Details

analyze2.4s (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.9s (2.8%)

Algorithm

1×

intervals

Results

1.7s	138×	body	8192	exit
98.0ms	256×	body	128	valid
7.0ms	395×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 252 to 223 computations (11.5% saved)

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

388×	`associate-+l+_binary64`
296×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`
224×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	606	119
3	3454	115
4	4863	115
5	4787	115

prune17.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

1.7b

Counts

3 → 2

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

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

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)))))

Compiler

Compiled 596 to 508 computations (14.8% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

series68.0ms (0.1%)

Counts

4 → 36

Calls

4 calls:

33.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
31.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
3.0ms	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
0.0ms	(sqrt.f64 (*.f64 (PI.f64) 2))

rewrite179.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`frac-add_binary64`
58×	`*-un-lft-identity_binary64`
40×	`distribute-lft-out_binary64`
34×	`associate-*r/_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 126

Calls

4 calls:

96.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
17.0ms	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
13.0ms	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
2.0ms	(sqrt.f64 (*.f64 (PI.f64) 2))

simplify323.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
633×	`distribute-rgt-in_binary64`
599×	`distribute-lft-in_binary64`
345×	`*-commutative_binary64`
149×	`associate-l_binary64`

Counts

162 → 224

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	20494
1	2393	19568
2	6145	19568

prune733.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	218	6	224
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	219	7	226

Error

0.3b

Counts

226 → 7

Alt Table

Status	Error	Program
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
▶	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 904338909853211/2500000000000 z (.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z)))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z)))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z)))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))) (.f64 (-.f64 5 z) (fma.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (fma.f64 -3147848041806007/2500000000000 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (.f64 (-.f64 2 z) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)))) (-.f64 3 z)))))))))))))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (-.f64 8 z) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))))))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (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 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Compiler

Compiled 37481 to 29871 computations (20.3% saved)

localize69.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)
✓	1.0b	(*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.6b	(+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000))

series9.0ms (0%)

Counts

3 → 24

Calls

3 calls:

7.0ms

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

2.0ms

(*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)

0.0ms

(*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000)

rewrite44.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-*l/_binary64`
26×	`associate-+l+_binary64`
26×	`flip--_binary64`
26×	`flip3--_binary64`
24×	`add-sqr-sqrt_binary64`

Counts

3 → 111

Calls

3 calls:

14.0ms

(*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)

12.0ms

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

3.0ms

(*.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000)

simplify152.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-l_binary64`
446×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
415×	`associate-r_binary64`
308×	`fma-def_binary64`

Counts

135 → 212

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	5397
1	1107	4427
2	4929	4415
3	4907	4415

prune1.9s (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	231	7	238

Error

0.3b

Counts

238 → 7

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 904338909853211/2500000000000 z (.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 (-.f64 15/2 z)))) (fma.f64 3764081837873279/25000000000000000000000 (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z)))))) (.f64 (-.f64 8 z) (fma.f64 2496092394504893/250000000000000000000 (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))))) (.f64 (-.f64 7 z) (fma.f64 -3464277381643003/25000000000000000 (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z)))) (.f64 (-.f64 6 z) (fma.f64 2501468655737381/200000000000000 (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))) (.f64 (-.f64 5 z) (fma.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) -883075145810703/5000000000000) (.f64 (-.f64 4 z) (fma.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (fma.f64 -3147848041806007/2500000000000 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000) (.f64 (-.f64 2 z) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)))) (-.f64 3 z)))))))))))))) (.f64 (pow.f64 (-.f64 15/2 z) z) (.f64 (-.f64 8 z) (.f64 (-.f64 7 z) (.f64 (-.f64 6 z) (.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 2 z) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) -9999999999998099/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000)) (.f64 (-.f64 3 z) (-.f64 4 z))))))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (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 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
▶	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (fma.f64 z -52120709903757078245430659528778613801/100000000000000000000000000000000 -3239171488526100880312595937844772199/50000000000000000000000000000000) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Compiler

Compiled 66513 to 52408 computations (21.2% saved)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 (*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)

rewrite33.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`associate-*l/_binary64`
28×	`frac-times_binary64`
27×	`flip--_binary64`
27×	`flip3--_binary64`
10×	`add-cbrt-cube_binary64`

Counts

1 → 49

Calls

1 calls:

26.0ms

(*.f64 (*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)

simplify127.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-def_binary64`
352×	`associate-l_binary64`
245×	`associate-r_binary64`
186×	`+-commutative_binary64`
173×	`*-commutative_binary64`

Counts

61 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1806
1	456	1585
2	1786	1574
3	3014	1549
4	4878	1549
5	4998	1549
6	4928	1549

prune1.6s (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	216	6	222

Error

0.3b

Counts

222 → 6

Alt Table

Status	Error	Program
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (fma.f64 z -52120709903757078245430659528778613801/100000000000000000000000000000000 -3239171488526100880312595937844772199/50000000000000000000000000000000) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
▶	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 904338909853211/2500000000000 z (.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
✓	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (fma.f64 z -52120709903757078245430659528778613801/100000000000000000000000000000000 -3239171488526100880312595937844772199/50000000000000000000000000000000) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Compiler

Compiled 54859 to 42770 computations (22% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))
✓	1.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 904338909853211/2500000000000 z (.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

series40.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

37.0ms

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))

3.0ms

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

rewrite139.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`frac-add_binary64`
56×	`*-un-lft-identity_binary64`
29×	`associate-*r/_binary64`
28×	`distribute-lft-out_binary64`
21×	`add-sqr-sqrt_binary64`

Counts

2 → 101

Calls

2 calls:

83.0ms

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z (*.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))

4.0ms

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

simplify307.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

544×	`distribute-rgt-in_binary64`
508×	`distribute-lft-in_binary64`
501×	`fma-def_binary64`
277×	`*-commutative_binary64`
119×	`associate-l_binary64`

Counts

125 → 167

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	17705
1	2045	16871
2	5107	16871

prune857.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	233	5	238

Error

0.3b

Counts

238 → 5

Alt Table

Status	Error	Program
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (fma.f64 z -52120709903757078245430659528778613801/100000000000000000000000000000000 -3239171488526100880312595937844772199/50000000000000000000000000000000) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 9999999999998099/10000000000000000 9999999999998099/10000000000000000) (.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 2 z)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (-.f64 3 z)) (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) 7713234287776531/10000000000000)) (-.f64 4 z)) (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) -883075145810703/5000000000000)) (-.f64 5 z)) (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) 2501468655737381/200000000000000)) (-.f64 6 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) -3464277381643003/25000000000000000)) (-.f64 7 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) 2496092394504893/250000000000000000000)) (-.f64 8 z)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) 3764081837873279/25000000000000000000000))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 5 z)) (-.f64 6 z)) (-.f64 7 z)) (-.f64 8 z))))
✓	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 904338909853211/2500000000000 z (.f64 23912966683069397/40000000000000 (pow.f64 z 3))))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 (+.f64 (+.f64 -15/2 z) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))) (log.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 904338909853211/2500000000000 z (.f64 (pow.f64 z 3) 23912966683069397/40000000000000)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Compiler

Compiled 36394 to 27086 computations (25.6% saved)

regimes1.0s (1.6%)

Accuracy

Total 0.2b remaining (37%)

Threshold costs 0.2b (37%)

Counts

131 → 1

Compiler

Compiled 33690 to 26968 computations (20% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
23×	`+-commutative_binary64`
15×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	388
1	134	388
2	156	388
3	162	388
4	165	388
5	162	388

end4.0ms (0%)

Compiler: Compiled 257 to 206 computations (19.8% saved)

sample54.6s (81.8%)

Algorithm

1×

intervals

Results

49.6s	3830×	body	8192	exit
3.4s	8000×	body	128	valid
240.0ms	11912×	pre	128	true
34.0ms	82×	body	128	invalid

Compiler

Compiled 1128 to 915 computations (18.9% saved)

Details

analyze2.4s (3.6%)

sample1.9s (2.8%)

simplify46.0ms (0.1%)

prune17.0ms (0%)

localize49.0ms (0.1%)

series68.0ms (0.1%)

rewrite179.0ms (0.3%)

simplify323.0ms (0.5%)

prune733.0ms (1.1%)

localize69.0ms (0.1%)

series9.0ms (0%)

rewrite44.0ms (0.1%)

simplify152.0ms (0.2%)

prune1.9s (2.8%)

localize70.0ms (0.1%)

series3.0ms (0%)

rewrite33.0ms (0%)

simplify127.0ms (0.2%)

prune1.6s (2.3%)

localize53.0ms (0.1%)

series40.0ms (0.1%)

rewrite139.0ms (0.2%)

simplify307.0ms (0.5%)

prune857.0ms (1.3%)

regimes1.0s (1.6%)

simplify13.0ms (0%)

end4.0ms (0%)

sample54.6s (81.8%)

Profiling