Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample34.0ms

Algorithm

intervals

Results

13.0ms	59×	body	1024	valid
9.0ms	143×	body	128	valid
4.0ms	33×	body	512	valid
1.0ms	17×	body	256	valid
1.0ms	4×	body	2048	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4819	15
1	4819	15

prune1.0ms

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: 27.9b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
5×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 63

Calls

3 calls:

6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series161.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
91.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify86.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4866	1370
1	4866	1370

prune76.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.3b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
11×	`log-pow_binary64`
10×	`exp-prod_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `log-prod_binary64` `difference-of-sqr-1_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 87

Calls

4 calls:

6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
13.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series417.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
12.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
270.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
87.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify79.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5061	1867

prune84.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 3)
0.0b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 3))
2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
26×	`cbrt-prod_binary64`
20×	`unpow-prod-down_binary64` `difference-of-squares_binary64` `cube-prod_binary64`
15×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `difference-of-sqr-1_binary64`
8×	`add-log-exp_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 106

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
13.0ms	(pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 3)
14.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 3))
13.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series364.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
169.0ms	(pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 3)
93.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 3))
90.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify86.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4944	2997
1	4944	2997

prune71.0ms

Filtered

54 candidates to 118 candidates (-118.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0.0b

Counts

122 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 2))
0.0b	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
25×	`cbrt-prod_binary64`
23×	`*-un-lft-identity_binary64`
16×	`difference-of-squares_binary64`
12×	`times-frac_binary64`
10×	`unpow-prod-down_binary64`
8×	`add-log-exp_binary64` `difference-of-sqr-1_binary64`
7×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64`
1×	`unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 79

Calls

4 calls:

13.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 2))
11.0ms	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
15.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series836.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) 2))
301.0ms	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
85.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
78.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify82.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5000	2484

prune112.0ms

Filtered

56 candidates to 91 candidates (-62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

regimes200.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	117
1	74	117

end0.0ms

sample887.0ms

Algorithm

intervals

Results

409.0ms	2016×	body	1024	valid
140.0ms	4319×	body	128	valid
121.0ms	976×	body	512	valid
46.0ms	192×	body	2048	valid
38.0ms	497×	body	256	valid

Details

analyze2.0ms

sample34.0ms

simplify76.0ms

prune1.0ms

localize6.0ms

rewrite27.0ms

series161.0ms

simplify86.0ms

prune76.0ms

localize11.0ms

rewrite43.0ms

series417.0ms

simplify79.0ms

prune84.0ms

localize11.0ms

rewrite53.0ms

series364.0ms

simplify86.0ms

prune71.0ms

localize11.0ms

rewrite61.0ms

series836.0ms

simplify82.0ms

prune112.0ms

regimes200.0ms

bsearch2.0ms

simplify3.0ms

end0.0ms

sample887.0ms

Profiling