Details

analyze51.0ms (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)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify11.0ms (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

16.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.9b	(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
✓	16.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite3.0ms (0%)

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)))

series693.0ms (11.1%)

Counts

1 → 24

Calls

1 calls:

692.0ms

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

simplify77.0ms (1.2%)

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 → 80

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 (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Error

0.2b

Counts

81 → 9

Alt Table

Status	Error	Program
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	17.2b	(.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)))
	17.5b	(.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)))))
	17.1b	(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)))))
	17.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	6.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) 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
✓	0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.5b	(cbrt.f64 (*.f64 2 a))
✓	0.6b	(cbrt.f64 g)

rewrite8.0ms (0.1%)

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

series1.2s (19%)

Counts

3 → 48

Calls

3 calls:

715.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
243.0ms	(cbrt.f64 (*.f64 2 a))
228.0ms	(cbrt.f64 g)

simplify97.0ms (1.5%)

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 → 222

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 (1.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	210	12	222
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	212	19	231

Error

0.0b

Counts

231 → 19

Alt Table

Status	Error	Program
	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	17.2b	(.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)))))
	17.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	31.9b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
	17.1b	(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)))))
	1.8b	(.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)))))
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 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)))))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	32.0b	(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 a)))
	6.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.4b	(/.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))))
	1.2b	(/.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	1.6b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (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)))))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	34.6b	(/.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (.f64 2 a))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
	17.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 2425 to 1576 computations (35% 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 (/.f64 1/2 a))
	0.6b	(cbrt.f64 g)

rewrite13.0ms (0.2%)

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)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))

series895.0ms (14.4%)

Counts

2 → 36

Calls

2 calls:

658.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
237.0ms	(cbrt.f64 (/.f64 1/2 a))

simplify123.0ms (2%)

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 → 186

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

prune101.0ms (1.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	220	7	227
Fresh	9	8	17
Picked	0	1	1
Done	0	1	1
Total	229	17	246

Error

0.0b

Counts

246 → 17

Alt Table

Status	Error	Program
	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	16.9b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	34.6b	(.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	1.8b	(.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)))))
▶	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	17.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 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)))))
	1.6b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (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)))))
	31.9b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
	31.9b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 g)) (sqrt.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))))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))

Compiler

Compiled 2314 to 1558 computations (32.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
✓	0.5b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
✓	0.6b	(cbrt.f64 (/.f64 1 a))
	0.6b	(cbrt.f64 g)

rewrite20.0ms (0.3%)

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:

9.0ms	(.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))

series1.1s (18.2%)

Counts

3 → 48

Calls

3 calls:

653.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
250.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
229.0ms	(cbrt.f64 (/.f64 1 a))

simplify167.0ms (2.7%)

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 → 257

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

prune106.0ms (1.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	337	2	339
Fresh	4	10	14
Picked	0	1	1
Done	0	2	2
Total	341	15	356

Error

0.0b

Counts

356 → 15

Alt Table

Status	Error	Program
	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	16.9b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
✓	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	17.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 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)))))
	1.6b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (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)))))
	31.9b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
	31.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 1 a)))
	35.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	0.9b	(.f64 (cbrt.f64 (.f64 1/2 g)) (cbrt.f64 (/.f64 1 a)))

Compiler

Compiled 2666 to 1910 computations (28.4% saved)

regimes750.0ms (12%)

Accuracy

Total 0.8b remaining (93.4%)

Threshold costs 0.8b (93.4%)

Compiler

Compiled 12433 to 9526 computations (23.4% saved)

simplify3.0ms (0%)

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

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample627.0ms (10.1%)

Algorithm

1×

intervals

Results

259.0ms

8000×

body

128

valid

Compiler

Compiled 227 to 173 computations (23.8% saved)

Details

analyze51.0ms (0.8%)

sample16.0ms (0.3%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite3.0ms (0%)

series693.0ms (11.1%)

simplify77.0ms (1.2%)

prune34.0ms (0.6%)

localize6.0ms (0.1%)

rewrite8.0ms (0.1%)

series1.2s (19%)

simplify97.0ms (1.5%)

prune95.0ms (1.5%)

localize6.0ms (0.1%)

rewrite13.0ms (0.2%)

series895.0ms (14.4%)

simplify123.0ms (2%)

prune101.0ms (1.6%)

localize9.0ms (0.1%)

rewrite20.0ms (0.3%)

series1.1s (18.2%)

simplify167.0ms (2.7%)

prune106.0ms (1.7%)

regimes750.0ms (12%)

simplify3.0ms (0%)

end0.0ms (0%)

sample627.0ms (10.1%)

Profiling