Details

analyze1.6s (11.1%)

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)

sample308.0ms (2.1%)

Algorithm

1×

intervals

Results

90.0ms	132×	body	1024	nan
78.0ms	117×	body	1024	valid
37.0ms	69×	body	512	valid
35.0ms	68×	body	512	nan
27.0ms	17×	body	2048	valid
14.0ms	35×	body	256	valid
8.0ms	28×	body	256	nan
3.0ms	18×	body	128	valid

Compiler

Compiled 78 to 62 computations (20.5% saved)

simplify47.0ms (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

61.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.7b	(.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

▶

61.7b

(*.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)

localize14.0ms (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)
✓	1.0b	(/.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))))
✓	5.9b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series56.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

35.0ms	(/.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))))
10.0ms	(-.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)
2.0ms	(*.f64 (PI.f64) f)

rewrite40.0ms (0.3%)

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:

11.0ms	(/.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))))
5.0ms	(*.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)

simplify230.0ms (1.6%)

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

prune400.0ms (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	3	350

Error

1.6b

Counts

350 → 3

Alt Table

Status	Error	Program
▶	1.7b	(.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)))
	1.7b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) 3) (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4)) 3)) (+.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 15954 to 10328 computations (35.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 f (PI.f64))
✓	0.3b	(pow.f64 (*.f64 f (PI.f64)) 3)
✓	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)))

series48.0ms (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	(pow.f64 (*.f64 f (PI.f64)) 3)
7.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(*.f64 f (PI.f64))

rewrite19.0ms (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:

5.0ms	(.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))
3.0ms	(pow.f64 (*.f64 f (PI.f64)) 3)

simplify109.0ms (0.8%)

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

prune347.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	236	7	243
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	237	9	246

Error

1.2b

Counts

246 → 9

Alt Table

Status	Error	Program
	1.7b	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	1.9b	(.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))))
	14.2b	(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))))
	1.7b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
▶	1.6b	(.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))))
	1.9b	(cbrt.f64 (.f64 (.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 -4 (PI.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 -4 (PI.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 -4 (PI.f64)))))
	1.7b	(-.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)))))
	1.8b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) 3) (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4)) 3)) (+.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 7618 to 4360 computations (42.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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	(pow.f64 (*.f64 f (PI.f64)) 3)
	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	1.0b	(sqrt.f64 (PI.f64))

series32.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

32.0ms

(*.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))

rewrite20.0ms (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:

11.0ms

(*.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))

simplify185.0ms (1.3%)

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

prune218.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	202	7	209

Error

1.2b

Counts

209 → 7

Alt Table

Status	Error	Program
✓	1.6b	(.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))))
	1.9b	(.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))))
	1.9b	(.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)))))
	1.7b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
▶	1.6b	(/.f64 (.f64 -4 (log.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)))))) (PI.f64))
	1.7b	(-.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)))))
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) 3) (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4)) 3)) (+.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 7379 to 4248 computations (42.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) f)
✓	0.3b	(pow.f64 (*.f64 (PI.f64) f) 3)
✓	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.3b	(/.f64 (.f64 -4 (log.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)))))) (PI.f64))

series46.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

29.0ms

(/.f64 (*.f64 -4 (log.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)))))) (PI.f64))

8.0ms

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

8.0ms

(/.f64 4 (*.f64 (PI.f64) f))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

3 → 70

Calls

3 calls:

4.0ms

(/.f64 (*.f64 -4 (log.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)))))) (PI.f64))

3.0ms

(/.f64 4 (*.f64 (PI.f64) f))

3.0ms

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

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

428×	`associate-/l*_binary64`
401×	`associate-/r*_binary64`
401×	`times-frac_binary64`
305×	`fma-def_binary64`
248×	`associate-/l/_binary64`

Counts

106 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	2398
1	528	2105
2	1737	2079
3	4947	2074
4	4920	2074

prune246.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	201	6	207

Error

1.2b

Counts

207 → 6

Alt Table

Status	Error	Program
✓	1.6b	(.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))))
	1.9b	(.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)))))
	1.7b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	1.7b	(-.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)))))
	1.6b	(/.f64 -4 (/.f64 (PI.f64) (log.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)))))))
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) 3) (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4)) 3)) (+.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 5712 to 3221 computations (43.6% saved)

regimes1.1s (7.3%)

Accuracy

Total 0.7b remaining (29.1%)

Threshold costs 0.7b (29.1%)

Counts

149 → 1

Compiler

Compiled 27546 to 18962 computations (31.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	36
1	18	36
2	18	36

end1.0ms (0%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

sample9.3s (64.1%)

Algorithm

1×

intervals

Results

2.7s	3905×	body	1024	valid
2.6s	3868×	body	1024	nan
998.0ms	1937×	body	512	valid
917.0ms	1990×	body	512	nan
645.0ms	488×	body	2048	valid
338.0ms	1014×	body	256	valid
313.0ms	995×	body	256	nan
114.0ms	656×	body	128	valid
1.0ms	6×	body	128	nan
1.0ms	1×	body	2048	nan
0.0ms	1×	body	128	overflowed

Compiler

Compiled 245 to 172 computations (29.8% saved)

Details

analyze1.6s (11.1%)

sample308.0ms (2.1%)

simplify47.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series56.0ms (0.4%)

rewrite40.0ms (0.3%)

simplify230.0ms (1.6%)

prune400.0ms (2.8%)

localize11.0ms (0.1%)

series48.0ms (0.3%)

rewrite19.0ms (0.1%)

simplify109.0ms (0.8%)

prune347.0ms (2.4%)

localize31.0ms (0.2%)

series32.0ms (0.2%)

rewrite20.0ms (0.1%)

simplify185.0ms (1.3%)

prune218.0ms (1.5%)

localize12.0ms (0.1%)

series46.0ms (0.3%)

rewrite14.0ms (0.1%)

simplify89.0ms (0.6%)

prune246.0ms (1.7%)

regimes1.1s (7.3%)

simplify3.0ms (0%)

end1.0ms (0%)

sample9.3s (64.1%)

Profiling