Details

analyze1.3s (7.5%)

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)

sample11.3s (66.2%)

Results

3.6s	4009×	body	1024	valid
3.3s	3930×	body	1024	invalid
1.3s	2016×	body	512	valid
1.1s	1962×	body	512	invalid
831.0ms	494×	body	2048	valid
588.0ms	1029×	body	256	valid
373.0ms	961×	body	256	invalid
166.0ms	708×	body	128	valid
5.0ms	5×	body	2048	invalid
1.0ms	6×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% 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

60.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	60.8b	(.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

▶

60.8b

(*.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 (PI.f64) f)
✓	0.4b	(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)))))
✓	0.5b	(/.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))))
✓	6.5b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series586.0ms (3.4%)

Counts

4 → 48

Calls

4 calls:

544.0ms	(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)))))
31.0ms	(/.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)

rewrite51.0ms (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:

11.0ms	(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)))))
10.0ms	(/.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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
3.0ms	(*.f64 (PI.f64) f)

simplify283.0ms (1.7%)

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

prune318.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	292	7	299
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	293	7	300

Error

1.1b

Counts

300 → 7

Alt Table

Status	Error	Program
	60.8b	(.f64 (exp.f64 (log.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)))
▶	1.7b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	1.8b	(.f64 (log.f64 (-.f64 (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)))
	60.8b	(.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.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 (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)))
	60.8b	(.f64 (log.f64 (.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 1 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	2.1b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))

Compiler

Compiled 15364 to 9976 computations (35.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))
✓	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(*.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)))

series51.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

22.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
19.0ms	(log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))
6.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(*.f64 f (PI.f64))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
17×	`add-exp-log_binary64`
16×	`associate-r_binary64`

Counts

4 → 92

Calls

4 calls:

5.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
5.0ms	(/.f64 4 (*.f64 f (PI.f64)))
3.0ms	(*.f64 f (PI.f64))
1.0ms	(log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

551×	`associate-/r*_binary64`
454×	`fma-def_binary64`
382×	`fma-neg_binary64`
287×	`cancel-sign-sub-inv_binary64`
274×	`times-frac_binary64`

Counts

116 → 196

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3005
1	667	2698
2	2151	2681
3	4896	2673
4	5036	2673

prune238.0ms (1.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	218	9	227
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	220	14	234

Error

0.8b

Counts

234 → 14

Alt Table

Status	Error	Program
	1.8b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (exp.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	1.7b	(.f64 (-.f64 (+.f64 (.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	60.8b	(.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.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 (expm1.f64 (log1p.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)))
	60.8b	(.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)))
	1.8b	(.f64 (log.f64 (-.f64 (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)))
	60.8b	(.f64 (exp.f64 (log.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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 1 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	1.7b	(.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))))
	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)))))
	2.1b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	2.0b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))
	13.6b	(log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))

Compiler

Compiled 5981 to 3713 computations (37.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
✓	0.3b	(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
✓	0.4b	(.f64 (-.f64 (+.f64 (.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

series89.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(.f64 (-.f64 (+.f64 (.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
9.0ms	(.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
6.0ms	(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
0.0ms	(log.f64 (/.f64 4 (PI.f64)))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-exp-log_binary64`
47×	`add-sqr-sqrt_binary64`
30×	`prod-exp_binary64`
27×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`

Counts

4 → 147

Calls

4 calls:

17.0ms	(.f64 (-.f64 (+.f64 (.f64 1/48 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
6.0ms	(*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))
6.0ms	(.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
2.0ms	(log.f64 (/.f64 4 (PI.f64)))

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

383×	`fma-def_binary64`
352×	`associate-*l/_binary64`
345×	`times-frac_binary64`
286×	`associate-/r*_binary64`
259×	`associate-/l*_binary64`

Counts

159 → 214

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	3759
1	581	3424
2	2088	3340
3	4916	3334
4	4953	3334

prune301.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	214	14	228

Error

0.8b

Counts

228 → 14

Alt Table

Status	Error	Program
	1.8b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (exp.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))))))) (/.f64 -4 (PI.f64)))
	60.8b	(.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.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 (expm1.f64 (log1p.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)))
	60.8b	(.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)))
	1.8b	(.f64 (log.f64 (-.f64 (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)))
	60.8b	(.f64 (exp.f64 (log.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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 1 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	1.7b	(.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))))
	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)))))
	2.0b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))
	1.8b	(/.f64 (.f64 -4 (-.f64 (.f64 (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))) (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (log.f64 f) (log.f64 f)))) (.f64 (PI.f64) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (log.f64 (/.f64 4 (PI.f64)))))))
	13.6b	(log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))
▶	1.7b	(neg.f64 (fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))

Compiler

Compiled 7204 to 5037 computations (30.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series527.0ms (3.1%)

Counts

3 → 28

Calls

3 calls:

266.0ms	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
258.0ms	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
3.0ms	(.f64 1/12 (.f64 f f))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
38×	`pow1_binary64`
35×	`add-cube-cbrt_binary64`
33×	`times-frac_binary64`

Counts

3 → 132

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
7.0ms	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
4.0ms	(.f64 1/12 (.f64 f f))

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

978×	`fma-neg_binary64`
519×	`fma-def_binary64`
484×	`associate-r_binary64`
170×	`div-sub_binary64`
158×	`distribute-rgt-in_binary64`

Counts

160 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2921
1	412	2728
2	1184	2629
3	3867	2629
4	4897	2629
5	4906	2629

prune215.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	164	14	178

Error

0.8b

Counts

178 → 14

Alt Table

Status	Error	Program
	2.4b	(.f64 (expm1.f64 (log1p.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)))
	1.8b	(neg.f64 (fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (log.f64 f))) (PI.f64)))))
	60.8b	(.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)))
	1.8b	(.f64 (log.f64 (-.f64 (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)))
	60.8b	(.f64 (exp.f64 (log.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 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 1 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	1.7b	(.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))))
	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	(neg.f64 (fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (.f64 4 (/.f64 (-.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (log.f64 f) (log.f64 f))) (.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
	2.0b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))
	13.6b	(log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))
✓	1.7b	(neg.f64 (fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))

Compiler

Compiled 4910 to 2976 computations (39.4% saved)

regimes1.0s (6%)

Accuracy

Total 0.7b remaining (31.1%)

Threshold costs 0.7b (31.1%)

Counts

154 → 1

Compiler

Compiled 26484 to 19436 computations (26.6% 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

end277.0ms (1.6%)

Compiler: Compiled 477 to 347 computations (27.3% saved)

Details

analyze1.3s (7.5%)

sample11.3s (66.2%)

simplify47.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series586.0ms (3.4%)

rewrite51.0ms (0.3%)

simplify283.0ms (1.7%)

prune318.0ms (1.9%)

localize9.0ms (0.1%)

series51.0ms (0.3%)

rewrite18.0ms (0.1%)

simplify100.0ms (0.6%)

prune238.0ms (1.4%)

localize15.0ms (0.1%)

series89.0ms (0.5%)

rewrite40.0ms (0.2%)

simplify126.0ms (0.7%)

prune301.0ms (1.8%)

localize13.0ms (0.1%)

series527.0ms (3.1%)

rewrite30.0ms (0.2%)

simplify128.0ms (0.7%)

prune215.0ms (1.3%)

regimes1.0s (6%)

simplify3.0ms (0%)

end277.0ms (1.6%)

Profiling