Details

analyze684.0ms (4.4%)

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)

sample3.3s (21.4%)

Results

2.8s	7800×	body	256	valid
223.0ms	1257×	body	128	invalid
145.0ms	456×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify197.0ms (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

38.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	38.4b	(+.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)))
	38.4b	(+.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)))))))

Status

Error

Program

▶

38.4b

(+.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)))

38.4b

(+.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)))))))

Compiler

Compiled 219 to 116 computations (47% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.5b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	8.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.3s (8.6%)

Counts

4 → 120

Calls

4 calls:

715.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
597.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
14.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite92.0ms (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:

89.0ms	(-.f64 (.f64 g g) (.f64 h h))
89.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
89.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
89.0ms	(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

simplify139.0ms (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

prune952.0ms (6.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	365	21	386
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	366	22	388

Error

33.2b

Counts

388 → 22

Alt Table

Status	Error	Program
	36.4b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 a 2))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.5b	(+.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))
	38.3b	(+.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)))
▶	36.0b	(+.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)))
	49.2b	(+.f64 (.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)))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	49.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	56.7b	(+.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)))
	43.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (exp.f64 (log.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)))
	52.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) a) -1/2)))
	49.3b	(+.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)))))))
	38.4b	(+.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)))))))
	47.8b	(+.f64 (exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 a 2))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.5b	(+.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))))
	36.4b	(+.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)))
	55.7b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	51.2b	(+.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))))))))
	48.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (log.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	59.7b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (exp.f64 (fma.f64 2 (log.f64 h) (log.f64 (/.f64 -1/2 (.f64 g a))))))) (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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2)) a) -1/2)))
	43.3b	(+.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)))
	57.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (pow.f64 (/.f64 (*.f64 2 g) a) 1/3)))
	36.4b	(+.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)))

Compiler

Compiled 19430 to 10098 computations (48% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	7.5b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
	31.6b	(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)

rewrite64.0ms (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:

61.0ms

(-.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

simplify66.0ms (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

prune1.7s (11%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	440	10	450
Fresh	7	14	21
Picked	1	0	1
Done	0	0	0
Total	448	24	472

Error

32.8b

Counts

472 → 24

Alt Table

Status	Error	Program
	50.8b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (neg.f64 g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.5b	(+.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))
	50.9b	(+.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))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.3b	(+.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)))
	49.2b	(+.f64 (.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)))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	40.8b	(+.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 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) -1/2)) (cbrt.f64 a)))
	59.7b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (exp.f64 (fma.f64 2 (log.f64 h) (log.f64 (/.f64 -1/2 (.f64 g a))))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	47.3b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	34.3b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	49.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	56.7b	(+.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)))
▶	34.2b	(+.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)))
	43.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (exp.f64 (log.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)))
	52.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) a) -1/2)))
	47.8b	(+.f64 (exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 a 2))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.5b	(+.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))))
	57.7b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	36.4b	(+.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)))
	51.2b	(+.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))))))))
	49.9b	(+.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	60.6b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	42.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
	43.3b	(+.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)))
	38.4b	(+.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)))))))

Compiler

Compiled 21415 to 10030 computations (53.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series15.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

15.0ms

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

rewrite58.0ms (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:

57.0ms

(+.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

simplify62.0ms (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

prune1.7s (11.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	454	7	461
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	460	25	485

Error

32.5b

Counts

485 → 25

Alt Table

Status	Error	Program
	49.9b	(+.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	49.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h)))) g) 3) 1/3) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	50.8b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (neg.f64 g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.5b	(+.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))
	50.9b	(+.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))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.3b	(+.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)))
	40.8b	(+.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 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) -1/2)) (cbrt.f64 a)))
	59.7b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (exp.f64 (fma.f64 2 (log.f64 h) (log.f64 (/.f64 -1/2 (.f64 g a))))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	47.3b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
▶	34.3b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	52.2b	(+.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)))
	56.7b	(+.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)))
	45.2b	(+.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)))
	43.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (exp.f64 (log.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)))
	52.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) a) -1/2)))
	50.5b	(+.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))))
	46.3b	(+.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)))
	57.7b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	36.4b	(+.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)))
	51.2b	(+.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))))))))
	60.6b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	43.3b	(+.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)))
	51.5b	(+.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 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
	40.2b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) 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)))
	41.1b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (exp.f64 (log.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)))

Compiler

Compiled 20926 to 8879 computations (57.6% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	31.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.8s (11.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	457	4	461
Fresh	5	19	24
Picked	1	0	1
Done	0	0	0
Total	463	23	486

Error

32.5b

Counts

486 → 23

Alt Table

Status	Error	Program
	45.3b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (/.f64 (.f64 h h) g)) -1/2)) (cbrt.f64 a)))
	49.8b	(+.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h)))) g) 3) 1/3) 2)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	37.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g)) (cbrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	49.9b	(+.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	50.9b	(+.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))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.3b	(+.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)))
	40.8b	(+.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 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) -1/2)) (cbrt.f64 a)))
	59.7b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (exp.f64 (fma.f64 2 (log.f64 h) (log.f64 (/.f64 -1/2 (.f64 g a))))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	52.2b	(+.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)))
	56.7b	(+.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)))
	45.2b	(+.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)))
	43.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (exp.f64 (log.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)))
	52.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) a) -1/2)))
	52.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (neg.f64 (*.f64 h h))))) -1/2)) (cbrt.f64 a)))
	50.5b	(+.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))))
	46.3b	(+.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)))
	40.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g)) (cbrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	57.7b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	60.6b	(+.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (neg.f64 (.f64 h h))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	38.5b	(+.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))
	43.3b	(+.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)))
	47.3b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	51.5b	(+.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 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) -1/2)) (cbrt.f64 a)))

Compiler

Compiled 19937 to 8521 computations (57.3% saved)

regimes2.6s (16.9%)

Accuracy

Total 0.8b remaining (2.6%)

Threshold costs 0.8b (2.6%)

Counts

225 → 2

Compiler

Compiled 55045 to 35159 computations (36.1% saved)

bsearch94.0ms (0.6%)

Steps

Iters	Range		Point
8	-4.443181745122809e-162	-6.916605282315942e-166	-4.387941031811663e-162

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	92
1	48	92
2	58	92
3	64	92
4	67	92
5	67	92

end414.0ms (2.7%)

Compiler: Compiled 953 to 601 computations (36.9% saved)

Details

analyze684.0ms (4.4%)

sample3.3s (21.4%)

simplify197.0ms (1.3%)

prune5.0ms (0%)

localize24.0ms (0.2%)

series1.3s (8.6%)

rewrite92.0ms (0.6%)

simplify139.0ms (0.9%)

prune952.0ms (6.2%)

localize18.0ms (0.1%)

series14.0ms (0.1%)

rewrite64.0ms (0.4%)

simplify66.0ms (0.4%)

prune1.7s (11%)

localize17.0ms (0.1%)

series15.0ms (0.1%)

rewrite58.0ms (0.4%)

simplify62.0ms (0.4%)

prune1.7s (11.3%)

localize23.0ms (0.1%)

prune1.8s (11.7%)

regimes2.6s (16.9%)

bsearch94.0ms (0.6%)

simplify4.0ms (0%)

end414.0ms (2.7%)

Profiling