Details

analyze535.0ms (5.2%)

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)

sample55.0ms (0.5%)

Algorithm

1×

intervals

Results

39.0ms	243×	body	256	valid
3.0ms	34×	body	128	nan
1.0ms	13×	body	128	valid

Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify231.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64`
634×	`div-sub_binary64`
582×	`unsub-neg_binary64`
519×	`sub-neg_binary64`
502×	`times-frac_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	53	50
2	139	50
3	381	48
4	735	48
5	1189	48
6	1409	48
7	1893	48
8	1853	48
9	2235	48
10	2889	48
11	3457	48
12	3639	48
13	3749	48
14	3797	48
15	3821	48
16	3871	48
17	4858	48
18	4799	48
19	4980	48
20	4834	48

prune6.0ms (0.1%)

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

37.9b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	37.9b	(+.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)))))))
	37.9b	(+.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)))

Status

Error

Program

▶

37.9b

(+.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)))))))

37.9b

(+.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)))

Compiler

Compiled 182 to 100 computations (45.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.6b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite205.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

32.9b

Rules

10×	`cbrt-div_binary64`
8×	`sqrt-prod_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (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))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2905 to 1013 computations (65.1% saved)

series293.0ms (2.9%)

Error

33.0b

Counts

4 → 36

Calls

4 calls:

88.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
88.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
27.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4119 to 2910 computations (29.4% saved)

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

270×	`distribute-rgt-in_binary64`
265×	`exp-sum_binary64`
261×	`distribute-lft-in_binary64`
183×	`times-frac_binary64`
132×	`associate-/l*_binary64`

Counts

96 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2123
1	530	2057
2	1445	1966
3	4542	1936
4	5117	1936

prune181.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	48	20	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	50	20	70

Error

32.3b

Counts

70 → 20

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (/.f64 -1 g)))))
	36.4b	(+.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 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	47.8b	(+.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 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (*.f64 h h)))))))
	50.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (-.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)))))))
	54.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	42.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	56.5b	(+.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) (.f64 (pow.f64 g 1/3) (pow.f64 (/.f64 2 a) 1/3))))
	54.8b	(+.f64 (.f64 (cbrt.f64 1/2) (.f64 (pow.f64 (/.f64 2 a) 1/3) (/.f64 1 (cbrt.f64 (/.f64 -1 g))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	47.1b	(+.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 (/.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 (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))))
	38.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))))
	46.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (+.f64 (.f64 g g) (-.f64 (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	47.8b	(+.f64 (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))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	36.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (*.f64 2 a))))
	44.8b	(+.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))))) (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 (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)))))))
	48.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (.f64 (/.f64 2 a) g))))
	56.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (pow.f64 h 2/3) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))))
▶	34.7b	(+.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) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	34.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 -1 a))) (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)))))))
	50.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (*.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))

Compiler

Compiled 4361 to 2101 computations (51.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.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))))))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite330.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

32.2b

Rules

8×	`sqrt-prod_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`

Counts

4 → 59

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2613 to 901 computations (65.5% saved)

series288.0ms (2.8%)

Error

31.9b

Counts

4 → 39

Calls

4 calls:

87.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
34.0ms	(-.f64 (.f64 g g) (.f64 h h))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3541 to 2472 computations (30.2% saved)

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64`
428×	`associate-r_binary64`
237×	`distribute-rgt-in_binary64`
232×	`distribute-lft-in_binary64`
224×	`exp-sum_binary64`

Counts

98 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1742
1	386	1635
2	1092	1593
3	4186	1548
4	4940	1548
5	4954	1548

prune271.0ms (2.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	54	12	66
Fresh	10	9	19
Picked	1	0	1
Done	0	0	0
Total	65	21	86

Error

31.9b

Counts

86 → 21

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (/.f64 -1 g)))))
	50.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (-.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)))))))
▶	33.5b	(+.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 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	43.9b	(+.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)))))))
	42.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	56.5b	(+.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) (.f64 (pow.f64 g 1/3) (pow.f64 (/.f64 2 a) 1/3))))
	46.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (+.f64 (.f64 g g) (-.f64 (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))) (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 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.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 (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (*.f64 h h))))))
	44.8b	(+.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))))) (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 (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)))))))
	34.7b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	56.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (pow.f64 h 2/3) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))))
	34.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
	39.7b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.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)))))))
	34.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 -1 a))) (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)))))))
	33.5b	(+.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 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	46.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	47.7b	(+.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 h h)) (cbrt.f64 (.f64 (.f64 2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))))
	46.5b	(+.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 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
	50.5b	(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))
	54.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))

Compiler

Compiled 3875 to 1865 computations (51.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
3.0b	(-.f64 (.f64 g g) (.f64 h h))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite230.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

31.9b

Rules

8×	`sqrt-prod_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2381 to 757 computations (68.2% saved)

series224.0ms (2.2%)

Error

31.9b

Counts

4 → 42

Calls

4 calls:

32.0ms	(-.f64 (.f64 g g) (.f64 h h))
31.0ms	(-.f64 (.f64 g g) (.f64 h h))
27.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3103 to 2116 computations (31.8% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

769×	`unswap-sqr_binary64`
468×	`times-frac_binary64`
328×	`*-commutative_binary64`
203×	`unsub-neg_binary64`
153×	`associate-l_binary64`

Counts

100 → 64

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1348
1	147	1192
2	356	1192
3	1202	1192
4	2471	1192
5	4957	1192

prune221.0ms (2.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	64	21	85

Error

31.9b

Counts

85 → 21

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (/.f64 -1 g)))))
	50.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (-.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)))))))
	43.9b	(+.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)))))))
	42.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	56.5b	(+.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) (.f64 (pow.f64 g 1/3) (pow.f64 (/.f64 2 a) 1/3))))
	46.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (+.f64 (.f64 g g) (-.f64 (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))) (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 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.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 (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (*.f64 h h))))))
	48.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (-.f64 g (.f64 1/2 (/.f64 (.f64 h h) g))) g))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	44.8b	(+.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))))) (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 (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)))))))
	34.7b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	56.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (pow.f64 h 2/3) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))))
	34.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
	39.7b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.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)))))))
	34.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 -1 a))) (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)))))))
▶	33.5b	(+.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 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	46.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	47.7b	(+.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 h h)) (cbrt.f64 (.f64 (.f64 2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))))
	46.5b	(+.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 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
	50.5b	(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))
	54.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))

Compiler

Compiled 3413 to 1690 computations (50.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
3.0b	(-.f64 (.f64 g g) (.f64 h h))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite289.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

31.9b

Rules

8×	`sqrt-prod_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2381 to 757 computations (68.2% saved)

series231.0ms (2.3%)

Error

31.9b

Counts

4 → 42

Calls

4 calls:

32.0ms	(-.f64 (.f64 g g) (.f64 h h))
31.0ms	(-.f64 (.f64 g g) (.f64 h h))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3103 to 2116 computations (31.8% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

769×	`unswap-sqr_binary64`
468×	`times-frac_binary64`
328×	`*-commutative_binary64`
203×	`unsub-neg_binary64`
153×	`associate-l_binary64`

Counts

100 → 64

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1348
1	147	1192
2	356	1192
3	1202	1192
4	2471	1192
5	4957	1192

prune206.0ms (2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	63	22	85

Error

31.9b

Counts

85 → 22

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (/.f64 -1 g)))))
	50.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (/.f64 (.f64 h h) a))) (cbrt.f64 (-.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)))))))
	43.9b	(+.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)))))))
	42.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	56.5b	(+.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) (.f64 (pow.f64 g 1/3) (pow.f64 (/.f64 2 a) 1/3))))
	46.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3) (pow.f64 g 3)))) (cbrt.f64 (+.f64 (.f64 g g) (-.f64 (.f64 g (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h))))) (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 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.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 (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (*.f64 h h))))))
	48.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (-.f64 g (.f64 1/2 (/.f64 (.f64 h h) g))) g))) (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	44.8b	(+.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))))) (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 (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)))))))
	34.7b	(+.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 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a)) (cbrt.f64 -1/2)))
	56.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (/.f64 (pow.f64 h 2/3) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (.f64 2 a)))))
	34.9b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))))
	39.7b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (sqrt.f64 (cbrt.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)))))))
	34.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 -1 a))) (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)))))))
	46.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))))
	48.2b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (-.f64 g (.f64 1/2 (/.f64 (.f64 h h) g))) g))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (.f64 2 a))))
	49.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))))) (cbrt.f64 (*.f64 2 a))))
	47.7b	(+.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 h h)) (cbrt.f64 (.f64 (.f64 2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))))
	46.5b	(+.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 (pow.f64 (neg.f64 g) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (cbrt.f64 (.f64 (.f64 2 a) (+.f64 (.f64 g g) (-.f64 (.f64 g (-.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (.f64 h h)))))))
	50.5b	(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))))))
	54.3b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))

Compiler

Compiled 2500 to 1182 computations (52.7% saved)

regimes3.6s (35.3%)

Accuracy

Total 1.7b remaining (5.4%)

Threshold costs 0b (0%)

Compiler

Compiled 85912 to 49875 computations (41.9% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	41	54
2	55	54
3	66	54
4	71	54
5	72	54
6	72	54

end1.0ms (0%)

Compiler: Compiled 37 to 25 computations (32.4% saved)

sample2.4s (23.1%)

Algorithm

1×

intervals

Results

1.3s	7592×	body	256	valid
98.0ms	1196×	body	128	nan
34.0ms	408×	body	128	valid

Compiler

Compiled 1072 to 620 computations (42.2% saved)

Details

analyze535.0ms (5.2%)

sample55.0ms (0.5%)

simplify231.0ms (2.3%)

prune6.0ms (0.1%)

localize22.0ms (0.2%)

rewrite205.0ms (2%)

series293.0ms (2.9%)

simplify98.0ms (1%)

prune181.0ms (1.8%)

localize21.0ms (0.2%)

rewrite330.0ms (3.2%)

series288.0ms (2.8%)

simplify115.0ms (1.1%)

prune271.0ms (2.6%)

localize20.0ms (0.2%)

rewrite230.0ms (2.2%)

series224.0ms (2.2%)

simplify77.0ms (0.7%)

prune221.0ms (2.2%)

localize22.0ms (0.2%)

rewrite289.0ms (2.8%)

series231.0ms (2.3%)

simplify78.0ms (0.8%)

prune206.0ms (2%)

regimes3.6s (35.3%)

simplify5.0ms (0%)

end1.0ms (0%)

sample2.4s (23.1%)

Profiling