Details

analyze617.0ms (4.8%)

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)

sample3.1s (24.3%)

Results

2.8s	7816×	body	256	valid
217.0ms	1270×	body	128	invalid
83.0ms	440×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify197.0ms (1.5%)

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

38.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	38.6b	(+.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)))))))
▶	38.4b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))

Status

Error

Program

38.6b

(+.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)))))))

▶

38.4b

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

Compiler

Compiled 219 to 116 computations (47% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	8.9b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	32.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.9s (14.3%)

Counts

4 → 120

Calls

4 calls:

937.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
891.0ms	(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))

rewrite25.0ms (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:

8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
7.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
3.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify134.0ms (1%)

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

prune664.0ms (5.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	309	17	326
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	311	17	328

Error

33.4b

Counts

328 → 17

Alt Table

Status	Error	Program
	52.4b	(+.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)))
	53.4b	(+.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))))))))
▶	36.2b	(+.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)))
	55.4b	(+.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)))))
	38.5b	(+.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)))))
	55.4b	(+.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)))))))
	53.7b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	44.2b	(+.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)))
	38.4b	(+.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)))
	43.7b	(+.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 (.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)))))) a) -1/2)))
	36.7b	(+.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)))
	45.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	36.7b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.4b	(+.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)))
	38.4b	(+.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)))))
	49.9b	(+.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 (/.f64 -1 a)))))))
	51.5b	(+.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 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a))))))

Compiler

Compiled 17151 to 8905 computations (48.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.6b	(-.f64 (.f64 g g) (.f64 h h))
	8.9b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
	32.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series18.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(-.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:

7.0ms

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

simplify122.0ms (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

prune1.0s (8.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	343	5	348
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	350	15	365

Error

33.0b

Counts

365 → 15

Alt Table

Status	Error	Program
	52.4b	(+.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)))
	53.4b	(+.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))))))))
▶	36.7b	(+.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)))
	45.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	40.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	46.8b	(+.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	36.7b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	56.5b	(+.f64 (cbrt.f64 (/.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))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	55.4b	(+.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)))))))
	38.4b	(+.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)))
	38.4b	(+.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)))))
	53.7b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.7b	(+.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 (.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)))))) a) -1/2)))
	44.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	43.0b	(+.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (.f64 (neg.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 g))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))

Compiler

Compiled 17132 to 7970 computations (53.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.6b	(-.f64 (.f64 g g) (.f64 h h))
	7.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	32.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.1s (8.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	342	4	346
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	344	17	361

Error

33.0b

Counts

361 → 17

Alt Table

Status	Error	Program
	49.6b	(+.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)))
	56.5b	(+.f64 (cbrt.f64 (/.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))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	55.4b	(+.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 (cbrt.f64 (.f64 -1/2 (/.f64 (.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)))
	38.4b	(+.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)))
	46.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 g -2)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.4b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (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)))))
	48.5b	(+.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)))
	40.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	46.8b	(+.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
▶	36.7b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	53.4b	(+.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))))))))
	53.7b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.7b	(+.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 (.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)))))) a) -1/2)))
	45.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	44.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	43.0b	(+.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (.f64 (neg.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 g))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))

Compiler

Compiled 16978 to 7916 computations (53.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.6b	(-.f64 (.f64 g g) (.f64 h h))
	7.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	32.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.1s (8.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	346	0	346
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	346	17	363

Error

33.0b

Counts

363 → 17

Alt Table

Status	Error	Program
	49.6b	(+.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)))
	56.5b	(+.f64 (cbrt.f64 (/.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))))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	55.4b	(+.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 (cbrt.f64 (.f64 -1/2 (/.f64 (.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)))
	38.4b	(+.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)))
	46.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 g -2)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	38.4b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (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)))))
	48.5b	(+.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)))
	40.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	46.8b	(+.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
✓	36.7b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	53.4b	(+.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))))))))
	53.7b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.7b	(+.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 (.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)))))) a) -1/2)))
	45.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) a) -1/2)))
	44.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	43.0b	(+.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (.f64 (neg.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 g))) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))

Compiler

Compiled 16298 to 7529 computations (53.8% saved)

regimes2.3s (18%)

Accuracy

Total 0.7b remaining (2.2%)

Threshold costs 0.7b (2.2%)

Counts

230 → 2

Compiler

Compiled 59644 to 36104 computations (39.5% saved)

bsearch124.0ms (1%)

Steps

Iters	Range		Point
11	1.4259108497514287e-185	4.562490869230655e-149	4.6235888593323855e-161

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	92
1	52	92
2	61	92
3	68	92
4	72	92
5	73	92
6	73	92

end318.0ms (2.5%)

Compiler: Compiled 804 to 463 computations (42.4% saved)

Details

analyze617.0ms (4.8%)

sample3.1s (24.3%)

simplify197.0ms (1.5%)

prune4.0ms (0%)

localize19.0ms (0.1%)

series1.9s (14.3%)

rewrite25.0ms (0.2%)

simplify134.0ms (1%)

prune664.0ms (5.1%)

localize19.0ms (0.1%)

series18.0ms (0.1%)

rewrite12.0ms (0.1%)

simplify122.0ms (0.9%)

prune1.0s (8.1%)

localize20.0ms (0.2%)

prune1.1s (8.7%)

localize20.0ms (0.2%)

prune1.1s (8.6%)

regimes2.3s (18%)

bsearch124.0ms (1%)

simplify5.0ms (0%)

end318.0ms (2.5%)

Profiling