Details

analyze673.0ms

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
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample28.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
3.0ms	84×	body	80	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	703	13
1	703	13

prune3.0ms

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

Merged error: 5.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series41.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
22.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
14.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify32.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4992	627
1	4992	627

prune44.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 2.0b

Counts

58 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-*r/_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`sub-neg_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 80

Calls

4 calls:

7.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series84.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
14.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5049	924

prune66.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 2.0b

Counts

98 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
4.7b	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.7b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
10×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
17.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
7.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

series45.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
15.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
7.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
7.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5172	1122

prune51.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 2.0b

Counts

107 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t))))
0.0b	(-.f64 z (sqrt.f64 t))
0.1b	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
0.1b	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`associate-r_binary64` `associate-*r/_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-log-exp_binary64`
6×	`sub-neg_binary64` `add-cube-cbrt_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`flip3-+_binary64` `difference-of-squares_binary64` `flip-+_binary64` `frac-times_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`associate--r+_binary64` `diff-log_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 84

Calls

4 calls:

5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t))))
4.0ms	(-.f64 z (sqrt.f64 t))
8.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
15.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(-.f64 (.f64 x x) (.f64 (.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t))))
6.0ms	(-.f64 z (sqrt.f64 t))
11.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
22.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5036	1150

prune43.0ms

Filtered

69 candidates to 96 candidates (-39.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	7	102

Merged error: 2.0b

Counts

102 → 7

regimes655.0ms

Accuracy

75.9% (0.8b remaining)

Error of 3.5b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	324	36
1	324	36

end0.0ms

sample716.0ms

Algorithm

intervals

Results

314.0ms	8000×	body	80	valid
118.0ms	3126×	body	80	invalid

Details

analyze673.0ms

sample28.0ms

simplify37.0ms

prune3.0ms

localize9.0ms

rewrite20.0ms

series41.0ms

simplify32.0ms

prune44.0ms

localize16.0ms

rewrite38.0ms

series84.0ms

simplify43.0ms

prune66.0ms

localize11.0ms

rewrite42.0ms

series45.0ms

simplify49.0ms

prune51.0ms

localize13.0ms

rewrite35.0ms

series69.0ms

simplify64.0ms

prune43.0ms

regimes655.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample716.0ms

Profiling