Details

analyze35.0ms (0.8%)

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
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)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify6.0ms (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

prune3.0ms (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

15.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.9b	(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
✓	15.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series454.0ms (11.1%)

Counts

1 → 24

Calls

1 calls:

453.0ms

(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)))

simplify75.0ms (1.8%)

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

prune35.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	9	39

Error

0.2b

Counts

39 → 9

Alt Table

Status	Error	Program
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	16.3b	(.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)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.6b	(.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)))))
	16.1b	(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)))))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 705 to 512 computations (27.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.6b	(cbrt.f64 (*.f64 2 a))
✓	0.6b	(cbrt.f64 g)

series551.0ms (13.5%)

Counts

3 → 48

Calls

3 calls:

484.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
36.0ms	(cbrt.f64 (*.f64 2 a))
31.0ms	(cbrt.f64 g)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
622×	`associate-/l/_binary64`
522×	`associate-/r*_binary64`
330×	`associate-/r/_binary64`
329×	`associate-*l/_binary64`

Counts

120 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1821
1	222	1755
2	499	1694
3	1488	1558
4	4423	1558
5	5046	1558

prune95.0ms (2.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	121	19	140

Error

0.0b

Counts

140 → 19

Alt Table

Status	Error	Program
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.2b	(/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	33.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	47.4b	(.f64 (/.f64 (sqrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 (.f64 2 a)))) (/.f64 (sqrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
	1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	16.3b	(.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)))))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	31.4b	(/.f64 (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (.f64 2 a))))
	31.4b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	1.6b	(.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))

Compiler

Compiled 2407 to 1565 computations (35% 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))

series486.0ms (11.9%)

Counts

2 → 36

Calls

2 calls:

449.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
37.0ms	(cbrt.f64 (/.f64 1/2 a))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`

Counts

2 → 67

Calls

2 calls:

7.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
520×	`fma-neg_binary64`
341×	`div-sub_binary64`
324×	`*-commutative_binary64`
269×	`associate-l_binary64`

Counts

103 → 117

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	139	1588
1	242	1588
2	498	1552
3	840	1406
4	1779	1374
5	3468	1347
6	4304	1341
7	4909	1341

prune91.0ms (2.2%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	8	8	16
Picked	0	1	1
Done	0	2	2
Total	137	17	154

Error

0.0b

Counts

154 → 17

Alt Table

Status	Error	Program
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	33.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	31.4b	(.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	16.3b	(.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)))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	4.5b	(.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)))
	0.9b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 g)) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	31.4b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
▶	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 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)))))

Compiler

Compiled 2289 to 1529 computations (33.2% saved)

localize7.0ms (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 g)
✓	0.6b	(cbrt.f64 a)

series538.0ms (13.2%)

Counts

3 → 48

Calls

3 calls:

467.0ms	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
40.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
31.0ms	(cbrt.f64 a)

rewrite14.0ms (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:

6.0ms	(/.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)

simplify81.0ms (2%)

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

prune84.0ms (2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	2	11	13
Picked	0	1	1
Done	1	2	3
Total	143	16	159

Error

Counts

159 → 16

Alt Table

Status	Error	Program
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	31.4b	(.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	16.3b	(.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)))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	1.1b	(/.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 a))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	31.5b	(/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))))
	15.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	33.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 g)) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	31.4b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
✓	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))

Compiler

Compiled 2010 to 1194 computations (40.6% saved)

regimes579.0ms (14.2%)

Accuracy

Total 0.8b remaining (94.1%)

Threshold costs 0.8b (94.1%)

Counts

105 → 1

Compiler

Compiled 9213 to 6968 computations (24.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	14	14
2	13	14

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample678.0ms (16.6%)

Algorithm

1×

intervals

Results

279.0ms

8000×

body

128

valid

Compiler

Compiled 239 to 183 computations (23.4% saved)

Details

analyze35.0ms (0.8%)

sample32.0ms (0.8%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series454.0ms (11.1%)

rewrite3.0ms (0.1%)

simplify75.0ms (1.8%)

prune35.0ms (0.9%)

localize6.0ms (0.1%)

series551.0ms (13.5%)

rewrite10.0ms (0.2%)

simplify86.0ms (2.1%)

prune95.0ms (2.3%)

localize6.0ms (0.1%)

series486.0ms (11.9%)

rewrite13.0ms (0.3%)

simplify112.0ms (2.7%)

prune91.0ms (2.2%)

localize7.0ms (0.2%)

series538.0ms (13.2%)

rewrite14.0ms (0.3%)

simplify81.0ms (2%)

prune84.0ms (2%)

regimes579.0ms (14.2%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample678.0ms (16.6%)

Profiling