Details

analyze579.0ms (3.4%)

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 (18.1%)

Results

2.7s	7793×	body	256	valid
210.0ms	1278×	body	128	invalid
108.0ms	463×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify192.0ms (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

34.5b

Counts

3 → 2

Alt Table

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

Status

Error

Program

34.6b

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

▶

34.6b

(+.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)))))))

Compiler

Compiled 219 to 116 computations (47% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.2b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.6b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
✓	8.6b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
✓	30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.6s (9.4%)

Counts

4 → 120

Calls

4 calls:

797.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
767.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
17.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite30.0ms (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))))))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
3.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify120.0ms (0.7%)

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

prune944.0ms (5.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	320	21	341
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	321	22	343

Error

31.6b

Counts

343 → 22

Alt Table

Status	Error	Program
	41.1b	(+.f64 (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)))))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	47.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.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)))))))
	54.6b	(+.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 -1 g)) (log.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) a))))))))
	33.2b	(+.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)))))))
	34.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	43.2b	(+.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)))))))
	51.5b	(+.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)))))))
	54.8b	(+.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 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))) (fma.f64 1/12 (.f64 (/.f64 (cbrt.f64 -1/2) (.f64 g g)) (.f64 (.f64 h h) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g))))) (.f64 1/36 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 g 4)) (.f64 (pow.f64 h 4) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))))))
	49.9b	(+.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 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 (/.f64 -1 a)))))))
	44.3b	(+.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 (/.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)))))))
	54.5b	(+.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 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	33.6b	(+.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)))))))
▶	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))))
	39.4b	(+.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)))))))))
	33.6b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	47.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (neg.f64 g)))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	49.7b	(+.f64 (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 (/.f64 -1 a)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	45.8b	(+.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)))))))
	34.7b	(+.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))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	45.1b	(+.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 (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))))))))
	47.8b	(+.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)))))))
	58.0b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (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)))))))

Compiler

Compiled 20382 to 10866 computations (46.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.2b	(-.f64 (.f64 g g) (.f64 h h))
	7.6b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
	30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series16.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

16.0ms

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

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`prod-diff_binary64`
51×	`*-un-lft-identity_binary64`
51×	`add-sqr-sqrt_binary64`
47×	`add-cube-cbrt_binary64`
45×	`sqrt-prod_binary64`

Counts

1 → 106

Calls

1 calls:

10.0ms

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

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

921×	`times-frac_binary64`
769×	`fma-neg_binary64`
618×	`fma-def_binary64`
186×	`cancel-sign-sub-inv_binary64`
121×	`sub-neg_binary64`

Counts

130 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	5855
1	486	3730
2	1464	2640
3	4379	2640
4	4877	2640

prune1.7s (10.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	401	11	412
Fresh	14	7	21
Picked	1	0	1
Done	0	0	0
Total	416	18	434

Error

30.8b

Counts

434 → 18

Alt Table

Status	Error	Program
	45.9b	(+.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 (+.f64 (fma.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (neg.f64 (cbrt.f64 g)) (neg.f64 (.f64 (sqrt.f64 (-.f64 g h)) (sqrt.f64 (+.f64 g h))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 g h))) (sqrt.f64 (+.f64 g h)) (.f64 (sqrt.f64 (-.f64 g h)) (sqrt.f64 (+.f64 g h)))))) (cbrt.f64 (.f64 2 a))))
	60.4b	(+.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 (fma.f64 (sqrt.f64 (neg.f64 g)) (sqrt.f64 (neg.f64 g)) (neg.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))))
	34.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	50.2b	(+.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))))
	54.8b	(+.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 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))) (fma.f64 1/12 (.f64 (/.f64 (cbrt.f64 -1/2) (.f64 g g)) (.f64 (.f64 h h) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g))))) (.f64 1/36 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 g 4)) (.f64 (pow.f64 h 4) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))))))
	52.1b	(+.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 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 (/.f64 (.f64 h h) g) -1/2))) (cbrt.f64 (*.f64 2 a))))
	44.3b	(+.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 (/.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)))))))
	32.5b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	49.5b	(+.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 (/.f64 (pow.f64 h 2) g))) (cbrt.f64 (.f64 2 a))))
	39.4b	(+.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)))))))))
	46.0b	(+.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))))
	45.1b	(+.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 (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))))))))
	40.1b	(+.f64 (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)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	33.2b	(+.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)))))))
	42.8b	(+.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 -2 g)) (cbrt.f64 (.f64 2 a))))
▶	32.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	41.8b	(+.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))))
	45.8b	(+.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)))))))

Compiler

Compiled 23729 to 10101 computations (57.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	1.0b	(-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.2b	(-.f64 (.f64 g g) (.f64 h h))
	30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series15.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

15.0ms

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

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
21×	`prod-diff_binary64`
19×	`*-un-lft-identity_binary64`
17×	`sqrt-prod_binary64`
17×	`add-cube-cbrt_binary64`

Counts

1 → 47

Calls

1 calls:

7.0ms

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

simplify122.0ms (0.7%)

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

prune1.8s (10.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	419	6	425
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	421	22	443

Error

30.8b

Counts

443 → 22

Alt Table

Status	Error	Program
	45.9b	(+.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 (+.f64 (fma.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (neg.f64 (cbrt.f64 g)) (neg.f64 (.f64 (sqrt.f64 (-.f64 g h)) (sqrt.f64 (+.f64 g h))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 g h))) (sqrt.f64 (+.f64 g h)) (.f64 (sqrt.f64 (-.f64 g h)) (sqrt.f64 (+.f64 g h)))))) (cbrt.f64 (.f64 2 a))))
	60.4b	(+.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 (fma.f64 (sqrt.f64 (neg.f64 g)) (sqrt.f64 (neg.f64 g)) (neg.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))))
	60.1b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (neg.f64 g)) (sqrt.f64 (neg.f64 g)) (neg.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g)))) (cbrt.f64 (*.f64 2 a))))
	54.8b	(+.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 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))) (fma.f64 1/12 (.f64 (/.f64 (cbrt.f64 -1/2) (.f64 g g)) (.f64 (.f64 h h) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g))))) (.f64 1/36 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 g 4)) (.f64 (pow.f64 h 4) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))))))
	52.1b	(+.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 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 (/.f64 (.f64 h h) g) -1/2))) (cbrt.f64 (*.f64 2 a))))
	44.3b	(+.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 (/.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)))))))
▶	32.5b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	49.5b	(+.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 (/.f64 (pow.f64 h 2) g))) (cbrt.f64 (.f64 2 a))))
	39.4b	(+.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)))))))))
	47.0b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 -1/2 (/.f64 (.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))))
	41.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)) (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (+.f64 (.f64 g g) (.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))))
	42.8b	(+.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 -2 g)) (cbrt.f64 (.f64 2 a))))
	46.0b	(+.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))))
	45.1b	(+.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 (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))))))))
	40.1b	(+.f64 (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)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	48.5b	(+.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 (/.f64 (.f64 h h) g) -1/2)) (cbrt.f64 (.f64 2 a))))
	46.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 (.f64 (sqrt.f64 g) (sqrt.f64 g)))) (fma.f64 (neg.f64 (sqrt.f64 g)) (sqrt.f64 g) (.f64 (sqrt.f64 g) (sqrt.f64 g)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	33.2b	(+.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)))))))
	34.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.8b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (neg.f64 (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g))))) (fma.f64 (neg.f64 (cbrt.f64 g)) (.f64 (cbrt.f64 g) (cbrt.f64 g)) (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	41.8b	(+.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))))
	45.8b	(+.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)))))))

Compiler

Compiled 22798 to 8586 computations (62.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	1.0b	(-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.2b	(-.f64 (.f64 g g) (.f64 h h))
	30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune2.2s (12.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	425	22	447

Error

30.8b

Counts

447 → 22

Alt Table

Status	Error	Program
	45.9b	(+.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 (+.f64 (fma.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (neg.f64 (cbrt.f64 g)) (neg.f64 (.f64 (sqrt.f64 (-.f64 g h)) (sqrt.f64 (+.f64 g h))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 g h))) (sqrt.f64 (+.f64 g h)) (.f64 (sqrt.f64 (-.f64 g h)) (sqrt.f64 (+.f64 g h)))))) (cbrt.f64 (.f64 2 a))))
	48.5b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 h h) g) -1/2)) (cbrt.f64 (.f64 2 a))))
	60.4b	(+.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 (fma.f64 (sqrt.f64 (neg.f64 g)) (sqrt.f64 (neg.f64 g)) (neg.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g)))) (cbrt.f64 (.f64 2 a))))
	60.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (neg.f64 g)) (sqrt.f64 (neg.f64 g)) (neg.f64 (hypot.f64 (sqrt.f64 (neg.f64 (.f64 h h))) g)))) (cbrt.f64 (*.f64 2 a))))
	54.8b	(+.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 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))) (fma.f64 1/12 (.f64 (/.f64 (cbrt.f64 -1/2) (.f64 g g)) (.f64 (.f64 h h) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g))))) (.f64 1/36 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 g 4)) (.f64 (pow.f64 h 4) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))))))
	52.1b	(+.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 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 (/.f64 (.f64 h h) g) -1/2))) (cbrt.f64 (*.f64 2 a))))
	44.3b	(+.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 (/.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)))))))
	49.5b	(+.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 (/.f64 (pow.f64 h 2) g))) (cbrt.f64 (.f64 2 a))))
	39.4b	(+.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)))))))))
	47.0b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/8 (.f64 -1/2 (/.f64 (.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))))
	41.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)) (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (+.f64 (.f64 g g) (.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))))
	42.8b	(+.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 -2 g)) (cbrt.f64 (.f64 2 a))))
	46.0b	(+.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))))
	45.1b	(+.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 (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))))))))
	40.1b	(+.f64 (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)))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	48.5b	(+.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 (/.f64 (.f64 h h) g) -1/2)) (cbrt.f64 (.f64 2 a))))
	46.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) (neg.f64 (.f64 (sqrt.f64 g) (sqrt.f64 g)))) (fma.f64 (neg.f64 (sqrt.f64 g)) (sqrt.f64 g) (.f64 (sqrt.f64 g) (sqrt.f64 g)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	33.2b	(+.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)))))))
	34.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.8b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (neg.f64 (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g))))) (fma.f64 (neg.f64 (cbrt.f64 g)) (.f64 (cbrt.f64 g) (cbrt.f64 g)) (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 g) (cbrt.f64 g))))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	41.8b	(+.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))))
	45.8b	(+.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)))))))

Compiler

Compiled 21647 to 7964 computations (63.2% saved)

regimes3.8s (22.3%)

Accuracy

Total 0.9b remaining (2.7%)

Threshold costs 0.9b (2.7%)

Counts

256 → 3

Compiler

Compiled 88531 to 52641 computations (40.5% saved)

bsearch113.0ms (0.7%)

Steps

Iters	Range		Point
1	5.909350175063736e-143	3.3147378779615854e-123	4.467477958425206e-133
8	-1.306244092458043e-188	-3.0999621581544592e-192	-1.2893397083911e-188

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
11×	`*-commutative_binary64`
9×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	173
1	71	173
2	85	173
3	98	173
4	104	173
5	105	173
6	104	173

end514.0ms (3%)

Compiler: Compiled 1369 to 736 computations (46.2% saved)

Details

analyze579.0ms (3.4%)

sample3.1s (18.1%)

simplify192.0ms (1.1%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series1.6s (9.4%)

rewrite30.0ms (0.2%)

simplify120.0ms (0.7%)

prune944.0ms (5.6%)

localize17.0ms (0.1%)

series16.0ms (0.1%)

rewrite21.0ms (0.1%)

simplify130.0ms (0.8%)

prune1.7s (10.1%)

localize19.0ms (0.1%)

series15.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify122.0ms (0.7%)

prune1.8s (10.4%)

localize22.0ms (0.1%)

prune2.2s (12.7%)

regimes3.8s (22.3%)

bsearch113.0ms (0.7%)

simplify7.0ms (0%)

end514.0ms (3%)

Profiling