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

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5288	6

prune4.0ms

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)
0.0b	(exp.f64 (-.f64 (*.f64 x x) 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 1.0)
5.0ms	(exp.f64 (-.f64 (*.f64 x x) 1.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(-.f64 (*.f64 x x) 1.0)
4.0ms	(exp.f64 (-.f64 (*.f64 x x) 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4882	233
1	4882	233

prune26.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0.0b

Counts

34 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
0.0b	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`exp-prod_binary64`
6×	`pow-unpow_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow-pow_binary64`
4×	`unpow-prod-down_binary64`
3×	`pow1_binary64`
2×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64` `exp-sum_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `pow-sub_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

2 → 41

Calls

2 calls:

5.0ms	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
9.0ms	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
11.0ms	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4972	469
1	4972	469

prune40.0ms

Filtered

31 candidates to 47 candidates (-51.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	47	2	49

Merged error: 0.0b

Counts

49 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
0.0b	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))
1.0b	(pow.f64 (pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0))) 3)
1.5b	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0))) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`unpow-prod-down_binary64`
24×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `cube-prod_binary64`
9×	`pow-unpow_binary64`
8×	`exp-prod_binary64`
7×	`add-log-exp_binary64` `sqr-pow_binary64`
6×	`pow-pow_binary64` `exp-sum_binary64`
5×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `unpow-prod-up_binary64` `add-cbrt-cube_binary64` `pow-exp_binary64`
3×	`pow-to-exp_binary64` `pow-sub_binary64`
2×	`distribute-lft-out_binary64` `cube-div_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64` `sum-log_binary64`

Counts

4 → 113

Calls

4 calls:

5.0ms	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
9.0ms	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))
8.0ms	(pow.f64 (pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0))) 3)
8.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0))) 3))

series53.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
11.0ms	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))
25.0ms	(pow.f64 (pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0))) 3)
11.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0))) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5110	1738

prune93.0ms

Filtered

69 candidates to 125 candidates (-81.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Merged error: 0.0b

Counts

127 → 2

regimes43.0ms

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	15	6
1	15	6

end0.0ms

sample325.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze4.0ms

sample12.0ms

simplify65.0ms

prune4.0ms

localize5.0ms

rewrite10.0ms

series19.0ms

simplify69.0ms

prune26.0ms

localize7.0ms

rewrite16.0ms

series16.0ms

simplify43.0ms

prune40.0ms

localize12.0ms

rewrite34.0ms

series53.0ms

simplify56.0ms

prune93.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample325.0ms

Profiling