Details

analyze42.0ms (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)

sample837.0ms (19.7%)

Results

807.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (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

12.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.2b	(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
✓	11.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series439.0ms (10.3%)

Counts

1 → 24

Calls

1 calls:

439.0ms

(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)))

simplify74.0ms (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

prune33.0ms (0.8%)

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

0.1b

Counts

39 → 9

Alt Table

Status	Error	Program
	12.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	12.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	39.1b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	36.6b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	3.8b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	12.4b	(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)))))
	12.6b	(.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)))))

Compiler

Compiled 689 to 500 computations (27.4% saved)

localize7.0ms (0.2%)

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)

series541.0ms (12.7%)

Counts

3 → 48

Calls

3 calls:

474.0ms	(/.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)))
2.0ms	(cbrt.f64 g)
2.0ms	(cbrt.f64 (*.f64 2 a))

simplify87.0ms (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

prune85.0ms (2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	125	15	140

Error

0.0b

Counts

140 → 15

Alt Table

Status	Error	Program
	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 2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.1b	(/.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	12.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	12.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 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)))
	1.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	34.4b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	1.5b	(.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)))))
	36.6b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	12.6b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 2223 to 1433 computations (35.5% 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 1/2 a)))
	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))

series474.0ms (11.1%)

Counts

2 → 36

Calls

2 calls:

437.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
36.0ms	(cbrt.f64 (/.f64 1/2 a))

rewrite15.0ms (0.4%)

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:

8.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms	(cbrt.f64 (/.f64 1/2 a))

simplify117.0ms (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

prune87.0ms (2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	7	5	12
Picked	0	1	1
Done	1	1	2
Total	136	14	150

Error

0.0b

Counts

150 → 14

Alt Table

Status	Error	Program
	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)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	34.7b	(.f64 (.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))
	36.6b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	0.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	12.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	12.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 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 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	12.6b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))

Compiler

Compiled 2182 to 1464 computations (32.9% saved)

localize8.0ms (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 (/.f64 1 a)))
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
✓	0.6b	(cbrt.f64 (/.f64 1 a))
	0.6b	(cbrt.f64 g)

series517.0ms (12.2%)

Counts

3 → 48

Calls

3 calls:

446.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
40.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
31.0ms	(cbrt.f64 (/.f64 1 a))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`

Counts

3 → 89

Calls

3 calls:

8.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
5.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
2.0ms	(cbrt.f64 (/.f64 1 a))

simplify159.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-neg_binary64`
489×	`exp-sum_binary64`
365×	`*-commutative_binary64`
212×	`associate-+r+_binary64`
204×	`fma-def_binary64`

Counts

137 → 148

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	1902
1	271	1834
2	789	1774
3	1407	1540
4	3526	1483
5	4923	1483
6	4972	1483
7	4944	1483
8	5036	1483

prune96.0ms (2.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	3	8	11
Picked	0	1	1
Done	0	2	2
Total	166	14	180

Error

Counts

180 → 14

Alt Table

Status	Error	Program
	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)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	34.7b	(.f64 (.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))
	34.4b	(.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))) (sqrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 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))))
	0.8b	(.f64 (cbrt.f64 (.f64 1/2 g)) (cbrt.f64 (/.f64 1 a)))
	12.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	12.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
✓	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 a)))
	12.6b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 2686 to 1929 computations (28.2% saved)

regimes413.0ms (9.7%)

Accuracy

Total 0.8b remaining (93.1%)

Threshold costs 0.8b (93.1%)

Counts

77 → 1

Compiler

Compiled 6203 to 4671 computations (24.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end167.0ms (3.9%)

Compiler: Compiled 215 to 169 computations (21.4% saved)

Details

analyze42.0ms (1%)

sample837.0ms (19.7%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series439.0ms (10.3%)

rewrite3.0ms (0.1%)

simplify74.0ms (1.7%)

prune33.0ms (0.8%)

localize7.0ms (0.2%)

series541.0ms (12.7%)

rewrite10.0ms (0.2%)

simplify87.0ms (2.1%)

prune85.0ms (2%)

localize6.0ms (0.1%)

series474.0ms (11.1%)

rewrite15.0ms (0.4%)

simplify117.0ms (2.7%)

prune87.0ms (2%)

localize8.0ms (0.2%)

series517.0ms (12.2%)

rewrite19.0ms (0.5%)

simplify159.0ms (3.7%)

prune96.0ms (2.2%)

regimes413.0ms (9.7%)

simplify2.0ms (0.1%)

end167.0ms (3.9%)

Profiling