Details

analyze1.4s (7.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
3.1%	46.9%	50%	6
3.1%	45.3%	51.6%	7
3.1%	44.5%	52.4%	8
3.5%	44.1%	52.4%	9
3.7%	43.9%	52.4%	10
3.8%	43.8%	52.4%	11
3.8%	43.8%	52.4%	12
3.8%	43.8%	52.4%	13
3.8%	43.7%	52.4%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample12.1s (66.1%)

Results

3.8s	4005×	body	1024	valid
3.6s	3997×	body	1024	invalid
1.5s	2004×	body	512	valid
1.2s	2017×	body	512	invalid
845.0ms	530×	body	2048	valid
478.0ms	1059×	body	256	valid
436.0ms	1034×	body	256	invalid
164.0ms	658×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-neg_binary64`
569×	`fma-def_binary64`
365×	`div-sub_binary64`
240×	`associate-/r*_binary64`
202×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	117	59
3	295	55
4	736	55
5	1625	55
6	4003	55
7	5053	55

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

61.9b

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 136 to 100 computations (26.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.3b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
✓	1.7b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
✓	7.1b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series621.0ms (3.4%)

Counts

4 → 48

Calls

4 calls:

575.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
34.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
9.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
2.0ms	(*.f64 (PI.f64) f)

rewrite50.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64`
97×	`*-un-lft-identity_binary64`
56×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
34×	`log-prod_binary64`

Counts

4 → 172

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
7.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
3.0ms	(*.f64 (PI.f64) f)

simplify288.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

759×	`times-frac_binary64`
446×	`fma-neg_binary64`
309×	`cancel-sign-sub-inv_binary64`
196×	`unswap-sqr_binary64`
193×	`exp-prod_binary64`

Counts

220 → 269

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	12804
1	728	11342
2	2171	10169
3	4156	10095
4	5101	10095

prune370.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	293	6	299
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	294	6	300

Error

2.9b

Counts

300 → 6

Alt Table

Status	Error	Program
	62.0b	(.f64 (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.1b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (.f64 (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (-.f64 (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 7/23040 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
▶	3.5b	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 15476 to 10052 computations (35% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(pow.f64 (*.f64 f (PI.f64)) 3)
✓	0.4b	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
✓	1.0b	(pow.f64 (PI.f64) 5)

series49.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

35.0ms	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
8.0ms	(pow.f64 (*.f64 f (PI.f64)) 3)
7.0ms	(/.f64 4 (*.f64 f (PI.f64)))
0.0ms	(pow.f64 (PI.f64) 5)

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

4 → 101

Calls

4 calls:

7.0ms	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
3.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(pow.f64 (*.f64 f (PI.f64)) 3)
2.0ms	(pow.f64 (PI.f64) 5)

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

344×	`times-frac_binary64`
302×	`fma-neg_binary64`
299×	`fma-def_binary64`
290×	`log-prod_binary64`
248×	`cancel-sign-sub-inv_binary64`

Counts

125 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	3688
1	619	3289
2	2149	3188
3	4694	3183
4	5086	3183

prune254.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	166	6	172
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	167	11	178

Error

2.6b

Counts

178 → 11

Alt Table

Status	Error	Program
	62.1b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (.f64 (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	4.3b	(.f64 (.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880)))) (cbrt.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880))))) (.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))))))))
	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	4.3b	(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))))
▶	3.4b	(.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	62.0b	(.f64 (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	3.8b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) 3))
	3.6b	(.f64 (-.f64 (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 7/23040 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
	3.5b	(+.f64 (fma.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (PI.f64) (.f64 (.f64 f f) -1/12)))) (.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) -31/1451520))
	3.5b	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (exp.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))))) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 7976 to 5232 computations (34.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/2880))) (/.f64 1 (sqrt.f64 (PI.f64))))
	0.3b	(pow.f64 (*.f64 f (PI.f64)) 3)
✓	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (PI.f64) 5)

series53.0ms (0.3%)

Counts

2 → 12

Calls

2 calls:

53.0ms

(*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 1 (sqrt.f64 (PI.f64))))

0.0ms

(sqrt.f64 (PI.f64))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
22×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

2 → 65

Calls

2 calls:

9.0ms

(*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 1 (sqrt.f64 (PI.f64))))

1.0ms

(sqrt.f64 (PI.f64))

simplify164.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

589×	`fma-neg_binary64`
555×	`times-frac_binary64`
369×	`associate-l_binary64`
364×	`associate-r_binary64`
364×	`fma-def_binary64`

Counts

77 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	4049
1	449	3631
2	1238	3454
3	3590	3446
4	4869	3446
5	4976	3446
6	4900	3446

prune305.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	180	10	190

Error

2.6b

Counts

190 → 10

Alt Table

Status	Error	Program
✓	3.4b	(.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
▶	3.3b	(.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	4.3b	(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))))
	62.0b	(.f64 (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.1b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (.f64 (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (-.f64 (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 7/23040 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (log.f64 f))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	3.5b	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (exp.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))))) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 9189 to 5831 computations (36.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (PI.f64) f) 3)
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (PI.f64) 5)
✓	3.8b	(pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 1 (PI.f64))))

series65.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

51.0ms

(pow.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 (*.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 1 (PI.f64))))

14.0ms

(pow.f64 (*.f64 (PI.f64) f) 3)

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow-unpow_binary64`
13×	`sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`

Counts

2 → 56

Calls

2 calls:

3.0ms

(pow.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 (*.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 1 (PI.f64))))

2.0ms

(pow.f64 (*.f64 (PI.f64) f) 3)

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
432×	`times-frac_binary64`
278×	`cancel-sign-sub-inv_binary64`
264×	`fma-neg_binary64`
216×	`log-prod_binary64`

Counts

80 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4002
1	597	3899
2	1904	3420
3	4628	3420
4	4980	3420
5	4954	3420

prune283.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	128	10	138

Error

2.6b

Counts

138 → 10

Alt Table

Status	Error	Program
✓	3.4b	(.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
✓	3.3b	(.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	4.3b	(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))))
	62.0b	(.f64 (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (-.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.1b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (.f64 (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (-.f64 (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 7/23040 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (log.f64 f))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	3.5b	(.f64 (log.f64 (-.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (exp.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))))) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/2880))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 7134 to 4878 computations (31.6% saved)

regimes1.5s (8.4%)

Accuracy

Total 0.6b remaining (26%)

Threshold costs 0.6b (26%)

Counts

194 → 1

Compiler

Compiled 48690 to 35048 computations (28% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	61
1	32	61
2	31	61

end363.0ms (2%)

Compiler: Compiled 563 to 400 computations (29% saved)

Details

analyze1.4s (7.6%)

sample12.1s (66.1%)

simplify51.0ms (0.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series621.0ms (3.4%)

rewrite50.0ms (0.3%)

simplify288.0ms (1.6%)

prune370.0ms (2%)

localize18.0ms (0.1%)

series49.0ms (0.3%)

rewrite19.0ms (0.1%)

simplify113.0ms (0.6%)

prune254.0ms (1.4%)

localize22.0ms (0.1%)

series53.0ms (0.3%)

rewrite18.0ms (0.1%)

simplify164.0ms (0.9%)

prune305.0ms (1.7%)

localize25.0ms (0.1%)

series65.0ms (0.4%)

rewrite9.0ms (0%)

simplify142.0ms (0.8%)

prune283.0ms (1.5%)

regimes1.5s (8.4%)

simplify3.0ms (0%)

end363.0ms (2%)

Profiling