Details

analyze45.0ms (1.1%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	17.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series417.0ms (9.9%)

Counts

1 → 24

Calls

1 calls:

417.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

809×	`div-sub_binary64`
664×	`fma-def_binary64`
461×	`fma-neg_binary64`
390×	`times-frac_binary64`
300×	`unswap-sqr_binary64`

Counts

42 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	513
5	2276	513
6	4146	513
7	5010	513

prune34.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	29	9	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	10	39

Error

0.2b

Counts

39 → 10

Alt Table

Status	Error	Program
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	17.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	37.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	6.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	17.6b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	17.9b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	17.4b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	17.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	46.7b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 739 to 538 computations (27.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))

series493.0ms (11.7%)

Counts

3 → 48

Calls

3 calls:

425.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
38.0ms	(cbrt.f64 (/.f64 1/2 a))
30.0ms	(cbrt.f64 g)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

3 → 80

Calls

3 calls:

10.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

521×	`exp-sum_binary64`
480×	`*-commutative_binary64`
376×	`fma-neg_binary64`
371×	`associate-l_binary64`
306×	`associate-r_binary64`

Counts

128 → 116

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1729
1	260	1725
2	655	1660
3	1644	1530
4	3907	1502
5	5154	1502

prune85.0ms (2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	104	12	116
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	109	17	126

Error

0.0b

Counts

126 → 17

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	6.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	17.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	29.7b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))))
	1.5b	(.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	17.4b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	35.9b	(.f64 (cbrt.f64 (sqrt.f64 g)) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	37.2b	(*.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))
	37.7b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	17.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))

Compiler

Compiled 2059 to 1372 computations (33.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (/.f64 1/2 a))

series415.0ms (9.9%)

Counts

1 → 24

Calls

1 calls:

415.0ms

(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`associate-l_binary64`
11×	`times-frac_binary64`
11×	`*-un-lft-identity_binary64`

Counts

1 → 43

Calls

1 calls:

7.0ms

(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

838×	`div-sub_binary64`
567×	`times-frac_binary64`
520×	`fma-def_binary64`
489×	`fma-neg_binary64`
216×	`sqr-pow_binary64`

Counts

67 → 71

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	115	1128
1	196	1128
2	345	1096
3	664	959
4	1364	935
5	2590	928
6	4244	928
7	5174	928

prune97.0ms (2.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	120	18	138

Error

0.0b

Counts

138 → 18

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	6.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	17.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 g)))
	29.7b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))))
	1.5b	(.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	17.4b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	35.9b	(.f64 (cbrt.f64 (sqrt.f64 g)) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	37.2b	(*.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
✓	0.8b	(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))
	37.7b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	17.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))

Compiler

Compiled 2173 to 1465 computations (32.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.5b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
✓	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 g)

series514.0ms (12.2%)

Counts

3 → 48

Calls

3 calls:

441.0ms	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
42.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
31.0ms	(cbrt.f64 a)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 72

Calls

3 calls:

5.0ms	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
4.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
1.0ms	(cbrt.f64 a)

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

876×	`times-frac_binary64`
474×	`associate-/l*_binary64`
338×	`associate-l_binary64`
287×	`associate-r_binary64`
231×	`associate-/r*_binary64`

Counts

120 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1629
1	266	1546
2	858	1496
3	4046	1340
4	4968	1340

prune96.0ms (2.3%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	1	14	15
Picked	1	0	1
Done	0	2	2
Total	140	20	160

Error

0.0b

Counts

160 → 20

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	6.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	17.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.2b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	29.8b	(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 a))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 a))))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 g)))
	29.7b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))))
	1.5b	(.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	17.4b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	35.9b	(.f64 (cbrt.f64 (sqrt.f64 g)) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	37.2b	(*.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	17.4b	(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) 3) a))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	0.9b	(/.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 a))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	17.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))
✓	0.8b	(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))

Compiler

Compiled 2099 to 1256 computations (40.2% saved)

regimes853.0ms (20.3%)

Accuracy

Total 0.8b remaining (94.9%)

Threshold costs 0.8b (94.9%)

Counts

142 → 1

Compiler

Compiled 11347 to 8674 computations (23.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	9	13

end0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

sample736.0ms (17.5%)

Algorithm

1×

intervals

Results

283.0ms

8000×

body

128

valid

Compiler

Compiled 327 to 244 computations (25.4% saved)

Details

analyze45.0ms (1.1%)

sample17.0ms (0.4%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series417.0ms (9.9%)

rewrite3.0ms (0.1%)

simplify70.0ms (1.7%)

prune34.0ms (0.8%)

localize6.0ms (0.1%)

series493.0ms (11.7%)

rewrite16.0ms (0.4%)

simplify88.0ms (2.1%)

prune85.0ms (2%)

localize6.0ms (0.1%)

series415.0ms (9.9%)

rewrite10.0ms (0.2%)

simplify95.0ms (2.2%)

prune97.0ms (2.3%)

localize9.0ms (0.2%)

series514.0ms (12.2%)

rewrite13.0ms (0.3%)

simplify79.0ms (1.9%)

prune96.0ms (2.3%)

regimes853.0ms (20.3%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample736.0ms (17.5%)

Profiling