Details

analyze532.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.1min (67.6%)

Results

1.0min	3973×	body	8192	exit
5.9s	8256×	body	256	valid
46.0ms	98×	body	256	unsamplable
43.0ms	91×	body	256	infinite

Bogosity

preprocess102.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1722×	`rational_best_oopsla_all_46_json_45_simplify-89`
1406×	`rational_best_oopsla_all_46_json_45_simplify-74`
1150×	`rational_best_oopsla_all_46_json_45_simplify-24`
782×	`rational_best_oopsla_all_46_json_45_simplify-82`
668×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	125	241
2	391	233
3	1623	229
4	7447	229
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify100.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational_best_oopsla_all_46_json_45_simplify-89`
1406×	`rational_best_oopsla_all_46_json_45_simplify-74`
1150×	`rational_best_oopsla_all_46_json_45_simplify-24`
782×	`rational_best_oopsla_all_46_json_45_simplify-82`
668×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	125	241
2	391	233
3	1623	229
4	7447	229

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval7.0ms (0%)

Compiler: Compiled 451 to 364 computations (19.3% saved)

prune35.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	5	5
Fresh	1	1
Picked	0	0
Done	0	0
Total	6	6

Error

0.7b

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))

Compiler

Compiled 910 to 768 computations (15.6% saved)

localize170.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 419 to 322 computations (23.2% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z))))
1.0ms	z	@	-inf	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z))))
0.0ms	z	@	inf	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

rewrite120.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational_best_oopsla_all_46_json_45_simplify-35`
766×	`rational_best_oopsla_all_46_json_45_simplify-10`
756×	`rational_best_oopsla_all_46_json_45_simplify-23`
742×	`rational_best_oopsla_all_46_json_45_simplify-30`
698×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	114
1	187	110
2	425	110
3	1553	110
4	6701	110

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

Outputs
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simplify162.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational_best_oopsla_all_46_json_45_simplify-72`
1172×	`rational_best_oopsla_all_46_json_45_simplify-7`
866×	`rational_best_oopsla_all_46_json_45_simplify-89`
738×	`rational_best_oopsla_all_46_json_45_simplify-24`
688×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	6895
1	1225	6769
2	4977	6769

Stop Event

1×	node limit

Counts

169 → 191

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)))))
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Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
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(+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) 469507597606837/10000000000000))
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(/.f64 5826188486005177/10000000000000 z)
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.f64 -1 (neg.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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(*.f64 (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
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(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

localize196.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
✓	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	6.9b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000)))

Compiler

Compiled 505 to 399 computations (21% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms	z	@	0	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms	z	@	0	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
0.0ms	z	@	-inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000)))

rewrite111.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`rational_best_oopsla_all_46_json_45_simplify-10`
748×	`rational_best_oopsla_all_46_json_45_simplify-30`
654×	`rational_best_oopsla_all_46_json-2`
654×	`rational_best_oopsla_all_46_json-1`
654×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	121
1	199	121
2	423	121
3	1474	121
4	6204	121

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))

Inputs

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

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

(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))

Outputs
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Outputs

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simplify119.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational_best_oopsla_all_46_json_45_simplify-49`
996×	`rational_best_oopsla_all_46_json_45_simplify-72`
870×	`rational_best_oopsla_all_46_json_45_simplify-7`
704×	`rational_best_oopsla_all_46_json_45_simplify-35`
704×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5560
1	967	5434
2	4228	5426

Stop Event

1×	node limit

Counts

106 → 134

Calls

Call 1

Inputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2))))
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 764331858712410001/1280000000000000 (pow.f64 z 3)) (*.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))))))
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(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))

Outputs
37970024701483599/10000000000000000
(+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000)
(+.f64 37970024701483599/10000000000000000 (*.f64 28055769969492049/80000000000000 z))
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (.f64 165237873984296417/320000000000000 (pow.f64 z 2))))
(+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 28055769969492049/80000000000000 z) (.f64 165237873984296417/320000000000000 (pow.f64 z 2))))
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 764331858712410001/1280000000000000 (pow.f64 z 3)) (*.f64 165237873984296417/320000000000000 (pow.f64 z 2)))))
(+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 (.f64 165237873984296417/320000000000000 (pow.f64 z 2)) (*.f64 764331858712410001/1280000000000000 (pow.f64 z 3)))))
(+.f64 (.f64 28055769969492049/80000000000000 z) (+.f64 37970024701483599/10000000000000000 (+.f64 (.f64 165237873984296417/320000000000000 (pow.f64 z 2)) (*.f64 764331858712410001/1280000000000000 (pow.f64 z 3)))))
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9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 7592338777626583/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2)))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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9999999999998099/10000000000000000
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(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 7592338777626583/10000000000000 (/.f64 1 z)) (+.f64 (.f64 25482181819714829/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 71858769653619757/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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371756020978964147/150000000000000000
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(*.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
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(.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 1 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
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(*.f64 -1 (neg.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
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(.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
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(*.f64 (neg.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) -1)
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(*.f64 (neg.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (neg.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
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(*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (neg.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
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(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 1)
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(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
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localize170.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 437 to 328 computations (24.9% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2)))
1.0ms	z	@	0	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2)))
0.0ms	z	@	-inf	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2)))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
0.0ms	z	@	inf	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite110.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best_oopsla_all_46_json_45_simplify-35`
756×	`rational_best_oopsla_all_46_json_45_simplify-23`
722×	`rational_best_oopsla_all_46_json_45_simplify-10`
696×	`rational_best_oopsla_all_46_json_45_simplify-30`
680×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	99
1	181	95
2	415	91
3	1519	91
4	6542	91

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs

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

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

(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

Outputs

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simplify116.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1604×	`rational_best_oopsla_all_46_json_45_simplify-13`
1218×	`rational_best_oopsla_all_46_json_45_simplify-49`
856×	`rational_best_oopsla_all_46_json_45_simplify-7`
702×	`rational_best_oopsla_all_46_json_45_simplify-89`
602×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	294	5308
1	971	5264
2	3911	5264

Stop Event

1×	node limit

Counts

136 → 155

Calls

Call 1

Inputs
469507597606837/10000000000000
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(/.f64 5826188486005177/10000000000000 z)
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(*.f64 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -1)
(*.f64 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (neg.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (.f64 2076511864126339/4000000000000 (pow.f64 z 2)))
(+.f64 469507597606837/10000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (.f64 2076511864126339/4000000000000 (pow.f64 z 2))))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (*.f64 904338909853211/2500000000000 z))))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))
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(/.f64 5826188486005177/10000000000000 z)
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12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
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(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(*.f64 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) -1)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (neg.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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localize647.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z))))

Compiler

Compiled 720 to 611 computations (15.1% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))
0.0ms	z	@	-inf	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational_best_oopsla_all_46_json_45_simplify-23`
1034×	`rational_best_oopsla_all_46_json_45_simplify-37`
946×	`rational_best_oopsla_all_46_json-2`
946×	`rational_best_oopsla_all_46_json-1`
946×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	135
1	207	115
2	503	107
3	2101	103

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z))))

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

(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))

Outputs

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simplify147.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1240×	`rational_best_oopsla_all_46_json_45_simplify-49`
1106×	`rational_best_oopsla_all_46_json_45_simplify-13`
938×	`rational_best_oopsla_all_46_json_45_simplify-89`
832×	`rational_best_oopsla_all_46_json_45_simplify-7`
816×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	8363
1	1267	8041
2	4720	8033

Stop Event

1×	node limit

Counts

141 → 184

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
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Outputs
479507597606835099/10000000000000000
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(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))) (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.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)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.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)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (neg.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.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)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (neg.f64 (exp.f64 (+.f64 z -15/2)))) (neg.f64 (neg.f64 (exp.f64 (+.f64 z -15/2))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 0 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (*.f64 0 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(-.f64 0 (*.f64 -1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 -1 (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

localize507.0ms (0.5%)

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))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	5.5b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series49.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	0	(.f64 (.f64 (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 1 z) 1)
0.0ms	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 (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))))

rewrite233.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational_best_oopsla_all_46_json_45_simplify-37`
1072×	`rational_best_oopsla_all_46_json_45_simplify-23`
970×	`rational_best_oopsla_all_46_json_45_simplify-13`
932×	`rational_best_oopsla_all_46_json-2`
932×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	143
1	186	107
2	498	99
3	2100	95

Stop Event

1×	node limit

Counts

3 → 118

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

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

simplify236.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational_best_oopsla_all_46_json_45_simplify-49`
984×	`rational_best_oopsla_all_46_json_45_simplify-89`
922×	`rational_best_oopsla_all_46_json_45_simplify-7`
836×	`rational_best_oopsla_all_46_json_45_simplify-24`
758×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	8436
1	1261	8242
2	5125	8226

Stop Event

1×	node limit

Counts

154 → 195

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 1 (*.f64 1 (+.f64 (neg.f64 z) -1)))
(+.f64 (-.f64 1 z) -1)
(+.f64 (neg.f64 z) 0)
(+.f64 (neg.f64 z) (*.f64 (neg.f64 z) 0))
(+.f64 (neg.f64 z) (*.f64 (/.f64 z z) 0))
(+.f64 (-.f64 2 z) -2)
(+.f64 0 (neg.f64 z))
(+.f64 -1 (-.f64 1 z))
(+.f64 (/.f64 z z) (*.f64 (/.f64 z z) (+.f64 (neg.f64 z) -1)))
(+.f64 -2 (-.f64 2 z))
(+.f64 (+.f64 (neg.f64 z) -1) 1)
(+.f64 (.f64 (-.f64 1 z) (/.f64 z z)) (.f64 (/.f64 z z) -1))
(+.f64 (*.f64 0 (/.f64 z z)) (neg.f64 z))
(+.f64 (.f64 -1 (/.f64 z z)) (.f64 (/.f64 z z) (-.f64 1 z)))
(+.f64 (.f64 (-.f64 2 z) (/.f64 z z)) (.f64 (/.f64 z z) -2))
(*.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 (neg.f64 z) (.f64 (/.f64 z z) (/.f64 z z)))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) (/.f64 (/.f64 z z) (neg.f64 z))))
(*.f64 -1 z)
(*.f64 (/.f64 z z) (neg.f64 z))
(.f64 (/.f64 z z) (.f64 (neg.f64 z) (/.f64 1 (/.f64 z z))))
(.f64 (/.f64 z z) (.f64 z (/.f64 -1 (/.f64 z z))))
(.f64 (/.f64 z z) (.f64 (neg.f64 z) (/.f64 (/.f64 z z) (/.f64 z z))))
(.f64 (.f64 (neg.f64 z) (/.f64 1 (neg.f64 z))) (neg.f64 z))
(.f64 (.f64 (/.f64 z z) (/.f64 z z)) (neg.f64 z))
(/.f64 z -1)
(/.f64 (neg.f64 z) 1)
(/.f64 (neg.f64 z) (/.f64 z z))
(/.f64 (neg.f64 z) (/.f64 (/.f64 z z) (/.f64 z z)))
(neg.f64 z)
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 0)
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 0))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 0))
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(-.f64 0 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (neg.f64 (exp.f64 (+.f64 z -15/2)))))
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(-.f64 0 (.f64 -1 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(-.f64 0 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (neg.f64 (exp.f64 (+.f64 z -15/2))))))
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(-.f64 (.f64 0 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(-.f64 (.f64 0 (neg.f64 (neg.f64 (exp.f64 (+.f64 z -15/2))))) (.f64 (neg.f64 (neg.f64 (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.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)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))) (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.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)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
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(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (neg.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (neg.f64 (exp.f64 (+.f64 z -15/2)))) (neg.f64 (neg.f64 (exp.f64 (+.f64 z -15/2))))))

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

eval4.4s (4.4%)

Compiler: Compiled 152048 to 122864 computations (19.2% saved)

prune956.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1329	16	1345
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1334	16	1350

Error

0.2b

Counts

1350 → 16

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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (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)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.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 (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)))))
	0.9b	(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.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)))))
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
▶	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
▶	0.7b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))
	2.0b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))

Compiler

Compiled 2666 to 2242 computations (15.9% saved)

localize354.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 413 to 316 computations (23.5% saved)

localize193.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
✓	1.0b	(+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 347 to 268 computations (22.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
1.0ms	z	@	-inf	(+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
1.0ms	z	@	-inf	(.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
1.0ms	z	@	inf	(.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
0.0ms	z	@	0	(+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))

rewrite165.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational_best_oopsla_all_46_json-2`
1176×	`rational_best_oopsla_all_46_json-1`
1176×	`rational_best_oopsla_all_46_json-4`
1176×	`rational_best_oopsla_all_46_json-3`
1176×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	222
1	218	222
2	531	222
3	2395	222

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs

(+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))

(*.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 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z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2))))) (neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2)))))))))))

simplify395.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best_oopsla_all_46_json_45_simplify-49`
1122×	`rational_best_oopsla_all_46_json_45_simplify-89`
1072×	`rational_best_oopsla_all_46_json_45_simplify-7`
1042×	`rational_best_oopsla_all_46_json_45_simplify-35`
968×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	373	17575
1	1342	17305
2	5658	17305

Stop Event

1×	node limit

Counts

113 → 189

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 (*.f64 20274016074944445382117317613/235200000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)
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37970024701483599/10000000000000000
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(-.f64 37970024701483599/10000000000000000 (+.f64 (.f64 14847972795311829615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 19592305277400178410362579/25000000000000000000000 (/.f64 1 z))))
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37970024701483599/10000000000000000
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 (*.f64 20274016074944445382117317613/235200000000000000000000000 z) 1106209385320415913103082059/4200000000000000000000000)
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(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 20274016074944445382117317613/235200000000000000000000000 z) (.f64 3398203381198824980448044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 20274016074944445382117317613/235200000000000000000000000 z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 3398203381198824980448044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 63345277064230784379214538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
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localize199.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	6.9b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000)))

Compiler

Compiled 448 to 352 computations (21.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))

1.0ms

-inf

(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))

1.0ms

inf

(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))

rewrite297.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`rational_best_oopsla_all_46_json-2`
1480×	`rational_best_oopsla_all_46_json-1`
1480×	`rational_best_oopsla_all_46_json-4`
1480×	`rational_best_oopsla_all_46_json-3`
1414×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	167
1	279	167
2	683	167
3	2996	167

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

Inputs

(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))

Outputs

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simplify456.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best_oopsla_all_46_json_45_simplify-89`
1198×	`rational_best_oopsla_all_46_json_45_simplify-49`
1114×	`rational_best_oopsla_all_46_json_45_simplify-24`
1082×	`rational_best_oopsla_all_46_json_45_simplify-7`
1042×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	393	21578
1	1487	21320
2	5985	21320

Stop Event

1×	node limit

Counts

104 → 157

Calls

Call 1

Inputs
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Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
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(.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))

localize370.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))
	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))
	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 580 to 484 computations (16.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))

0.0ms

inf

(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))

0.0ms

-inf

(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational_best_oopsla_all_46_json-2`
1632×	`rational_best_oopsla_all_46_json-1`
1632×	`rational_best_oopsla_all_46_json-4`
1632×	`rational_best_oopsla_all_46_json-3`
1004×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	105	49
2	207	49
3	643	49
4	2957	49

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4)))

Outputs

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simplify140.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1602×	`rational_best_oopsla_all_46_json_45_simplify-13`
914×	`rational_best_oopsla_all_46_json_45_simplify-7`
854×	`rational_best_oopsla_all_46_json_45_simplify-72`
632×	`rational_best_oopsla_all_46_json_45_simplify-49`
604×	`rational_best_oopsla_all_46_json_45_simplify-82`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	2073
1	340	1825
2	2446	1825
3	7554	1825

Stop Event

1×	node limit

Counts

43 → 49

Calls

Call 1

Inputs
7827144361880981797/30000000000000000
(+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (.f64 314207804027640689/720000000000000 z) (.f64 222980468271960011/8640000000000000 (pow.f64 z 2))))
(+.f64 7827144361880981797/30000000000000000 (+.f64 (.f64 314207804027640689/720000000000000 z) (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)))))
(*.f64 904338909853211/2500000000000 z)
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(-.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (.f64 47576671969241/80000000000 (/.f64 1 z)))
(-.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(*.f64 904338909853211/2500000000000 z)
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(-.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (.f64 47576671969241/80000000000 (/.f64 1 z)))
(-.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
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Outputs
7827144361880981797/30000000000000000
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(+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(neg.f64 (neg.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (/.f64 (/.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (/.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))
(neg.f64 (neg.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(neg.f64 (neg.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 904338909853211/2500000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(neg.f64 (neg.f64 (+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(+.f64 (*.f64 z 904338909853211/2500000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))

localize638.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
	5.5b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 798 to 689 computations (13.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`rational_best_oopsla_all_46_json-2`
1926×	`rational_best_oopsla_all_46_json-1`
1926×	`rational_best_oopsla_all_46_json-4`
1926×	`rational_best_oopsla_all_46_json-3`
936×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	75	42
2	198	42
3	774	42
4	3927	42

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1634×	`rational_best_oopsla_all_46_json_45_simplify-37`
1528×	`rational_best_oopsla_all_46_json_45_simplify-13`
1056×	`rational_best_oopsla_all_46_json_45_simplify-72`
882×	`rational_best_oopsla_all_46_json_45_simplify-7`
858×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2393
1	518	2349
2	2734	2341

Stop Event

1×	node limit

Counts

69 → 85

Calls

Call 1

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

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

eval3.9s (3.9%)

Compiler: Compiled 147330 to 117401 computations (20.3% saved)

prune1.3s (1.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1340	10	1350
Fresh	4	7	11
Picked	1	0	1
Done	2	2	4
Total	1347	19	1366

Error

0.2b

Counts

1366 → 19

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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (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 (neg.f64 z) 8)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 (-.f64 2 z) -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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	0.9b	(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.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)))))
▶	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
✓	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
▶	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
▶	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
▶	1.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
✓	0.7b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.8b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 12777243138120953/60000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))

Compiler

Compiled 2656 to 2223 computations (16.3% saved)

localize370.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
✓	1.0b	(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 613 to 492 computations (19.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
0.0ms	z	@	0	(+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	inf	(+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite127.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`rational_best_oopsla_all_46_json_45_simplify-7`
724×	`rational_best_oopsla_all_46_json_45_simplify-82`
706×	`rational_best_oopsla_all_46_json_45_simplify-10`
694×	`rational_best_oopsla_all_46_json_45_simplify-30`
632×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	153
1	188	153
2	400	153
3	1392	153
4	6754	153

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

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

(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))

(+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

Outputs

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simplify223.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1392×	`rational_best_oopsla_all_46_json_45_simplify-72`
1366×	`rational_best_oopsla_all_46_json_45_simplify-49`
1166×	`rational_best_oopsla_all_46_json_45_simplify-35`
978×	`rational_best_oopsla_all_46_json_45_simplify-23`
704×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	279	6059
1	982	6039
2	4779	6039

Stop Event

1×	node limit

Counts

131 → 159

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))))))
-1735176160791501506896917941/4200000000000000000000000
(-.f64 (*.f64 -56359610797016306077882682387/235200000000000000000000000 z) 1735176160791501506896917941/4200000000000000000000000)
(-.f64 (+.f64 (.f64 -15598129229529127090295891479981/118540800000000000000000000000 (pow.f64 z 2)) (.f64 -56359610797016306077882682387/235200000000000000000000000 z)) 1735176160791501506896917941/4200000000000000000000000)
(-.f64 (+.f64 (.f64 -15598129229529127090295891479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 -56359610797016306077882682387/235200000000000000000000000 z) (*.f64 -1391323263182837212709683028830001/19914854400000000000000000000000 (pow.f64 z 3)))) 1735176160791501506896917941/4200000000000000000000000)
(*.f64 446800080651085577/900000000000000000 z)
(+.f64 32609751311183477/9375000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 (.f64 16610770174298936211637421/25000000000000000000000 (/.f64 1 z)) (+.f64 32609751311183477/9375000000000000 (.f64 446800080651085577/900000000000000000 z)))
(+.f64 32609751311183477/9375000000000000 (+.f64 (.f64 16610770174298936211637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 5692301204158221660897167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 446800080651085577/900000000000000000 z))))
(*.f64 446800080651085577/900000000000000000 z)
(+.f64 32609751311183477/9375000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 (.f64 16610770174298936211637421/25000000000000000000000 (/.f64 1 z)) (+.f64 32609751311183477/9375000000000000 (.f64 446800080651085577/900000000000000000 z)))
(+.f64 32609751311183477/9375000000000000 (+.f64 (.f64 16610770174298936211637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 5692301204158221660897167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 446800080651085577/900000000000000000 z))))
38937927459861619147/150000000000000000
(+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000)
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(+.f64 (.f64 25859714319472131859/300000000000000000 z) (+.f64 38937927459861619147/150000000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(*.f64 446800080651085577/900000000000000000 z)
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(-.f64 (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z)) (.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z)) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(*.f64 446800080651085577/900000000000000000 z)
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(-.f64 (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z)) (.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z)) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 z)) (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
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(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 0)
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(-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0))
(-.f64 0 (*.f64 -1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
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(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 1 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) -1)
(*.f64 (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (neg.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(*.f64 -1 (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(.f64 -1 (.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(*.f64 (neg.f64 (/.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (neg.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(neg.f64 (*.f64 -1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(-.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 0)
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Outputs
7713234287776531/30000000000000
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38937927459861619147/150000000000000000
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(.f64 (.f64 (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)))) (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(.f64 (neg.f64 (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))))) (-.f64 (.f64 z -446800080651085577/900000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 371756020978964147/150000000000000000)))
(.f64 (/.f64 (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 z 446800080651085577/900000000000000000))) (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 z 446800080651085577/900000000000000000)))) (+.f64 371756020978964147/150000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 z -446800080651085577/900000000000000000))))
(.f64 (/.f64 (+.f64 371756020978964147/150000000000000000 (+.f64 (.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (+.f64 (.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 371756020978964147/150000000000000000 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 z -446800080651085577/900000000000000000))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) 1)
(+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (/.f64 (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)))) (/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(neg.f64 (.f64 -1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 z 446800080651085577/900000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

localize125.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 52 computations (28.8% saved)

series9.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
3.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
0.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational_best_oopsla_all_46_json_45_simplify-13`
1222×	`rational_best_oopsla_all_46_json-2`
1222×	`rational_best_oopsla_all_46_json-1`
1222×	`rational_best_oopsla_all_46_json-4`
1222×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
1	139	97
2	506	97
3	2692	97

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

(*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))

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

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

Outputs

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

simplify125.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational_best_oopsla_all_46_json_45_simplify-13`
1340×	`rational_best_oopsla_all_46_json_45_simplify-49`
1142×	`rational_best_oopsla_all_46_json_45_simplify-7`
1042×	`rational_best_oopsla_all_46_json_45_simplify-89`
894×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	5811
1	1088	5525
2	4593	5521

Stop Event

1×	node limit

Counts

99 → 127

Calls

Call 1

Inputs
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Outputs
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(-.f64 0 (.f64 (neg.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(-.f64 0 (.f64 -1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(-.f64 (.f64 (neg.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) -1) 0)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (.f64 (neg.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) -1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 1 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (neg.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (neg.f64 (/.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 -1 (neg.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize327.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
	6.9b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000)))

Compiler

Compiled 404 to 326 computations (19.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`rational_best_oopsla_all_46_json-2`
1336×	`rational_best_oopsla_all_46_json-1`
1336×	`rational_best_oopsla_all_46_json-4`
1336×	`rational_best_oopsla_all_46_json-3`
1092×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	47	15
2	132	15
3	537	15
4	2690	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational_best_oopsla_all_46_json_45_simplify-72`
1316×	`rational_best_oopsla_all_46_json_45_simplify-10`
902×	`rational_best_oopsla_all_46_json_45_simplify-49`
812×	`rational_best_oopsla_all_46_json_45_simplify-7`
646×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	360
1	172	360
2	718	360
3	3335	360
4	7535	360

Stop Event

1×	node limit

Counts

24 → 25

Calls

Call 1

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

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

localize322.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	1.0b	(.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 387 to 287 computations (25.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

0.0ms

inf

(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

0.0ms

-inf

(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

rewrite57.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational_best_oopsla_all_46_json_45_simplify-37`
1438×	`rational_best_oopsla_all_46_json_45_simplify-13`
1248×	`rational_best_oopsla_all_46_json_45_simplify-23`
876×	`rational_best_oopsla_all_46_json-2`
876×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	63	31
2	123	31
3	372	31
4	1666	31

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

Outputs

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simplify87.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best_oopsla_all_46_json_45_simplify-7`
1148×	`rational_best_oopsla_all_46_json_45_simplify-13`
914×	`rational_best_oopsla_all_46_json_45_simplify-72`
864×	`rational_best_oopsla_all_46_json_45_simplify-49`
822×	`rational_best_oopsla_all_46_json_45_simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1800
1	459	1800
2	3317	1800

Stop Event

1×	node limit

Counts

54 → 59

Calls

Call 1

Inputs
371756020978964147/150000000000000000
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Outputs
371756020978964147/150000000000000000
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(+.f64 (.f64 446800080651085577/900000000000000000 z) (+.f64 371756020978964147/150000000000000000 (.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))))
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(.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 0 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (neg.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) -1)
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (neg.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (neg.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 -1 (neg.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 1 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (neg.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 1 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(neg.f64 (neg.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

localize332.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))
	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 678 to 568 computations (16.2% saved)

eval1.9s (1.9%)

Compiler: Compiled 78936 to 61465 computations (22.1% saved)

prune964.0ms (1%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	912	19	931
Fresh	4	8	12
Picked	1	0	1
Done	3	3	6
Total	920	30	950

Error

0.0b

Counts

950 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
	1.8b	(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
	1.8b	(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (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 (neg.f64 z) 8)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 (-.f64 2 z) -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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
▶	0.9b	(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.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)))))
▶	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (*.f64 z 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))))) (exp.f64 (+.f64 z -15/2)))))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
✓	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
✓	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
▶	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
▶	2.2b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
	2.2b	(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 2))))))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))
	1.5b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
✓	0.7b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	2.2b	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))

Compiler

Compiled 3086 to 2591 computations (16% saved)

localize429.0ms (0.4%)

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))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
	5.5b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 803 to 693 computations (13.7% saved)

localize32.0ms (0%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

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

1.0b

(sqrt.f64 (*.f64 (PI.f64) 2))

1.0b

(*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))

Compiler

Compiled 61 to 54 computations (11.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

rewrite63.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational_best_oopsla_all_46_json_45_simplify-13`
1350×	`rational_best_oopsla_all_46_json_45_simplify-87`
1090×	`rational_best_oopsla_all_46_json-2`
1090×	`rational_best_oopsla_all_46_json-1`
1090×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	129	51
2	451	51
3	2393	51

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (*.f64 (*.f64 (/.f64 1 z) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 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simplify115.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

916×	`rational_best_oopsla_all_46_json_45_simplify-10`
892×	`rational_best_oopsla_all_46_json_45_simplify-30`
854×	`rational_best_oopsla_all_46_json_45_simplify-36`
714×	`rational_best_oopsla_all_46_json_45_simplify-23`
710×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	2937
1	552	2937
2	2249	2937
3	5494	2937

Stop Event

1×	node limit

Counts

55 → 56

Calls

Call 1

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

localize40.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 60 computations (39.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`rational_best_oopsla_all_46_json_45_simplify-13`
1190×	`rational_best_oopsla_all_46_json_45_simplify-23`
1184×	`rational_best_oopsla_all_46_json-2`
1184×	`rational_best_oopsla_all_46_json-1`
1184×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	96
1	137	96
2	486	96
3	2584	96

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

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

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

Outputs

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simplify209.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational_best_oopsla_all_46_json_45_simplify-23`
1134×	`rational_best_oopsla_all_46_json_45_simplify-89`
1000×	`rational_best_oopsla_all_46_json_45_simplify-24`
954×	`rational_best_oopsla_all_46_json_45_simplify-7`
916×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	6700
1	1159	6348
2	4661	6322

Stop Event

1×	node limit

Counts

94 → 138

Calls

Call 1

Inputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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(/.f64 (exp.f64 -15/2) z)
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Outputs
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localize313.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
✓	1.0b	(.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	6.9b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000)))

Compiler

Compiled 415 to 327 computations (21.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
1.0ms	z	@	-inf	(.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
0.0ms	z	@	inf	(.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
0.0ms	z	@	inf	(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	0	(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite299.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`rational_best_oopsla_all_46_json-2`
1344×	`rational_best_oopsla_all_46_json-1`
1344×	`rational_best_oopsla_all_46_json-4`
1344×	`rational_best_oopsla_all_46_json-3`
1274×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	174
1	258	174
2	617	174
3	2725	174

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs

(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))

(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

Outputs

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simplify376.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1302×	`rational_best_oopsla_all_46_json_45_simplify-89`
1152×	`rational_best_oopsla_all_46_json_45_simplify-7`
1150×	`rational_best_oopsla_all_46_json_45_simplify-24`
1048×	`rational_best_oopsla_all_46_json_45_simplify-74`
830×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	23963
1	1602	23705
2	6291	23705

Stop Event

1×	node limit

Counts

141 → 182

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0)
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Outputs
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(.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
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(/.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))))) (neg.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (exp.f64 (+.f64 -15/2 z))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 371756020978964147/150000000000000000)))))) (exp.f64 (+.f64 -15/2 z))))
(/.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (exp.f64 (+.f64 -15/2 z))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 371756020978964147/150000000000000000)))))) (exp.f64 (+.f64 -15/2 z))))
(/.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (neg.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2))))) (neg.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2)))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (exp.f64 (+.f64 -15/2 z))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 371756020978964147/150000000000000000)))))) (exp.f64 (+.f64 -15/2 z))))
(-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0)
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 0))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 0))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(-.f64 0 (*.f64 -1 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 1 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 1 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 -1 (neg.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

localize239.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))
✓	1.0b	(*.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)))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 619 to 509 computations (17.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite116.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`rational_best_oopsla_all_46_json-2`
1754×	`rational_best_oopsla_all_46_json-1`
1754×	`rational_best_oopsla_all_46_json-4`
1754×	`rational_best_oopsla_all_46_json-3`
796×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	73	35
2	186	35
3	733	35
4	3501	35

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational_best_oopsla_all_46_json_45_simplify-89`
1120×	`rational_best_oopsla_all_46_json_45_simplify-74`
1060×	`rational_best_oopsla_all_46_json_45_simplify-24`
962×	`rational_best_oopsla_all_46_json_45_simplify-10`
950×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	2354
1	392	2228
2	1494	2146
3	5913	2146

Stop Event

1×	node limit

Counts

36 → 45

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(+.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 0 (/.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))))))
(+.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 0 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(+.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))))
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (.f64 0 (/.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))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (.f64 0 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(-.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 0)
(-.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2)))))
(-.f64 (.f64 0 (/.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))))) (.f64 (/.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)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (exp.f64 (+.f64 z -15/2)) (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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(/.f64 (*.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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (/.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)))) (/.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))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.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)) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2)))))

Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)))) z))
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(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(/.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)) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(neg.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (neg.f64 (exp.f64 (+.f64 z -15/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))

eval4.5s (4.5%)

Compiler: Compiled 120364 to 97087 computations (19.3% saved)

prune1.2s (1.3%)

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1212	13	1225
Fresh	2	20	22
Picked	1	0	1
Done	4	3	7
Total	1219	36	1255

Error

0.0b

Counts

1255 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
	2.9b	(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
	1.9b	(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
	2.1b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
	2.2b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
	1.7b	(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
	1.8b	(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (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 (neg.f64 z) 8)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 (-.f64 2 z) -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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 0 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (-.f64 0 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 0 z) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	0.9b	(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.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)))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 0 z) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (*.f64 z 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))))) (exp.f64 (+.f64 z -15/2)))))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
✓	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (.f64 7713234287776531/90000000000000 z) 38937927459861619147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
✓	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	2.2b	(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 2))))))))
	1.2b	(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))
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✓	0.7b	(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
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	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
	2.7b	(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))

Compiler

Compiled 1783 to 1499 computations (15.9% saved)

regimes161.0ms (0.2%)

Counts

63 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
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(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
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(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))
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(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.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 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.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 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sin.f64 (.f64 z (PI.f64)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.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 (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 (.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 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (exp.f64 -15/2) (*.f64 z (sqrt.f64 2))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))

Outputs

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

Calls

2 calls:

32.0ms

(*.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)))))

27.0ms

Results

Error	Segments	Branch
0.7b	1	`z`
0.7b	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 3780 to 2959 computations (21.7% saved)

regimes68.0ms (0.1%)

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (.f64 7713234287776531/90000000000000 z) 38937927459861619147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 12777243138120953/60000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (*.f64 z 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2) (+.f64 (-.f64 0 z) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 0 z) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 7827144361880981797/30000000000000000 (*.f64 314207804027640689/720000000000000 z)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 0 z) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 0 z) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 0 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 0 z) 8)))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.8b	1	`z`

Compiler

Compiled 1706 to 1283 computations (24.8% saved)

regimes60.0ms (0.1%)

Counts

38 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (.f64 7713234287776531/90000000000000 z) 38937927459861619147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 12777243138120953/60000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (*.f64 z 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))))) (exp.f64 (+.f64 z -15/2)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 1562 to 1171 computations (25% saved)

regimes45.0ms (0%)

Counts

32 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 (.f64 7713234287776531/90000000000000 z) 38937927459861619147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 12777243138120953/60000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000))) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))))))
(.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 371756020978964147/150000000000000000 (.f64 446800080651085577/900000000000000000 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 z) 15/2))) (sqrt.f64 (.f64 (PI.f64) 2))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 1150 to 862 computations (25% saved)

regimes29.0ms (0%)

Counts

24 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 648 to 488 computations (24.7% saved)

regimes25.0ms (0%)

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (*.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.3b	1	`z`

Compiler

Compiled 538 to 408 computations (24.2% saved)

regimes128.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 37970024701483599/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))

Calls

1 calls:

116.0ms

Results

Error	Segments	Branch
1.4b	1	`z`

Compiler

Compiled 488 to 372 computations (23.8% saved)

regimes18.0ms (0%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1 z)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z))) 1)
(neg.f64 (.f64 (/.f64 1 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (/.f64 1 z) (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 -15/2)))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 (.f64 (exp.f64 -15/2) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 1)
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (neg.f64 (sqrt.f64 (.f64 2 (PI.f64))))) 1)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 0) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -1735176160791501506896917941/4200000000000000000000000)) (exp.f64 (+.f64 z -15/2)))))))

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.7b	1	`z`

Compiler

Compiled 357 to 276 computations (22.7% saved)

regimes8.0ms (0%)

Accuracy

Total -0.8b remaining (-39%)

Threshold costs -0.8b (-39%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
2.0b	1	`z`

Compiler

Compiled 84 to 74 computations (11.9% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1403

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))

Outputs
(.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (*.f64 25859714319472131859/300000000000000000 z) 38937927459861619147/150000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (exp.f64 (+.f64 z -15/2)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 (+.f64 371756020978964147/150000000000000000 (.f64 z 446800080651085577/900000000000000000)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 (.f64 28055769969492049/80000000000000 z) 37970024701483599/10000000000000000) (+.f64 371756020978964147/150000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (*.f64 z -56359610797016306077882682387/235200000000000000000000000) 1735176160791501506896917941/4200000000000000000000000))) (exp.f64 (+.f64 z -15/2)))))))
(-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (/.f64 1 z) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (sqrt.f64 15/2)))))

Compiler

Compiled 457 to 375 computations (17.9% saved)

soundness129.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational_best_oopsla_all_46_json_45_simplify-89`
1406×	`rational_best_oopsla_all_46_json_45_simplify-74`
1150×	`rational_best_oopsla_all_46_json_45_simplify-24`
782×	`rational_best_oopsla_all_46_json_45_simplify-82`
668×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	125	241
2	391	233
3	1623	229
4	7447	229

Stop Event

1×	node limit

Compiler

Compiled 247 to 215 computations (13% saved)

end259.0ms (0.3%)

Compiler: Compiled 449 to 341 computations (24.1% saved)