Details

analyze599.0ms (2.5%)

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)

sample5.0s (21.2%)

Results

4.3s	7821×	body	256	valid
433.0ms	1214×	body	128	invalid
121.0ms	435×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify324.0ms (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

prune8.0ms (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

32.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	32.8b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	32.8b	(+.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

▶

32.8b

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

32.8b

(+.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)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.0b	(-.f64 (.f64 g g) (.f64 h h))
✓	9.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	10.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	27.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series2.8s (11.8%)

Counts

4 → 120

Calls

4 calls:

1.4s	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
1.3s	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
34.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
15.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite50.0ms (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:

16.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
12.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify351.0ms (1.5%)

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 → 235

Iterations

Useful iterations: 1 (0.0ms)

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

prune951.0ms (4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	302	22	324
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	304	22	326

Error

28.3b

Counts

326 → 22

Alt Table

Status	Error	Program
	32.8b	(+.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)))))
	32.9b	(+.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)))
	50.4b	(+.f64 (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 1/3) (-.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)))
	49.2b	(+.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 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 (/.f64 -1 a)))))))
	33.0b	(+.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)))))
	30.9b	(+.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)))
	37.5b	(+.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 (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)))
	32.9b	(+.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)))
	50.3b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	31.6b	(+.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)))) -1/2)) (cbrt.f64 a)))
	32.5b	(+.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)))
	49.1b	(+.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)))
	47.9b	(+.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 a))))))
	52.2b	(+.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)))
	55.0b	(+.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)))))))
	47.2b	(+.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)))
	47.5b	(+.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)))
	37.0b	(+.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)))
	44.9b	(+.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 (*.f64 (/.f64 2 a) g))))
	40.2b	(+.f64 (cbrt.f64 (/.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) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
▶	30.9b	(+.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)))
	31.5b	(+.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 17573 to 9122 computations (48.1% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	5.0b	(-.f64 (.f64 g g) (.f64 h h))
	10.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	27.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series32.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

31.0ms

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

rewrite20.0ms (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:

13.0ms

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

simplify250.0ms (1.1%)

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

prune1.2s (5.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	337	8	345
Fresh	9	12	21
Picked	1	0	1
Done	0	0	0
Total	347	20	367

Error

27.8b

Counts

367 → 20

Alt Table

Status	Error	Program
	32.8b	(+.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)))))
	32.9b	(+.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)))
	33.0b	(+.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)))))
	30.9b	(+.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)))
	48.3b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (.f64 (cbrt.f64 1/2) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (log.f64 (/.f64 -1 a)))))))
	56.0b	(+.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))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	37.5b	(+.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 (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)))
	31.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (sqrt.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)))
	46.7b	(+.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)))
	45.5b	(+.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)))
	32.1b	(+.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	41.8b	(+.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)))
	37.0b	(+.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)))
	44.9b	(+.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 (*.f64 (/.f64 2 a) g))))
	50.3b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
▶	29.8b	(+.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)))
	32.5b	(+.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)))
	31.5b	(+.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)))
	52.2b	(+.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)))
	47.5b	(+.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)))

Compiler

Compiled 17365 to 8063 computations (53.6% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	5.0b	(-.f64 (.f64 g g) (.f64 h h))
	27.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series34.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

33.0ms

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

rewrite11.0ms (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:

9.0ms

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

simplify102.0ms (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

prune1.0s (4.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	330	8	338
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	336	22	358

Error

27.7b

Counts

358 → 22

Alt Table

Status	Error	Program
▶	29.8b	(+.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)))
	37.0b	(+.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)))
	55.2b	(+.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)))
	45.4b	(+.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 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 h h))) g)) 3)))) (cbrt.f64 a)))
	32.8b	(+.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)))))
	32.9b	(+.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)))
	46.7b	(+.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)))
	33.0b	(+.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)))))
	30.9b	(+.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)))
	32.5b	(+.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 (-.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)))
	31.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (sqrt.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)))
	46.7b	(+.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)))
	32.1b	(+.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	41.8b	(+.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)))
	43.4b	(+.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 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 h h))) g)))))) (cbrt.f64 a)))
	44.9b	(+.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 (*.f64 (/.f64 2 a) g))))
	39.0b	(+.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 (fma.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) (cbrt.f64 a)))
	50.3b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	31.5b	(+.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)))
	45.4b	(+.f64 (/.f64 (cbrt.f64 (.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)))
	47.5b	(+.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)))

Compiler

Compiled 16256 to 6997 computations (57% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	5.0b	(-.f64 (.f64 g g) (.f64 h h))
	27.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune2.3s (9.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	643	3	646
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	646	22	668

Error

27.7b

Counts

668 → 22

Alt Table

Status	Error	Program
	37.0b	(+.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)))
	55.2b	(+.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)))
	45.4b	(+.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 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 h h))) g)) 3)))) (cbrt.f64 a)))
	32.8b	(+.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)))))
	32.9b	(+.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)))
	46.7b	(+.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)))
	45.4b	(+.f64 (/.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (.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)))
	33.0b	(+.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)))))
	30.9b	(+.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)))
	30.0b	(+.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 (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 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))) (cbrt.f64 a)))
	31.5b	(+.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)))
	51.1b	(+.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 (.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)))
	31.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (sqrt.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)))
	46.7b	(+.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)))
	32.1b	(+.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	41.8b	(+.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)))
	43.4b	(+.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 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 h h))) g)))))) (cbrt.f64 a)))
	44.9b	(+.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 (*.f64 (/.f64 2 a) g))))
	39.0b	(+.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 (fma.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) (cbrt.f64 a)))
	50.3b	(+.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 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	32.5b	(+.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)))
	47.5b	(+.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)))

Compiler

Compiled 44109 to 12665 computations (71.3% saved)

regimes7.3s (31.1%)

Accuracy

Total 1.2b remaining (3.8%)

Threshold costs 0b (0%)

Counts

322 → 2

Compiler

Compiled 94490 to 53086 computations (43.8% saved)

bsearch185.0ms (0.8%)

Steps

Iters	Range		Point
9	1.4165535345186965e-159	2.6114203717088542e-152	1.4433633331664534e-159

Compiler

Compiled 4 to 3 computations (25% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	92
1	47	92
2	54	92
3	58	92
4	60	92
5	60	92

end787.0ms (3.3%)

Compiler: Compiled 1181 to 619 computations (47.6% saved)

Details

analyze599.0ms (2.5%)

sample5.0s (21.2%)

simplify324.0ms (1.4%)

prune8.0ms (0%)

localize31.0ms (0.1%)

series2.8s (11.8%)

rewrite50.0ms (0.2%)

simplify351.0ms (1.5%)

prune951.0ms (4%)

localize36.0ms (0.2%)

series32.0ms (0.1%)

rewrite20.0ms (0.1%)

simplify250.0ms (1.1%)

prune1.2s (5.2%)

localize38.0ms (0.2%)

series34.0ms (0.1%)

rewrite11.0ms (0%)

simplify102.0ms (0.4%)

prune1.0s (4.5%)

localize32.0ms (0.1%)

prune2.3s (9.9%)

regimes7.3s (31.1%)

bsearch185.0ms (0.8%)

simplify9.0ms (0%)

end787.0ms (3.3%)

Profiling