Details

analyze983.0ms (7.3%)

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)

sample224.0ms (1.7%)

Algorithm

1×

intervals

Results

70.0ms	138×	body	1024	valid
57.0ms	126×	body	1024	nan
23.0ms	68×	body	512	nan
20.0ms	56×	body	512	valid
14.0ms	11×	body	2048	valid
11.0ms	35×	body	256	nan
7.0ms	28×	body	256	valid
3.0ms	23×	body	128	valid

Compiler

Compiled 78 to 62 computations (20.5% saved)

simplify91.0ms (0.7%)

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

prune10.0ms (0.1%)

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)

localize24.0ms (0.2%)

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)))

rewrite682.0ms (5.1%)

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:

14.0ms	(/.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))))
13.0ms	(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)))))
8.0ms	(-.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 6589 to 4435 computations (32.7% saved)

series125.0ms (0.9%)

Error

2.9b

Counts

4 → 12

Calls

4 calls:

53.0ms	(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)))))
26.0ms	(/.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))))
22.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
10.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 1252 to 952 computations (24% saved)

simplify283.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-l_binary64`
570×	`times-frac_binary64`
550×	`associate-r_binary64`
231×	`associate-*l/_binary64`
217×	`exp-prod_binary64`

Counts

166 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	9231
1	582	8745
2	1393	8497
3	4061	8481
4	5541	8481

prune180.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	143	9	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	9	153

Error

2.7b

Counts

153 → 9

Alt Table

Status	Error	Program
	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))
	61.0b	(.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))
	3.7b	(.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))
	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 PI.f64) f)) (.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))) (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))
	3.8b	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
▶	3.7b	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.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 PI.f64) f)) (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))

Compiler

Compiled 5728 to 3905 computations (31.8% saved)

localize10.0ms (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)))

rewrite155.0ms (1.2%)

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:

13.0ms	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
8.0ms	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
4.0ms	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

Compiler

Compiled 1772 to 1280 computations (27.8% saved)

series50.0ms (0.4%)

Error

2.6b

Counts

3 → 6

Calls

3 calls:

22.0ms	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
17.0ms	(-.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)

simplify126.0ms (0.9%)

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

prune117.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	72	16	88

Error

2.5b

Counts

88 → 16

Alt Table

Status	Error	Program
	4.6b	(*.f64 (exp.f64 (log.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))) (/.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))
	61.0b	(.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))
	3.7b	(.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))
	4.0b	(cbrt.f64 (*.f64 -64 (pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) PI.f64) 3)))
	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))
	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)))
	13.4b	(log.f64 (pow.f64 (/.f64 (/.f64 4 PI.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)))))
	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 PI.f64) f)) (.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))) (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))
	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))
▶	3.6b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) 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))))))
	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 PI.f64) f)) (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))
	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))))

Compiler

Compiled 2207 to 1576 computations (28.6% saved)

localize9.0ms (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))

rewrite141.0ms (1%)

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:

15.0ms	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
8.0ms	(-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))
3.0ms	(log.f64 (/.f64 4 PI.f64))

Compiler

Compiled 1465 to 972 computations (33.7% saved)

series47.0ms (0.4%)

Error

2.5b

Counts

3 → 6

Calls

3 calls:

24.0ms	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) PI.f64)
18.0ms	(-.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)

simplify115.0ms (0.9%)

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

prune80.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	46	16	62

Error

2.5b

Counts

62 → 16

Alt Table

Status	Error	Program
	4.6b	(*.f64 (exp.f64 (log.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)))) (/.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))
	61.0b	(.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))
▶	3.7b	(.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))
	4.0b	(cbrt.f64 (*.f64 -64 (pow.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) PI.f64) 3)))
	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))
	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)))
	13.4b	(log.f64 (pow.f64 (/.f64 (/.f64 4 PI.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)))))
	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 PI.f64) f)) (.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))) (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))
	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))
✓	3.6b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) 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))))))
	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 PI.f64) f)) (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))
	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))))

Compiler

Compiled 1622 to 1166 computations (28.1% 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))))

rewrite243.0ms (1.8%)

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:

14.0ms	(/.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)))
10.0ms	(.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))
10.0ms	(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))))
7.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 3782 to 2552 computations (32.5% saved)

series98.0ms (0.7%)

Error

2.5b

Counts

4 → 12

Calls

4 calls:

35.0ms	(.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))
27.0ms	(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))))
15.0ms	(/.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)))
9.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 835 to 637 computations (23.7% saved)

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Counts

125 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	4630
1	587	3955
2	2029	3934
3	5305	3934

prune173.0ms (1.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	102	18	120

Error

2.5b

Counts

120 → 18

Alt Table

Status	Error	Program
	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)))
	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))
	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))
	61.0b	(.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)))
	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))
	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)))
	13.4b	(log.f64 (pow.f64 (/.f64 (/.f64 4 PI.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)))))
	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 PI.f64) f)) (.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))) (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))
	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))
	4.9b	(.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)))
	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))
	3.6b	(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f))) 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))))))
	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 PI.f64) f)) (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))
	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))))

Compiler

Compiled 3410 to 2348 computations (31.1% saved)

regimes2.2s (16.6%)

Accuracy

Total 1.0b remaining (36.9%)

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)

sample7.1s (52.9%)

Algorithm

1×

intervals

Results

1.9s	3878×	body	1024	valid
1.7s	3795×	body	1024	nan
718.0ms	2004×	body	512	valid
621.0ms	1906×	body	512	nan
527.0ms	511×	body	2048	valid
241.0ms	977×	body	256	valid
209.0ms	938×	body	256	nan
82.0ms	630×	body	128	valid
1.0ms	1×	body	2048	nan
0.0ms	1×	body	128	nan
0.0ms	1×	body	128	overflowed

Compiler

Compiled 722 to 540 computations (25.2% saved)

Details

analyze983.0ms (7.3%)

sample224.0ms (1.7%)

simplify91.0ms (0.7%)

prune10.0ms (0.1%)

localize24.0ms (0.2%)

rewrite682.0ms (5.1%)

series125.0ms (0.9%)

simplify283.0ms (2.1%)

prune180.0ms (1.3%)

localize10.0ms (0.1%)

rewrite155.0ms (1.2%)

series50.0ms (0.4%)

simplify126.0ms (0.9%)

prune117.0ms (0.9%)

localize9.0ms (0.1%)

rewrite141.0ms (1%)

series47.0ms (0.4%)

simplify115.0ms (0.9%)

prune80.0ms (0.6%)

localize18.0ms (0.1%)

rewrite243.0ms (1.8%)

series98.0ms (0.7%)

simplify126.0ms (0.9%)

prune173.0ms (1.3%)

regimes2.2s (16.6%)

simplify3.0ms (0%)

end1.0ms (0%)

sample7.1s (52.9%)

Profiling