Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4793	6
1	4793	6

prune5.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`exp-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`difference-of-squares_binary64`
3×	`add-cube-cbrt_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
1×	`flip3--_binary64` `exp-diff_binary64` `exp-sum_binary64` `flip--_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x x) 1)
6.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 1)
4.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))

simplify35.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4974	241
1	4974	241

prune37.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 (*.f64 x x)) E.f64)
0.0b	(exp.f64 (*.f64 x x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `associate-/l_binary64`
2×	`pow1_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `e-exp-1_binary64` `div-inv_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

2 → 38

Calls

2 calls:

4.0ms	(/.f64 (exp.f64 (*.f64 x x)) E.f64)
2.0ms	(exp.f64 (*.f64 x x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (exp.f64 (*.f64 x x)) E.f64)
2.0ms	(exp.f64 (*.f64 x x))

simplify48.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5273	363

prune37.0ms

Filtered

31 candidates to 44 candidates (-41.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 E.f64))
0.0b	(pow.f64 (exp.f64 x) x)
0.0b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 E.f64)) (sqrt.f64 E.f64))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

612×	`times-frac_binary64`
319×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
312×	`sqrt-prod_binary64`
150×	`unpow-prod-down_binary64`
53×	`associate-/l*_binary64`
50×	`sqr-pow_binary64`
16×	`add-exp-log_binary64`
12×	`associate-/r*_binary64`
10×	`add-cbrt-cube_binary64` `div-exp_binary64`
9×	`div-inv_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `pow-pow_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `pow-exp_binary64` `exp-prod_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 434

Calls

3 calls:

6.0ms	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 E.f64))
3.0ms	(pow.f64 (exp.f64 x) x)
16.0ms	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 E.f64)) (sqrt.f64 E.f64))

series23.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 E.f64))
4.0ms	(pow.f64 (exp.f64 x) x)
8.0ms	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 E.f64)) (sqrt.f64 E.f64))

simplify100.0ms

Algorithm

egg-herbie

Counts

443 → 443

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5033	7657

prune165.0ms

Filtered

169 candidates to 443 candidates (-162.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	442	1	443
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	443	3	446

Merged error: 0b

Counts

446 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) (/.f64 x 2))
0.0b	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(/.f64 E.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
39×	`times-frac_binary64`
33×	`unpow-prod-down_binary64`
18×	`sqrt-prod_binary64`
16×	`pow-unpow_binary64`
12×	`add-exp-log_binary64`
10×	`associate-/r*_binary64` `pow-pow_binary64`
9×	`exp-prod_binary64`
8×	`pow1_binary64` `sqrt-pow1_binary64`
6×	`sqr-pow_binary64` `add-cbrt-cube_binary64` `div-exp_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`associate-/l*_binary64` `e-exp-1_binary64`
2×	`pow1/2_binary64` `div-inv_binary64`
1×	`sqrt-pow2_binary64` `cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 132

Calls

4 calls:

5.0ms	(pow.f64 (exp.f64 x) (/.f64 x 2))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
2.0ms	(sqrt.f64 (exp.f64 x))
6.0ms	(/.f64 E.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow.f64 (exp.f64 x) (/.f64 x 2))
5.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
3.0ms	(sqrt.f64 (exp.f64 x))
12.0ms	(/.f64 E.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5290	1304

prune114.0ms

Filtered

99 candidates to 144 candidates (-45.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

end0.0ms

sample346.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample19.0ms

simplify74.0ms

prune5.0ms

localize5.0ms

rewrite11.0ms

series8.0ms

simplify35.0ms

prune37.0ms

localize4.0ms

rewrite7.0ms

series8.0ms

simplify48.0ms

prune37.0ms

localize7.0ms

rewrite57.0ms

series23.0ms

simplify100.0ms

prune165.0ms

localize11.0ms

rewrite21.0ms

series24.0ms

simplify57.0ms

prune114.0ms

regimes78.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample346.0ms

Profiling