Details

analyze35.0ms (0.9%)

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)

sample876.0ms (21.8%)

Results

847.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% 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

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

13.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series430.0ms (10.7%)

Counts

1 → 24

Calls

1 calls:

429.0ms

(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)))

simplify73.0ms (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: 6 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	517
5	2276	517
6	4146	515
7	5010	515

prune34.0ms (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
	4.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	41.1b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
▶	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.3b	(.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)))))
✓	13.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	13.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	31.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	14.6b	(.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)))))

Compiler

Compiled 692 to 506 computations (26.9% 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)))
✓	0.5b	(cbrt.f64 (/.f64 1/2 a))
✓	0.6b	(cbrt.f64 g)

series427.0ms (10.6%)

Counts

3 → 48

Calls

3 calls:

360.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
34.0ms	(cbrt.f64 (/.f64 1/2 a))
33.0ms	(cbrt.f64 g)

rewrite14.0ms (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:

8.0ms	(*.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 (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

128 → 105

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1729
1	260	1729
2	655	1664
3	1644	1551
4	3907	1511
5	5154	1511

prune101.0ms (2.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	95	10	105
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	100	14	114

Error

0.0b

Counts

114 → 14

Alt Table

Status	Error	Program
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	4.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
✓	13.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (cbrt.f64 a))))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	13.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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)))))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	28.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	32.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 a)))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))

Compiler

Compiled 1842 to 1256 computations (31.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 1/2) a)
✓	0.5b	(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
	0.6b	(cbrt.f64 g)
✓	1.0b	(cbrt.f64 (sqrt.f64 1/2))

series196.0ms (4.9%)

Counts

3 → 12

Calls

3 calls:

192.0ms	(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
3.0ms	(/.f64 (sqrt.f64 1/2) a)
0.0ms	(cbrt.f64 (sqrt.f64 1/2))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

4.0ms	(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
3.0ms	(/.f64 (sqrt.f64 1/2) a)
1.0ms	(cbrt.f64 (sqrt.f64 1/2))

simplify139.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
434×	`associate-/r*_binary64`
413×	`associate-/r/_binary64`
247×	`*-commutative_binary64`
187×	`fma-def_binary64`

Counts

102 → 109

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	125	1474
1	182	1448
2	393	1379
3	1190	1339
4	2659	1321
5	4257	1311
6	4978	1311
7	4993	1311
8	4998	1311

prune96.0ms (2.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	4	8	12
Picked	0	1	1
Done	0	1	1
Total	128	13	141

Error

0.0b

Counts

141 → 13

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.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)))))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	4.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (expm1.f64 (log1p.f64 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	13.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	13.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	28.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	1.8b	(.f64 (.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))

Compiler

Compiled 2740 to 2111 computations (23% saved)

localize9.0ms (0.2%)

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))
✓	0.5b	(cbrt.f64 (/.f64 1 a))
	0.6b	(cbrt.f64 g)

series489.0ms (12.2%)

Counts

3 → 48

Calls

3 calls:

420.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
37.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
32.0ms	(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:

7.0ms	(.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))

simplify155.0ms (3.9%)

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 → 142

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	1902
1	271	1890
2	789	1830
3	1407	1603
4	3526	1552
5	4923	1552
6	4972	1552
7	4944	1552
8	5036	1552

prune101.0ms (2.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	3	7	10
Picked	0	1	1
Done	0	2	2
Total	160	13	173

Error

Counts

173 → 13

Alt Table

Status	Error	Program
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	4.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (expm1.f64 (log1p.f64 (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	13.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	13.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) a))))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	28.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(.f64 (cbrt.f64 (.f64 1/2 g)) (cbrt.f64 (/.f64 1 a)))
	32.1b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 a))) (cbrt.f64 (sqrt.f64 (/.f64 1 a)))))
	1.4b	(.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 a))) (cbrt.f64 (cbrt.f64 (/.f64 1 a))))) (cbrt.f64 (cbrt.f64 (/.f64 1 a))))

Compiler

Compiled 2620 to 1882 computations (28.2% saved)

regimes529.0ms (13.2%)

Accuracy

Total 0.8b remaining (93.7%)

Threshold costs 0.8b (93.7%)

Counts

96 → 1

Compiler

Compiled 8170 to 6511 computations (20.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	13	20
2	13	20

end167.0ms (4.2%)

Compiler: Compiled 219 to 177 computations (19.2% saved)

Details

analyze35.0ms (0.9%)

sample876.0ms (21.8%)

simplify6.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series430.0ms (10.7%)

rewrite3.0ms (0.1%)

simplify73.0ms (1.8%)

prune34.0ms (0.8%)

localize6.0ms (0.1%)

series427.0ms (10.6%)

rewrite14.0ms (0.4%)

simplify88.0ms (2.2%)

prune101.0ms (2.5%)

localize9.0ms (0.2%)

series196.0ms (4.9%)

rewrite12.0ms (0.3%)

simplify139.0ms (3.4%)

prune96.0ms (2.4%)

localize9.0ms (0.2%)

series489.0ms (12.2%)

rewrite19.0ms (0.5%)

simplify155.0ms (3.9%)

prune101.0ms (2.5%)

regimes529.0ms (13.2%)

simplify2.0ms (0.1%)

end167.0ms (4.2%)

Profiling