Details

analyze1.4s (8.8%)

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)

sample316.0ms (2%)

Algorithm

1×

intervals

Results

112.0ms	126×	body	1024	nan
88.0ms	138×	body	1024	valid
31.0ms	68×	body	512	nan
25.0ms	56×	body	512	valid
16.0ms	11×	body	2048	valid
15.0ms	35×	body	256	nan
8.0ms	28×	body	256	valid
4.0ms	23×	body	128	valid

Compiler

Compiled 78 to 62 computations (20.5% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

520×	`sub-neg_binary64`
373×	`div-sub_binary64`
267×	`log-prod_binary64`
240×	`associate-/r*_binary64`
225×	`sqr-pow_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	117	59
3	292	55
4	689	55
5	1392	55
6	3381	55
7	4578	55
8	4212	55
9	4795	55

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	61.0b	(.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

▶

61.0b

(*.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 99 to 72 computations (27.3% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 PI.f64 4) f)
0.5b	(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)))))
1.5b	(/.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))))
5.4b	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))

rewrite677.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

60.8b

Rules

94×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
66×	`times-frac_binary64`
39×	`add-cube-cbrt_binary64`
34×	`log-prod_binary64`

Counts

4 → 154

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))))
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)))))
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)))

Compiler

Compiled 6589 to 4435 computations (32.7% saved)

series265.0ms (1.7%)

Error

2.9b

Counts

4 → 12

Calls

4 calls:

220.0ms	(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)))))
20.0ms	(/.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)))
7.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 1182 to 909 computations (23.1% saved)

simplify276.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
568×	`times-frac_binary64`
549×	`associate-r_binary64`
231×	`associate-*l/_binary64`
211×	`exp-prod_binary64`

Counts

166 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	9231
1	576	8745
2	1386	8497
3	4037	8481
4	5506	8481

prune179.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	142	10	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	10	153

Error

2.7b

Counts

153 → 10

Alt Table

Status	Error	Program
▶	3.7b	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
	3.8b	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
	3.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
	61.0b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	61.1b	(.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (.f64 f PI.f64))))) (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (-.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	60.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (.f64 f PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 f (/.f64 PI.f64 4))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) 3)) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64))))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 (pow.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))) 3)))) (/.f64 -4 PI.f64))
	61.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (log.f64 (exp.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))

Compiler

Compiled 5800 to 3961 computations (31.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
0.4b	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
2.0b	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

rewrite137.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

26×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
17×	`log-prod_binary64`
17×	`add-cube-cbrt_binary64`
16×	`times-frac_binary64`

Counts

3 → 91

Calls

3 calls:

11.0ms	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
6.0ms	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
3.0ms	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

Compiler

Compiled 1772 to 1280 computations (27.8% saved)

series39.0ms (0.3%)

Error

2.6b

Counts

3 → 6

Calls

3 calls:

18.0ms	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
15.0ms	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
0.0ms	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

Compiler

Compiled 253 to 211 computations (16.6% saved)

simplify175.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

508×	`associate-l_binary64`
451×	`associate-r_binary64`
354×	`distribute-rgt-in_binary64`
338×	`distribute-lft-in_binary64`
231×	`associate-*r/_binary64`

Counts

97 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2159
1	369	1740
2	1122	1732
3	4644	1732
4	4963	1732
5	4937	1732

prune87.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	72	17	89

Error

2.5b

Counts

89 → 17

Alt Table

Status	Error	Program
	4.0b	(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 PI.f64)) 3) (pow.f64 (log.f64 f) 3))) (.f64 PI.f64 (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (/.f64 4 PI.f64)) (+.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))))))
	3.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
	61.1b	(.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (.f64 f PI.f64))))) (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (-.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	13.4b	(log.f64 (pow.f64 (/.f64 (/.f64 4 PI.f64) f) (/.f64 -4 PI.f64)))
	5.0b	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) (*.f64 (cbrt.f64 (/.f64 -4 PI.f64)) (cbrt.f64 (/.f64 -4 PI.f64)))) (cbrt.f64 (/.f64 -4 PI.f64)))
	61.0b	(.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 (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64))))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	4.0b	(cbrt.f64 (*.f64 -64 (pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) PI.f64) 3)))
▶	3.6b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
	61.0b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	3.8b	(.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (.f64 2 (log.f64 (cbrt.f64 f)))) (log.f64 (cbrt.f64 f))) (/.f64 -4 PI.f64))
	4.0b	(.f64 (sqrt.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f))) (*.f64 (/.f64 -4 PI.f64) (sqrt.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))))
	4.6b	(*.f64 (exp.f64 (log.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))) (/.f64 -4 PI.f64))
	3.9b	(/.f64 (.f64 -4 (-.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))))
	60.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (.f64 f PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 f (/.f64 PI.f64 4))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) 3)) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 (pow.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))) 3)))) (/.f64 -4 PI.f64))
	61.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (log.f64 (exp.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))

Compiler

Compiled 2279 to 1632 computations (28.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))
0.3b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
2.0b	(log.f64 (/.f64 4 PI.f64))

rewrite103.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

29×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 84

Calls

3 calls:

9.0ms	(/.f64 (*.f64 -4 (-.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	(log.f64 (/.f64 4 PI.f64))

Compiler

Compiled 1465 to 972 computations (33.7% saved)

series38.0ms (0.2%)

Error

2.5b

Counts

3 → 6

Calls

3 calls:

20.0ms	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
15.0ms	(-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))
0.0ms	(log.f64 (/.f64 4 PI.f64))

Compiler

Compiled 253 to 211 computations (16.6% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

379×	`sub-neg_binary64`
299×	`associate-/l*_binary64`
292×	`distribute-rgt-in_binary64`
282×	`associate-l_binary64`
276×	`distribute-lft-in_binary64`

Counts

90 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1623
1	366	1473
2	1036	1451
3	3939	1445
4	4635	1445
5	4860	1445

prune59.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	46	17	63

Error

2.5b

Counts

63 → 17

Alt Table

Status	Error	Program
	4.0b	(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 PI.f64)) 3) (pow.f64 (log.f64 f) 3))) (.f64 PI.f64 (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (/.f64 4 PI.f64)) (+.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))))))
▶	3.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
	61.1b	(.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (.f64 f PI.f64))))) (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (-.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	13.4b	(log.f64 (pow.f64 (/.f64 (/.f64 4 PI.f64) f) (/.f64 -4 PI.f64)))
	5.0b	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) (*.f64 (cbrt.f64 (/.f64 -4 PI.f64)) (cbrt.f64 (/.f64 -4 PI.f64)))) (cbrt.f64 (/.f64 -4 PI.f64)))
	61.0b	(.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 (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64))))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	4.0b	(cbrt.f64 (*.f64 -64 (pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) PI.f64) 3)))
✓	3.6b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
	61.0b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	3.8b	(.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (.f64 2 (log.f64 (cbrt.f64 f)))) (log.f64 (cbrt.f64 f))) (/.f64 -4 PI.f64))
	4.0b	(.f64 (sqrt.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f))) (*.f64 (/.f64 -4 PI.f64) (sqrt.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))))
	4.6b	(*.f64 (exp.f64 (log.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))) (/.f64 -4 PI.f64))
	3.9b	(/.f64 (.f64 -4 (-.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))))
	60.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (.f64 f PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 f (/.f64 PI.f64 4))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) 3)) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))))) (/.f64 -4 PI.f64))
	61.0b	(.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 (pow.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))) 3)))) (/.f64 -4 PI.f64))
	61.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (log.f64 (exp.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))

Compiler

Compiled 1694 to 1222 computations (27.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 PI.f64 4) f)
0.3b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (.f64 PI.f64 1/2)))
0.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
1.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (.f64 PI.f64 1/2))))

rewrite175.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

34×	`add-sqr-sqrt_binary64`
33×	`add-exp-log_binary64`
30×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`

Counts

4 → 113

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 f (.f64 PI.f64 1/2)))
7.0ms	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (.f64 PI.f64 1/2))))
5.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 3782 to 2552 computations (32.5% saved)

series121.0ms (0.8%)

Error

2.5b

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
22.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (.f64 PI.f64 1/2))))
12.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (.f64 f (.f64 PI.f64 1/2)))
6.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 809 to 620 computations (23.4% saved)

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-/l*_binary64`
402×	`distribute-rgt-in_binary64`
382×	`distribute-lft-in_binary64`
245×	`associate-/l/_binary64`
202×	`associate-l_binary64`

Counts

125 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	4630
1	581	3955
2	2028	3934
3	5294	3934

prune132.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	102	19	121

Error

2.5b

Counts

121 → 19

Alt Table

Status	Error	Program
	3.8b	(.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) f)) (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
	4.0b	(cbrt.f64 (*.f64 -64 (pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) PI.f64) 3)))
	4.5b	(.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (.f64 f (.f64 PI.f64 1/2))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (.f64 f (.f64 PI.f64 1/2)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (.f64 f (*.f64 PI.f64 1/2)))))) (/.f64 -4 PI.f64))
	4.0b	(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 PI.f64)) 3) (pow.f64 (log.f64 f) 3))) (.f64 PI.f64 (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (/.f64 4 PI.f64)) (+.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))))))
	61.1b	(.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (+.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (.f64 f PI.f64))))) (log.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4))))) (-.f64 (sqrt.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (pow.f64 (sqrt.f64 (exp.f64 -1/4)) (*.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	13.4b	(log.f64 (pow.f64 (/.f64 (/.f64 4 PI.f64) f) (/.f64 -4 PI.f64)))
	4.0b	(cbrt.f64 (/.f64 -64 (pow.f64 (/.f64 PI.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (.f64 f (.f64 PI.f64 1/2))))) 3)))
	60.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (.f64 f PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))) (/.f64 -4 PI.f64))
	4.9b	(.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (.f64 f (.f64 PI.f64 1/2)))) (*.f64 (cbrt.f64 (/.f64 -4 PI.f64)) (cbrt.f64 (/.f64 -4 PI.f64)))) (cbrt.f64 (/.f64 -4 PI.f64)))
	61.0b	(.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 f (/.f64 PI.f64 4))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) 3)) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) PI.f64)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (*.f64 f (/.f64 PI.f64 4))))))))) (/.f64 -4 PI.f64))
	5.0b	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) (*.f64 (cbrt.f64 (/.f64 -4 PI.f64)) (cbrt.f64 (/.f64 -4 PI.f64)))) (cbrt.f64 (/.f64 -4 PI.f64)))
	61.0b	(.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 (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64))))) (cbrt.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	3.6b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
	61.0b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)) (exp.f64 (.f64 f (/.f64 PI.f64 4)))) (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))
	3.8b	(.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (.f64 2 (log.f64 (cbrt.f64 f)))) (log.f64 (cbrt.f64 f))) (/.f64 -4 PI.f64))
	4.0b	(.f64 (sqrt.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f))) (*.f64 (/.f64 -4 PI.f64) (sqrt.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))))
	3.9b	(/.f64 (.f64 -4 (-.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))))
	61.0b	(.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 (pow.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))) 3)))) (/.f64 -4 PI.f64))
	61.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (log.f64 (exp.f64 (-.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (*.f64 f PI.f64))))))) (/.f64 -4 PI.f64))

Compiler

Compiled 3446 to 2376 computations (31.1% saved)

regimes1.7s (11.1%)

Accuracy

Total 1.0b remaining (36.8%)

Threshold costs 0b (0%)

Compiler

Compiled 45396 to 34442 computations (24.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	26	41
2	26	41

end1.0ms (0%)

Compiler: Compiled 25 to 19 computations (24% saved)

sample9.2s (59.6%)

Algorithm

1×

intervals

Results

2.6s	3878×	body	1024	valid
2.4s	3795×	body	1024	nan
958.0ms	2004×	body	512	valid
853.0ms	1906×	body	512	nan
657.0ms	511×	body	2048	valid
349.0ms	977×	body	256	valid
277.0ms	938×	body	256	nan
105.0ms	630×	body	128	valid
1.0ms	1×	body	2048	nan
0.0ms	1×	body	128	nan
0.0ms	1×	body	128	overflowed

Compiler

Compiled 758 to 568 computations (25.1% saved)

Details

analyze1.4s (8.8%)

sample316.0ms (2%)

simplify80.0ms (0.5%)

prune4.0ms (0%)

localize58.0ms (0.4%)

rewrite677.0ms (4.4%)

series265.0ms (1.7%)

simplify276.0ms (1.8%)

prune179.0ms (1.2%)

localize15.0ms (0.1%)

rewrite137.0ms (0.9%)

series39.0ms (0.3%)

simplify175.0ms (1.1%)

prune87.0ms (0.6%)

localize8.0ms (0.1%)

rewrite103.0ms (0.7%)

series38.0ms (0.2%)

simplify103.0ms (0.7%)

prune59.0ms (0.4%)

localize18.0ms (0.1%)

rewrite175.0ms (1.1%)

series121.0ms (0.8%)

simplify108.0ms (0.7%)

prune132.0ms (0.9%)

regimes1.7s (11.1%)

simplify3.0ms (0%)

end1.0ms (0%)

sample9.2s (59.6%)

Profiling