Details

analyze581.0ms (4.2%)

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 (21.6%)

Results

2.6s	7744×	body	256	valid
245.0ms	1305×	body	128	invalid
96.0ms	512×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify193.0ms (1.4%)

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

prune4.0ms (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

34.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	34.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	34.8b	(+.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

▶

34.6b

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

34.8b

(+.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.4b	(-.f64 (.f64 g g) (.f64 h h))
✓	6.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	9.0b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	29.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.5s (10.9%)

Counts

4 → 120

Calls

4 calls:

762.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
712.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.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:

7.0ms	(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))

simplify118.0ms (0.9%)

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

prune743.0ms (5.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	302	24	326
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	304	24	328

Error

30.9b

Counts

328 → 24

Alt Table

Status	Error	Program
	49.0b	(+.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)))
	34.6b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.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)))
	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)))
	34.1b	(+.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)))
	55.5b	(+.f64 (-.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (cbrt.f64 1/2)) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (.f64 (cbrt.f64 1/2) (pow.f64 h 2))) (pow.f64 g 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	34.7b	(+.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (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)))
	37.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	46.6b	(+.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))))
	48.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 g g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	34.6b	(+.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)))
	42.4b	(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)) 1/3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	56.1b	(+.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)))
	34.1b	(+.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)))
	52.6b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	34.6b	(+.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)))))
	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) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	32.3b	(+.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)))
	53.1b	(+.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)))
	57.3b	(+.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 2 a)) (log.f64 (/.f64 1 g)))))))
	49.0b	(+.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)))
	33.1b	(+.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)))
	38.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.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)))
▶	32.3b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	34.8b	(+.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)))

Compiler

Compiled 17747 to 9265 computations (47.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	3.4b	(-.f64 (.f64 g g) (.f64 h h))
	6.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	29.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series17.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

17.0ms

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

rewrite11.0ms (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:

6.0ms

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

simplify118.0ms (0.9%)

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

prune2.1s (15.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	335	11	346
Fresh	10	13	23
Picked	1	0	1
Done	0	0	0
Total	346	24	370

Error

30.0b

Counts

370 → 24

Alt Table

Status	Error	Program
	53.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g 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)))
	56.7b	(+.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))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	48.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g) g)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 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)))
	33.1b	(+.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)))
	39.2b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h 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))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.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)))
▶	31.9b	(+.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)))
	55.5b	(+.f64 (-.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (cbrt.f64 1/2)) (.f64 1/12 (/.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (.f64 (cbrt.f64 1/2) (pow.f64 h 2))) (pow.f64 g 2)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	34.7b	(+.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (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)))
	37.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	32.3b	(+.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))) (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)))
	42.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	46.6b	(+.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))))
	34.6b	(+.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)))
	42.4b	(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)) 1/3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	52.6b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	34.6b	(+.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)))))
	37.2b	(+.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)))
	32.3b	(+.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)))
	49.0b	(+.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)))
	34.1b	(+.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)))
	48.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	45.7b	(+.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 (neg.f64 g)) a) -1/2)))
	56.6b	(+.f64 (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 g))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))

Compiler

Compiled 17786 to 8302 computations (53.3% saved)

localize18.0ms (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))))
	2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	3.4b	(-.f64 (.f64 g g) (.f64 h h))
	29.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series16.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

16.0ms

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

rewrite6.0ms (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:

6.0ms

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

simplify59.0ms (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

prune1.4s (10.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	330	8	338
Fresh	9	14	23
Picked	1	0	1
Done	0	0	0
Total	340	22	362

Error

29.7b

Counts

362 → 22

Alt Table

Status	Error	Program
	52.8b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g 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)))
	40.0b	(+.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 (pow.f64 g 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) (+.f64 (.f64 g g) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))))))) (cbrt.f64 a)))
	48.5b	(+.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 (fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))) (cbrt.f64 a)))
	48.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g) g)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 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)))
	33.1b	(+.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)))
	39.2b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h 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))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.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)))
	48.3b	(+.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)))
	56.5b	(+.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)))
	34.7b	(+.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (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)))
	37.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	32.3b	(+.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))) (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)))
	42.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	46.6b	(+.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))))
	34.6b	(+.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)))
	37.2b	(+.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)))
▶	32.3b	(+.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)))
	44.8b	(+.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 1/2 (/.f64 (pow.f64 h 2) g)))) (cbrt.f64 a)))
	48.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	56.4b	(+.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)))
	33.1b	(+.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)))
	34.6b	(+.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)))))

Compiler

Compiled 16280 to 6969 computations (57.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	3.4b	(-.f64 (.f64 g g) (.f64 h h))
	6.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	29.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.5s (10.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	345	1	346
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	346	22	368

Error

29.7b

Counts

368 → 22

Alt Table

Status	Error	Program
	52.8b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g 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)))
	40.0b	(+.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 (pow.f64 g 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) (+.f64 (.f64 g g) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))))))) (cbrt.f64 a)))
	48.5b	(+.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 (fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))) (cbrt.f64 a)))
	48.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g) g)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 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)))
	33.1b	(+.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)))
	39.2b	(+.f64 (/.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h 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))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.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)))
	48.3b	(+.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)))
	56.5b	(+.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)))
	34.7b	(+.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (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)))
	37.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) a) -1/2)))
	32.3b	(+.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))) (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)))
	42.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	46.6b	(+.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))))
	45.7b	(+.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 (neg.f64 g)) a) -1/2)))
	34.6b	(+.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)))
	44.8b	(+.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 1/2 (/.f64 (pow.f64 h 2) g)))) (cbrt.f64 a)))
	48.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	56.4b	(+.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)))
	33.1b	(+.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)))
	34.6b	(+.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)))))
	37.2b	(+.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)))

Compiler

Compiled 16629 to 7664 computations (53.9% saved)

regimes1.9s (13.9%)

Accuracy

Total 1.8b remaining (5.5%)

Threshold costs 0b (0%)

Counts

173 → 1

Compiler

Compiled 49977 to 28509 computations (43% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-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	21	52
1	32	52
2	42	52
3	48	52
4	51	52
5	51	52

end399.0ms (2.9%)

Compiler: Compiled 1083 to 562 computations (48.1% saved)

Details

analyze581.0ms (4.2%)

sample3.0s (21.6%)

simplify193.0ms (1.4%)

prune4.0ms (0%)

localize18.0ms (0.1%)

series1.5s (10.9%)

rewrite23.0ms (0.2%)

simplify118.0ms (0.9%)

prune743.0ms (5.4%)

localize17.0ms (0.1%)

series17.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify118.0ms (0.9%)

prune2.1s (15.3%)

localize18.0ms (0.1%)

series16.0ms (0.1%)

rewrite6.0ms (0%)

simplify59.0ms (0.4%)

prune1.4s (10.4%)

localize19.0ms (0.1%)

prune1.5s (10.6%)

regimes1.9s (13.9%)

simplify3.0ms (0%)

end399.0ms (2.9%)

Profiling