157727/30000000000000000 (.f64 20157230739147699929/45000000000000000 z)))
(+.f64 (.f64 369762002444465943037/675000000000000000 (pow.f64 z 2)) (+.f64 9226801140269157727/30000000000000000 (+.f64 (.f64 3074793869605131240493/5062500000000000000 (pow.f64 z 3)) (*.f64 20157230739147699929/45000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 40242384691164461/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 40242384691164461/200000000000000 (/.f64 1 z)) (.f64 21389957496138933/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 40242384691164461/200000000000000 (/.f64 1 z)) (+.f64 (.f64 115782317687932977/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 21389957496138933/40000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 40242384691164461/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 40242384691164461/200000000000000 (/.f64 1 z)) (.f64 21389957496138933/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 40242384691164461/200000000000000 (/.f64 1 z)) (+.f64 (.f64 115782317687932977/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 21389957496138933/40000000000000 (/.f64 1 (pow.f64 z 2))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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(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 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
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(-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(.f64 2 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 2))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)
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(.f64 (.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) 1/2)
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 2))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 4) 4)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 4) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 4)) 8)
(-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0)
(*.f64 2 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(.f64 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(*.f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) 2)
(/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(/.f64 (*.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(/.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 2 z) (.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -2500000000000/3147848041806007)))
(/.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4) 4)
(/.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (+.f64 z -3) -10000000000000/7713234287776531)) (.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (*.f64 (+.f64 z -3) -10000000000000/7713234287776531)))
(/.f64 (+.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)))
(/.f64 (+.f64 (.f64 (+.f64 z -3) -10000000000000/7713234287776531) (.f64 (+.f64 z -2) 2500000000000/3147848041806007)) (.f64 (.f64 (+.f64 z -3) -10000000000000/7713234287776531) (*.f64 (+.f64 z -2) 2500000000000/3147848041806007)))
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))) (+.f64 (.f64 (-.f64 2 z) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) -2500000000000/3147848041806007)) (.f64 (-.f64 2 z) (.f64 (.f64 (-.f64 3 z) 10000000000000/7713234287776531) -2500000000000/3147848041806007))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 4)) 8)
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 2 z) -2500000000000/3147848041806007) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (-.f64 2 z) -2500000000000/3147848041806007))
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 0)
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(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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(/.f64 (*.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 2)
(/.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 4) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 4)) 8)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(+.f64 0 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(*.f64 2 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(.f64 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/2)
(.f64 1/2 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) 2)

Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (.f64 -5154349522119383/22500000000000 z) (-.f64 (.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) 11173853963059511/30000000000000))
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))) 11173853963059511/30000000000000)
(+.f64 (.f64 -5154349522119383/22500000000000 z) (-.f64 (+.f64 (.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) 11173853963059511/30000000000000))
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(/.f64 4878157879447497/10000000000000 z)
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9226801140269157727/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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(+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -7713234287776531/10000000000000 (-.f64 z 3))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 4) 4)
(+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -7713234287776531/10000000000000 (-.f64 z 3))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 4) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 4)) 8)
(+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -7713234287776531/10000000000000 (-.f64 z 3))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(+.f64 0 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(*.f64 2 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(.f64 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/2)
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(.f64 1/2 (.f64 2 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) 2)
(/.f64 -7713234287776531/10000000000000 (-.f64 z 3))

localize474.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
✓	3.2b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

Compiler

Compiled 514 to 361 computations (29.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`bool.json-1`
1776×	`bool.json-2`
1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	195
1	331	195
2	914	195
3	2228	195
4	5271	195

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))

Inputs

(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

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

(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))

Outputs
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 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2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 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simplify523.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4110×	`rational.json-simplify-41`
1748×	`rational.json-simplify-35`
1500×	`rational.json-simplify-49`
1100×	`rational.json-simplify-2`
906×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2817
1	318	2817
2	624	2817
3	1240	2817
4	2096	2817
5	2843	2817
6	3228	2817
7	3356	2817
8	3471	2817
9	3574	2817
10	3673	2817
11	3772	2817
12	3883	2817
13	3982	2817
14	4081	2817
15	4180	2817
16	4279	2817
17	4279	2817

Stop Event

1×	node limit

Counts

63 → 100

Calls

Call 1

Inputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2))))
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 764331858712410001/1280000000000000 (pow.f64 z 3)) (*.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
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))))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 0)
(*.f64 2 (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 2))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
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(/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
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Outputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
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7902188421553103227/30000000000000000
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localize414.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
✓	3.2b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

Compiler

Compiled 539 to 369 computations (31.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`bool.json-1`
1808×	`bool.json-2`
1652×	`rational.json-1`
1652×	`rational.json-2`
1652×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	199
1	335	199
2	932	199
3	2258	199
4	5365	199

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

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

(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 4) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 4) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))))

simplify496.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3776×	`rational.json-simplify-41`
2002×	`rational.json-simplify-2`
1726×	`rational.json-simplify-35`
1502×	`rational.json-simplify-49`
880×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2853
1	317	2853
2	617	2853
3	1211	2853
4	2042	2853
5	2780	2853
6	3166	2853
7	3290	2853
8	3401	2853
9	3500	2853
10	3595	2853
11	3690	2853
12	3797	2853
13	3892	2853
14	3987	2853
15	4082	2853
16	4177	2853
17	4177	2853
18	7066	2853
19	8000	2853

Stop Event

1×	node limit

Counts

63 → 104

Calls

Call 1

Inputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2))))
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 764331858712410001/1280000000000000 (pow.f64 z 3)) (*.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
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Outputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
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479507597606835099/10000000000000000
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(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 (*.f64 2 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) 2)
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 4) 4)
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 4) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 4)) 8)
(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))

localize1.0s (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 577 to 400 computations (30.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 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	@	0	(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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))))
1.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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))))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`bool.json-1`
1524×	`bool.json-2`
1372×	`rational.json-1`
1372×	`rational.json-2`
1372×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	249
1	572	245
2	1506	245
3	3901	245

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

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

(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))

(+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 2 (exp.f64 (+.f64 (neg.f64 z) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 2 (*.f64 2 (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 z))) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 15/2)) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (neg.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) (*.f64 2 (*.f64 2 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (/.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 z)))) (*.f64 2 (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 15/2)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 15/2))) (*.f64 2 (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) (+.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (neg.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))))

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simplify197.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational.json-simplify-35`
1214×	`rational.json-simplify-1`
954×	`rational.json-simplify-43`
896×	`rational.json-simplify-61`
838×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	3796
1	508	3760
2	1098	3728
3	2955	3690
4	6401	3690
5	7607	3690

Stop Event

1×	node limit

Counts

74 → 114

Calls

Call 1

Inputs
(.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 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
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Outputs
(.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z)) (.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) z) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
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localize183.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
✓	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))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 494 to 327 computations (33.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

rewrite153.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`bool.json-1`
1348×	`bool.json-2`
1200×	`rational.json-1`
1200×	`rational.json-2`
1200×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	261
1	484	253
2	1317	253
3	3474	245

Stop Event

1×	node limit

Counts

3 → 26

Calls

Call 1

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

Outputs

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simplify636.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-35`
1164×	`rational.json-simplify-38`
1012×	`rational.json-simplify-1`
974×	`rational.json-simplify-51`
880×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	3116
1	422	3116
2	903	3116
3	2189	3116
4	3345	3116
5	5361	3116
6	5614	3116
7	5809	3116
8	5918	3116
9	6475	3116

Stop Event

1×	node limit

Counts

62 → 102

Calls

Call 1

Inputs
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))))))
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)
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(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))))))
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1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
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9999999999998099/10000000000000000
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(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(/.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 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (.f64 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) 8)
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 0)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) 1)
(/.f64 (*.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) 2)
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (.f64 (+.f64 (neg.f64 z) 4) (.f64 -5000000000000/883075145810703 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))))
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (.f64 (.f64 (+.f64 (neg.f64 z) 4) (.f64 -5000000000000/883075145810703 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) 1))
(/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) 4)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703))) (+.f64 (.f64 (+.f64 (neg.f64 z) 4) (.f64 -5000000000000/883075145810703 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (.f64 (+.f64 (neg.f64 z) 4) (.f64 -5000000000000/883075145810703 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) 8)
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.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 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (.f64 (+.f64 (neg.f64 z) 4) -5000000000000/883075145810703)) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))
(-.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) 0)
(*.f64 1 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) 1)
(/.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) 1)
(/.f64 (*.f64 2 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (.f64 2 (.f64 2 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))) 8)

Outputs
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 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.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 904338909853211/2500000000000 z) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 (.f64 904338909853211/2500000000000 z) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))) (+.f64 479507597606835099/10000000000000000 (*.f64 23912966683069397/40000000000000 (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 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 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 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.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 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))))))
(+.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))))))
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 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))

eval3.9s (2.6%)

Compiler: Compiled 48894 to 33708 computations (31.1% saved)

prune196.0ms (0.1%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	569	25	594
Fresh	1	1	2
Picked	1	0	1
Done	3	1	4
Total	574	27	601

Error

0.0b

Counts

601 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 z -5154349522119383/22500000000000) 11173853963059511/30000000000000)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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)))))))
	2.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -11173853963059511/30000000000000) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.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)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))
	3.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) 1106209385320415913103082059/4200000000000000000000000)))
	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)))))
	1.4b	(.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (.f64 369762002444465943037/675000000000000000 (pow.f64 z 2)) (+.f64 9226801140269157727/30000000000000000 (.f64 20157230739147699929/45000000000000000 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))
	1.5b	(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	1.4b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶	1.4b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	2.7b	(.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	1.6b	(.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	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)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	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)) (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 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	3.1b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
✓	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 z 1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
▶	0.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
▶	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
▶	2.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))

Compiler

Compiled 3713 to 2781 computations (25.1% saved)

localize358.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
✓	0.9b	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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)))))))
	1.0b	(.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))

Compiler

Compiled 636 to 439 computations (31% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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)))))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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)))))))
0.0ms	z	@	-inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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)))))))
0.0ms	z	@	0	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`bool.json-1`
1436×	`bool.json-2`
1288×	`rational.json-1`
1288×	`rational.json-2`
1288×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	212
1	484	212
2	1314	212
3	3533	212

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs

(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 (*.f64 2 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 2 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 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simplify359.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2068×	`rational.json-simplify-51`
1770×	`rational.json-simplify-35`
1142×	`rational.json-simplify-1`
1060×	`rational.json-simplify-2`
950×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2570
1	337	2570
2	712	2570
3	1857	2570
4	3241	2570
5	5052	2570
6	5418	2570
7	5562	2570
8	5693	2570
9	6189	2570
10	7392	2570

Stop Event

1×	node limit

Counts

44 → 67

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
778827834744865243/3000000000000000
(+.f64 778827834744865243/3000000000000000 (*.f64 3879130361789901929/45000000000000000 z))
(+.f64 778827834744865243/3000000000000000 (+.f64 (.f64 3879130361789901929/45000000000000000 z) (.f64 19350625373146236787/675000000000000000 (pow.f64 z 2))))
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(/.f64 -156766154411268001/200000000000000 z)
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(/.f64 -156766154411268001/200000000000000 z)
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(/.f64 (.f64 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 (+.f64 (.f64 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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))))))))))) 8)
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 0)
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(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (*.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)))
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(/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 4)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))) (+.f64 (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))))
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(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))
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Outputs
1106209385320415913103082059/4200000000000000000000000
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778827834744865243/3000000000000000
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(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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 2 (.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.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))))))))))) 8)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.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 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 0)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (*.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (*.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (*.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) 4)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))) (+.f64 (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (+.f64 (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 2 (.f64 2 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) 8)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

localize128.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
✓	0.9b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 152 to 87 computations (42.8% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
2.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
2.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
2.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`bool.json-1`
1662×	`bool.json-2`
1618×	`rational.json-1`
1618×	`rational.json-2`
1618×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	173
1	256	165
2	665	165
3	1576	165
4	4519	165

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

(*.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 15/2) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.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 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 2) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 4) (*.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 4) (*.f64 4 (/.f64 (exp.f64 15/2) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z)) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2)) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (*.f64 1/2 (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 4) (/.f64 1 (*.f64 (sin.f64 (*.f64 z (PI.f64))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (PI.f64)) (/.f64 2 (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (PI.f64) (*.f64 (sin.f64 (*.f64 z (PI.f64))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))))

simplify214.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-51`
1002×	`rational.json-simplify-35`
974×	`rational.json-simplify-2`
908×	`rational.json-simplify-41`
860×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	6612
1	788	6274
2	1838	6030
3	5479	5842

Stop Event

1×	node limit

Counts

98 → 149

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.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)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(.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))))
(.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))))
(.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))))
(.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))))
(.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 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
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(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(+.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 0)
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(-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 0)
(/.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.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 (exp.f64 z) (exp.f64 15/2))) 1)
(/.f64 2 (+.f64 (/.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 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))
(/.f64 1 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))
(/.f64 1 (*.f64 (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 1))
(/.f64 1 (/.f64 (exp.f64 15/2) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z))))
(/.f64 1 (/.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2))))
(/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))) 2)
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 2) (.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)) 4) (.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) 4))
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 4) (.f64 4 (/.f64 (exp.f64 15/2) (exp.f64 z))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 4) 4)
(/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2)) (exp.f64 (neg.f64 z)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (*.f64 (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))) 1))
(/.f64 (exp.f64 z) (/.f64 1 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 4) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 4)) 8)
(/.f64 (+.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z))) (*.f64 2 (exp.f64 15/2)))
(/.f64 (+.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2))) (*.f64 2 (exp.f64 (neg.f64 z))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) (neg.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))) (+.f64 (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))))
(/.f64 (/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 2) (exp.f64 15/2)) (.f64 2 (exp.f64 (neg.f64 z))))
(/.f64 (/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 2) (exp.f64 (neg.f64 z))) (.f64 2 (exp.f64 15/2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 4) (/.f64 (exp.f64 15/2) (exp.f64 z))) 4)
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2)) (exp.f64 -1)) (exp.f64 (-.f64 1 z)))
(/.f64 (neg.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) 2)) (-.f64 0 (.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z))) (-.f64 0 (exp.f64 15/2)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2))) (-.f64 0 (exp.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))) (/.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 0)
(+.f64 0 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))))
(-.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 0)
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 1)
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1106209385320415913103082059/2100000000000000000000000)) 2)
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (*.f64 z (PI.f64)))))))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 4) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 4)) 8)
(+.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(-.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(.f64 1/2 (.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 z (PI.f64)))))
(.f64 2 (.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 2 (.f64 (.f64 1/2 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) 1))
(.f64 (.f64 (PI.f64) 2) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (PI.f64) 2) (.f64 (/.f64 1/2 (sin.f64 (.f64 z (PI.f64)))) 1))
(.f64 (.f64 (PI.f64) 2) (.f64 1/2 (/.f64 1 (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1)
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 -1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) (neg.f64 z)))))
(.f64 (.f64 (PI.f64) 4) (/.f64 1 (.f64 (sin.f64 (.f64 z (PI.f64))) 4)))
(.f64 (/.f64 1 (sin.f64 (.f64 z (PI.f64)))) (PI.f64))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (sin.f64 (.f64 (PI.f64) (neg.f64 z)))))
(.f64 (.f64 1/2 (PI.f64)) (/.f64 2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 4 (/.f64 (PI.f64) (.f64 (sin.f64 (*.f64 z (PI.f64))) 4)))
(.f64 (.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))) 1/2)
(.f64 (.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)
(.f64 (/.f64 1/2 (sin.f64 (.f64 z (PI.f64)))) (*.f64 (PI.f64) 2))

Outputs
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(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 z))) (-.f64 0 (exp.f64 15/2)))
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 -15/2))) (-.f64 0 (exp.f64 (neg.f64 z))))
(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (exp.f64 z) (exp.f64 15/2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))) (/.f64 (exp.f64 15/2) (exp.f64 z)))
(*.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 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 0)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(+.f64 0 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(-.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 0)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1106209385320415913103082059/2100000000000000000000000)) 2)
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1106209385320415913103082059/2100000000000000000000000) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) 2))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1106209385320415913103082059/2100000000000000000000000) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))) 2)))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 (PI.f64) 2))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (*.f64 z (PI.f64)))))))) 4) 4)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 4) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (.f64 (PI.f64) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))))))) 4)) 8)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(+.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(+.f64 0 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(-.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 0)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1/2 (.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 1/2 (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 z (PI.f64)))))
(.f64 2 (.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 2 (.f64 (.f64 1/2 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (.f64 (PI.f64) 2) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 2 (PI.f64)) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))
(.f64 (PI.f64) (.f64 2 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 2 (.f64 (PI.f64) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (.f64 (PI.f64) 2) (.f64 (/.f64 1/2 (sin.f64 (.f64 z (PI.f64)))) 1))
(.f64 (.f64 2 (PI.f64)) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))
(.f64 (PI.f64) (.f64 2 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 2 (.f64 (PI.f64) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (.f64 (PI.f64) 2) (.f64 1/2 (/.f64 1 (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 -1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) (neg.f64 z)))))
(neg.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (neg.f64 (PI.f64))))))
(.f64 (.f64 (PI.f64) 4) (/.f64 1 (.f64 (sin.f64 (.f64 z (PI.f64))) 4)))
(.f64 (PI.f64) (.f64 4 (/.f64 1/4 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (.f64 (PI.f64) 4) (/.f64 1/4 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (/.f64 1 (sin.f64 (.f64 z (PI.f64)))) (PI.f64))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 z (PI.f64)))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (sin.f64 (.f64 (PI.f64) (neg.f64 z)))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (sin.f64 (.f64 z (neg.f64 (PI.f64))))))
(.f64 (.f64 1/2 (PI.f64)) (/.f64 2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 1/2 (.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 1/2 (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 4 (/.f64 (PI.f64) (.f64 (sin.f64 (*.f64 z (PI.f64))) 4)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))) 1/2)
(.f64 1/2 (.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 1/2 (/.f64 2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1/2 (sin.f64 (.f64 z (PI.f64)))) (*.f64 (PI.f64) 2))
(.f64 (.f64 2 (PI.f64)) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)))
(.f64 (PI.f64) (.f64 2 (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))
(.f64 2 (.f64 (PI.f64) (/.f64 1/2 (sin.f64 (*.f64 z (PI.f64))))))

localize240.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))
✓	0.9b	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))
	0.9b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 305 to 191 computations (37.4% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))
1.0ms	z	@	-inf	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))
1.0ms	z	@	inf	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))
0.0ms	z	@	0	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))
0.0ms	z	@	inf	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`bool.json-1`
1042×	`bool.json-2`
964×	`rational.json-1`
964×	`rational.json-2`
964×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	240
1	402	236
2	1051	236
3	2676	236
4	7377	236

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))

(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 4) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 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3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (*.f64 (PI.f64) (/.f64 2 (sin.f64 (*.f64 z (PI.f64)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) 4) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 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(2) ((x and (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))))))

simplify213.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-51`
1012×	`rational.json-simplify-1`
776×	`rational.json-simplify-2`
776×	`rational.json-simplify-43`
628×	`rational.json-simplify-53`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	237	5780
1	604	5474
2	1466	5288
3	3952	5014
4	5505	5014
5	5833	5014
6	6128	4998
7	6787	4998

Stop Event

1×	node limit

Counts

42 → 129

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(*.f64 39321001939258358983/90000000000000000 z)
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Outputs
1106209385320415913103082059/4200000000000000000000000
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(.f64 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) 7902188421553103227/30000000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (exp.f64 z) (exp.f64 15/2)))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (.f64 z 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))))) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (.f64 z 39321001939258358983/90000000000000000) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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)))))

localize153.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
✓	0.9b	(/.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))

Compiler

Compiled 417 to 274 computations (34.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))
0.0ms	z	@	-inf	(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))

rewrite69.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`bool.json-1`
1380×	`bool.json-2`
1294×	`rational.json-1`
1294×	`rational.json-2`
1294×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	95	17
2	282	17
3	655	17
4	1527	17
5	4075	17

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 z) 3) (/.f64 10000000000000/7713234287776531 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (/.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531) (/.f64 1/2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531) (/.f64 1 (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10000000000000/7713234287776531 (/.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10000000000000/7713234287776531 (/.f64 (+.f64 (*.f64 z -2) 6) (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 z) 3) 5000000000000/7713234287776531) (/.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000/7713234287776531 (/.f64 (+.f64 (*.f64 z -2) 6) (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20000000000000/7713234287776531 (/.f64 (+.f64 (neg.f64 z) 3) (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 z -2) 6) (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) 5000000000000/7713234287776531)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 z -2) 6) (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) 10000000000000/7713234287776531)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (*.f64 (+.f64 (neg.f64 z) 3) 5000000000000/7713234287776531))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (*.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10000000000000/7713234287776531 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (+.f64 (neg.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 z) 3) (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) 20000000000000/7713234287776531)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) (*.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))

simplify149.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1640×	`rational.json-simplify-61`
1160×	`rational.json-simplify-2`
828×	`rational.json-simplify-35`
814×	`rational.json-simplify-1`
670×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1979
1	248	1979
2	505	1883
3	1181	1755
4	3420	1755
5	4550	1755
6	5193	1755
7	7225	1755

Stop Event

1×	node limit

Counts

47 → 83

Calls

Call 1

Inputs
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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(+.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)))
(-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(.f64 (+.f64 (neg.f64 z) 3) (/.f64 10000000000000/7713234287776531 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(*.f64 2 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 2) 1/2)
(.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (/.f64 1 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531) (/.f64 2 (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531) (/.f64 1/2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531) (/.f64 1 (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))
(*.f64 4 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4) 1/4)
(.f64 1/2 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 2))
(.f64 10000000000000/7713234287776531 (/.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 10000000000000/7713234287776531 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 1/4 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4))
(.f64 (.f64 (+.f64 (neg.f64 z) 3) 5000000000000/7713234287776531) (/.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 5000000000000/7713234287776531 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))))
(*.f64 (/.f64 7713234287776531/20000000000000 (+.f64 (neg.f64 z) 3)) 2)
(.f64 20000000000000/7713234287776531 (/.f64 (+.f64 (neg.f64 z) 3) (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) 5000000000000/7713234287776531)
(.f64 (/.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531)
(.f64 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) 10000000000000/7713234287776531)
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Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z))
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(.f64 5000000000000/7713234287776531 (/.f64 (/.f64 (+.f64 (.f64 z -2) 6) (+.f64 3 (neg.f64 z))) (*.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961)))
(.f64 (/.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) 10000000000000/7713234287776531)
(.f64 10000000000000/7713234287776531 (/.f64 (/.f64 (+.f64 3 (neg.f64 z)) (+.f64 3 (neg.f64 z))) (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961)))
(*.f64 10000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 3 (neg.f64 z))))
(.f64 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) 10000000000000/7713234287776531)
(.f64 10000000000000/7713234287776531 (/.f64 (/.f64 (+.f64 (.f64 z -2) 6) 2) (.f64 (+.f64 3 (neg.f64 z)) (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 10000000000000/7713234287776531 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961) (*.f64 (+.f64 3 (neg.f64 z)) 2))))
(.f64 10000000000000/7713234287776531 (/.f64 (+.f64 (.f64 z -2) 6) (.f64 (+.f64 3 (neg.f64 z)) (.f64 (+.f64 3 (neg.f64 z)) 200000000000000000000000000/59493983178131529437839794393961))))
(.f64 10000000000000/7713234287776531 (/.f64 (/.f64 (+.f64 (.f64 z -2) 6) (*.f64 (+.f64 3 (neg.f64 z)) (+.f64 3 (neg.f64 z)))) 200000000000000000000000000/59493983178131529437839794393961))
(.f64 10000000000000/7713234287776531 (/.f64 (/.f64 (+.f64 (.f64 z -2) 6) 200000000000000000000000000/59493983178131529437839794393961) (*.f64 (+.f64 3 (neg.f64 z)) (+.f64 3 (neg.f64 z)))))
(.f64 (/.f64 1 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 10000000000000/7713234287776531 (/.f64 (/.f64 1 (+.f64 3 (neg.f64 z))) (*.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 10000000000000/7713234287776531 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 (.f64 (+.f64 3 (neg.f64 z)) 10000000000000/7713234287776531) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z))))
(.f64 (/.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (.f64 (+.f64 (neg.f64 z) 3) 5000000000000/7713234287776531))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 5000000000000/7713234287776531 (/.f64 2 (.f64 (+.f64 3 (neg.f64 z)) (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (.f64 (+.f64 3 (neg.f64 z)) 5000000000000/7713234287776531) (/.f64 (/.f64 59493983178131529437839794393961/50000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z))))
(.f64 5000000000000/7713234287776531 (.f64 (+.f64 3 (neg.f64 z)) (/.f64 (/.f64 59493983178131529437839794393961/50000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 20000000000000/7713234287776531 (/.f64 1/2 (.f64 (+.f64 3 (neg.f64 z)) (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 20000000000000/7713234287776531 (/.f64 (/.f64 59493983178131529437839794393961/200000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 20000000000000/7713234287776531 (.f64 (+.f64 3 (neg.f64 z)) (/.f64 (/.f64 59493983178131529437839794393961/200000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 (/.f64 10000000000000/7713234287776531 (.f64 (+.f64 (neg.f64 z) 3) (*.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961))) (+.f64 (neg.f64 z) 3))
(.f64 (+.f64 3 (neg.f64 z)) (/.f64 (/.f64 10000000000000/7713234287776531 (+.f64 3 (neg.f64 z))) (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961)))
(.f64 (+.f64 3 (neg.f64 z)) (/.f64 7713234287776531/10000000000000 (.f64 (+.f64 3 (neg.f64 z)) (+.f64 3 (neg.f64 z)))))
(.f64 (/.f64 (+.f64 (neg.f64 z) 3) (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) 20000000000000/7713234287776531)
(.f64 20000000000000/7713234287776531 (/.f64 (/.f64 (+.f64 3 (neg.f64 z)) 2) (.f64 (+.f64 3 (neg.f64 z)) (*.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 20000000000000/7713234287776531 (/.f64 (+.f64 3 (neg.f64 z)) (.f64 (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961) (.f64 (+.f64 3 (neg.f64 z)) 2))))
(.f64 20000000000000/7713234287776531 (/.f64 (+.f64 3 (neg.f64 z)) (.f64 (+.f64 3 (neg.f64 z)) (*.f64 (+.f64 3 (neg.f64 z)) 200000000000000000000000000/59493983178131529437839794393961))))
(*.f64 20000000000000/7713234287776531 (/.f64 59493983178131529437839794393961/200000000000000000000000000 (+.f64 3 (neg.f64 z))))
(.f64 (/.f64 1 (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) (*.f64 (+.f64 (neg.f64 z) 3) 20000000000000/7713234287776531))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 20000000000000/7713234287776531 (/.f64 1/2 (.f64 (+.f64 3 (neg.f64 z)) (.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961)))))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 20000000000000/7713234287776531 (/.f64 (/.f64 59493983178131529437839794393961/200000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 20000000000000/7713234287776531 (.f64 (+.f64 3 (neg.f64 z)) (/.f64 (/.f64 59493983178131529437839794393961/200000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 (/.f64 2 (.f64 2 (.f64 (+.f64 (neg.f64 z) 3) (.f64 (+.f64 (neg.f64 z) 3) 100000000000000000000000000/59493983178131529437839794393961)))) (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 10000000000000/7713234287776531 (/.f64 (/.f64 1 (+.f64 3 (neg.f64 z))) (*.f64 (+.f64 3 (neg.f64 z)) 100000000000000000000000000/59493983178131529437839794393961))))
(.f64 (+.f64 3 (neg.f64 z)) (.f64 10000000000000/7713234287776531 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z)))))
(.f64 (.f64 (+.f64 3 (neg.f64 z)) 10000000000000/7713234287776531) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 3 (neg.f64 z))) (+.f64 3 (neg.f64 z))))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 4) 4)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(neg.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))

localize1.9s (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
	3.2b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))

Compiler

Compiled 525 to 357 computations (32% saved)

eval3.0s (2%)

Compiler: Compiled 59301 to 41551 computations (29.9% saved)

prune537.0ms (0.4%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	783	21	804
Fresh	7	14	21
Picked	1	0	1
Done	5	0	5
Total	796	35	831

Error

0.0b

Counts

831 → 35

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 778827834744865243/3000000000000000 (*.f64 z 3879130361789901929/45000000000000000))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))
	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)))))
	1.4b	(.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (.f64 369762002444465943037/675000000000000000 (pow.f64 z 2)) (+.f64 9226801140269157727/30000000000000000 (.f64 20157230739147699929/45000000000000000 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))
	1.5b	(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
▶	1.4b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.4b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.6b	(.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	2.4b	(.f64 (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 2)) (/.f64 (exp.f64 -15/2) z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
	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)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	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)) (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 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
▶	3.1b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	2.9b	(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) z)) 1106209385320415913103082059/4200000000000000000000000))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4))) (+.f64 778827834744865243/3000000000000000 (*.f64 z 3879130361789901929/45000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	39.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
	1.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	2.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))))
▶	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
	2.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	2.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (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 1 z)))
▶	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))

Compiler

Compiled 3824 to 2926 computations (23.5% saved)

localize336.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
	0.9b	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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)))))))
✓	1.0b	(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 626 to 431 computations (31.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite96.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational.json-simplify-35`
874×	`bool.json-1`
874×	`bool.json-2`
836×	`rational.json-1`
836×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	143	33
2	399	33
3	923	33
4	2508	33
5	7165	33

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 2) (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 2 (/.f64 (exp.f64 z) (exp.f64 15/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 z) (exp.f64 15/2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4) (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4) (*.f64 (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4) (*.f64 1/4 (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4) (*.f64 1/2 (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 z)) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (neg.f64 (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (neg.f64 (/.f64 (exp.f64 z) (exp.f64 15/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 -15/2)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 z) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 15/2)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 2) (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 1/2) (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (/.f64 (exp.f64 15/2) (exp.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) 4) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (exp.f64 z) (exp.f64 15/2))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))))))))

simplify164.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1662×	`rational.json-simplify-35`
1226×	`rational.json-simplify-2`
862×	`rational.json-simplify-1`
786×	`rational.json-simplify-39`
734×	`rational.json-simplify-50`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	137	2228
1	293	2100
2	593	2084
3	1181	2056
4	2859	2054
5	5031	1864
6	5788	1858
7	6346	1858
8	7197	1858

Stop Event

1×	node limit

Counts

56 → 72

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

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
✓	0.5b	(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 52 to 44 computations (15.4% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`rational.json-simplify-50`
844×	`rational.json-simplify-35`
824×	`rational.json-simplify-1`
822×	`bool.json-1`
822×	`bool.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
1	178	93
2	457	93
3	982	93
4	2367	93
5	6473	93

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify143.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1594×	`rational.json-simplify-35`
1422×	`rational.json-simplify-2`
810×	`rational.json-simplify-61`
772×	`rational.json-simplify-51`
710×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	356	4915
1	1455	4907
2	4889	4907
3	7219	4907

Stop Event

1×	node limit

Counts

181 → 168

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.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 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 0)
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(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 1)
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(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))
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(/.f64 (neg.f64 (sqrt.f64 15/2)) (/.f64 (neg.f64 z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 z) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 4 (/.f64 (.f64 2 (.f64 z (/.f64 2 (sqrt.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 4 (/.f64 (/.f64 (.f64 z 4) (sqrt.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/1050000000000000000000000) 4)
(/.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) 4) (/.f64 4 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 15/2) 4)) (/.f64 (.f64 2 (.f64 z 4)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 z 2) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (/.f64 1/2 z) (/.f64 (/.f64 1/2 (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) -2) (/.f64 (.f64 2 (neg.f64 z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) -2) (/.f64 (neg.f64 (+.f64 z z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000) (.f64 z (/.f64 2 (sqrt.f64 15/2))))
(/.f64 (.f64 2 (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/1050000000000000000000000)) 8)
(/.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) (/.f64 1 (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 1/2 z)) (/.f64 1/2 (sqrt.f64 15/2)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 15/2) z) 1/4) (/.f64 4 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (/.f64 (sqrt.f64 15/2) (neg.f64 z)) (/.f64 -1 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
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Outputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
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(-.f64 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2)))) 0)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2)))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 15/2) z) 1106209385320415913103082059/2100000000000000000000000))) 2)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 (/.f64 2 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/1050000000000000000000000)) 4)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 z (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/1050000000000000000000000))) 8)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/1050000000000000000000000)))) 16)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2)))) (-.f64 0 (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (neg.f64 (/.f64 z (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))

localize96.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 82 to 54 computations (34.1% saved)

series9.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite65.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`bool.json-1`
1166×	`bool.json-2`
1160×	`rational.json-simplify-2`
1130×	`rational.json-1`
1130×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	80
1	209	80
2	534	80
3	1198	80
4	3257	80

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 4)) (*.f64 2 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) (*.f64 2 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 2) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 2 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 1/2) (*.f64 2 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 1 (PI.f64))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))))))

simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1504×	`rational.json-simplify-51`
1196×	`rational.json-simplify-49`
1032×	`rational.json-simplify-1`
862×	`rational.json-simplify-43`
760×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2600
1	412	2400
2	1170	2370
3	4820	2370
4	7138	2370

Stop Event

1×	node limit

Counts

36 → 54

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (.f64 -1/5040 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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Outputs
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(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000))) 4)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000)))) 8)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (.f64 2 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) (.f64 2 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000)))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1106209385320415913103082059/2100000000000000000000000))))) 16)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 2) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (PI.f64) 2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 1 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (.f64 2 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 1/2 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 -1 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 1/2) (.f64 2 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))
(/.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 1 (PI.f64))) (sin.f64 (*.f64 (PI.f64) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (.f64 z (PI.f64)))))

localize100.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	0.9b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
✓	1.0b	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 265 to 167 computations (37% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
0.0ms	z	@	0	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))
0.0ms	z	@	inf	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`bool.json-1`
1030×	`bool.json-2`
956×	`rational.json-1`
956×	`rational.json-2`
956×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	413	230
2	1083	230
3	2684	230
4	6858	230

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs

(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))

Outputs

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simplify147.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational.json-simplify-35`
1230×	`rational.json-simplify-46`
1228×	`rational.json-simplify-61`
1174×	`rational.json-simplify-44`
1088×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	7909
1	774	7689
2	2133	7539
3	7183	7539

Stop Event

1×	node limit

Counts

53 → 111

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
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(/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 1 (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64)) (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))))
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(/.f64 (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
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7902188421553103227/30000000000000000
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(/.f64 (/.f64 (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))
(.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (.f64 (PI.f64) (/.f64 2 (sin.f64 (.f64 z (PI.f64))))) (/.f64 2 (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))))
(.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))
(.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (.f64 2 (.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 4)) 8)
(.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))
(.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 2 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) 2)
(.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))
(.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 z) (exp.f64 15/2)))))) (neg.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))))))
(.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))) (/.f64 (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (sin.f64 (.f64 z (PI.f64))))))

localize158.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
✓	0.9b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 435 to 290 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

0.0ms

inf

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

0.0ms

-inf

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`bool.json-1`
1178×	`bool.json-2`
1054×	`rational.json-1`
1054×	`rational.json-2`
1054×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	151
1	430	147
2	1158	147
3	3017	143
4	7292	143

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 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3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 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z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))))))))

simplify1.1s (0.7%)

Algorithm

1×	egg-herbie

Rules

5372×	`rational.json-simplify-41`
1248×	`rational.json-simplify-51`
1214×	`rational.json-simplify-2`
1152×	`rational.json-simplify-1`
1118×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1593
1	196	1593
2	410	1539
3	945	1539
4	1500	1539
5	2206	1539
6	2718	1539
7	2892	1539
8	2971	1539
9	3044	1539
10	3113	1539
11	3180	1539
12	3875	1539
13	3943	1539
14	4010	1539
15	4073	1539
16	4136	1539
17	4199	1539
18	4558	1539

Stop Event

1×	node limit

Counts

21 → 41

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 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))) 0)
(.f64 1 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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 2 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))) 2))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))) 1)
(.f64 (.f64 2 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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))))) 1/2)
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.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)))) 1)
(/.f64 (.f64 2 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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))))) 2)
(/.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))) 4) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))) 4)) 8)

Outputs
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 102757979785251069442117317613/235200000000000000000000000 z) (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)) (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2))) (*.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (+.f64 (.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)) (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3))))
(*.f64 53758197989915921/720000000000000 z)
(*.f64 z 53758197989915921/720000000000000)
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.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 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 6418621569060470797/30000000000000000 (+.f64 (*.f64 z 53758197989915921/720000000000000) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 z 53758197989915921/720000000000000) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) 6418621569060470797/30000000000000000)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))

eval9.7s (6.5%)

Compiler: Compiled 43500 to 31512 computations (27.6% saved)

prune2.9s (1.9%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	748	24	772
Fresh	10	20	30
Picked	1	0	1
Done	1	3	4
Total	760	47	807

Error

0.0b

Counts

807 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
	2.5b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 z (sqrt.f64 15/2)))
	3.2b	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 15/2) z) 1106209385320415913103082059/2100000000000000000000000))) 2)
	3.1b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 (/.f64 2 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 2))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	1.7b	(.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)))))
	1.4b	(.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (.f64 369762002444465943037/675000000000000000 (pow.f64 z 2)) (+.f64 9226801140269157727/30000000000000000 (.f64 20157230739147699929/45000000000000000 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7))))))))
	1.3b	(.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 z 53758197989915921/720000000000000) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) 6418621569060470797/30000000000000000)))) (+.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)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.5b	(.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 8 (neg.f64 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	1.3b	(.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (.f64 z 53758197989915921/720000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 6418621569060470797/30000000000000000)) (+.f64 (+.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶	1.4b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.0b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.4b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	1.6b	(.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
	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)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (-.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	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)) (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 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 3147848041806007/2500000000000 (-.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	3.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	2.9b	(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) z)) 1106209385320415913103082059/4200000000000000000000000))
▶	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4)))
	2.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 1 z) (/.f64 (/.f64 1 (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 15/2) (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 15/2) (.f64 (.f64 z 1/4) (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)))))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	39.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 z 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000)))
▶	1.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
	2.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))))))
	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 15/2) (/.f64 (/.f64 2 z) (/.f64 8400000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)))))
	3.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))))
	2.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 1 (sqrt.f64 15/2)))))
	2.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (exp.f64 -15/2) 1/2) (.f64 z (/.f64 2 (sqrt.f64 15/2))))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 -15/2)))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))))
✓	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
✓	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (/.f64 1 z) (.f64 z (*.f64 (pow.f64 (PI.f64) 2) 1/6)))))
▶	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 4240 to 3315 computations (21.8% saved)

localize446.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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)))))))
	0.9b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
✓	1.0b	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 625 to 434 computations (30.6% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`bool.json-1`
1550×	`bool.json-2`
1502×	`rational.json-1`
1502×	`rational.json-2`
1502×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	128	42
2	327	42
3	647	42
4	1313	42
5	2980	42
6	6160	42

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(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 (sqrt.f64 (*.f64 2 (PI.f64))) 0)))) (#(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 (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 4 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))))) (#(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 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))) 1/2) 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))) 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 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8) 8)))) (#(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 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 z -15/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))))

simplify984.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1986×	`rational.json-simplify-2`
1544×	`rational.json-simplify-35`
1036×	`rational.json-simplify-41`
910×	`rational.json-simplify-43`
722×	`rational.json-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1226
1	213	1182
2	583	1150
3	1793	1112
4	3135	1096
5	4309	1096
6	4830	1096
7	5748	1096
8	6336	1096
9	7229	1096

Stop Event

1×	node limit

Counts

42 → 61

Calls

Call 1

Inputs
(.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 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(+.f64 0 (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))
(-.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))) 1/2)
(.f64 4 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 1/4)
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))
(.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 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8)) (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8))) 32)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 z -15/2)) 1/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 z -15/2)) 1/2)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 z -15/2)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8)) (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8))) 32)

Outputs
(.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 (exp.f64 -15/2) z) (exp.f64 -15/2))))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) z)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 (sqrt.f64 (PI.f64)) 1/2))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (.f64 (sqrt.f64 (PI.f64)) 1/2)))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) z) (exp.f64 -15/2)))) (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 z 2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 z 2)) (.f64 (exp.f64 -15/2) 1/2)) (.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (exp.f64 -15/2) (pow.f64 z 2)))) (.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) z)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (.f64 (sqrt.f64 (PI.f64)) 1/2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (*.f64 (sqrt.f64 (PI.f64)) 1/6))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (.f64 (sqrt.f64 (PI.f64)) 1/2))) (.f64 1/6 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 z 3)) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) z)) (.f64 (.f64 (sqrt.f64 2) (pow.f64 z 2)) (.f64 (exp.f64 -15/2) 1/2)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (pow.f64 z 3)) 1/6)))))
(+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) z))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 z 3)))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 z 2)) (.f64 (exp.f64 -15/2) 1/2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 z 2)) (.f64 (sqrt.f64 (PI.f64)) 1/2))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 z 3)))) (.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) z))))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 z -1))))))
(.f64 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 z) (exp.f64 15/2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 z -1))))))
(.f64 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 z) (exp.f64 15/2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 z -1))))))
(.f64 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 z) (exp.f64 15/2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 z -1))))))
(.f64 (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z)))) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 z) (exp.f64 15/2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(+.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(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 (sqrt.f64 (*.f64 2 (PI.f64))) 0)
(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 (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 4 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4) 1/4)
(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))) 1/2) 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))) 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 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8) 8)
(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 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8)) (.f64 2 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 8))) 32)
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 0)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 z -15/2)) 1/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 z -15/2)) 1/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 0)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 2 (exp.f64 (+.f64 z -15/2)))) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) 4)) 4)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8) 8)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8)) 16)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8)) (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 8))) 32)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 46 computations (16.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`rational.json-simplify-61`
878×	`rational.json-simplify-35`
820×	`bool.json-1`
820×	`bool.json-2`
820×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	176	84
2	441	84
3	941	84
4	2329	84
5	6689	84

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 2) (/.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (/.f64 (/.f64 (/.f64 (+.f64 z z) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify594.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-51`
1090×	`rational.json-simplify-53`
1062×	`rational.json-simplify-46`
938×	`rational.json-simplify-41`
798×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	3369
1	659	3369
2	2303	3369
3	4296	3369
4	6087	3369

Stop Event

1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))) 2) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))) 2))
(-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))) 0)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))) 1)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (/.f64 2 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 2))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1106209385320415913103082059/2100000000000000000000000) (/.f64 (sqrt.f64 15/2) z))) 2)
(/.f64 (.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) 1106209385320415913103082059/1050000000000000000000000) 4)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (.f64 2 (.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 1106209385320415913103082059/1050000000000000000000000)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) 1106209385320415913103082059/1050000000000000000000000))) 16)
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Outputs
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(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 2 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 2))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 1 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) 2) (/.f64 (+.f64 z z) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 2 (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))) 2)
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) (/.f64 2 z)) (/.f64 2 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) 4) (/.f64 (.f64 z 4) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 1 (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (neg.f64 (sqrt.f64 15/2)) (/.f64 (neg.f64 z) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 -1 (/.f64 (/.f64 z (neg.f64 (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 4 (/.f64 (.f64 2 (/.f64 (+.f64 z z) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 4 (/.f64 (/.f64 (.f64 z 4) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4)) 4)
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (/.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 4))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 4 z))) 1/4))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) (/.f64 4 z))) 1/4))
(/.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) 4) (/.f64 4 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 15/2) 4)) (/.f64 (.f64 2 (.f64 z 4)) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 z 2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 1/2 z) (/.f64 (/.f64 1/2 (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) -2) (/.f64 (.f64 2 (neg.f64 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (sqrt.f64 15/2) -2) (/.f64 (neg.f64 (+.f64 z z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (+.f64 z z) (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 2 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4))) 8)
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (/.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 4))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 4 z))) 1/4))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) (/.f64 4 z))) 1/4))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) z) (/.f64 1 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 1/2 z)) (/.f64 1/2 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 (.f64 (sqrt.f64 15/2) 4) z) (/.f64 4 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 (sqrt.f64 15/2) (neg.f64 z)) (/.f64 -1 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4)))) 16)
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) (/.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) 4))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 4) 4))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 4 z))) 1/4))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) (/.f64 4 z))) 1/4))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) 2) (/.f64 (/.f64 z 2) (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (neg.f64 z)) (/.f64 -1 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) 1/2) (/.f64 (+.f64 z z) (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1 (sqrt.f64 15/2))) z)
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (neg.f64 (/.f64 z (sqrt.f64 15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 z (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4)))
✓	0.4b	(/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2))

Compiler

Compiled 60 to 53 computations (11.7% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4))
0.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4)))
0.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4)))
0.0ms	z	@	inf	(/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4))
0.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4)))

rewrite100.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2070×	`bool.json-1`
2070×	`bool.json-2`
1576×	`bool.json-3`
1090×	`rational.json-simplify-35`
750×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	204	95
2	601	95
3	1916	95
4	6124	95

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

(/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2))

(/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000)) (+.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000)) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 2 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 2 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 2 (*.f64 (exp.f64 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1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) 2) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 15/2) 2) (/.f64 2 (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 15/2) 2) (*.f64 (/.f64 2 (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 15/2) 2) (*.f64 1/2 (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 15/2) 2) (*.f64 (/.f64 1/2 z) (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(sqrt.f64 15/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4)))) (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4)))) (/.f64 (exp.f64 -15/2) (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 1/4 (/.f64 z (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 z 1/4)) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 2) (/.f64 (sqrt.f64 15/2) (*.f64 z 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000)) 8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 2 (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 1/4 (/.f64 z (sqrt.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4)) (/.f64 z (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) 4) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2))) (/.f64 1/4 (/.f64 (sqrt.f64 15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (/.f64 1/4 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/4) (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (-.f64 0 (*.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 1/4 (/.f64 z (sqrt.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))) (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/16800000000000000000000000) 1/4) z))))))))

simplify1.1s (0.7%)

Algorithm

1×	egg-herbie

Rules

1392×	`rational.json-simplify-51`
1136×	`rational.json-simplify-53`
1018×	`rational.json-simplify-35`
934×	`rational.json-simplify-44`
874×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	158	2829
1	417	2781
2	1423	2781
3	4943	2781
4	7568	2781

Stop Event

1×	node limit

Counts

87 → 90

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 0)
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Outputs
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(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))
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(/.f64 (sqrt.f64 15/2) (/.f64 z (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4))))
(.f64 (/.f64 (exp.f64 -15/2) (.f64 z (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) 1/4)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (.f64 z 1/4))) (sqrt.f64 (.f64 2 (PI.f64))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (-.f64 0 (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 1/4 (/.f64 z (sqrt.f64 15/2))))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 1/4 (/.f64 z (sqrt.f64 15/2)))))
(/.f64 (sqrt.f64 15/2) (/.f64 z (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) 1/4))))
(.f64 (/.f64 (exp.f64 -15/2) (.f64 z (/.f64 16800000000000000000000000/1106209385320415913103082059 (/.f64 (sqrt.f64 15/2) 1/4)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (.f64 z 1/4))) (sqrt.f64 (.f64 2 (PI.f64))))

localize73.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
✓	0.6b	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
	0.9b	(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 168 to 95 computations (43.5% saved)

series82.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
2.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
2.0ms	z	@	0	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
2.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
1.0ms	z	@	inf	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))

rewrite1.1s (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`bool.json-1`
2006×	`bool.json-2`
1958×	`rational.json-1`
1598×	`bool.json-3`
612×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	208
1	285	200
2	721	200
3	1694	200
4	5206	200

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2))))) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 4) (*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) (*.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))))

simplify1.9s (1.2%)

Algorithm

1×	egg-herbie

Rules

1884×	`rational.json-simplify-35`
1322×	`rational.json-simplify-51`
1038×	`rational.json-simplify-2`
990×	`rational.json-simplify-43`
894×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	7176
1	701	6648
2	1545	6506
3	3919	6120
4	6754	6120
5	7320	6120
6	7427	6120
7	7806	6120

Stop Event

1×	node limit

Counts

40 → 112

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (PI.f64))) (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (exp.f64 -15/2) (PI.f64)))) (sqrt.f64 15/2)) (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(+.f64 0 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(-.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 0)
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 1)
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 2)) 2)
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (/.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 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4)) 8)
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 0)
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(-.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 0)
(/.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 1)
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2))))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))))) 2)
(/.f64 (.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 4) (.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 4)) 8)

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (PI.f64))) (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (exp.f64 -15/2) (PI.f64)))) (sqrt.f64 15/2)) (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 2)) 2)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(/.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64)))
(.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (/.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 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (exp.f64 15/2) (.f64 (exp.f64 z) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (/.f64 (/.f64 (exp.f64 15/2) (exp.f64 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4) 4)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 4)) 8)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))))))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 0)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(+.f64 0 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(-.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 0)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(/.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 1)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2))))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 2 (sqrt.f64 (*.f64 (PI.f64) 2))))) 2)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(/.f64 (.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 4) 4)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 4) (.f64 (.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2))))) 4)) 8)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.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 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (exp.f64 z) (exp.f64 15/2)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (/.f64 (/.f64 (exp.f64 z) (/.f64 (exp.f64 15/2) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (sqrt.f64 (.f64 (PI.f64) 2)))))

localize934.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	0.9b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (neg.f64 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))

Compiler

Compiled 411 to 284 computations (30.9% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

0.0ms

-inf

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

0.0ms

inf

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational.json-simplify-35`
1414×	`bool.json-1`
1414×	`bool.json-2`
1358×	`rational.json-1`
1358×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	114	35
2	286	35
3	586	35
4	1176	35
5	2592	35
6	5437	35

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 1/2 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))))

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-55`
1394×	`rational.json-simplify-43`
1140×	`rational.json-simplify-35`
1022×	`rational.json-simplify-49`
816×	`rational.json-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	96	1407
1	220	1281
2	428	1211
3	954	1125
4	3463	1103
5	5428	1087
6	6582	1087

Stop Event

1×	node limit

Counts

19 → 36

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.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)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(.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))))
(.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))))
(.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))))
(.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))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 1/2 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) 2)) 2)
(/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 4)) 4)
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8)))) 64)

Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (+.f64 (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (sqrt.f64 15/2))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))) z)))
(.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (.f64 z (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)))) z) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1/2)))) (pow.f64 z 2))))
(+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))) 1/2))) (pow.f64 z 2)) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (+.f64 (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (sqrt.f64 15/2))) z)))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))) z)) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))) (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 1/2))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (.f64 z (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (-.f64 -1/15 (log.f64 15/2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) 283/450)) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (.f64 z (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) (+.f64 283/450 (-.f64 -1/15 (log.f64 15/2)))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.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)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1/2)))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 29/225))))) (+.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1/6)) (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) 1/2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) z))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))) 1/2))) (pow.f64 z 2)) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (+.f64 (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (sqrt.f64 15/2))) z) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 1/6)) (.f64 (exp.f64 -15/2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 29/225) (.f64 1/6 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 3))))) (.f64 1/2 (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))))))) (pow.f64 z 3)))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15))) z)) (+.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))) (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 1/2))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1/6 (.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 29/225) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 3)))) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2)))))) (pow.f64 z 3)))))
(+.f64 (.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (.f64 z (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (-.f64 -1/15 (log.f64 15/2)) (+.f64 (.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) 283/450)) (pow.f64 z 2))) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (+.f64 1/6 (+.f64 (.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3))))))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2))) (.f64 (-.f64 -1/15 (log.f64 15/2)) 1/2)))) (pow.f64 z 3))))
(+.f64 (.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (.f64 z (+.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) (+.f64 283/450 (-.f64 -1/15 (log.f64 15/2)))) (pow.f64 z 2))) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3)))))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (-.f64 -1/15 (log.f64 15/2)) 1/2) (+.f64 (.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2)) 133/450)))) (pow.f64 z 3))))
(.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))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z))) (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (.f64 -1 z)))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z))) (+.f64 -15/2 z)))
(.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))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z))) (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (.f64 -1 z)))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z))) (+.f64 -15/2 z)))
(.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))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z))) (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (.f64 -1 z)))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z))) (+.f64 -15/2 z)))
(.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))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (.f64 -1 z))) (.f64 (log.f64 (+.f64 15/2 (.f64 -1 z))) (+.f64 1/2 (.f64 -1 z)))))
(exp.f64 (+.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))) (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (/.f64 (exp.f64 z) (exp.f64 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))))
(.f64 (exp.f64 (.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z)))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 15/2 (neg.f64 z))) (+.f64 1/2 (neg.f64 z))) (+.f64 -15/2 z)))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 1/2 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) 2)) 2)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 4)) 4)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8) 8)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8)) 16)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8))) 32)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 8)))) 64)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))

eval750.0ms (0.5%)

Compiler: Compiled 35700 to 26880 computations (24.7% saved)

prune285.0ms (0.2%)

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	705	22	727
Fresh	17	22	39
Picked	1	0	1
Done	2	5	7
Total	725	49	774

Error

0.0b

Counts

774 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (/.f64 1/4 (sqrt.f64 15/2))))
	2.3b	(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/4) (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))))
	2.9b	(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
	2.5b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 z (sqrt.f64 15/2)))
	3.1b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 (/.f64 2 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) 2))
	2.4b	(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 (/.f64 16800000000000000000000000/1106209385320415913103082059 (exp.f64 -15/2)) (*.f64 z 1/4)) (sqrt.f64 15/2)))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (*.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))))))))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.f64 z -15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))))))))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531)) (.f64 (+.f64 (neg.f64 z) 5) 200000000000000/2501468655737381)) (.f64 (+.f64 (neg.f64 z) 3) 10000000000000/7713234287776531))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.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))))))))))
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✓	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))))
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✓	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
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✓	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (.f64 2 (PI.f64)))))

Compiler

Compiled 2189 to 1721 computations (21.4% saved)

regimes1.6s (1.1%)

Results