Details

analyze2.0s (4.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	75%	0%	4
25%	75%	0%	5
28.1%	68.7%	3.2%	6
28.1%	68.7%	3.2%	7
28.1%	68.7%	3.2%	8
28.1%	68.3%	3.6%	9
28.1%	68.1%	3.8%	10
28.1%	68%	3.9%	11
28.1%	68%	3.9%	12
28.1%	68%	3.9%	13
28.1%	68%	3.9%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample41.6s (85.2%)

Results

18.3s	7958×	body	8192	exit
6.9s	4093×	body	1024	valid
5.9s	4045×	body	1024	invalid
3.0s	8000×	body	128	invalid
2.1s	1955×	body	512	valid
2.0s	2072×	body	512	invalid
1.3s	512×	body	2048	valid
785.0ms	1049×	body	256	valid
673.0ms	1006×	body	256	invalid
237.0ms	647×	body	128	valid
5.0ms	3×	body	2048	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify89.0ms (0.2%)

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

prune8.0ms (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

59.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	59.9b	(.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

▶

59.9b

(*.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)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.2b	(*.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))))
✓	7.5b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series114.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

79.0ms	(/.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))))
20.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
7.0ms	(*.f64 (PI.f64) f)
7.0ms	(*.f64 (/.f64 (PI.f64) 4) f)

rewrite94.0ms (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:

19.0ms	(/.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))))
15.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
8.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms	(*.f64 (PI.f64) f)

simplify398.0ms (0.8%)

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

prune688.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	347	2	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	347	3	350

Error

2.1b

Counts

350 → 3

Alt Table

Status	Error	Program
▶	2.3b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
✓	59.9b	(.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)))
	2.4b	(.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)))

Compiler

Compiled 15865 to 10268 computations (35.3% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
✓	0.2b	(*.f64 f (PI.f64))
✓	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

series74.0ms (0.2%)

Counts

4 → 24

Calls

4 calls:

36.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
16.0ms	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
16.0ms	(/.f64 4 (*.f64 f (PI.f64)))
5.0ms	(*.f64 f (PI.f64))

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

4 → 88

Calls

4 calls:

11.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
8.0ms	(*.f64 f (PI.f64))
6.0ms	(/.f64 4 (*.f64 f (PI.f64)))
1.0ms	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))

simplify177.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
336×	`fma-neg_binary64`
319×	`associate-/r*_binary64`
281×	`associate-*l/_binary64`
280×	`associate-*r/_binary64`

Counts

112 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	2580
1	546	2310
2	1707	2301
3	4281	2293
4	4990	2293
5	4930	2293

prune262.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	195	8	203
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	196	10	206

Error

1.7b

Counts

206 → 10

Alt Table

Status	Error	Program
	2.4b	(.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)))
	2.4b	(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
✓	59.9b	(.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)))
	2.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	60.6b	(log1p.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
▶	2.3b	(.f64 (.f64 (log.f64 (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))))
	2.5b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64))))
	3.2b	(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64))))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
	3.1b	(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))

Compiler

Compiled 5020 to 2987 computations (40.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(.f64 (.f64 (log.f64 (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 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64))))
✓	1.0b	(sqrt.f64 (PI.f64))

series86.0ms (0.2%)

Counts

3 → 24

Calls

3 calls:

44.0ms

(*.f64 (*.f64 (log.f64 (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))))

42.0ms

(*.f64 (log.f64 (fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64))))

0.0ms

(sqrt.f64 (PI.f64))

rewrite75.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-exp-log_binary64`
44×	`associate-r_binary64`
44×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`

Counts

3 → 121

Calls

3 calls:

25.0ms

(*.f64 (*.f64 (log.f64 (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))))

20.0ms

(*.f64 (log.f64 (fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64))))

2.0ms

(sqrt.f64 (PI.f64))

simplify306.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-def_binary64`
397×	`cancel-sign-sub-inv_binary64`
396×	`fma-neg_binary64`
284×	`times-frac_binary64`
260×	`associate-l_binary64`

Counts

145 → 208

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	296	5315
1	791	4548
2	2665	4280
3	4517	4270
4	4952	4270
5	5000	4270
6	4908	4270

prune496.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	254	5	259
Fresh	6	2	8
Picked	0	1	1
Done	0	1	1
Total	260	9	269

Error

1.7b

Counts

269 → 9

Alt Table

Status	Error	Program
	2.3b	(.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 1 (PI.f64))))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	2.5b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64))))) (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64))))) (.f64 (.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))))
	2.4b	(.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)))
✓	59.9b	(.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)))
	63.0b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	60.6b	(log1p.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
✓	2.3b	(.f64 (.f64 (log.f64 (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))))
▶	2.2b	(/.f64 (.f64 -4 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
	2.7b	(.f64 (log.f64 (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)))))

Compiler

Compiled 8148 to 4848 computations (40.5% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) f)
✓	0.2b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.3b	(/.f64 (.f64 -4 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
✓	1.0b	(*.f64 (PI.f64) 1/12)

series30.0ms (0.1%)

Counts

3 → 24

Calls

3 calls:

22.0ms	(/.f64 (.f64 -4 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
8.0ms	(/.f64 4 (*.f64 (PI.f64) f))
0.0ms	(*.f64 (PI.f64) 1/12)

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cbrt-cube_binary64`
15×	`add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/.f64 (.f64 -4 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
4.0ms	(*.f64 (PI.f64) 1/12)
3.0ms	(/.f64 4 (*.f64 (PI.f64) f))

simplify107.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

840×	`times-frac_binary64`
650×	`fma-def_binary64`
533×	`associate-/l*_binary64`
481×	`associate-/r*_binary64`
241×	`associate-/l/_binary64`

Counts

90 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	1897
1	502	1668
2	1714	1634
3	4738	1616
4	5143	1616

prune205.0ms (0.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	135	9	144

Error

1.7b

Counts

144 → 9

Alt Table

Status	Error	Program
	2.3b	(fma.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	2.7b	(.f64 (log.f64 (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)))))
	2.4b	(.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)))
✓	59.9b	(.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)))
	63.0b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	60.6b	(log1p.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
✓	2.3b	(.f64 (.f64 (log.f64 (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))))
✓	2.2b	(/.f64 (.f64 -4 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64))
	2.3b	(.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 1 (PI.f64))))) (/.f64 -4 (sqrt.f64 (PI.f64))))

Compiler

Compiled 3118 to 2016 computations (35.3% saved)

regimes1.6s (3.3%)

Accuracy

Total 0.7b remaining (33.9%)

Threshold costs 0.7b (33.9%)

Counts

165 → 1

Compiler

Compiled 21468 to 15590 computations (27.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	18	29
2	18	29

end278.0ms (0.6%)

Compiler: Compiled 229 to 168 computations (26.6% saved)

Details

analyze2.0s (4.1%)

sample41.6s (85.2%)

simplify89.0ms (0.2%)

prune8.0ms (0%)

localize29.0ms (0.1%)

series114.0ms (0.2%)

rewrite94.0ms (0.2%)

simplify398.0ms (0.8%)

prune688.0ms (1.4%)

localize18.0ms (0%)

series74.0ms (0.2%)

rewrite34.0ms (0.1%)

simplify177.0ms (0.4%)

prune262.0ms (0.5%)

localize25.0ms (0.1%)

series86.0ms (0.2%)

rewrite75.0ms (0.2%)

simplify306.0ms (0.6%)

prune496.0ms (1%)

localize12.0ms (0%)

series30.0ms (0.1%)

rewrite15.0ms (0%)

simplify107.0ms (0.2%)

prune205.0ms (0.4%)

regimes1.6s (3.3%)

simplify4.0ms (0%)

end278.0ms (0.6%)

Profiling