Details

analyze1.2s (1%)

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)

sample1.3min (71%)

Results

1.2min	3987×	body	8192	exit
6.7s	8256×	body	256	valid
192.0ms	86×	body	256	unsamplable
53.0ms	91×	body	256	infinite

Bogosity

preprocess190.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2016×	`rational_best-simplify-1`
1774×	`rational_best-simplify-102`
1718×	`rational_best-simplify-97`
1498×	`rational_best-simplify-2`
1148×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	377
1	105	365
2	179	311
3	345	293
4	816	293
5	2226	293
6	2803	293
7	3050	293
8	3349	293
9	3773	293
10	4423	293
11	5697	293
12	6980	293
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 (-.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 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (+.f64 (-.f64 1 z) -1) 1/2))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 8)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify183.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2016×	`rational_best-simplify-1`
1774×	`rational_best-simplify-102`
1718×	`rational_best-simplify-97`
1498×	`rational_best-simplify-2`
1148×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	377
1	105	365
2	179	311
3	345	293
4	816	293
5	2226	293
6	2803	293
7	3050	293
8	3349	293
9	3773	293
10	4423	293
11	5697	293
12	6980	293

Stop Event

1×	node limit

Counts

1 → 9

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 (-.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 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (+.f64 (-.f64 1 z) -1) 1/2))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 8)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

eval41.0ms (0%)

Compiler: Compiled 942 to 784 computations (16.8% saved)

prune127.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1	8	9
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	9	10

Error

0.2b

Counts

10 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (+.f64 (-.f64 1 z) -1) 1/2))) (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (+.f64 (-.f64 1 z) -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.f64 (-.f64 1 z) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 3)) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 4)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 (-.f64 1 z) -1) 8)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
▶	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.0b	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
▶	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Compiler

Compiled 1652 to 1428 computations (13.6% saved)

localize312.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 601 to 502 computations (16.5% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite157.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`rational_best-5`
1306×	`rational_best-2`
1306×	`rational_best-3`
1306×	`rational_best-1`
1304×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	166
1	257	166
2	715	166
3	2891	166

Stop Event

1×	node limit

Counts

4 → 61

Calls

Call 1

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

Outputs
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simplify354.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best-simplify-43`
820×	`rational_best-simplify-50`
780×	`rational_best-simplify-49`
764×	`rational_best-simplify-132`
640×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	3871
1	397	3871
2	1036	3871
3	2685	3871
4	6510	3871

Stop Event

1×	node limit

Counts

97 → 142

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))))))
62984711258857409/10000000000000000
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(+.f64 62984711258857409/10000000000000000 (+.f64 (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2)) (.f64 3511974183497980887/10000000000000000 z)))
(+.f64 62984711258857409/10000000000000000 (+.f64 (.f64 2388617105473264849317/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2)) (*.f64 3511974183497980887/10000000000000000 z))))
9999999999998099/10000000000000000
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(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
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9999999999998099/10000000000000000
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(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
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7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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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 (.f64 904338909853211/2500000000000 z) (+.f64 479507597606835099/10000000000000000 (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
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(+.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 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
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(+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (.f64 4 (PI.f64)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 4 (.f64 (PI.f64) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 4 (PI.f64)))) (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 4 (.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))) (sqrt.f64 (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (.f64 4 (PI.f64))))) (.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 4 (PI.f64)))) (sqrt.f64 (.f64 (PI.f64) (*.f64 4 (PI.f64))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 4 (.f64 (PI.f64) (PI.f64))))) (sqrt.f64 (.f64 (.f64 4 (.f64 (PI.f64) (PI.f64))) (.f64 4 (*.f64 (PI.f64) (PI.f64))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 4 (.f64 (PI.f64) (PI.f64))))) (sqrt.f64 (.f64 4 (.f64 (.f64 4 (.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) 2))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 0)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 0)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))

localize426.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 570 to 466 computations (18.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite184.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`rational_best-5`
798×	`rational_best-4`
798×	`rational_best-2`
798×	`rational_best-3`
798×	`rational_best-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	86
1	174	86
2	453	86
3	1764	78
4	7564	74

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))

(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))

Outputs
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Outputs

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simplify245.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best-simplify-132`
1246×	`rational_best-simplify-54`
860×	`rational_best-simplify-2`
834×	`rational_best-simplify-24`
792×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	2428
1	267	2428
2	1026	2428
3	3456	2428
4	7205	2428

Stop Event

1×	node limit

Counts

64 → 71

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)))))
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
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(+.f64 (.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 0)
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(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)
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(.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 1 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))
(*.f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
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(/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)
(/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(/.f64 (*.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) 2)
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) 1)
(neg.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))) 0)
(-.f64 0 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
(*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 1 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(*.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))
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(.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
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(.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (*.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))
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(.f64 (/.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(/.f64 (*.f64 2 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 2)
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(neg.f64 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))

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 (.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 (.f64 -69565428553209127/540000000000000 (pow.f64 z 2)) (+.f64 (.f64 -5154349522119383/22500000000000 z) (*.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)))) 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 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.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)))))
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(/.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 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
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-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (*.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 z -105381455914863113/10000000000000000) (.f64 (pow.f64 z 2) -531910216885790327/200000000000000000)) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (+.f64 (.f64 z -105381455914863113/10000000000000000) (.f64 (pow.f64 z 2) -531910216885790327/200000000000000000)) (*.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000)) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 z -105381455914863113/10000000000000000) (+.f64 (.f64 (pow.f64 z 2) -531910216885790327/200000000000000000) (*.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000))) 41652288634797769/1000000000000000)
(/.f64 32821537176690739/200000000000000 z)
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32821537176690739/200000000000000 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 5151387202041023/8000000000000) (.f64 (/.f64 1 z) 32821537176690739/200000000000000))
(+.f64 (.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z))))
(+.f64 (.f64 (/.f64 1 (pow.f64 z 2)) 5151387202041023/8000000000000) (+.f64 (.f64 (/.f64 1 z) 32821537176690739/200000000000000) (*.f64 (/.f64 1 (pow.f64 z 3)) 100526275385083079/40000000000000)))
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(.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (*.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(/.f64 (*.f64 2 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) 2)
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))
(neg.f64 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))

localize239.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
✓	1.0b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 598 to 495 computations (17.2% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

Time

Variable

Point

Expression

2.0ms

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

1.0ms

-inf

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

1.0ms

inf

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`rational_best-simplify-47`
1136×	`rational_best-simplify-54`
1020×	`rational_best-simplify-2`
922×	`rational_best-simplify-1`
564×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	223
1	403	223
2	1097	223
3	4439	223

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)))))

simplify180.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational_best-simplify-43`
1406×	`rational_best-simplify-132`
1254×	`rational_best-simplify-80`
1120×	`rational_best-simplify-78`
986×	`rational_best-simplify-82`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	3103
1	272	3031
2	444	2971
3	842	2941
4	2695	2911
5	4130	2911
6	6268	2911

Stop Event

1×	node limit

Counts

19 → 59

Calls

Call 1

Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2)))) (pow.f64 z 2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2))))))
(+.f64 (.f64 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))))) (pow.f64 z 3)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2)))) (pow.f64 z 2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))))
(*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 2))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 2))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3))) (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) z)) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) (pow.f64 z 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) z)) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) (pow.f64 z 2))) (+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) (pow.f64 z 3))))))
(+.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)
(+.f64 0 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(-.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)
(/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(/.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 2)) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)

Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 z (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 z (+.f64 (.f64 (sqrt.f64 15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (neg.f64 (log.f64 15/2)) 1/15))) (*.f64 (sqrt.f64 15/2) 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 z (.f64 (sqrt.f64 15/2) (+.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (neg.f64 (log.f64 15/2)) 1/15))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 15/2) (.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (neg.f64 (log.f64 15/2)) 1/15))))))
(.f64 (sqrt.f64 15/2) (+.f64 (.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 (neg.f64 (log.f64 15/2)) 1/15)))) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))

localize241.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	7.9b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 602 to 502 computations (16.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (-.f64 1 z) -1)
0.0ms	z	@	0	(+.f64 (-.f64 1 z) -1)
0.0ms	z	@	-inf	(+.f64 (-.f64 1 z) -1)

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational_best-5`
1174×	`rational_best-4`
1174×	`rational_best-2`
1174×	`rational_best-3`
1174×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	56	13
2	164	13
3	644	5
4	2530	5

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 (-.f64 1 z) -1)

Outputs

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

simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational_best-simplify-2`
1108×	`rational_best-simplify-80`
914×	`rational_best-simplify-78`
880×	`rational_best-simplify-94`
712×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	260
1	138	260
2	325	260
3	869	260
4	2168	260
5	4768	260

Stop Event

1×	node limit

Counts

52 → 40

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(-.f64 1 (+.f64 1 z))
(-.f64 (-.f64 1 z) 1)
(-.f64 -1 (+.f64 z -1))
(-.f64 (neg.f64 z) 0)
(-.f64 0 z)
(*.f64 1 (neg.f64 z))
(*.f64 z -1)
(*.f64 -1 z)
(*.f64 (neg.f64 z) 1)
(*.f64 (neg.f64 z) (/.f64 z z))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 z z)))
(*.f64 (/.f64 z z) (neg.f64 z))
(.f64 (/.f64 1 (neg.f64 z)) (.f64 z z))
(.f64 (.f64 z z) (/.f64 1 (neg.f64 z)))
(.f64 (.f64 z z) (/.f64 (/.f64 z z) (neg.f64 z)))
(.f64 (.f64 z z) (/.f64 (*.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)))
(.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z))
(*.f64 (/.f64 1 (/.f64 z z)) (neg.f64 z))
(.f64 (/.f64 1 (/.f64 z z)) (.f64 (neg.f64 z) (*.f64 (/.f64 z z) (/.f64 z z))))
(.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (/.f64 1 (neg.f64 z)) (*.f64 z z)))
(.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (/.f64 (/.f64 z z) (neg.f64 z)) (*.f64 z z)))
(.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)) (.f64 z z)))
(.f64 (.f64 (neg.f64 z) (*.f64 (/.f64 z z) (/.f64 z z))) (/.f64 1 (/.f64 z z)))
(.f64 (/.f64 (/.f64 z z) (neg.f64 z)) (.f64 z z))
(.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)) (*.f64 z z))
(.f64 (/.f64 (/.f64 1 (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z)))
(.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (/.f64 (/.f64 1 (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(.f64 (/.f64 (/.f64 (/.f64 z z) (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z)))
(.f64 (/.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))
(.f64 (/.f64 (/.f64 (/.f64 1 (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(.f64 (/.f64 -1 z) (.f64 z z))
(.f64 (/.f64 (/.f64 1 (/.f64 z z)) (neg.f64 z)) (.f64 z z))
(/.f64 z -1)
(/.f64 (neg.f64 z) 1)
(/.f64 (neg.f64 z) (/.f64 z z))
(/.f64 (neg.f64 (+.f64 z z)) 2)
(/.f64 (+.f64 z z) -2)
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(-.f64 1 (+.f64 1 z))
(neg.f64 z)
(-.f64 (-.f64 1 z) 1)
(neg.f64 z)
(-.f64 -1 (+.f64 z -1))
(neg.f64 z)
(-.f64 (neg.f64 z) 0)
(neg.f64 z)
(-.f64 0 z)
(neg.f64 z)
(*.f64 1 (neg.f64 z))
(neg.f64 z)
(*.f64 z -1)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 (neg.f64 z) 1)
(neg.f64 z)
(*.f64 (neg.f64 z) (/.f64 z z))
(neg.f64 z)
(.f64 (neg.f64 z) (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))))
(neg.f64 z)
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 z z)))
(neg.f64 z)
(*.f64 (/.f64 z z) (neg.f64 z))
(neg.f64 z)
(.f64 (/.f64 1 (neg.f64 z)) (.f64 z z))
(neg.f64 z)
(.f64 (.f64 z z) (/.f64 1 (neg.f64 z)))
(neg.f64 z)
(.f64 (.f64 z z) (/.f64 (/.f64 z z) (neg.f64 z)))
(neg.f64 z)
(.f64 (.f64 z z) (/.f64 (*.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)))
(neg.f64 z)
(.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z))
(neg.f64 z)
(*.f64 (/.f64 1 (/.f64 z z)) (neg.f64 z))
(neg.f64 z)
(.f64 (/.f64 1 (/.f64 z z)) (.f64 (neg.f64 z) (*.f64 (/.f64 z z) (/.f64 z z))))
(neg.f64 z)
(.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (/.f64 1 (neg.f64 z)) (*.f64 z z)))
(neg.f64 z)
(.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (/.f64 (/.f64 z z) (neg.f64 z)) (*.f64 z z)))
(neg.f64 z)
(.f64 (.f64 (.f64 z z) (.f64 z z)) (/.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)) (.f64 z z)))
(neg.f64 z)
(.f64 (.f64 (neg.f64 z) (*.f64 (/.f64 z z) (/.f64 z z))) (/.f64 1 (/.f64 z z)))
(neg.f64 z)
(.f64 (/.f64 (/.f64 z z) (neg.f64 z)) (.f64 z z))
(neg.f64 z)
(.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)) (*.f64 z z))
(neg.f64 z)
(.f64 (/.f64 (/.f64 1 (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z)))
(neg.f64 z)
(.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (/.f64 (/.f64 1 (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(neg.f64 z)
(.f64 (/.f64 (/.f64 (/.f64 z z) (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z)))
(neg.f64 z)
(.f64 (/.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))
(neg.f64 z)
(.f64 (/.f64 (/.f64 (/.f64 1 (neg.f64 z)) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(neg.f64 z)
(.f64 (/.f64 -1 z) (.f64 z z))
(neg.f64 z)
(.f64 (/.f64 (/.f64 1 (/.f64 z z)) (neg.f64 z)) (.f64 z z))
(neg.f64 z)
(/.f64 z -1)
(neg.f64 z)
(/.f64 (neg.f64 z) 1)
(neg.f64 z)
(/.f64 (neg.f64 z) (/.f64 z z))
(neg.f64 z)
(/.f64 (neg.f64 (+.f64 z z)) 2)
(neg.f64 z)
(/.f64 (+.f64 z z) -2)
(neg.f64 z)
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)
(neg.f64 z)

localize336.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	7.9b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.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))))
1.0ms	z	@	inf	(.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))))
1.0ms	z	@	-inf	(.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))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite73.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational_best-5`
1426×	`rational_best-2`
1426×	`rational_best-3`
1426×	`rational_best-1`
1424×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	179
1	262	167
2	803	143
3	3337	115

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

Inputs

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

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

(*.f64 (*.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))))

Outputs

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

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

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

simplify175.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1892×	`rational_best-simplify-54`
946×	`rational_best-simplify-49`
874×	`rational_best-simplify-44`
772×	`rational_best-simplify-43`
766×	`rational_best-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	187	3086
1	368	2886
2	826	2736
3	2706	2736
4	6366	2604

Stop Event

1×	node limit

Counts

78 → 99

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 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)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 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)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 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 (-.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))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 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 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 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)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 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 (-.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))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(+.f64 1 (+.f64 (neg.f64 z) -1))
(+.f64 (-.f64 1 z) -1)
(+.f64 (neg.f64 z) 0)
(+.f64 (+.f64 (neg.f64 z) 2) -2)
(+.f64 0 (neg.f64 z))
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (neg.f64 z))
(*.f64 z -1)
(*.f64 (neg.f64 z) 1)
(*.f64 (neg.f64 z) (/.f64 z z))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))))
(*.f64 (/.f64 z z) (neg.f64 z))
(.f64 (/.f64 1 (neg.f64 z)) (.f64 (neg.f64 z) (neg.f64 z)))
(.f64 (.f64 (neg.f64 z) (neg.f64 z)) (/.f64 1 (neg.f64 z)))
(.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z))
(/.f64 z -1)
(/.f64 (neg.f64 z) 1)
(/.f64 (neg.f64 z) (/.f64 z z))
(/.f64 (+.f64 z z) -2)
(/.f64 (*.f64 (neg.f64 z) 2) 2)
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)
(-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 0)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (/.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(*.f64 (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(.f64 (/.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
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(.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (/.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(/.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2)
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.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 (sqrt.f64 (.f64 2 (PI.f64))) (.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 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (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 2 (sqrt.f64 (.f64 2 (PI.f64))))) 2)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (.f64 2076511864126339/4000000000000 (pow.f64 z 2)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
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(+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)))))
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9999999999998099/10000000000000000
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(+.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))))))
9999999999998099/10000000000000000
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(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2)))))
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(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 15)))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64))))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 z (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (+.f64 (.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (sqrt.f64 15/2))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15))))
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(.f64 (/.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (/.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (/.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(/.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2)
(/.f64 (*.f64 2 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) 2)
(/.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))) 2)
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.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 (sqrt.f64 (.f64 2 (PI.f64))) (.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 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(/.f64 (.f64 (.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 2 (sqrt.f64 (.f64 2 (PI.f64))))) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (+.f64 1/2 (neg.f64 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 15/2 (neg.f64 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (-.f64 15/2 z)))))

eval3.3s (2.9%)

Compiler: Compiled 105688 to 86541 computations (18.1% saved)

prune344.0ms (0.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	919	26	945
Fresh	3	0	3
Picked	1	0	1
Done	4	0	4
Total	927	26	953

Error

0.1b

Counts

953 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 (+.f64 (neg.f64 z) 2) -2) 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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))) (+.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)))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 62984711258857409/10000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 z 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 1/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2)))))) (.f64 z (.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (exp.f64 -15/2)))))))) (+.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 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))) (+.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)))))
	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 15/2 z)) (.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z)))) (sqrt.f64 (.f64 2 (PI.f64)))) (+.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)))))
▶	3.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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)))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
	3.1b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) -11173853963059511/30000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
	1.6b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	62.6b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.5b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	2.3b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
▶	3.3b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
▶	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.8b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	2.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -41652288634797769/1000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	3.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 7713234287776531/30000000000000) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	3.1b	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	55.0b	(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Compiler

Compiled 4734 to 4072 computations (14% saved)

localize236.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))

Compiler

Compiled 607 to 507 computations (16.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`rational_best-5`
962×	`rational_best-4`
962×	`rational_best-2`
962×	`rational_best-3`
962×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	128
1	187	128
2	520	128
3	2098	120

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs

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

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

Outputs

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simplify246.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best-simplify-132`
1246×	`rational_best-simplify-54`
888×	`rational_best-simplify-43`
842×	`rational_best-simplify-2`
834×	`rational_best-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	3012
1	281	3012
2	1098	3012
3	3629	3012
4	7762	3012

Stop Event

1×	node limit

Counts

60 → 86

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
62984711258857409/10000000000000000
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9999999999998099/10000000000000000
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(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
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9999999999998099/10000000000000000
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(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
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(-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 0)
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Outputs
469507597606837/10000000000000
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(.f64 (/.f64 (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (/.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) 1)
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))
(/.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) 2) 2)
(/.f64 (*.f64 2 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))) 2)
(/.f64 (*.f64 2 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) 2)
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))))) 1)
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))

localize264.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
✓	1.0b	(*.f64 (PI.f64) 15)
	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
	7.9b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 740 to 648 computations (12.4% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite97.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`rational_best-simplify-57`
590×	`rational_best-simplify-43`
576×	`rational_best-simplify-44`
522×	`rational_best-simplify-78`
512×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	90	32
2	277	32
3	1135	32
4	4962	32

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1482×	`rational_best-simplify-47`
1460×	`rational_best-simplify-80`
1326×	`rational_best-simplify-78`
868×	`rational_best-simplify-82`
812×	`rational_best-simplify-132`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	320
1	81	320
2	167	320
3	448	320
4	2031	320
5	5368	320

Stop Event

1×	node limit

Counts

20 → 22

Calls

Call 1

Inputs
(+.f64 (*.f64 (PI.f64) 15) 0)
(+.f64 0 (*.f64 (PI.f64) 15))
(-.f64 (*.f64 (PI.f64) 15) 0)
(-.f64 0 (neg.f64 (*.f64 (PI.f64) 15)))
(/.f64 (*.f64 (PI.f64) 15) 1)
(/.f64 (.f64 (PI.f64) 15) (/.f64 (.f64 (PI.f64) 15) (*.f64 (PI.f64) 15)))
(/.f64 (*.f64 (PI.f64) 30) 2)
(/.f64 (neg.f64 (*.f64 (PI.f64) 30)) -2)
(pow.f64 (*.f64 (PI.f64) 15) 1)
(neg.f64 (neg.f64 (*.f64 (PI.f64) 15)))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 0)
(+.f64 0 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))))
(-.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 0)
(-.f64 0 (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 1)
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (*.f64 (exp.f64 -15/2) 2)) 2)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (*.f64 (exp.f64 -15/2) 2))) -2)
(pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 1)
(neg.f64 (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))

Outputs
(+.f64 (*.f64 (PI.f64) 15) 0)
(*.f64 (PI.f64) 15)
(+.f64 0 (*.f64 (PI.f64) 15))
(*.f64 (PI.f64) 15)
(-.f64 (*.f64 (PI.f64) 15) 0)
(*.f64 (PI.f64) 15)
(-.f64 0 (neg.f64 (*.f64 (PI.f64) 15)))
(*.f64 (PI.f64) 15)
(/.f64 (*.f64 (PI.f64) 15) 1)
(*.f64 (PI.f64) 15)
(/.f64 (.f64 (PI.f64) 15) (/.f64 (.f64 (PI.f64) 15) (*.f64 (PI.f64) 15)))
(*.f64 (PI.f64) 15)
(/.f64 (*.f64 (PI.f64) 30) 2)
(*.f64 (PI.f64) 15)
(/.f64 (neg.f64 (*.f64 (PI.f64) 30)) -2)
(*.f64 (PI.f64) 15)
(pow.f64 (*.f64 (PI.f64) 15) 1)
(*.f64 (PI.f64) 15)
(neg.f64 (neg.f64 (*.f64 (PI.f64) 15)))
(*.f64 (PI.f64) 15)
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 0)
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(+.f64 0 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(-.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 0)
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(-.f64 0 (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 1)
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (*.f64 (exp.f64 -15/2) 2)) 2)
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (*.f64 (exp.f64 -15/2) 2))) -2)
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) 1)
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
(neg.f64 (neg.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))

localize196.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
✓	0.9b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
✓	0.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 488 to 401 computations (17.8% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
1.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
0.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))

rewrite103.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational_best-simplify-54`
884×	`rational_best-simplify-57`
840×	`rational_best-simplify-1`
608×	`rational_best-5`
608×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	365
1	425	365
2	1191	353
3	4757	353

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

(+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 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(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 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z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) -11143853963059516703/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 1)))))

simplify276.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational_best-simplify-2`
768×	`rational_best-simplify-78`
662×	`rational_best-simplify-1`
650×	`rational_best-simplify-24`
642×	`rational_best-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	6322
1	461	6206
2	1063	6158
3	2281	6158
4	4374	6158
5	6800	6158

Stop Event

1×	node limit

Counts

66 → 124

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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))
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(+.f64 (.f64 (+.f64 (.f64 79879924295942057252968044520019/118540800000000000000000000000 (sqrt.f64 15/2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (.f64 469914340369417059206351952839/705600000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (pow.f64 z 2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 469914340369417059206351952839/705600000000000000000000000 (sqrt.f64 15/2))) z)))
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1106209385320415913103082059/4200000000000000000000000
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-11143853963059516703/30000000000000000
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(+.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 0)
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(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 2)) 2)
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Outputs
(.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))
(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))) (+.f64 -11143853963059516703/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))

localize202.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 551 to 439 computations (20.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`rational_best-simplify-57`
742×	`rational_best-simplify-43`
540×	`rational_best-5`
538×	`rational_best-4`
538×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	116	52
2	330	52
3	1226	52
4	5156	52

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 1 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (*.f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))))

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

simplify242.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-80`
1418×	`rational_best-simplify-129`
1366×	`rational_best-simplify-78`
1332×	`rational_best-simplify-94`
1188×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	2082
1	296	2082
2	900	2082
3	4037	2082

Stop Event

1×	node limit

Counts

66 → 74

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)))
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7713234287776531/30000000000000
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(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) 1)
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(neg.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))

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 (.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 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 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.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)))))
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(/.f64 4878157879447497/10000000000000 z)
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(-.f64 (+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
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7713234287776531/30000000000000
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(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(neg.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))

localize223.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	7.9b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 580 to 471 computations (18.8% saved)

eval2.5s (2.2%)

Compiler: Compiled 84580 to 67854 computations (19.8% saved)

prune928.0ms (0.8%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	829	13	842
Fresh	4	17	21
Picked	1	0	1
Done	4	0	4
Total	838	30	868

Error

0.1b

Counts

868 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 (+.f64 (neg.f64 z) 2) -2) 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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))) (+.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)))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 62984711258857409/10000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 z 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 1/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2)))))) (.f64 z (.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (exp.f64 -15/2)))))))) (+.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 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))) (+.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)))))
▶	3.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 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)))))
	3.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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)))))
▶	3.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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)))))
	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
	3.1b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) -11173853963059511/30000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
	1.6b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
▶	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	62.6b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.5b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	2.3b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.0b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
▶	3.2b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
	3.3b	(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	62.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.8b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	2.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -41652288634797769/1000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	3.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 7713234287776531/30000000000000) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.8b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	3.1b	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	55.0b	(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Compiler

Compiled 5216 to 4460 computations (14.5% saved)

localize408.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	4.2b	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))

Compiler

Compiled 584 to 457 computations (21.7% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))

rewrite102.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`rational_best-simplify-54`
744×	`rational_best-5`
744×	`rational_best-2`
744×	`rational_best-3`
744×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	346
1	492	346
2	1434	346
3	5891	346

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))

Outputs

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simplify538.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational_best-simplify-132`
940×	`rational_best-simplify-47`
736×	`rational_best-simplify-2`
610×	`rational_best-simplify-78`
522×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	6345
1	527	6073
2	1111	5803
3	3054	5803
4	4435	5803
5	7977	5803

Stop Event

1×	node limit

Counts

45 → 102

Calls

Call 1

Inputs
62984711258857409/10000000000000000
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(+.f64 62984711258857409/10000000000000000 (+.f64 (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2)) (.f64 3511974183497980887/10000000000000000 z)))
(+.f64 62984711258857409/10000000000000000 (+.f64 (.f64 2388617105473264849317/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2)) (*.f64 3511974183497980887/10000000000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 149345306896794279/200000000000000 (/.f64 1 z)))
(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 274927735335792123/40000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 149345306896794279/200000000000000 (/.f64 1 z)))
(+.f64 (.f64 149345306896794279/200000000000000 (/.f64 1 z)) (+.f64 (.f64 19885451724624387/8000000000000 (/.f64 1 (pow.f64 z 2))) 9999999999998099/10000000000000000))
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Outputs
62984711258857409/10000000000000000
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(+.f64 62984711258857409/10000000000000000 (+.f64 (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2)) (.f64 3511974183497980887/10000000000000000 z)))
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(+.f64 (.f64 3511974183497980887/10000000000000000 z) (+.f64 62984711258857409/10000000000000000 (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2))))
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(+.f64 (+.f64 (.f64 3511974183497980887/10000000000000000 z) (.f64 103293682989431159673/200000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 2388617105473264849317/4000000000000000000 (pow.f64 z 3)) 62984711258857409/10000000000000000))
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(.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z)))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(/.f64 (.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) 2)) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z)))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z)))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

localize306.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))
	1.0b	(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
	1.0b	(*.f64 (PI.f64) 15)
	7.9b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 513 to 444 computations (13.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`rational_best-5`
1744×	`rational_best-4`
1744×	`rational_best-2`
1744×	`rational_best-3`
1744×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	80	25
2	235	19
3	910	17
4	3682	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 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 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)))) (#(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 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)))))

simplify150.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best-simplify-80`
1020×	`rational_best-simplify-129`
976×	`rational_best-simplify-78`
940×	`rational_best-simplify-2`
908×	`rational_best-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	787
1	152	787
2	275	787
3	993	787
4	2150	787
5	4328	787

Stop Event

1×	node limit

Counts

29 → 40

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 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(.f64 (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))
(.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(.f64 (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(.f64 (/.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)

Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/90000000000000 z))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (.f64 7713234287776531/90000000000000 z)))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) (.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 (.f64 7713234287776531/90000000000000 z) (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/90000000000000 z)) (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) (+.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 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3)))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4)))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 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 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3)))) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4)))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(+.f64 0 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 0)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(.f64 (/.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))
(pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) 1)
(/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))

localize342.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
	0.9b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
✓	1.0b	(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))

Compiler

Compiled 463 to 381 computations (17.7% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite335.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`rational_best-simplify-57`
736×	`rational_best-simplify-80`
590×	`rational_best-simplify-44`
558×	`rational_best-simplify-43`
514×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	90	36
2	278	36
3	1129	36
4	4801	36

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1656×	`rational_best-simplify-132`
1138×	`rational_best-simplify-54`
982×	`rational_best-simplify-80`
906×	`rational_best-simplify-78`
866×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	884
1	129	884
2	272	884
3	1007	884
4	3397	884

Stop Event

1×	node limit

Counts

34 → 43

Calls

Call 1

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

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

localize700.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))
	1.0b	(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
	1.0b	(*.f64 (PI.f64) 15)
	7.9b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 623 to 532 computations (14.6% saved)

localize498.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 576 to 476 computations (17.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))

rewrite330.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`rational_best-simplify-54`
1018×	`rational_best-simplify-2`
816×	`rational_best-simplify-57`
572×	`rational_best-5`
570×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	362
1	403	362
2	1106	362
3	4573	362

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (/.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 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simplify481.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1086×	`rational_best-simplify-1`
886×	`rational_best-simplify-2`
682×	`rational_best-simplify-78`
650×	`rational_best-simplify-24`
646×	`rational_best-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	5832
1	385	5760
2	922	5760
3	2173	5760
4	4193	5760
5	6326	5760

Stop Event

1×	node limit

Counts

48 → 93

Calls

Call 1

Inputs
9876869457595968283/37500000000000000
(+.f64 9876869457595968283/37500000000000000 (*.f64 131068851705067315609/300000000000000000 z))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (.f64 131068851705067315609/300000000000000000 z)))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (+.f64 (.f64 131068851705067315609/300000000000000000 z) (*.f64 65521081538557082921549/108000000000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 305729039980199811/12500000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 4313565145417084893/25000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 305729039980199811/12500000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 4313565145417084893/25000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 305729039980199811/12500000000000000 (/.f64 1 z)) (*.f64 1593222904362722517/25000000000000000 (/.f64 1 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 305729039980199811/12500000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 4313565145417084893/25000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 305729039980199811/12500000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 4313565145417084893/25000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 305729039980199811/12500000000000000 (/.f64 1 z)) (*.f64 1593222904362722517/25000000000000000 (/.f64 1 (pow.f64 z 3)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2)))) (pow.f64 z 2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (*.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2))))))
(+.f64 (.f64 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))))) (pow.f64 z 3)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2)))) (pow.f64 z 2)) (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))))))
(*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 2))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 2))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3))) (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) z)) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) (pow.f64 z 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) z)) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) (pow.f64 z 2))) (+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))) (pow.f64 z 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 0)
(*.f64 1 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 1)
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(/.f64 (*.f64 2 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) 2)
(pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 1)
(+.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)
(+.f64 0 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(-.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 0)
(/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 2 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)

Outputs
9876869457595968283/37500000000000000
(+.f64 9876869457595968283/37500000000000000 (*.f64 131068851705067315609/300000000000000000 z))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (.f64 131068851705067315609/300000000000000000 z)))
(+.f64 (.f64 131068851705067315609/300000000000000000 z) (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) 9876869457595968283/37500000000000000))
(+.f64 (.f64 131068851705067315609/300000000000000000 z) (+.f64 9876869457595968283/37500000000000000 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2))))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (+.f64 (.f64 131068851705067315609/300000000000000000 z) (*.f64 65521081538557082921549/108000000000000000000 (pow.f64 z 3)))))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 131068851705067315609/300000000000000000 z) (+.f64 (.f64 65521081538557082921549/108000000000000000000 (pow.f64 z 3)) (*.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)))))
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))

eval4.1s (3.6%)

Compiler: Compiled 74927 to 60127 computations (19.8% saved)

prune1.7s (1.5%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	819	25	844
Fresh	11	14	25
Picked	1	0	1
Done	4	0	4
Total	835	39	874

Error

0.1b

Counts

874 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))) 1))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))
	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 (neg.f64 z) 2) -2) 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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))) (+.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)))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 62984711258857409/10000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	3.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 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 (neg.f64 z) 8)))))
▶	3.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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)))))
	3.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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)))))
	3.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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)))))
	62.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
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	3.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 7713234287776531/30000000000000) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	1.8b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	0.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
	3.1b	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))

Compiler

Compiled 6322 to 5382 computations (14.9% saved)

localize258.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))
	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(/.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))

Compiler

Compiled 636 to 521 computations (18.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite90.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best-simplify-57`
802×	`rational_best-simplify-82`
690×	`rational_best-simplify-80`
618×	`rational_best-simplify-49`
494×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	79	19
2	242	19
3	982	19
4	4157	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify202.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

964×	`rational_best-simplify-2`
640×	`rational_best-simplify-80`
582×	`rational_best-simplify-49`
564×	`rational_best-simplify-78`
548×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	570
1	130	570
2	325	570
3	1347	570
4	2788	570
5	5575	570

Stop Event

1×	node limit

Counts

30 → 31

Calls

Call 1

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

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

localize52.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 38 computations (36.7% saved)

series5.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

1.0ms

-inf

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

rewrite266.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational_best-5`
1060×	`rational_best-4`
1060×	`rational_best-2`
1060×	`rational_best-3`
1060×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	116
1	156	116
2	520	116
3	2235	116

Stop Event

1×	node limit

Counts

4 → 28

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 15 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 15 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 15 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 15 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 15 (PI.f64)) (/.f64 (.f64 15 (PI.f64)) (.f64 15 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 30) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15 (PI.f64)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) (/.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)))))

simplify155.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational_best-simplify-82`
1154×	`rational_best-simplify-132`
1090×	`rational_best-simplify-80`
960×	`rational_best-simplify-78`
910×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	2016
1	236	1878
2	514	1826
3	1273	1814
4	3737	1814
5	6915	1814

Stop Event

1×	node limit

Counts

40 → 59

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/36 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))) (.f64 1/120 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/720 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/36 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))) (.f64 1/120 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3))))))) (.f64 -1/5040 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 5))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/36 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))) (.f64 1/120 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 15 (PI.f64)) 0)
(+.f64 0 (*.f64 15 (PI.f64)))
(-.f64 (*.f64 15 (PI.f64)) 0)
(/.f64 (*.f64 15 (PI.f64)) 1)
(/.f64 (.f64 15 (PI.f64)) (/.f64 (.f64 15 (PI.f64)) (*.f64 15 (PI.f64))))
(/.f64 (*.f64 (PI.f64) 30) 2)
(pow.f64 (*.f64 15 (PI.f64)) 1)
(+.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))) 0)
(+.f64 0 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))))
(-.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))) 0)
(/.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))) 1)
(/.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) (/.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 15 (PI.f64))))) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000)) 2)
(pow.f64 (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 15 (PI.f64))))) 1)
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 0)
(+.f64 0 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))
(-.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 0)
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 1)
(/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64))))))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (*.f64 15 (PI.f64))) 2)) 2)
(pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) 1)
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 0)
(+.f64 0 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 0)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000)))))
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000))) 2)
(pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) z)) (pow.f64 (sqrt.f64 (PI.f64)) 5))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (*.f64 (sqrt.f64 15) z)))))
(+.f64 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (pow.f64 (sqrt.f64 (PI.f64)) 5)) (*.f64 (sqrt.f64 15) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 (*.f64 15 (pow.f64 (PI.f64) 5)))))))
(+.f64 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 (*.f64 15 (pow.f64 (PI.f64) 5)))))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/36 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))) (.f64 1/120 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (pow.f64 (PI.f64) 3)))))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
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(+.f64 0 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 0)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/2100000000000000000000000))) 2)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.9b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 121 to 81 computations (33.1% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
1.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
1.0ms	z	@	0	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
0.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite152.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`rational_best-5`
1330×	`rational_best-2`
1330×	`rational_best-3`
1330×	`rational_best-1`
1328×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	203	141
2	667	141
3	2866	141

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

(*.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)))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))))

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

((#(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))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(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))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))) 0)))) (#(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))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)))) (#(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))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))))))) (#(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))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 9999999999998099/10000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)))))

simplify377.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

914×	`rational_best-simplify-82`
894×	`rational_best-simplify-80`
870×	`rational_best-simplify-44`
868×	`rational_best-simplify-78`
824×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	203	4644
1	433	4248
2	854	4046
3	2171	4046
4	3372	4010
5	5800	4010

Stop Event

1×	node limit

Counts

60 → 101

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 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
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(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)
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Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (+.f64 (.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (sqrt.f64 15/2))) z))
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(.f64 (exp.f64 -15/2) (+.f64 (.f64 z (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)))) (sqrt.f64 15/2)))
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(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 9999999999998099/10000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))))) 1)
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 9999999999998099/10000000000000000 (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))

localize615.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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))))
	1.0b	(.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15)))
	1.0b	(*.f64 (PI.f64) 15)
	7.9b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 542 to 461 computations (14.9% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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))))

1.0ms

(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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))))

1.0ms

-inf

(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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))))

rewrite295.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational_best-simplify-54`
874×	`rational_best-simplify-57`
758×	`rational_best-simplify-1`
600×	`rational_best-5`
598×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	215
1	418	215
2	1138	179
3	4674	169

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)))))

simplify265.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1770×	`rational_best-simplify-132`
1622×	`rational_best-simplify-80`
1478×	`rational_best-simplify-78`
1134×	`rational_best-simplify-1`
976×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	2461
1	203	2461
2	379	2293
3	942	2033
4	2981	2033
5	4352	2033
6	6981	2033

Stop Event

1×	node limit

Counts

19 → 57

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (.f64 247802182539585205286351952839/705600000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 61222503038236181523688044520019/118540800000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (.f64 247802182539585205286351952839/705600000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 61222503038236181523688044520019/118540800000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 3) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (.f64 247802182539585205286351952839/705600000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))))))
(.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9151757080597036297/30000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9151757080597036297/30000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))))))
(.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9151757080597036297/30000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 z (sqrt.f64 15))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9151757080597036297/30000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))) (.f64 2076511864126339/4000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15))) (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)
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(-.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)
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Outputs
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(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (+.f64 (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 (pow.f64 z 2) 2076511864126339/4000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)))) (+.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)))))))
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(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (+.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 (pow.f64 z 2) 2076511864126339/4000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(/.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 z 904338909853211/2500000000000) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) 2))) 2)
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(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (+.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 (pow.f64 z 2) 2076511864126339/4000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))
(pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 9151757080597036297/30000000000000000) (/.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)
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (+.f64 (+.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 (pow.f64 z 2) 2076511864126339/4000000000000))) (/.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))))))
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(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (+.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (*.f64 (pow.f64 z 2) 2076511864126339/4000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (neg.f64 z) 7)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8))))))

localize461.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 557 to 449 computations (19.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))
0.0ms	z	@	inf	(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))

rewrite97.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`rational_best-simplify-54`
860×	`rational_best-simplify-57`
600×	`rational_best-5`
598×	`rational_best-4`
598×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	346
1	422	346
2	1172	346
3	4781	346

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))

(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))

Outputs

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simplify254.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1076×	`rational_best-simplify-1`
884×	`rational_best-simplify-2`
682×	`rational_best-simplify-78`
650×	`rational_best-simplify-24`
646×	`rational_best-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	5469
1	391	5437
2	914	5437
3	2158	5437
4	4175	5437
5	6302	5437

Stop Event

1×	node limit

Counts

47 → 92

Calls

Call 1

Inputs
9876869457595968283/37500000000000000
(+.f64 9876869457595968283/37500000000000000 (*.f64 131068851705067315609/300000000000000000 z))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (.f64 131068851705067315609/300000000000000000 z)))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (+.f64 (.f64 131068851705067315609/300000000000000000 z) (*.f64 65521081538557082921549/108000000000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 305729039980199811/12500000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 4313565145417084893/25000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 305729039980199811/12500000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 4313565145417084893/25000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 305729039980199811/12500000000000000 (/.f64 1 z)) (*.f64 1593222904362722517/25000000000000000 (/.f64 1 (pow.f64 z 3)))))
9999999999998099/10000000000000000
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(/.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (/.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))))
(/.f64 (*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) 2) 2)
(pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))) 1)
(+.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) 0)
(+.f64 0 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))
(-.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) 0)
(/.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) 1)
(/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
(/.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) 2)) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) 1)

Outputs
9876869457595968283/37500000000000000
(+.f64 9876869457595968283/37500000000000000 (*.f64 131068851705067315609/300000000000000000 z))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2)) (.f64 131068851705067315609/300000000000000000 z)))
(+.f64 9876869457595968283/37500000000000000 (+.f64 (.f64 131068851705067315609/300000000000000000 z) (.f64 367898832774098786021/675000000000000000 (pow.f64 z 2))))
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(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) 1)
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))

eval1.0s (0.9%)

Compiler: Compiled 52035 to 41294 computations (20.6% saved)

prune426.0ms (0.4%)

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	642	16	658
Fresh	9	25	34
Picked	0	1	1
Done	3	1	4
Total	654	43	697

Error

0.0b

Counts

697 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	3.6b	(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
	2.9b	(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))) 1))
	61.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 z 2) (.f64 2076511864126339/4000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))
	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 (neg.f64 z) 2) -2) 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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))) (+.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)))))
	2.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	3.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 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 (neg.f64 z) 8)))))
	3.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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 (neg.f64 z) 8)))))
	3.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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)))))
	62.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	3.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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)))))
	3.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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)))))
	3.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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)))))
	3.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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)))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 z (+.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))) (.f64 (pow.f64 z 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000))))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
✓	55.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
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	55.1b	(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))

Compiler

Compiled 2868 to 2442 computations (14.9% saved)

regimes371.0ms (0.3%)

Counts

88 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.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 (-.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 (neg.f64 z) 2) -2) 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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))) (+.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) -11173853963059511/30000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (*.f64 4 (PI.f64))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (*.f64 4 (PI.f64))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 z 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 1/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2)))))) (.f64 z (.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (exp.f64 -15/2)))))))) (+.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 z (+.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))) (.f64 (pow.f64 z 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (neg.f64 (log.f64 15/2)) 1/15) 2))))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (-.f64 (neg.f64 (log.f64 15/2)) 1/15)) (.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000))))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))))

Outputs

(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 4 (PI.f64))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Calls

2 calls:

109.0ms

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

83.0ms

Results

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

Compiler

Compiled 6831 to 5469 computations (19.9% saved)

regimes348.0ms (0.3%)

Counts

85 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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)))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.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 (-.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 (neg.f64 z) 2) -2) 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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))) (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))))) (+.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 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) -11173853963059511/30000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (*.f64 4 (PI.f64))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

2 calls:

148.0ms

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

36.0ms

Results

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

Compiler

Compiled 6493 to 5179 computations (20.2% saved)

regimes231.0ms (0.2%)

Counts

71 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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)))))
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(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 4797 to 3783 computations (21.1% saved)

regimes311.0ms (0.3%)

Counts

59 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 z 2) (.f64 2076511864126339/4000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 z) 4)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Calls

1 calls:

142.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 3666 to 2877 computations (21.5% saved)

regimes425.0ms (0.4%)

Counts

51 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 7713234287776531/30000000000000) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Calls

1 calls:

112.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2930 to 2297 computations (21.6% saved)

regimes245.0ms (0.2%)

Counts

50 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 z 2) (.f64 2076511864126339/4000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9999999999998099/10000000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9876869457595968283/37500000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9876869457595968283/37500000000000000 (.f64 131068851705067315609/300000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (-.f64 9999999999998099/10000000000000000 (.f64 305729039980199811/12500000000000000 (/.f64 1 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 62984711258857409/10000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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 (neg.f64 z) 8)))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -41652288634797769/1000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -41652288634797769/1000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 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 (neg.f64 z) 8)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (-.f64 (.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 7713234287776531/30000000000000) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) -11173853963059511/30000000000000) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 7713234287776531/30000000000000) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 2840 to 2228 computations (21.5% saved)

regimes406.0ms (0.4%)

Counts

43 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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)))))
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(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 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 (neg.f64 z) 8)))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Calls

1 calls:

192.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 2236 to 1740 computations (22.2% saved)

regimes78.0ms (0.1%)

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 z 2) (.f64 2076511864126339/4000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9999999999998099/10000000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9876869457595968283/37500000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9876869457595968283/37500000000000000 (.f64 131068851705067315609/300000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (-.f64 9999999999998099/10000000000000000 (.f64 305729039980199811/12500000000000000 (/.f64 1 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 62984711258857409/10000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.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 (neg.f64 z) 8)))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -41652288634797769/1000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (*.f64 2076511864126339/4000000000000 (pow.f64 z 2))) 7713234287776531/30000000000000) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 32821537176690739/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -41652288634797769/1000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (+.f64 -11173853963059511/30000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
2.0b	1	`z`

Compiler

Compiled 1988 to 1543 computations (22.4% saved)

regimes51.0ms (0%)

Counts

32 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
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(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 z 2) (.f64 2076511864126339/4000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9999999999998099/10000000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9876869457595968283/37500000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9876869457595968283/37500000000000000 (.f64 131068851705067315609/300000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (-.f64 9999999999998099/10000000000000000 (.f64 305729039980199811/12500000000000000 (/.f64 1 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 62984711258857409/10000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs

(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9876869457595968283/37500000000000000 (*.f64 131068851705067315609/300000000000000000 z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.5b	1	`z`

Compiler

Compiled 1370 to 1051 computations (23.3% saved)

regimes45.0ms (0%)

Counts

29 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)))))
(.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)))) (.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 z 2) (.f64 2076511864126339/4000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 469914340369417059206351952839/705600000000000000000000000))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9999999999998099/10000000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 9876869457595968283/37500000000000000)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
2.7b	1	`z`

Compiler

Compiled 1197 to 918 computations (23.3% saved)

regimes29.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 15 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 7713234287776531/30000000000000) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)) (/.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 (exp.f64 -15/2) (sqrt.f64 (.f64 (PI.f64) 15))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 (/.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 z) 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 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 15))) (+.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 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.9b	1	`z`

Compiler

Compiled 727 to 586 computations (19.4% saved)

regimes5.0ms (0%)

Accuracy

Total -52.1b remaining (-1751.1%)

Threshold costs -52.1b (-1751.1%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
3.0b	1	`z`

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify34.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	2545

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (*.f64 4 (PI.f64))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9876869457595968283/37500000000000000 (.f64 131068851705067315609/300000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))

Outputs
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (.f64 (PI.f64) (*.f64 4 (PI.f64))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 4 (neg.f64 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (neg.f64 z) 5))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (+.f64 3 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (.f64 z -105381455914863113/10000000000000000) 41652288634797769/1000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 62984711258857409/10000000000000000 (*.f64 z 3511974183497980887/10000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 9876869457595968283/37500000000000000 (.f64 131068851705067315609/300000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) z) (sqrt.f64 (PI.f64))))

Compiler

Compiled 828 to 701 computations (15.3% saved)

soundness431.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

2016×	`rational_best-simplify-1`
1774×	`rational_best-simplify-102`
1718×	`rational_best-simplify-97`
1498×	`rational_best-simplify-2`
1428×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	377
1	105	365
2	179	311
3	345	293
4	816	293
5	2226	293
6	2803	293
7	3050	293
8	3349	293
9	3773	293
10	4423	293
11	5697	293
12	6980	293
0	149	3103
1	272	3031
2	444	2971
3	842	2941
4	2695	2911
5	4130	2911
6	6268	2911

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 630 to 530 computations (15.9% saved)

end389.0ms (0.3%)

Compiler: Compiled 816 to 648 computations (20.6% saved)