Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample93.0ms

Algorithm

intervals

Results

29.0ms	285×	body	80	invalid
21.0ms	256×	body	80	valid

simplify350.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (346.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 5.6b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 4.0) i)
0.5b	(.f64 (.f64 x 18.0) y)
3.9b	(.f64 (.f64 (*.f64 x 18.0) y) z)
4.9b	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-r_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

5.0ms	(.f64 (.f64 x 4.0) i)
5.0ms	(.f64 (.f64 x 18.0) y)
7.0ms	(.f64 (.f64 (*.f64 x 18.0) y) z)
10.0ms	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)

series30.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (.f64 x 4.0) i)
4.0ms	(.f64 (.f64 x 18.0) y)
8.0ms	(.f64 (.f64 (*.f64 x 18.0) y) z)
13.0ms	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5496	678

prune130.0ms

Filtered

46 candidates to 93 candidates (-102.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Merged error: 1.4b

Counts

94 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27.0) k)
0.2b	(.f64 (.f64 x 4.0) i)
0.5b	(.f64 (.f64 x 18.0) y)
7.2b	(.f64 (.f64 (.f64 x 18.0) y) (.f64 z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
10×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

5.0ms	(.f64 (.f64 j 27.0) k)
5.0ms	(.f64 (.f64 x 4.0) i)
7.0ms	(.f64 (.f64 x 18.0) y)
10.0ms	(.f64 (.f64 (.f64 x 18.0) y) (.f64 z t))

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 j 27.0) k)
4.0ms	(.f64 (.f64 x 4.0) i)
4.0ms	(.f64 (.f64 x 18.0) y)
14.0ms	(.f64 (.f64 (.f64 x 18.0) y) (.f64 z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5004	659

prune130.0ms

Filtered

43 candidates to 94 candidates (-118.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0.6b

Counts

101 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 18.0 y))
0.2b	(.f64 (.f64 j 27.0) k)
0.2b	(.f64 (.f64 x 4.0) i)
7.2b	(.f64 (.f64 x (.f64 18.0 y)) (.f64 z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

5.0ms	(.f64 x (.f64 18.0 y))
5.0ms	(.f64 (.f64 j 27.0) k)
9.0ms	(.f64 (.f64 x 4.0) i)
10.0ms	(.f64 (.f64 x (.f64 18.0 y)) (.f64 z t))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 x (.f64 18.0 y))
4.0ms	(.f64 (.f64 j 27.0) k)
6.0ms	(.f64 (.f64 x 4.0) i)
14.0ms	(.f64 (.f64 x (.f64 18.0 y)) (.f64 z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5652	660

prune123.0ms

Filtered

44 candidates to 94 candidates (-113.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Merged error: 0.3b

Counts

102 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 x (.f64 18.0 y)) (.f64 z t)) (.f64 (.f64 a 4.0) t)) (.f64 b c)) (.f64 x (*.f64 4.0 i)))
0.2b	(.f64 x (.f64 18.0 y))
0.2b	(.f64 (.f64 j 27.0) k)
7.2b	(.f64 (.f64 x (.f64 18.0 y)) (.f64 z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`diff-log_binary64`
3×	`*-commutative_binary64`
2×	`sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 79

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 x (.f64 18.0 y)) (.f64 z t)) (.f64 (.f64 a 4.0) t)) (.f64 b c)) (.f64 x (*.f64 4.0 i)))
5.0ms	(.f64 x (.f64 18.0 y))
5.0ms	(.f64 (.f64 j 27.0) k)
10.0ms	(.f64 (.f64 x (.f64 18.0 y)) (.f64 z t))

series160.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 x (.f64 18.0 y)) (.f64 z t)) (.f64 (.f64 a 4.0) t)) (.f64 b c)) (.f64 x (*.f64 4.0 i)))
4.0ms	(.f64 x (.f64 18.0 y))
4.0ms	(.f64 (.f64 j 27.0) k)
14.0ms	(.f64 (.f64 x (.f64 18.0 y)) (.f64 z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5042	1017

prune77.0ms

Filtered

47 candidates to 91 candidates (-93.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 0.3b

Counts

100 → 10

regimes2.3s

Accuracy

61.5% (2.3b remaining)

Error of 2.4b against oracle of 0.1b and baseline of 6.1b

bsearch137.0ms

Steps

Iters	Range	Point
9	1.2960000342545707e-54	1.6995899023222898e-49	1.178785463028594e-52
8	5.347674525752913e-104	8.787175045745289e-101	1.389098210761329e-101
7	-1.7990099957690524e-119	-3.371514877554702e-121	-1.7713669608055964e-119

Iters

Range

Point

1.2960000342545707e-54

1.6995899023222898e-49

1.178785463028594e-52

5.347674525752913e-104

8.787175045745289e-101

1.389098210761329e-101

-1.7990099957690524e-119

-3.371514877554702e-121

-1.7713669608055964e-119

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	242	185
1	242	185

end0.0ms

sample2.2s

Algorithm

intervals

Results

688.0ms	8099×	body	80	invalid
683.0ms	8000×	body	80	valid

Details

analyze2.2s

sample93.0ms

simplify350.0ms

prune14.0ms

localize26.0ms

rewrite30.0ms

series30.0ms

simplify51.0ms

prune130.0ms

localize23.0ms

rewrite30.0ms

series27.0ms

simplify50.0ms

prune130.0ms

localize22.0ms

rewrite31.0ms

series29.0ms

simplify49.0ms

prune123.0ms

localize25.0ms

rewrite37.0ms

series160.0ms

simplify57.0ms

prune77.0ms

regimes2.3s

bsearch137.0ms

simplify4.0ms

end0.0ms

sample2.2s

Profiling