Details

analyze661.0ms (5.8%)

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)

sample75.0ms (0.7%)

Algorithm

1×

intervals

Results

57.0ms	250×	body	256	valid
5.0ms	50×	body	128	nan
1.0ms	6×	body	128	valid

Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify208.0ms (1.8%)

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 → 1

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

35.9b

Counts

2 → 2

Alt Table

Status	Error	Program
	36.0b	(+.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)))
▶	36.0b	(+.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

36.0b

(+.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)))

▶

36.0b

(+.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 182 to 100 computations (45.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite339.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

22×	`add-cube-cbrt_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`flip3--_binary64`
12×	`pow1_binary64`
12×	`pow1/3_binary64`

Counts

4 → 152

Calls

4 calls:

19.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5584 to 1980 computations (64.5% saved)

series209.0ms (1.8%)

Error

30.7b

Counts

4 → 30

Calls

4 calls:

76.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
66.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
13.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3661 to 2608 computations (28.8% saved)

simplify134.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-neg_binary64`
446×	`fma-def_binary64`
392×	`associate-l_binary64`
340×	`times-frac_binary64`
221×	`associate-/l*_binary64`

Counts

182 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3393
1	557	3209
2	1480	3124
3	4761	3124
4	5058	3124

prune209.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	75	19	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	20	96

Error

30.0b

Counts

96 → 20

Alt Table

Status	Error	Program
	33.6b	(+.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 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	44.2b	(+.f64 (/.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	36.0b	(+.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)))
	51.9b	(+.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) (cbrt.f64 (exp.f64 (-.f64 (log.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (log.f64 a))))))
	44.2b	(+.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 (+.f64 h g) (-.f64 g h) (.f64 g (+.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)))))))
	36.1b	(+.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 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))) (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))))))
	42.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))) (sqrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 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 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	49.3b	(+.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) (neg.f64 g)))))
	53.3b	(+.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) (.f64 (pow.f64 (/.f64 -1 g) 1/3) (pow.f64 (.f64 1/2 (/.f64 (.f64 h h) a)) 1/3))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
▶	33.1b	(+.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)))))))
	36.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.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)))))))
	40.8b	(+.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) (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	47.7b	(+.f64 (.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (pow.f64 (/.f64 -1 a) 1/3))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	50.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (pow.f64 (/.f64 1 a) 1/3)) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.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 1 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))))))
	43.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (.f64 1/2 (log.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)))))))
	46.7b	(+.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))))

Compiler

Compiled 5734 to 2603 computations (54.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
6.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite574.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

Rules

22×	`add-cube-cbrt_binary64`
20×	`flip3--_binary64`
20×	`add-sqr-sqrt_binary64`
14×	`pow1_binary64`
12×	`add-log-exp_binary64`

Counts

4 → 163

Calls

4 calls:

20.0ms	(-.f64 (.f64 g g) (.f64 h h))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))

Compiler

Compiled 5644 to 1934 computations (65.7% saved)

series243.0ms (2.1%)

Error

29.7b

Counts

4 → 30

Calls

4 calls:

78.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
18.0ms	(-.f64 (.f64 g g) (.f64 h h))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
14.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2989 to 2098 computations (29.8% saved)

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-neg_binary64`
497×	`fma-def_binary64`
292×	`distribute-rgt-in_binary64`
249×	`distribute-lft-in_binary64`
203×	`times-frac_binary64`

Counts

193 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	3008
1	469	2784
2	1399	2668
3	4459	2654
4	4963	2654

prune302.0ms (2.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	95	20	115

Error

29.7b

Counts

115 → 20

Alt Table

Status	Error	Program
	39.7b	(+.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) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
	33.6b	(+.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 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	44.2b	(+.f64 (/.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	36.0b	(+.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)))
	51.9b	(+.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) (cbrt.f64 (exp.f64 (-.f64 (log.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (log.f64 a))))))
	44.2b	(+.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 (+.f64 h g) (-.f64 g h) (.f64 g (+.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)))))))
	36.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.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)))))))
	43.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	36.1b	(+.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 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))) (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))))))
▶	30.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (cbrt.f64 (/.f64 -1 a)))))
	49.3b	(+.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) (neg.f64 g)))))
	53.3b	(+.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) (.f64 (pow.f64 (/.f64 -1 g) 1/3) (pow.f64 (.f64 1/2 (/.f64 (.f64 h h) a)) 1/3))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
	38.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.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)))))))
	40.8b	(+.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) (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	46.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 -1 g)) (cbrt.f64 (.f64 1/2 (/.f64 (*.f64 h h) 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 1 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))))))
	43.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (.f64 1/2 (log.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 5171 to 2384 computations (53.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
2.2b	(-.f64 (.f64 g g) (.f64 h h))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite590.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

29.7b

Rules

22×	`add-cube-cbrt_binary64`
20×	`flip3--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-log-exp_binary64`
16×	`pow1_binary64`

Counts

4 → 174

Calls

4 calls:

23.0ms	(-.f64 (.f64 g g) (.f64 h h))
21.0ms	(-.f64 (.f64 g g) (.f64 h h))
16.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 6047 to 2162 computations (64.2% saved)

series173.0ms (1.5%)

Error

29.7b

Counts

4 → 30

Calls

4 calls:

62.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
20.0ms	(-.f64 (.f64 g g) (.f64 h h))
19.0ms	(-.f64 (.f64 g g) (.f64 h h))
14.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2593 to 1831 computations (29.4% saved)

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
467×	`unswap-sqr_binary64`
326×	`associate-l_binary64`
296×	`associate-r_binary64`
223×	`fma-def_binary64`

Counts

204 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	2582
1	225	2302
2	678	2206
3	2617	2206
4	4386	2206
5	4850	2206
6	4856	2206

prune277.0ms (2.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	94	20	114

Error

29.7b

Counts

114 → 20

Alt Table

Status	Error	Program
	39.7b	(+.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) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
▶	33.6b	(+.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 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	44.2b	(+.f64 (/.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	36.0b	(+.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)))
	51.9b	(+.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) (cbrt.f64 (exp.f64 (-.f64 (log.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (log.f64 a))))))
	44.2b	(+.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 (+.f64 h g) (-.f64 g h) (.f64 g (+.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)))))))
	36.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.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)))))))
	43.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	36.1b	(+.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 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))) (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))))))
✓	30.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (cbrt.f64 (/.f64 -1 a)))))
	49.3b	(+.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) (neg.f64 g)))))
	53.3b	(+.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) (.f64 (pow.f64 (/.f64 -1 g) 1/3) (pow.f64 (.f64 1/2 (/.f64 (.f64 h h) a)) 1/3))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
	38.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.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)))))))
	40.8b	(+.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) (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	46.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 -1 g)) (cbrt.f64 (.f64 1/2 (/.f64 (*.f64 h h) 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 1 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))))))
	43.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (.f64 1/2 (log.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 4868 to 2389 computations (50.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
9.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite514.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

29.7b

Rules

22×	`add-cube-cbrt_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`flip3--_binary64`
14×	`pow1_binary64`
12×	`add-log-exp_binary64`

Counts

4 → 163

Calls

4 calls:

21.0ms	(-.f64 (.f64 g g) (.f64 h h))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
14.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))

Compiler

Compiled 5761 to 1901 computations (67% saved)

series192.0ms (1.7%)

Error

29.7b

Counts

4 → 30

Calls

4 calls:

67.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
19.0ms	(-.f64 (.f64 g g) (.f64 h h))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
15.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3098 to 2136 computations (31.1% saved)

simplify154.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-neg_binary64`
458×	`fma-def_binary64`
276×	`distribute-rgt-in_binary64`
236×	`distribute-lft-in_binary64`
191×	`cancel-sign-sub-inv_binary64`

Counts

193 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2965
1	497	2733
2	1452	2654
3	4301	2641
4	4986	2641
5	4893	2641

prune264.0ms (2.3%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	6	12	18
Picked	1	0	1
Done	0	1	1
Total	96	19	115

Error

29.6b

Counts

115 → 19

Alt Table

Status	Error	Program
	39.7b	(+.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) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
	44.2b	(+.f64 (/.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 (+.f64 h g) (-.f64 g h) (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	53.8b	(+.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 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (/.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (sqrt.f64 (fma.f64 h (.f64 h (fma.f64 h h (*.f64 g g))) (pow.f64 g 4))))))))
	42.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (exp.f64 (.f64 1/2 (log.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)))))))
	47.3b	(+.f64 (.f64 (cbrt.f64 1/2) (.f64 (pow.f64 g -1/3) (cbrt.f64 (.f64 -1/2 (/.f64 (.f64 h h) a))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	43.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	30.9b	(+.f64 (.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 -1 a)))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	46.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
	36.1b	(+.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 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))) (cbrt.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)))))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))))))
	49.3b	(+.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) (neg.f64 g)))))
	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 1 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))))))
	53.3b	(+.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) (.f64 (pow.f64 (/.f64 -1 g) 1/3) (pow.f64 (.f64 1/2 (/.f64 (.f64 h h) a)) 1/3))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) (.f64 (.f64 2 a) (fma.f64 g g (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
	36.0b	(+.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)))
	33.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	40.8b	(+.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) (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	46.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 -1 g)) (cbrt.f64 (.f64 1/2 (/.f64 (*.f64 h h) a))))))
	30.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))))) (cbrt.f64 (/.f64 -1 a)))))

Compiler

Compiled 4221 to 1813 computations (57% saved)

regimes3.2s (28%)

Accuracy

Total 1.9b remaining (5.8%)

Threshold costs 0b (0%)

Compiler

Compiled 94179 to 55445 computations (41.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	59
1	40	59
2	53	59
3	64	59
4	69	59
5	70	59
6	70	59

end1.0ms (0%)

Compiler: Compiled 40 to 24 computations (40% saved)

sample2.7s (23.6%)

Algorithm

1×

intervals

Results

1.8s	7576×	body	256	valid
140.0ms	1259×	body	128	nan
48.0ms	424×	body	128	valid

Compiler

Compiled 980 to 567 computations (42.1% saved)

Details

analyze661.0ms (5.8%)

sample75.0ms (0.7%)

simplify208.0ms (1.8%)

prune4.0ms (0%)

localize18.0ms (0.2%)

rewrite339.0ms (3%)

series209.0ms (1.8%)

simplify134.0ms (1.2%)

prune209.0ms (1.8%)

localize22.0ms (0.2%)

rewrite574.0ms (5.1%)

series243.0ms (2.1%)

simplify119.0ms (1%)

prune302.0ms (2.7%)

localize25.0ms (0.2%)

rewrite590.0ms (5.2%)

series173.0ms (1.5%)

simplify159.0ms (1.4%)

prune277.0ms (2.4%)

localize24.0ms (0.2%)

rewrite514.0ms (4.5%)

series192.0ms (1.7%)

simplify154.0ms (1.4%)

prune264.0ms (2.3%)

regimes3.2s (28%)

simplify5.0ms (0%)

end1.0ms (0%)

sample2.7s (23.6%)

Profiling