Details

analyze34.0ms (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)

sample754.0ms (17.6%)

Results

727.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.1%)

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

19.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.5b	(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
✓	19.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series415.0ms (9.7%)

Counts

1 → 24

Calls

1 calls:

415.0ms

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

rewrite4.0ms (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:

3.0ms

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

simplify68.0ms (1.6%)

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

prune31.0ms (0.7%)

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
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	41.0b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	7.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	42.7b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	19.8b	(.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)))
✓	19.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	19.6b	(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)))))
	19.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 689 to 500 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)

series522.0ms (12.2%)

Counts

3 → 48

Calls

3 calls:

460.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
34.0ms	(cbrt.f64 (*.f64 2 a))
28.0ms	(cbrt.f64 g)

rewrite9.0ms (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:

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

simplify82.0ms (1.9%)

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

prune88.0ms (2.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	120	11	131
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	123	17	140

Error

0.1b

Counts

140 → 17

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 1/2 a)))
✓	19.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	34.7b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	19.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (.f64 1 (cbrt.f64 (.f64 2 a))))
	41.0b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	7.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	36.0b	(/.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (.f64 2 a)))
	19.8b	(.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)))))
	1.4b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	19.9b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (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)))
	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)))))

Compiler

Compiled 2302 to 1484 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) (.f64 1 (cbrt.f64 (.f64 2 a))))
	0.6b	(cbrt.f64 (*.f64 2 a))
	0.6b	(cbrt.f64 g)

series442.0ms (10.3%)

Counts

1 → 24

Calls

1 calls:

442.0ms

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
6×	`cbrt-prod_binary64`
6×	`times-frac_binary64`
5×	`*-un-lft-identity_binary64`

Counts

1 → 30

Calls

1 calls:

5.0ms

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

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-neg_binary64`
684×	`fma-def_binary64`
400×	`div-sub_binary64`
267×	`times-frac_binary64`
243×	`associate-/l*_binary64`

Counts

54 → 58

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	95	971
1	161	902
2	293	864
3	638	717
4	1295	693
5	3380	690
6	4184	690
7	4983	690
8	4997	690

prune133.0ms (3.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	98	17	115

Error

0.1b

Counts

115 → 17

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 1/2 a)))
✓	19.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	34.7b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	19.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (.f64 1 (cbrt.f64 (.f64 2 a))))
	41.0b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	7.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	36.0b	(/.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (.f64 2 a)))
	19.8b	(.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)))))
	1.4b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	19.9b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (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)))
	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)))))

Compiler

Compiled 1784 to 1212 computations (32.1% saved)

localize5.0ms (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 (/.f64 1/2 a))
	0.6b	(cbrt.f64 g)

series447.0ms (10.4%)

Counts

2 → 36

Calls

2 calls:

411.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
36.0ms	(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))

simplify114.0ms (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

prune99.0ms (2.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	8	6	14
Picked	1	0	1
Done	0	2	2
Total	135	17	152

Error

0.0b

Counts

152 → 17

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (cbrt.f64 g) (*.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))))
	1.0b	(.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (/.f64 1/2 a)))))
✓	19.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 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)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	34.7b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	19.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (.f64 1 (cbrt.f64 (.f64 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)))))
	34.7b	(.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	36.0b	(.f64 (cbrt.f64 (sqrt.f64 g)) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	19.9b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.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)))))
	1.0b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 2095 to 1390 computations (33.7% saved)

regimes685.0ms (16%)

Accuracy

Total 0.8b remaining (93.7%)

Threshold costs 0.8b (93.7%)

Counts

129 → 1

Compiler

Compiled 10848 to 8214 computations (24.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	15	16
2	14	16

end203.0ms (4.8%)

Compiler: Compiled 288 to 219 computations (24% saved)

Details

analyze34.0ms (0.8%)

sample754.0ms (17.6%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series415.0ms (9.7%)

rewrite4.0ms (0.1%)

simplify68.0ms (1.6%)

prune31.0ms (0.7%)

localize6.0ms (0.1%)

series522.0ms (12.2%)

rewrite9.0ms (0.2%)

simplify82.0ms (1.9%)

prune88.0ms (2.1%)

localize6.0ms (0.1%)

series442.0ms (10.3%)

rewrite7.0ms (0.2%)

simplify98.0ms (2.3%)

prune133.0ms (3.1%)

localize5.0ms (0.1%)

series447.0ms (10.4%)

rewrite13.0ms (0.3%)

simplify114.0ms (2.7%)

prune99.0ms (2.3%)

regimes685.0ms (16%)

simplify2.0ms (0%)

end203.0ms (4.8%)

Profiling