Details

analyze569.0ms (3.1%)

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)

sample138.0ms (0.8%)

Algorithm

1×

intervals

Results

53.0ms	248×	body	256	valid
13.0ms	36×	body	128	nan
1.0ms	8×	body	128	valid

Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify195.0ms (1.1%)

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

35.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	35.1b	(+.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)))))))
	35.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))

Status

Error

Program

▶

35.1b

(+.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)))))))

35.1b

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

Compiler

Compiled 219 to 116 computations (47% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (.f64 g g) (.f64 h h))
✓	8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
✓	9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
✓	30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series2.3s (12.6%)

Counts

4 → 120

Calls

4 calls:

1.5s	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
750.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
16.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`

Counts

4 → 67

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
3.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
3.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`times-frac_binary64`
313×	`associate-l_binary64`
313×	`fma-def_binary64`
303×	`associate-/r*_binary64`
280×	`associate-/l*_binary64`

Counts

187 → 252

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	7243
1	1549	6993
2	5142	6993

prune992.0ms (5.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	319	22	341
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	320	23	343

Error

32.3b

Counts

343 → 23

Alt Table

Status	Error	Program
	34.9b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	40.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.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)))))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	49.4b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 g g) (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (.f64 (.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)))))))
	40.1b	(+.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 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
	43.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (.f64 h h))))))))
	51.4b	(+.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 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	51.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	45.4b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3))) (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (fma.f64 (+.f64 h g) (-.f64 g h) (.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)))))))
	38.6b	(+.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) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	44.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (*.f64 h h)))))))
	34.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 (/.f64 2 a) g))))
	35.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	35.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (log.f64 (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)))))))
▶	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	40.5b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	56.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	43.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (+.f64 h g) (-.f64 g h) (.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)))))))
	41.2b	(+.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) (.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)))))))))
	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	52.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.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))))))))
	56.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))

Compiler

Compiled 20484 to 10838 computations (47.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.2b	(-.f64 (.f64 g g) (.f64 h h))
	9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
	30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series17.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

17.0ms

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

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`fma-def_binary64`
8×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`add-sqr-sqrt_binary64`

Counts

1 → 27

Calls

1 calls:

7.0ms

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

844×	`times-frac_binary64`
659×	`fma-neg_binary64`
393×	`fma-def_binary64`
342×	`associate-/l*_binary64`
294×	`associate-/r*_binary64`

Counts

51 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1022
1	344	933
2	1086	888
3	4683	888
4	5106	888

prune1.7s (9.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	320	15	335
Fresh	10	12	22
Picked	1	0	1
Done	0	0	0
Total	331	27	358

Error

31.9b

Counts

358 → 27

Alt Table

Status	Error	Program
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (*.f64 2 a))))
	38.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.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)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	33.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	43.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (.f64 h h))))))))
	51.4b	(+.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 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	51.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	42.6b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	46.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))))) (cbrt.f64 (.f64 2 a))))
	45.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	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) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	44.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.4b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 g g) (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	42.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 (/.f64 2 a) g))))
	33.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	41.2b	(+.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) (.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)))))))))
	38.6b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	35.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	35.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
▶	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	52.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g) g) 3)))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	52.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.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))))))))
	50.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (*.f64 2 a))))
	34.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (exp.f64 (log.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	56.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))

Compiler

Compiled 18714 to 9135 computations (51.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.0b	(+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.2b	(-.f64 (.f64 g g) (.f64 h h))
✓	9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))))
	30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series740.0ms (4%)

Counts

1 → 36

Calls

1 calls:

740.0ms

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

rewrite76.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

161×	`cbrt-div_binary64`
82×	`frac-times_binary64`
54×	`flip-+_binary64`
54×	`flip3-+_binary64`
42×	`associate-*r/_binary64`

Counts

1 → 64

Calls

1 calls:

35.0ms

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

simplify210.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
365×	`associate-r_binary64`
349×	`times-frac_binary64`
298×	`associate-l_binary64`
253×	`*-commutative_binary64`

Counts

100 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	9211
1	979	8816
2	3521	7439
3	4944	7439
4	4947	7439

prune4.2s (23%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	723	2	725
Fresh	3	23	26
Picked	0	1	1
Done	0	0	0
Total	726	26	752

Error

31.9b

Counts

752 → 26

Alt Table

Status	Error	Program
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (*.f64 2 a))))
	38.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.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)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	33.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	43.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (.f64 h h))))))))
	51.4b	(+.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 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	42.6b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	46.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))))) (cbrt.f64 (.f64 2 a))))
	45.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	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) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	44.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.4b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 g g) (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	42.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 (/.f64 2 a) g))))
	33.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	41.2b	(+.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) (.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)))))))))
	38.6b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	35.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	35.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
✓	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
▶	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	52.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g) g) 3)))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	52.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.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))))))))
	41.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (neg.f64 g) (neg.f64 g)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (*.f64 2 a))))
	56.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))

Compiler

Compiled 56834 to 17899 computations (68.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.0b	(+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.2b	(-.f64 (.f64 g g) (.f64 h h))
	9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
	30.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.7s (9.3%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	3	21	24
Picked	1	0	1
Done	0	1	1
Total	336	25	361

Error

31.9b

Counts

361 → 25

Alt Table

Status	Error	Program
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (*.f64 2 a))))
	38.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.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)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	46.4b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 g g) (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	41.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (neg.f64 g) (neg.f64 g)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	33.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	43.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (.f64 h h))))))))
	51.4b	(+.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 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))
	42.6b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	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) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	44.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (cbrt.f64 (fma.f64 g g (fma.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (-.f64 (.f64 g g) (*.f64 h h)))))))
	42.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 (/.f64 2 a) g))))
	33.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	41.2b	(+.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) (.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)))))))))
	38.6b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	35.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	35.1b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	45.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 -1/2 (/.f64 (.f64 h h) g)))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
✓	33.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	52.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g) g) 3)))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	52.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.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))))))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (*.f64 2 a))))
	56.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))

Compiler

Compiled 17466 to 8404 computations (51.9% saved)

regimes2.4s (13.1%)

Accuracy

Total 3.3b remaining (9.8%)

Threshold costs 0b (0%)

Counts

225 → 1

Compiler

Compiled 81005 to 45871 computations (43.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	36	52
2	49	52
3	60	52
4	65	52
5	66	52
6	66	52

end1.0ms (0%)

Compiler: Compiled 36 to 20 computations (44.4% saved)

sample2.7s (15%)

Algorithm

1×

intervals

Results

1.7s	7561×	body	256	valid
135.0ms	1225×	body	128	nan
46.0ms	439×	body	128	valid

Compiler

Compiled 1356 to 714 computations (47.3% saved)

Details

analyze569.0ms (3.1%)

sample138.0ms (0.8%)

simplify195.0ms (1.1%)

prune5.0ms (0%)

localize18.0ms (0.1%)

series2.3s (12.6%)

rewrite29.0ms (0.2%)

simplify115.0ms (0.6%)

prune992.0ms (5.4%)

localize18.0ms (0.1%)

series17.0ms (0.1%)

rewrite9.0ms (0%)

simplify63.0ms (0.3%)

prune1.7s (9.3%)

localize21.0ms (0.1%)

series740.0ms (4%)

rewrite76.0ms (0.4%)

simplify210.0ms (1.1%)

prune4.2s (23%)

localize19.0ms (0.1%)

prune1.7s (9.3%)

regimes2.4s (13.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.7s (15%)

Profiling