Details

analyze628.0ms (4.3%)

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)

sample2.9s (19.6%)

Results

2.5s	7806×	body	256	valid
193.0ms	1188×	body	128	invalid
83.0ms	450×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify192.0ms (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

38.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	38.9b	(+.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)))))))
▶	38.9b	(+.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

38.9b

(+.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)))))))

▶

38.9b

(+.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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.8b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	9.4b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	32.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.5s (10.3%)

Counts

4 → 120

Calls

4 calls:

766.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
726.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
16.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
11×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`times-frac_binary64`

Counts

4 → 68

Calls

4 calls:

9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
6.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
3.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
3.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

502×	`times-frac_binary64`
427×	`associate-r_binary64`
289×	`associate-/r*_binary64`
268×	`fma-def_binary64`
264×	`associate-/l*_binary64`

Counts

188 → 237

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	7190
1	1435	6951
2	5076	6951

prune729.0ms (4.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	304	22	326
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	305	23	328

Error

33.7b

Counts

328 → 23

Alt Table

Status	Error	Program
	38.8b	(+.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 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
▶	35.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	41.1b	(+.f64 (expm1.f64 (log1p.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)))
	48.6b	(+.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))))
	37.7b	(+.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)))
	39.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.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)))
	53.8b	(+.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)))
	55.5b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	38.9b	(+.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)))))))
	39.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	45.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	56.5b	(+.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 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	38.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	53.2b	(+.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)))
	56.6b	(+.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 (expm1.f64 (log1p.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)))
	60.9b	(+.f64 (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (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)))
	35.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	55.3b	(+.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)))
	54.3b	(+.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	37.6b	(+.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	36.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	50.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (neg.f64 g)) a) -1/2)))

Compiler

Compiled 17675 to 9239 computations (47.7% 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))))
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	7.8b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	32.8b	(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))))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

4.0ms

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
456×	`times-frac_binary64`
261×	`fma-def_binary64`
235×	`associate-/r*_binary64`
230×	`associate-/l*_binary64`

Counts

41 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	894
1	295	845
2	829	805
3	3779	801
4	4982	801

prune1.3s (8.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	310	6	316
Fresh	7	15	22
Picked	1	0	1
Done	0	0	0
Total	318	21	339

Error

33.2b

Counts

339 → 21

Alt Table

Status	Error	Program
	38.8b	(+.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 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	48.6b	(+.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))))
	39.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.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)))
	44.5b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	53.8b	(+.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)))
	38.9b	(+.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)))))))
	39.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	45.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	38.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	53.2b	(+.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)))
	47.3b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) a) -1/2)))
	60.9b	(+.f64 (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (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)))
	37.6b	(+.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
▶	34.8b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	36.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	50.4b	(+.f64 (/.f64 (cbrt.f64 (-.f64 g g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	40.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	40.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	35.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	55.3b	(+.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)))
	54.3b	(+.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))

Compiler

Compiled 15915 to 7777 computations (51.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	32.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series15.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

15.0ms

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
21×	`prod-diff_binary64`
19×	`*-un-lft-identity_binary64`
17×	`sqrt-prod_binary64`
17×	`add-cube-cbrt_binary64`

Counts

1 → 47

Calls

1 calls:

9.0ms

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-def_binary64`
458×	`associate-/l*_binary64`
427×	`associate-/r*_binary64`
424×	`fma-neg_binary64`
237×	`cancel-sign-sub-inv_binary64`

Counts

71 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2090
1	371	1451
2	1281	1337
3	4495	1337
4	4929	1337
5	4990	1337
6	5000	1337
7	4866	1337

prune1.7s (11.5%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	328	10	338
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	334	25	359

Error

33.2b

Counts

359 → 25

Alt Table

Status	Error	Program
	35.8b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (exp.f64 (log.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 a)))
	36.2b	(+.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	38.8b	(+.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 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	48.6b	(+.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))))
▶	34.8b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 a)))
	49.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 g g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	56.9b	(+.f64 (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	39.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.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)))
	44.5b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	53.8b	(+.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)))
	50.0b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 (.f64 (sqrt.f64 g) (sqrt.f64 g)))) (fma.f64 (neg.f64 (sqrt.f64 g)) (sqrt.f64 g) (.f64 (sqrt.f64 g) (sqrt.f64 g))))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	38.9b	(+.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)))))))
	45.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	57.0b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g))))) (fma.f64 (neg.f64 (cbrt.f64 g)) (.f64 (cbrt.f64 g) (cbrt.f64 g)) (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g)))))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) (cbrt.f64 a)))
	38.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	47.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 1/2 (/.f64 (.f64 h h) g)))) (cbrt.f64 a)))
	60.9b	(+.f64 (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (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)))
	50.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (*.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))) (cbrt.f64 a)))
	37.6b	(+.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	51.1b	(+.f64 (/.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 -1/2 (/.f64 (.f64 h h) g)))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	40.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	40.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	35.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	55.3b	(+.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)))
	36.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))

Compiler

Compiled 16412 to 7109 computations (56.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	32.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune3.1s (21.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	644	2	646
Fresh	2	22	24
Picked	1	0	1
Done	0	0	0
Total	647	24	671

Error

33.2b

Counts

671 → 24

Alt Table

Status	Error	Program
	35.8b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (exp.f64 (log.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 a)))
	38.8b	(+.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 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	48.6b	(+.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))))
	49.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 g g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	56.9b	(+.f64 (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	39.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.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)))
	44.5b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	53.8b	(+.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)))
	50.0b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 (.f64 (sqrt.f64 g) (sqrt.f64 g)))) (fma.f64 (neg.f64 (sqrt.f64 g)) (sqrt.f64 g) (.f64 (sqrt.f64 g) (sqrt.f64 g))))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	38.9b	(+.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)))))))
	45.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	57.0b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g))))) (fma.f64 (neg.f64 (cbrt.f64 g)) (.f64 (cbrt.f64 g) (cbrt.f64 g)) (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g)))))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))) (cbrt.f64 a)))
	40.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	47.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 1/2 (/.f64 (.f64 h h) g)))) (cbrt.f64 a)))
	60.9b	(+.f64 (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (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)))
	36.3b	(+.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 a)))
	35.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (*.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))) (cbrt.f64 a)))
	37.6b	(+.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	51.1b	(+.f64 (/.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 -1/2 (/.f64 (.f64 h h) g)))) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 -1/2 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 a)))
	38.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	40.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	55.3b	(+.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)))
	36.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))

Compiler

Compiled 44124 to 12694 computations (71.2% saved)

regimes1.7s (11.4%)

Accuracy

Total 0.9b remaining (2.7%)

Threshold costs 0.9b (2.7%)

Counts

163 → 2

Compiler

Compiled 47905 to 27305 computations (43% saved)

bsearch100.0ms (0.7%)

Steps

Iters	Range		Point
8	8.204230165610287e-175	1.3241112489690197e-171	1.302569325886384e-171

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	94
1	52	94
2	61	94
3	68	94
4	72	94
5	73	94
6	73	94

end494.0ms (3.3%)

Compiler: Compiled 1198 to 652 computations (45.6% saved)

Details

analyze628.0ms (4.3%)

sample2.9s (19.6%)

simplify192.0ms (1.3%)

prune5.0ms (0%)

localize16.0ms (0.1%)

series1.5s (10.3%)

rewrite23.0ms (0.2%)

simplify113.0ms (0.8%)

prune729.0ms (4.9%)

localize17.0ms (0.1%)

series15.0ms (0.1%)

rewrite5.0ms (0%)

simplify53.0ms (0.4%)

prune1.3s (8.5%)

localize19.0ms (0.1%)

series15.0ms (0.1%)

rewrite12.0ms (0.1%)

simplify119.0ms (0.8%)

prune1.7s (11.5%)

localize25.0ms (0.2%)

prune3.1s (21.2%)

regimes1.7s (11.4%)

bsearch100.0ms (0.7%)

simplify5.0ms (0%)

end494.0ms (3.3%)

Profiling