Details

analyze389.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	239×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	15×	body	80	invalid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	2425	11
1	2425	11

prune7.0ms

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: 0.6b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.5b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite27.0ms

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:

3.0ms	(-.f64 2/3 z)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
7.0ms	(*.f64 (-.f64 y x) 6)
11.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

series32.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 2/3 z)
13.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(*.f64 (-.f64 y x) 6)
12.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5185	879

prune116.0ms

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))))
0.2b	(.f64 (.f64 6 z) (-.f64 x y))

rewrite27.0ms

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:

9.0ms	(+.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))

series37.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
13.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
11.0ms	(.f64 (.f64 6 z) (-.f64 x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4963	970
1	4963	970

prune75.0ms

Filtered

47 candidates to 64 candidates (-36.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	3	5	8
Picked	1	0	1
Done	0	1	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 2/3 z)
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
0.0b	(*.f64 6 (-.f64 2/3 z))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

4.0ms	(-.f64 2/3 z)
5.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
7.0ms	(*.f64 6 (-.f64 2/3 z))
11.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 2/3 z)
13.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
3.0ms	(*.f64 6 (-.f64 2/3 z))
9.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

simplify25.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5053	920

prune91.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0.0b

Counts

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

rewrite38.0ms

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:

12.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
7.0ms	(*.f64 z (-.f64 x y))
8.0ms	(.f64 6 (.f64 z (-.f64 x y)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y))))
13.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 z (-.f64 x y)))))
7.0ms	(*.f64 z (-.f64 x y))
9.0ms	(.f64 6 (.f64 z (-.f64 x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	1171
1	4946	1171

prune71.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

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

Merged error: 0.0b

Counts

101 → 8

regimes172.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample545.0ms

Algorithm

intervals

Results

260.0ms	7288×	body	80	valid
33.0ms	257×	body	640	valid
26.0ms	159×	body	1280	valid
20.0ms	579×	body	80	invalid
17.0ms	177×	body	320	valid
10.0ms	119×	body	160	valid

Details

analyze389.0ms

sample19.0ms

simplify151.0ms

prune7.0ms

localize7.0ms

rewrite27.0ms

series32.0ms

simplify34.0ms

prune116.0ms

localize10.0ms

rewrite27.0ms

series37.0ms

simplify53.0ms

prune75.0ms

localize10.0ms

rewrite28.0ms

series28.0ms

simplify25.0ms

prune91.0ms

localize10.0ms

rewrite38.0ms

series42.0ms

simplify53.0ms

prune71.0ms

regimes172.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample545.0ms

Profiling