Details

analyze588.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 41 to 24 computations (41.5% saved)

sample3.1s (19.6%)

Results

2.7s	7829×	body	256	valid
208.0ms	1248×	body	128	invalid
73.0ms	427×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify196.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-neg_binary64`
636×	`times-frac_binary64`
620×	`div-sub_binary64`
565×	`unsub-neg_binary64`
481×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	54	50
2	144	50
3	406	48
4	826	48
5	1523	48
6	1911	48
7	2632	48
8	2589	48
9	2971	48
10	3625	48
11	4193	48
12	4375	48
13	4485	48
14	4533	48
15	4557	48
16	4607	48
17	4882	48
18	4848	48

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

34.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	34.9b	(+.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)))
	34.9b	(+.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) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))

Status

Error

Program

▶

34.9b

(+.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)))

34.9b

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

Compiler

Compiled 219 to 116 computations (47% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
✓	9.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
✓	29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.5s (9.8%)

Counts

4 → 120

Calls

4 calls:

776.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
718.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
18.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
11×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`times-frac_binary64`

Counts

4 → 68

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
6.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
3.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
3.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

502×	`times-frac_binary64`
427×	`associate-r_binary64`
289×	`associate-/r*_binary64`
268×	`fma-def_binary64`
264×	`associate-/l*_binary64`

Counts

188 → 235

Iterations

Useful iterations: 1 (0.0ms)

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

prune684.0ms (4.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	301	23	324
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	303	23	326

Error

30.2b

Counts

326 → 23

Alt Table

Status	Error	Program
	53.3b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
	52.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	39.1b	(+.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 (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)))))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	48.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 g)) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	57.5b	(+.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 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	32.6b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	47.6b	(+.f64 (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 (/.f64 -1 a)))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	54.1b	(+.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (+.f64 (.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))))))) (.f64 5/144 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 4))) (pow.f64 g 4))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	32.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	50.9b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.0b	(+.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (sqrt.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)))
	48.0b	(+.f64 (log.f64 (exp.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)))
	34.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	43.3b	(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)) 1/3) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	33.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
▶	32.6b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	38.8b	(+.f64 (expm1.f64 (log1p.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)))
	35.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	40.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (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))))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	34.9b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	35.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.f64 (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 17741 to 9258 computations (47.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.0b	(-.f64 (.f64 g g) (.f64 h h))
	9.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series17.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

17.0ms

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

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

4.0ms

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
456×	`times-frac_binary64`
261×	`fma-def_binary64`
235×	`associate-/r*_binary64`
230×	`associate-/l*_binary64`

Counts

41 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	894
1	295	845
2	829	805
3	3779	801
4	4982	801

prune1.2s (7.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	6	16	22
Picked	1	0	1
Done	0	0	0
Total	319	19	338

Error

29.4b

Counts

338 → 19

Alt Table

Status	Error	Program
	39.1b	(+.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 (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)))))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	57.5b	(+.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 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
▶	32.6b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	46.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) a) -1/2)))
	48.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 g g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	54.1b	(+.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (+.f64 (.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))))))) (.f64 5/144 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 4))) (pow.f64 g 4))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	32.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	50.9b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.0b	(+.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (sqrt.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)))
	34.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	33.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	42.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	40.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (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))))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	52.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	34.9b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	35.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))
	35.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.f64 (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 15742 to 7714 computations (51% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.4b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.0b	(-.f64 (.f64 g g) (.f64 h h))
	9.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.1s (7.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	313	2	315
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	314	20	334

Error

29.4b

Counts

334 → 20

Alt Table

Status	Error	Program
	39.1b	(+.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 (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)))))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	57.5b	(+.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 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	46.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) a) -1/2)))
	48.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 g g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	54.1b	(+.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (+.f64 (.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))))))) (.f64 5/144 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 4))) (pow.f64 g 4))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
▶	32.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	50.9b	(+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	43.0b	(+.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (sqrt.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)))
	34.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	46.2b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (.f64 1/2 (/.f64 (.f64 h h) g)) a) -1/2)))
	33.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	42.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	42.7b	(+.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	35.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.f64 (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)))
	40.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (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))))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	52.2b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	34.9b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	35.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))

Compiler

Compiled 15794 to 7758 computations (50.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))
	3.0b	(-.f64 (.f64 g g) (.f64 h h))
	9.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
	29.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series766.0ms (4.9%)

Counts

1 → 36

Calls

1 calls:

766.0ms

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`times-frac_binary64`
23×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

1 → 42

Calls

1 calls:

7.0ms

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

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

794×	`fma-def_binary64`
281×	`fma-neg_binary64`
228×	`cancel-sign-sub-inv_binary64`
208×	`unswap-sqr_binary64`
190×	`associate-r_binary64`

Counts

78 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	301	4197
1	750	4037
2	2523	3620
3	4812	3598
4	4938	3598

prune3.2s (20.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	538	7	545
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	542	23	565

Error

29.4b

Counts

565 → 23

Alt Table

Status	Error	Program
	39.1b	(+.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 (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)))))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
	32.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	56.6b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
	49.0b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	57.5b	(+.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 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	46.1b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) a) -1/2)))
	48.2b	(+.f64 (/.f64 (cbrt.f64 (-.f64 g g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	63.1b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (.f64 (cbrt.f64 (/.f64 1 a)) (.f64 (pow.f64 h 2/9) (pow.f64 (/.f64 -1/2 g) 1/9)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	32.6b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (/.f64 1 a)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	54.1b	(+.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (+.f64 (.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))))))) (.f64 5/144 (/.f64 (.f64 (cbrt.f64 1/2) (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 4))) (pow.f64 g 4))))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	43.0b	(+.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (sqrt.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)))
	34.9b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	33.6b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 1)) (cbrt.f64 (/.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) a)))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	46.2b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (.f64 1/2 (/.f64 (.f64 h h) g)) a) -1/2)))
	33.5b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	42.7b	(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	42.7b	(+.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	35.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))))) (cbrt.f64 (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)))
	46.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (neg.f64 g)) a) -1/2)))
	33.0b	(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2)))
	34.9b	(+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))
	35.0b	(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a) -1/2)))))

Compiler

Compiled 40114 to 13224 computations (67% saved)

regimes2.2s (13.8%)

Accuracy

Total 0.9b remaining (2.9%)

Threshold costs 0.9b (2.9%)

Counts

200 → 2

Compiler

Compiled 61702 to 33199 computations (46.2% saved)

bsearch118.0ms (0.8%)

Steps

Iters	Range		Point
9	4.0178378271719e-203	2.8664429459564657e-198	2.84008669794384e-198

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	107
1	52	107
2	64	107
3	70	107
4	73	107
5	73	107

end484.0ms (3.1%)

Compiler: Compiled 1288 to 683 computations (47% saved)

Details

analyze588.0ms (3.8%)

sample3.1s (19.6%)

simplify196.0ms (1.3%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series1.5s (9.8%)

rewrite23.0ms (0.2%)

simplify112.0ms (0.7%)

prune684.0ms (4.4%)

localize17.0ms (0.1%)

series17.0ms (0.1%)

rewrite5.0ms (0%)

simplify55.0ms (0.4%)

prune1.2s (7.6%)

localize19.0ms (0.1%)

prune1.1s (7.4%)

localize21.0ms (0.1%)

series766.0ms (4.9%)

rewrite12.0ms (0.1%)

simplify155.0ms (1%)

prune3.2s (20.7%)

regimes2.2s (13.8%)

bsearch118.0ms (0.8%)

simplify5.0ms (0%)

end484.0ms (3.1%)

Profiling