Details

analyze1.5s (2.5%)

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)

sample276.0ms (0.4%)

Algorithm

1×

intervals

Results

88.0ms	119×	body	1024	valid
72.0ms	111×	body	1024	nan
37.0ms	72×	body	512	valid
28.0ms	55×	body	512	nan
14.0ms	10×	body	2048	valid
12.0ms	34×	body	256	valid
8.0ms	26×	body	256	nan
4.0ms	21×	body	128	valid

Compiler

Compiled 78 to 62 computations (20.5% saved)

simplify68.0ms (0.1%)

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

61.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (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

▶

61.5b

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (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%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 PI.f64 f)
✓	0.2b	(*.f64 (/.f64 PI.f64 4) f)
✓	1.2b	(/.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))))
✓	5.7b	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))

rewrite79.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-cube-cbrt_binary64`
30×	`pow1_binary64`
26×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`

Counts

4 → 172

Calls

4 calls:

21.0ms	(/.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))))
17.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
17.0ms	(*.f64 (/.f64 PI.f64 4) f)
12.0ms	(*.f64 PI.f64 f)

series126.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

100.0ms	(/.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 (/.f64 PI.f64 4) f)
8.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
8.0ms	(*.f64 PI.f64 f)

simplify140.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

368×	`associate-r_binary64`
312×	`associate-l_binary64`
265×	`fma-def_binary64`
257×	`times-frac_binary64`
227×	`associate-+r+_binary64`

Counts

220 → 363

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	416	7694
1	1189	6598
2	4999	6598

prune459.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	359	4	363
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	4	364

Error

1.8b

Counts

364 → 4

Alt Table

Status	Error	Program
	2.2b	(.f64 (log.f64 (-.f64 (fma.f64 1/6 (/.f64 (.f64 f (.f64 f (.f64 (pow.f64 PI.f64 3) -1/64))) (.f64 PI.f64 1/2)) (fma.f64 1/512 (/.f64 (.f64 f (pow.f64 PI.f64 4)) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 7/12 (/.f64 (.f64 (.f64 f f) (.f64 (pow.f64 PI.f64 5) -1/1024)) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 1/8 (/.f64 (.f64 f (.f64 1/16 (pow.f64 PI.f64 3))) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) 1/256)) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 3/1024 (/.f64 (.f64 (.f64 f f) (.f64 1/16 (pow.f64 PI.f64 6))) (pow.f64 (.f64 PI.f64 1/2) 4)) (fma.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 2) 1/16)) (.f64 PI.f64 1/2)) (fma.f64 1/384 (/.f64 (.f64 f (.f64 f (pow.f64 PI.f64 3))) (.f64 PI.f64 1/2)) (fma.f64 7/12288 (/.f64 (.f64 (.f64 f f) (pow.f64 PI.f64 5)) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 1/1024 (/.f64 (.f64 -1/4 (.f64 (.f64 f f) (pow.f64 PI.f64 5))) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 1/24 (/.f64 (.f64 (.f64 f f) (.f64 -1/64 (pow.f64 PI.f64 4))) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 1/4 (/.f64 (.f64 (.f64 f f) (.f64 (pow.f64 PI.f64 6) 1/4096)) (pow.f64 (.f64 PI.f64 1/2) 4)) (fma.f64 1/16 (/.f64 (.f64 (.f64 f f) (.f64 1/256 (pow.f64 PI.f64 5))) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 1/2 (/.f64 (.f64 f (.f64 f (.f64 (pow.f64 PI.f64 4) 1/256))) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 1/4 (/.f64 PI.f64 (.f64 PI.f64 1/2)) (+.f64 (/.f64 2 (.f64 f (.f64 PI.f64 1/2))) (fma.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 1/32 (/.f64 (.f64 f (pow.f64 PI.f64 2)) (.f64 PI.f64 1/2)) (fma.f64 5/6 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) -1/64)) (pow.f64 (.f64 PI.f64 1/2) 2)) (.f64 (/.f64 PI.f64 (.f64 PI.f64 1/2)) -1/4)))))))))))))))))))) (fma.f64 1/32 (/.f64 (.f64 f (.f64 -1/4 (pow.f64 PI.f64 3))) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 1/16 (/.f64 (.f64 f (.f64 1/16 (pow.f64 PI.f64 4))) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 5/384 (/.f64 (.f64 f (pow.f64 PI.f64 3)) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 5/96 (/.f64 (.f64 (.f64 f f) (.f64 -1/64 (pow.f64 PI.f64 5))) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 1/384 (/.f64 (.f64 (.f64 f f) (.f64 -1/4 (pow.f64 PI.f64 4))) (pow.f64 (.f64 PI.f64 1/2) 2)) (fma.f64 3/64 (/.f64 (.f64 (.f64 f f) (.f64 1/256 (pow.f64 PI.f64 6))) (pow.f64 (.f64 PI.f64 1/2) 4)) (fma.f64 5/384 (/.f64 (.f64 (.f64 f f) (.f64 1/16 (pow.f64 PI.f64 5))) (pow.f64 (.f64 PI.f64 1/2) 3)) (fma.f64 1/512 (/.f64 (.f64 f (.f64 f (pow.f64 PI.f64 4))) (pow.f64 (.f64 PI.f64 1/2) 2)) (.f64 1/16384 (/.f64 (.f64 (.f64 f f) (pow.f64 PI.f64 6)) (pow.f64 (*.f64 PI.f64 1/2) 4)))))))))))))) (/.f64 -4 PI.f64))
▶	2.2b	(.f64 (log.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/512 (/.f64 (.f64 f (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 7/12 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 5))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 3/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 3)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 7/12288 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 5)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 6))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 PI.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4))))))) (+.f64 (/.f64 (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2)) (+.f64 (.f64 1/32 (/.f64 (.f64 f (pow.f64 PI.f64 2)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 5/6 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (/.f64 (.f64 PI.f64 (log.f64 (exp.f64 -1/4))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))))))))))))))))))))) (+.f64 (.f64 1/32 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 5/384 (/.f64 (.f64 f (pow.f64 PI.f64 3)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 5/96 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 3/64 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 5/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/512 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (.f64 1/16384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 6)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (*.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)))))))))))))) (/.f64 -4 PI.f64))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 PI.f64 4)) (.f64 2 f)) (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 f PI.f64)))) (+.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	61.5b	(.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))

Compiler

Compiled 16123 to 11404 computations (29.3% saved)

localize208.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)
✓	1.6b	(pow.f64 PI.f64 6)
	1.6b	(pow.f64 PI.f64 4)
✓	1.6b	(pow.f64 PI.f64 4)

rewrite45.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-cube-cbrt_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64`
9×	`pow-to-exp_binary64`
9×	`sqr-pow_binary64`

Counts

3 → 111

Calls

3 calls:

15.0ms	(pow.f64 PI.f64 4)
14.0ms	(pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)
11.0ms	(pow.f64 PI.f64 6)

series0.0ms (0%)

Counts

3 → 0

Calls

3 calls:

0.0ms	(pow.f64 PI.f64 4)
0.0ms	(pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)
0.0ms	(pow.f64 PI.f64 6)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

897×	`log-prod_binary64`
364×	`exp-prod_binary64`
323×	`distribute-rgt-in_binary64`
310×	`associate-l_binary64`
283×	`associate-r_binary64`

Counts

111 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	881
1	154	619
2	330	583
3	1560	583
4	4790	583
5	5694	583

prune5.3s (8.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	215	3	218

Error

1.8b

Counts

218 → 3

Alt Table

Status	Error	Program
▶	2.2b	(.f64 (log.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/512 (/.f64 (.f64 f (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 7/12 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 5))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 3/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6)) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 3)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 7/12288 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 5)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 6))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 PI.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4))))))) (+.f64 (/.f64 (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2)) (+.f64 (.f64 1/32 (/.f64 (.f64 f (pow.f64 PI.f64 2)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 5/6 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (/.f64 (.f64 PI.f64 (log.f64 (exp.f64 -1/4))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))))))))))))))))))))) (+.f64 (.f64 1/32 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 5/384 (/.f64 (.f64 f (pow.f64 PI.f64 3)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 5/96 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 3/64 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 5/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/512 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (.f64 1/16384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 6)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)))))))))))))) (/.f64 -4 PI.f64))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 PI.f64 4)) (.f64 2 f)) (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 f PI.f64)))) (+.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	61.5b	(.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))

Compiler

Compiled 104799 to 87794 computations (16.2% saved)

localize416.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(pow.f64 PI.f64 4)
	1.6b	(pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)
	1.6b	(pow.f64 PI.f64 4)
	1.6b	(pow.f64 PI.f64 4)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune6.6s (10.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	786	1	787
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	787	3	790

Error

1.8b

Counts

790 → 3

Alt Table

Status	Error	Program
▶	2.2b	(.f64 (log.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/512 (/.f64 (.f64 f (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 7/12 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 5))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 3/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6)) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 3)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 7/12288 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 5)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 4) (cbrt.f64 4))) (cbrt.f64 4)) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 6))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 PI.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4))))))) (+.f64 (/.f64 (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2)) (+.f64 (.f64 1/32 (/.f64 (.f64 f (pow.f64 PI.f64 2)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 5/6 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (/.f64 (.f64 PI.f64 (log.f64 (exp.f64 -1/4))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))))))))))))))))))))) (+.f64 (.f64 1/32 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 5/384 (/.f64 (.f64 f (pow.f64 PI.f64 3)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 5/96 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 3/64 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 5/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/512 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (.f64 1/16384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 6)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (*.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)))))))))))))) (/.f64 -4 PI.f64))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 PI.f64 4)) (.f64 2 f)) (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 f PI.f64)))) (+.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	61.5b	(.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))

Compiler

Compiled 107267 to 90027 computations (16.1% saved)

localize438.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(pow.f64 (pow.f64 PI.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 4))) (cbrt.f64 4))
	1.6b	(pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)
	1.6b	(pow.f64 PI.f64 4)
	1.6b	(pow.f64 PI.f64 4)

rewrite30.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cube-cbrt_binary64`
6×	`unpow-prod-down_binary64`
4×	`pow-to-exp_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`sqr-pow_binary64`

Counts

1 → 37

Calls

1 calls:

25.0ms

(pow.f64 (pow.f64 PI.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 4))) (cbrt.f64 4))

series0.0ms (0%)

Counts

1 → 0

Calls

1 calls:

0.0ms

(pow.f64 (pow.f64 PI.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 4))) (cbrt.f64 4))

simplify213.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

678×	`unswap-sqr_binary64`
549×	`fma-def_binary64`
496×	`distribute-rgt-in_binary64`
361×	`*-commutative_binary64`
328×	`associate-l_binary64`

Counts

37 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	533
1	74	514
2	156	508
3	389	502
4	1099	502
5	2846	502
6	4975	502
7	4994	502
8	5045	502

prune8.2s (13%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2661	2	2663
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	2662	4	2666

Error

1.8b

Counts

2666 → 4

Alt Table

Status	Error	Program
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 PI.f64 4)) (.f64 2 f)) (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 f PI.f64)))) (+.f64 (exp.f64 (.f64 f (/.f64 PI.f64 4))) (pow.f64 (exp.f64 -1/4) (.f64 f PI.f64)))))) (/.f64 -4 PI.f64))
	2.2b	(.f64 (log.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/512 (/.f64 (.f64 f (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 7/12 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 5))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 3/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6)) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 3)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 7/12288 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 5)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 4) (cbrt.f64 4))))) (cbrt.f64 4)) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 6))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 PI.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4))))))) (+.f64 (/.f64 (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2)) (+.f64 (.f64 1/32 (/.f64 (.f64 f (pow.f64 PI.f64 2)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 5/6 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (/.f64 (.f64 PI.f64 (log.f64 (exp.f64 -1/4))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))))))))))))))))))))) (+.f64 (.f64 1/32 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 5/384 (/.f64 (.f64 f (pow.f64 PI.f64 3)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 5/96 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 3/64 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 5/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/512 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (.f64 1/16384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 6)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (*.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)))))))))))))) (/.f64 -4 PI.f64))
	2.2b	(.f64 (log.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/512 (/.f64 (.f64 f (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 7/12 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 5))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 3/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 6) (cbrt.f64 6))) (cbrt.f64 6)) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (pow.f64 (.f64 PI.f64 1/2) (.f64 (cbrt.f64 4) (cbrt.f64 4))) (cbrt.f64 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 3)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 7/12288 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 5)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (pow.f64 PI.f64 (.f64 (cbrt.f64 4) (cbrt.f64 4))) (cbrt.f64 4)) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 6))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/4 (/.f64 PI.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4))))))) (+.f64 (/.f64 (.f64 (pow.f64 PI.f64 2) (pow.f64 (log.f64 (exp.f64 -1/4)) 2)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2)) (+.f64 (.f64 1/32 (/.f64 (.f64 f (pow.f64 PI.f64 2)) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))) (+.f64 (.f64 5/6 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (/.f64 (.f64 PI.f64 (log.f64 (exp.f64 -1/4))) (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))))))))))))))))))))))) (+.f64 (.f64 1/32 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 3) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 f (.f64 (pow.f64 PI.f64 4) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 5/384 (/.f64 (.f64 f (pow.f64 PI.f64 3)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 5/96 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 3))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 PI.f64 2) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 1/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 4) (log.f64 (exp.f64 -1/4)))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (+.f64 (.f64 3/64 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 6) (pow.f64 (log.f64 (exp.f64 -1/4)) 4))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4))) (+.f64 (.f64 5/384 (/.f64 (.f64 (pow.f64 f 2) (.f64 (pow.f64 PI.f64 5) (pow.f64 (log.f64 (exp.f64 -1/4)) 2))) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 3))) (+.f64 (.f64 1/512 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 4)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 2))) (.f64 1/16384 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 PI.f64 6)) (pow.f64 (-.f64 (.f64 1/4 PI.f64) (*.f64 PI.f64 (log.f64 (exp.f64 -1/4)))) 4)))))))))))))) (/.f64 -4 PI.f64))
	61.5b	(.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))

Compiler

Compiled 108301 to 91090 computations (15.9% saved)

regimes28.1s (44.6%)

Accuracy

Total 0.4b remaining (15.6%)

Threshold costs 0.4b (15.6%)

Compiler

Compiled 808104 to 677888 computations (16.1% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

130×	`*-commutative_binary64`
87×	`+-commutative_binary64`
59×	`sub-neg_binary64`
57×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1242
1	300	1242
2	316	1242
3	341	1242
4	371	1242
5	409	1242
6	457	1242
7	508	1242
8	559	1242
9	610	1242
10	658	1242
11	713	1242
12	752	1242
13	787	1242
14	801	1242
15	806	1242
16	797	1242

end16.0ms (0%)

Compiler: Compiled 733 to 618 computations (15.7% saved)

sample10.4s (16.6%)

Algorithm

1×

intervals

Results

2.6s	3891×	body	1024	valid
2.4s	3812×	body	1024	nan
966.0ms	1987×	body	512	valid
892.0ms	1901×	body	512	nan
602.0ms	486×	body	2048	valid
318.0ms	970×	body	256	valid
284.0ms	928×	body	256	nan
124.0ms	666×	body	128	valid
0.0ms	2×	body	128	nan
0.0ms	2×	body	128	overflowed

Compiler

Compiled 2325 to 1952 computations (16% saved)

Details

analyze1.5s (2.5%)

sample276.0ms (0.4%)

simplify68.0ms (0.1%)

prune4.0ms (0%)

localize14.0ms (0%)

rewrite79.0ms (0.1%)

series126.0ms (0.2%)

simplify140.0ms (0.2%)

prune459.0ms (0.7%)

localize208.0ms (0.3%)

rewrite45.0ms (0.1%)

series0.0ms (0%)

simplify85.0ms (0.1%)

prune5.3s (8.5%)

localize416.0ms (0.7%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify34.0ms (0.1%)

prune6.6s (10.5%)

localize438.0ms (0.7%)

rewrite30.0ms (0%)

series0.0ms (0%)

simplify213.0ms (0.3%)

prune8.2s (13%)

regimes28.1s (44.6%)

simplify89.0ms (0.1%)

end16.0ms (0%)

sample10.4s (16.6%)

Profiling