Details

analyze459.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	233×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	20×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	160	valid

simplify214.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	2427	16
1	2427	16

prune3.0ms

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 78

Calls

4 calls:

4.0ms	(-.f64 2/3 z)
7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
11.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

series117.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(-.f64 2/3 z)
19.0ms	(*.f64 (-.f64 y x) 6)
47.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
39.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5721	1296

prune91.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
0.5b	(.f64 (.f64 6 z) (-.f64 x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
5×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
8.0ms	(.f64 (.f64 6 z) (-.f64 x y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
48.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
41.0ms	(.f64 (.f64 6 z) (-.f64 x y))

simplify89.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4964	1435
1	4964	1435

prune59.0ms

Filtered

46 candidates to 64 candidates (-39.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	66	8	74

Merged error: 0.0b

Counts

74 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
0.0b	(*.f64 z (-.f64 x y))
0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
0.3b	(.f64 6 (.f64 z (-.f64 x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
10×	`sub-neg_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip3--_binary64` `associate-r_binary64` `associate-l_binary64` `flip--_binary64`
5×	`associate-+r+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64` `associate-*l/_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
7.0ms	(*.f64 z (-.f64 x y))
9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
8.0ms	(.f64 6 (.f64 z (-.f64 x y)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
31.0ms	(*.f64 z (-.f64 x y))
44.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
37.0ms	(.f64 6 (.f64 z (-.f64 x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5005	1729

prune77.0ms

Filtered

64 candidates to 93 candidates (-45.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 6 (.f64 z x)) (.f64 y (.f64 z -6)))
0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (+.f64 (.f64 6 (.f64 z x)) (.f64 y (*.f64 z -6)))))
0.2b	(.f64 6 (.f64 z x))
0.4b	(.f64 y (.f64 z -6))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

7.0ms	(+.f64 (.f64 6 (.f64 z x)) (.f64 y (.f64 z -6)))
15.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (+.f64 (.f64 6 (.f64 z x)) (.f64 y (*.f64 z -6)))))
5.0ms	(.f64 6 (.f64 z x))
5.0ms	(.f64 y (.f64 z -6))

series120.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (.f64 6 (.f64 z x)) (.f64 y (.f64 z -6)))
44.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (+.f64 (.f64 6 (.f64 z x)) (.f64 y (*.f64 z -6)))))
16.0ms	(.f64 6 (.f64 z x))
18.0ms	(.f64 y (.f64 z -6))

simplify68.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4997	1072
1	4997	1072

prune48.0ms

Filtered

47 candidates to 74 candidates (-57.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms

sample580.0ms

Algorithm

intervals

Results

273.0ms	7291×	body	80	valid
33.0ms	245×	body	640	valid
30.0ms	148×	body	1280	valid
24.0ms	202×	body	320	valid
23.0ms	640×	body	80	invalid
8.0ms	114×	body	160	valid

Details

analyze459.0ms

sample20.0ms

simplify214.0ms

prune3.0ms

localize10.0ms

rewrite28.0ms

series117.0ms

simplify66.0ms

prune91.0ms

localize10.0ms

rewrite29.0ms

series134.0ms

simplify89.0ms

prune59.0ms

localize10.0ms

rewrite39.0ms

series160.0ms

simplify93.0ms

prune77.0ms

localize12.0ms

rewrite36.0ms

series120.0ms

simplify68.0ms

prune48.0ms

regimes56.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample580.0ms

Profiling