Details

analyze1.3s (7.9%)

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)

sample11.4s (69.2%)

Results

3.5s	4034×	body	1024	valid
3.4s	3975×	body	1024	invalid
1.2s	1972×	body	512	valid
1.2s	2013×	body	512	invalid
748.0ms	510×	body	2048	valid
570.0ms	1070×	body	256	valid
441.0ms	1032×	body	256	invalid
157.0ms	670×	body	128	valid
5.0ms	5×	body	2048	invalid
1.0ms	6×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify55.0ms (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

prune5.0ms (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

60.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	60.5b	(.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

▶

60.5b

(*.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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.3b	(*.f64 (PI.f64) f)
✓	1.5b	(/.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))))
✓	4.6b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series51.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

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)))
4.0ms	(*.f64 (PI.f64) f)
3.0ms	(*.f64 (/.f64 (PI.f64) 4) f)

rewrite37.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
38×	`times-frac_binary64`
21×	`prod-diff_binary64`

Counts

4 → 159

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))))
6.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
5.0ms	(-.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)

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
588×	`times-frac_binary64`
366×	`fma-neg_binary64`
225×	`cancel-sign-sub-inv_binary64`
196×	`exp-prod_binary64`

Counts

207 → 258

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	8603
1	652	7401
2	1996	6651
3	4169	6609
4	4840	6609

prune328.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	346	4	350

Error

2.1b

Counts

350 → 4

Alt Table

Status	Error	Program
▶	2.8b	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	60.5b	(.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)))
	2.9b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	60.8b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (.f64 (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/2) (pow.f64 (exp.f64 f) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 15987 to 10352 computations (35.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series49.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

29.0ms	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
9.0ms	(/.f64 4 (*.f64 f (PI.f64)))
8.0ms	(pow.f64 (*.f64 f (PI.f64)) 3)
2.0ms	(*.f64 f (PI.f64))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary64`
383×	`associate-/r*_binary64`
270×	`associate-/l*_binary64`
241×	`associate-*l/_binary64`
199×	`times-frac_binary64`

Counts

126 → 181

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	2988
1	598	2693
2	1947	2667
3	4700	2661
4	5092	2661

prune257.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	238	5	243
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	239	8	247

Error

1.7b

Counts

247 → 8

Alt Table

Status	Error	Program
	2.9b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	15.3b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
▶	2.8b	(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)))
	2.9b	(.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	3.1b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))))
	3.8b	(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))))) (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))))
✓	60.5b	(.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)))
	60.8b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (.f64 (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/2) (pow.f64 (exp.f64 f) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 7561 to 4314 computations (42.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (.f64 (*.f64 f f) -1/12))
✓	0.3b	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
✓	0.3b	(/.f64 (log.f64 f) (PI.f64))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

series317.0ms (1.9%)

Counts

4 → 28

Calls

4 calls:

279.0ms	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
33.0ms	(/.f64 (log.f64 f) (PI.f64))
5.0ms	(.f64 (PI.f64) (.f64 (*.f64 f f) -1/12))
0.0ms	(log.f64 (/.f64 4 (PI.f64)))

rewrite102.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

457×	`times-frac_binary64`
315×	`*-un-lft-identity_binary64`
313×	`add-sqr-sqrt_binary64`
301×	`add-cube-cbrt_binary64`
256×	`prod-diff_binary64`

Counts

4 → 404

Calls

4 calls:

24.0ms	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
6.0ms	(.f64 (PI.f64) (.f64 (*.f64 f f) -1/12))
3.0ms	(/.f64 (log.f64 f) (PI.f64))
2.0ms	(log.f64 (/.f64 4 (PI.f64)))

simplify358.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-*l/_binary64`
425×	`associate-/l*_binary64`
344×	`fma-neg_binary64`
193×	`associate-/l/_binary64`
156×	`fma-udef_binary64`

Counts

432 → 346

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	13614
1	929	10964
2	2002	9844
3	4816	9844
4	4821	9844

prune448.0ms (2.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	344	2	346
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	344	10	354

Error

1.7b

Counts

354 → 10

Alt Table

Status	Error	Program
	2.9b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	3.8b	(fma.f64 4 (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (cbrt.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)))
	15.3b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
	2.9b	(fma.f64 4 (-.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 f))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (PI.f64) (.f64 (*.f64 f f) -1/12)))
	3.1b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))))
✓	2.8b	(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)))
▶	2.9b	(.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	3.8b	(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))))) (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))))
✓	60.5b	(.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)))
	60.8b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (.f64 (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/2) (pow.f64 (exp.f64 f) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 17951 to 10328 computations (42.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series30.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

29.0ms

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

0.0ms

(sqrt.f64 (PI.f64))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
22×	`associate-r_binary64`
18×	`times-frac_binary64`
18×	`prod-exp_binary64`

Counts

2 → 71

Calls

2 calls:

10.0ms

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

1.0ms

(sqrt.f64 (PI.f64))

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-/l*_binary64`
331×	`fma-def_binary64`
297×	`associate-/r*_binary64`
249×	`times-frac_binary64`
248×	`associate-l_binary64`

Counts

83 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	3822
1	600	3187
2	2110	2937
3	4549	2932
4	4955	2932

prune282.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	261	9	270

Error

1.7b

Counts

270 → 9

Alt Table

Status	Error	Program
	2.9b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	15.3b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
	2.9b	(fma.f64 4 (-.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 f))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (PI.f64) (.f64 (*.f64 f f) -1/12)))
	3.1b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))))
	60.8b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (.f64 (-.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/2) (pow.f64 (exp.f64 f) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))))) (/.f64 -4 (PI.f64)))
	3.2b	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64)))))
✓	2.8b	(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)))
✓	2.9b	(.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
✓	60.5b	(.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 9176 to 5058 computations (44.9% saved)

regimes710.0ms (4.3%)

Accuracy

Total 0.8b remaining (32.7%)

Threshold costs 0.8b (32.7%)

Counts

89 → 1

Compiler

Compiled 20184 to 13976 computations (30.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	80
1	42	80
2	42	80

end212.0ms (1.3%)

Compiler: Compiled 379 to 261 computations (31.1% saved)

Details

analyze1.3s (7.9%)

sample11.4s (69.2%)

simplify55.0ms (0.3%)

prune5.0ms (0%)

localize16.0ms (0.1%)

series51.0ms (0.3%)

rewrite37.0ms (0.2%)

simplify205.0ms (1.2%)

prune328.0ms (2%)

localize12.0ms (0.1%)

series49.0ms (0.3%)

rewrite20.0ms (0.1%)

simplify106.0ms (0.6%)

prune257.0ms (1.6%)

localize16.0ms (0.1%)

series317.0ms (1.9%)

rewrite102.0ms (0.6%)

simplify358.0ms (2.2%)

prune448.0ms (2.7%)

localize15.0ms (0.1%)

series30.0ms (0.2%)

rewrite19.0ms (0.1%)

simplify110.0ms (0.7%)

prune282.0ms (1.7%)

regimes710.0ms (4.3%)

simplify3.0ms (0%)

end212.0ms (1.3%)

Profiling