Details

analyze728.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	244×	body	80	valid
5.0ms	4×	body	640	valid
2.0ms	59×	body	80	invalid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series33.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))
12.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5376	519

prune61.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5.0))
0.0b	(.f64 x (.f64 (+.f64 y z) 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `+-commutative_binary64` `associate-l/_binary64`
1×	`distribute-lft-out_binary64` `associate-r_binary64` `associate-+l+_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
12.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5.0))
8.0ms	(.f64 x (.f64 (+.f64 y z) 2))

series43.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
19.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5.0))
10.0ms	(.f64 x (.f64 (+.f64 y z) 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4944	633
1	4944	633

prune56.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

29.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))))
77.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
80.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
83.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune192.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
79.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
80.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
80.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5091	1472

prune186.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

regimes267.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample656.0ms

Algorithm

intervals

Results

303.0ms	7718×	body	80	valid
70.0ms	1835×	body	80	invalid
16.0ms	91×	body	1280	valid
16.0ms	113×	body	640	valid
6.0ms	56×	body	320	valid
2.0ms	22×	body	160	valid

Details

analyze728.0ms

sample29.0ms

simplify11.0ms

prune9.0ms

localize9.0ms

rewrite22.0ms

series33.0ms

simplify48.0ms

prune61.0ms

localize10.0ms

rewrite31.0ms

series43.0ms

simplify40.0ms

prune56.0ms

localize14.0ms

rewrite65.0ms

series393.0ms

simplify67.0ms

prune192.0ms

localize17.0ms

rewrite43.0ms

series319.0ms

simplify36.0ms

prune186.0ms

regimes267.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample656.0ms

Profiling