Details

analyze583.0ms (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 41 to 24 computations (41.5% saved)

sample3.0s (20.8%)

Results

2.6s	7774×	body	256	valid
205.0ms	1225×	body	128	invalid
87.0ms	482×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify193.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-neg_binary64`
636×	`times-frac_binary64`
620×	`div-sub_binary64`
565×	`unsub-neg_binary64`
481×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	54	50
2	144	50
3	406	48
4	826	48
5	1523	48
6	1911	48
7	2632	48
8	2589	48
9	2971	48
10	3625	48
11	4193	48
12	4375	48
13	4485	48
14	4533	48
15	4557	48
16	4607	48
17	4882	48
18	4848	48

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

38.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
▶	38.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))

Status

Error

Program

38.1b

(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))

▶

38.1b

(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))

Compiler

Compiled 219 to 116 computations (47% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (.f64 g g) (.f64 h h))
✓	9.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	10.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.2s (8.6%)

Counts

4 → 120

Calls

4 calls:

631.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
580.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
13.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`prod-diff_binary64`
204×	`add-sqr-sqrt_binary64`
196×	`log1p-expm1-u_binary64`
196×	`expm1-log1p-u_binary64`
193×	`add-cube-cbrt_binary64`

Counts

4 → 121

Calls

4 calls:

86.0ms	(-.f64 (.f64 g g) (.f64 h h))
86.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
86.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
86.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	409	68
2	4843	68
3	6030	68

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

350×	`associate-r_binary64`
325×	`times-frac_binary64`
273×	`fma-neg_binary64`
247×	`*-commutative_binary64`
243×	`fma-def_binary64`

Counts

241 → 271

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	5670
1	1260	5468
2	4531	5278
3	5054	5278

prune998.0ms (6.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	369	17	386
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	370	18	388

Error

32.4b

Counts

388 → 18

Alt Table

Status	Error	Program
	38.3b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 a 2)))) 3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	48.0b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.2b	(+.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	38.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) 3))
	35.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	35.6b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1 (.f64 a 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	54.3b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (exp.f64 (-.f64 (log.f64 (.f64 -1/2 (/.f64 (.f64 h h) a))) (log.f64 g))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
▶	35.5b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	61.1b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (+.f64 (.f64 2 (log.f64 h)) (log.f64 (/.f64 -1/2 (.f64 a g)))))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	54.5b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	52.3b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 (/.f64 -1 a)))))))
	49.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	52.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (.f64 h h) a))))))))
	57.7b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g))))))
	57.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	43.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))

Compiler

Compiled 19156 to 9950 computations (48.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.4b	(-.f64 (.f64 g g) (.f64 h h))
	10.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series14.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

14.0ms

(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`fma-def_binary64`
443×	`log-prod_binary64`
325×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Counts

1 → 100

Calls

1 calls:

58.0ms

(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	188	15
2	2466	14
3	5332	14

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

447×	`distribute-neg-frac_binary64`
443×	`times-frac_binary64`
253×	`div-sub_binary64`
232×	`associate-/l*_binary64`
229×	`fma-def_binary64`

Counts

124 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	618
1	249	598
2	787	584
3	3540	584
4	4802	584
5	5086	584

prune1.5s (10.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	438	8	446
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	444	20	464

Error

31.4b

Counts

464 → 20

Alt Table

Status	Error	Program
	44.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -2 g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
▶	33.5b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	61.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.3b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.3b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 a 2)))) 3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	51.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (neg.f64 (cbrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	48.0b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.2b	(+.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	38.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) 3))
	57.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	57.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	43.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	55.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) (pow.f64 g 3)) (/.f64 1 (fma.f64 g (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (-.f64 (.f64 g g) (.f64 h h)))) (fma.f64 (neg.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 g) 2) g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	61.1b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (+.f64 (.f64 2 (log.f64 h)) (log.f64 (/.f64 -1/2 (.f64 a g)))))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	35.6b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1 (.f64 a 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	49.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	52.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (.f64 h h) a))))))))
	38.3b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))

Compiler

Compiled 20892 to 9480 computations (54.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.4b	(-.f64 (.f64 g g) (.f64 h h))
	30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series13.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
435×	`log-prod_binary64`
336×	`fma-neg_binary64`
164×	`expm1-udef_binary64`
164×	`log1p-udef_binary64`

Counts

1 → 52

Calls

1 calls:

52.0ms

(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	187	15
2	2454	14
3	5280	14

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

539×	`fma-neg_binary64`
463×	`times-frac_binary64`
439×	`distribute-neg-frac_binary64`
284×	`div-sub_binary64`
235×	`associate-/r*_binary64`

Counts

76 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	575
1	223	557
2	661	547
3	3225	543
4	4904	543
5	5238	543

prune1.8s (12.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	453	8	461
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	456	25	481

Error

31.1b

Counts

481 → 25

Alt Table

Status	Error	Program
	44.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -2 g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	61.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.3b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	51.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 g) 2)) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.2b	(+.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	38.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) 3))
	48.7b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3)) -1/2)) (cbrt.f64 a)))
▶	35.6b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1 (.f64 a 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	45.9b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	43.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	48.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 h h) g)) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	53.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (fma.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 g) 2) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) -1/2)) (cbrt.f64 a)))
	52.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (.f64 h h) a))))))))
	48.9b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (fma.f64 1/2 (/.f64 (.f64 h h) g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
	57.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	57.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	45.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) -1/2)) (cbrt.f64 a)))
	43.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	55.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) (pow.f64 g 3)) (/.f64 1 (fma.f64 g (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (-.f64 (.f64 g g) (.f64 h h)))) (fma.f64 (neg.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 g) 2) g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.3b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 a 2)))) 3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	61.1b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (+.f64 (.f64 2 (log.f64 h)) (log.f64 (/.f64 -1/2 (.f64 a g)))))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	49.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	48.0b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h)))))) (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h)))))) 2)) -1/2)) (cbrt.f64 a)))
	38.3b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))

Compiler

Compiled 21024 to 8923 computations (57.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.4b	(-.f64 (.f64 g g) (.f64 h h))
	10.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	30.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune2.4s (16.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	443	3	446
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	444	27	471

Error

31.1b

Counts

471 → 27

Alt Table

Status	Error	Program
	44.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -2 g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	61.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.3b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	51.2b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1 (.f64 a 2)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (*.f64 h h) a))))))))
	51.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 g) 2)) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.2b	(+.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 a 2) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	38.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) 3))
	45.9b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	43.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	48.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 h h) g)) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	44.2b	(+.f64 (.f64 (cbrt.f64 (.f64 g -2)) (cbrt.f64 (/.f64 1 (.f64 a 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	49.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	53.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (fma.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 g) 2) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) -1/2)) (cbrt.f64 a)))
	52.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (.f64 h h) a))))))))
	48.9b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (fma.f64 1/2 (/.f64 (.f64 h h) g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
	57.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	57.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	45.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) -1/2)) (cbrt.f64 a)))
	43.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	55.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) (pow.f64 g 3)) (/.f64 1 (fma.f64 g (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (-.f64 (.f64 g g) (.f64 h h)))) (fma.f64 (neg.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 g) 2) g)) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.3b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 a 2)))) 3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	61.1b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (+.f64 (.f64 2 (log.f64 h)) (log.f64 (/.f64 -1/2 (.f64 a g)))))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	48.7b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3)) -1/2)) (cbrt.f64 a)))
	48.0b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h)))))) (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h)))))) 2)) -1/2)) (cbrt.f64 a)))
	38.3b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g) 2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.9b	(+.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (/.f64 1 (.f64 a 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))

Compiler

Compiled 21306 to 10326 computations (51.5% saved)

regimes1.6s (10.8%)

Accuracy

Total 0.9b remaining (2.9%)

Threshold costs 0.9b (2.9%)

Counts

157 → 2

Compiler

Compiled 40996 to 25975 computations (36.6% saved)

bsearch101.0ms (0.7%)

Steps

Iters	Range		Point
10	4.587077375714027e-165	6.30195860710968e-151	2.0465511296983676e-162

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	107
1	58	107
2	68	107
3	74	107
4	77	107
5	76	107

end515.0ms (3.6%)

Compiler: Compiled 1182 to 725 computations (38.7% saved)

Details

analyze583.0ms (4%)

sample3.0s (20.8%)

simplify193.0ms (1.3%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series1.2s (8.6%)

rewrite88.0ms (0.6%)

simplify130.0ms (0.9%)

prune998.0ms (6.9%)

localize18.0ms (0.1%)

series14.0ms (0.1%)

rewrite61.0ms (0.4%)

simplify64.0ms (0.4%)

prune1.5s (10.3%)

localize17.0ms (0.1%)

series13.0ms (0.1%)

rewrite53.0ms (0.4%)

simplify57.0ms (0.4%)

prune1.8s (12.7%)

localize21.0ms (0.1%)

prune2.4s (16.3%)

regimes1.6s (10.8%)

bsearch101.0ms (0.7%)

simplify5.0ms (0%)

end515.0ms (3.6%)

Profiling