Details

analyze689.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

sample264.0ms

Algorithm

intervals

Results

152.0ms	56×	body	8192	exit
52.0ms	114×	body	1024	valid
18.0ms	73×	body	512	valid
12.0ms	40×	body	1024	nan
5.0ms	24×	body	512	nan
5.0ms	29×	body	256	valid
3.0ms	6×	body	2048	valid
3.0ms	34×	body	128	valid
2.0ms	14×	body	256	nan
2.0ms	19×	body	128	nan

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4968	15
1	4968	15

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: 60.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b	(sqrt.f64 (cos.f64 x))
6.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-exp-log_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `sqrt-prod_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 47

Calls

3 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
26.0ms	(sqrt.f64 (cos.f64 x))
11.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5780	953

prune38.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 60.0b

Counts

57 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b	(sqrt.f64 (cos.f64 x))
3.4b	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
6.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
14×	`log-pow_binary64`
13×	`exp-prod_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `log-prod_binary64` `associate-/l_binary64` `sqrt-prod_binary64`
2×	`div-inv_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
5.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
23.0ms	(sqrt.f64 (cos.f64 x))
244.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
11.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4940	1509
1	4940	1509

prune55.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 60.0b

Counts

87 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.5b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.6b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
6.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`log-prod_binary64`
8×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64` `pow1_binary64`
6×	`associate--l+_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `flip--_binary64`

Counts

4 → 56

Calls

4 calls:

6.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
4.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
183.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
127.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
10.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4911	1155
1	4911	1155

prune37.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	68	4	72

Merged error: 60.0b

Counts

72 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.5b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.6b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
6.1b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`log-prod_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `associate--l+_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64`
4×	`pow-pow_binary64` `unpow-prod-up_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64` `unpow-prod-down_binary64` `exp-prod_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `pow-sub_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

4 → 64

Calls

4 calls:

7.0ms	(pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
4.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
158.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
127.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
10.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4894	1446
1	4894	1446

prune43.0ms

Filtered

50 candidates to 76 candidates (-52.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 60.0b

Counts

80 → 4

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 59.6b against oracle of 59.6b and baseline of 59.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	9	19

end0.0ms

sample7.5s

Algorithm

intervals

Results

4.0s	1485×	body	8192	exit
1.6s	3896×	body	1024	valid
506.0ms	2028×	body	512	valid
480.0ms	1590×	body	1024	nan
165.0ms	1033×	body	256	valid
152.0ms	771×	body	512	nan
101.0ms	179×	body	2048	valid
85.0ms	864×	body	128	valid
56.0ms	388×	body	256	nan
29.0ms	380×	body	128	nan
1.0ms	1×	body	2048	nan

Details

analyze689.0ms

sample264.0ms

simplify95.0ms

prune3.0ms

localize7.0ms

rewrite9.0ms

series103.0ms

simplify78.0ms

prune38.0ms

localize12.0ms

rewrite18.0ms

series331.0ms

simplify67.0ms

prune55.0ms

localize10.0ms

rewrite17.0ms

series355.0ms

simplify83.0ms

prune37.0ms

localize14.0ms

rewrite18.0ms

series343.0ms

simplify79.0ms

prune43.0ms

regimes12.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.5s

Profiling