Details

analyze591.0ms (5%)

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)

sample2.8s (24.2%)

Results

2.5s	7799×	body	256	valid
203.0ms	1246×	body	128	invalid
96.0ms	457×	body	128	valid

Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
355×	`fma-def_binary64`
203×	`distribute-rgt-in_binary64`
194×	`associate-/l*_binary64`
192×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	54	50
2	154	50
3	478	48
4	1279	48
5	2581	48
6	3823	48

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

36.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	36.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 139 to 70 computations (49.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.7b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	10.5b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series279.0ms (2.4%)

Counts

4 → 60

Calls

4 calls:

173.0ms	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
86.0ms	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
12.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

196×	`add-sqr-sqrt_binary64`
189×	`add-cbrt-cube_binary64`
189×	`log1p-expm1-u_binary64`
189×	`expm1-log1p-u_binary64`
185×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	408	68

Stop Event

1×	node limit

Counts

4 → 115

Calls

4 calls:

45.0ms	(-.f64 (.f64 g g) (.f64 h h))
45.0ms	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
45.0ms	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
45.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

854×	`times-frac_binary64`
533×	`cancel-sign-sub-inv_binary64`
274×	`fma-neg_binary64`
184×	`associate-r_binary64`
138×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2269
1	639	2190
2	2329	2168

Stop Event

1×	node limit

Counts

175 → 183

prune663.0ms (5.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	281	17	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	282	17	299

Error

32.7b

Counts

299 → 17

Alt Table

Status	Error	Program
	34.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (/.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (sqrt.f64 (+.f64 (pow.f64 g 4) (+.f64 (pow.f64 h 4) (pow.f64 (*.f64 g h) 2)))))) (/.f64 -1/2 a))))
	43.3b	(+.f64 (pow.f64 (pow.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)) 1/6) 2) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	37.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
	36.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)))) 2) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	34.9b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) 1) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	51.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	40.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 -1/2 a))))
▶	34.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	41.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))

Compiler

Compiled 14179 to 6858 computations (51.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	10.5b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
	30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series14.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

14.0ms

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`fma-def_binary64`
325×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`
150×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	190	15
2	2816	14

Stop Event

1×	node limit

Counts

1 → 96

Calls

1 calls:

46.0ms

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

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

447×	`distribute-neg-frac_binary64`
443×	`times-frac_binary64`
231×	`associate-/l*_binary64`
229×	`fma-def_binary64`
215×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	618
1	257	598
2	841	584
3	4127	584

Stop Event

1×	node limit

Counts

120 → 136

prune1.4s (11.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	389	7	396
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	391	22	413

Error

31.3b

Counts

413 → 22

Alt Table

Status	Error	Program
▶	34.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (/.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (sqrt.f64 (+.f64 (pow.f64 g 4) (+.f64 (pow.f64 h 4) (pow.f64 (*.f64 g h) 2)))))) (/.f64 -1/2 a))))
	37.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	38.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	45.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	44.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) 1) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	39.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	54.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (fma.f64 (pow.f64 (cbrt.f64 g) 2) (neg.f64 (cbrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	42.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	43.3b	(+.f64 (pow.f64 (pow.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)) 1/6) 2) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	56.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (log.f64 (exp.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
	36.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)))) 2) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	34.9b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	51.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	60.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	41.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))

Compiler

Compiled 18288 to 8078 computations (55.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	7.7b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.6s (13.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	400	4	404
Fresh	2	19	21
Picked	0	1	1
Done	0	0	0
Total	402	24	426

Error

31.3b

Counts

426 → 24

Alt Table

Status	Error	Program
	53.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 g) 2)) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
✓	34.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (/.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (sqrt.f64 (+.f64 (pow.f64 g 4) (+.f64 (pow.f64 h 4) (pow.f64 (*.f64 g h) 2)))))) (/.f64 -1/2 a))))
	37.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	38.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	45.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	47.4b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (.f64 (/.f64 -1/2 g) (.f64 h h)))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	34.9b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) 1) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	39.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
	41.8b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	54.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (fma.f64 (pow.f64 (cbrt.f64 g) 2) (neg.f64 (cbrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	42.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	43.3b	(+.f64 (pow.f64 (pow.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)) 1/6) 2) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	56.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (log.f64 (exp.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	60.8b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (neg.f64 (sqrt.f64 g)) (sqrt.f64 g) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	41.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
	36.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)))) 2) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	60.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))

Compiler

Compiled 18959 to 8560 computations (54.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	2.8b	(-.f64 (.f64 g g) (.f64 h h))
	7.7b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune1.8s (15%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	401	3	404
Fresh	2	20	22
Picked	1	0	1
Done	0	1	1
Total	404	24	428

Error

31.3b

Counts

428 → 24

Alt Table

Status	Error	Program
✓	34.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (/.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (sqrt.f64 (+.f64 (pow.f64 g 4) (+.f64 (pow.f64 h 4) (pow.f64 (*.f64 g h) 2)))))) (/.f64 -1/2 a))))
	37.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	38.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	45.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	44.4b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) 1) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	39.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
	41.8b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	45.3b	(+.f64 (.f64 (cbrt.f64 (.f64 g -2)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	54.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (fma.f64 (pow.f64 (cbrt.f64 g) 2) (neg.f64 (cbrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	42.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
	43.3b	(+.f64 (pow.f64 (pow.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)) 1/6) 2) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	56.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (log.f64 (exp.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	60.8b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (neg.f64 (sqrt.f64 g)) (sqrt.f64 g) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	41.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
	36.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a)))) 2) (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	47.4b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (.f64 (/.f64 -1/2 g) (.f64 h h)))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	43.3b	(+.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	53.2b	(+.f64 (.f64 (cbrt.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 g) 2)) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))))) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	60.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))

Compiler

Compiled 18070 to 8276 computations (54.2% saved)

regimes1.8s (15.4%)

Accuracy

Total 0.5b remaining (1.7%)

Threshold costs 0.5b (1.7%)

Counts

146 → 2

Compiler

Compiled 42743 to 25990 computations (39.2% saved)

bsearch107.0ms (0.9%)

Steps

Iters	Range		Point
10	3.436854016386436e-173	2.050578750484223e-162	2.031160799889324e-162

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	90
1	50	90
2	58	90
3	62	90
4	64	90

Stop Event

1×

saturated

end438.0ms (3.7%)

Compiler: Compiled 1034 to 631 computations (39% saved)

Details

analyze591.0ms (5%)

sample2.8s (24.2%)

simplify33.0ms (0.3%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series279.0ms (2.4%)

rewrite48.0ms (0.4%)

simplify54.0ms (0.5%)

prune663.0ms (5.7%)

localize17.0ms (0.1%)

series14.0ms (0.1%)

rewrite48.0ms (0.4%)

simplify42.0ms (0.4%)

prune1.4s (11.6%)

localize19.0ms (0.2%)

prune1.6s (13.3%)

localize20.0ms (0.2%)

prune1.8s (15%)

regimes1.8s (15.4%)

bsearch107.0ms (0.9%)

simplify5.0ms (0%)

end438.0ms (3.7%)

Profiling