Details

analyze668.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

sample56.0ms

Algorithm

intervals

Results

28.0ms	77×	body	1280	valid
10.0ms	41×	body	640	valid
5.0ms	99×	body	80	valid
4.0ms	25×	body	320	valid
1.0ms	14×	body	160	valid

simplify507.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4850	5
1	4850	5

prune7.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4978	232
1	4978	232

prune29.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x))))
0.0b	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
0.0b	(exp.f64 (exp.f64 x))
0.6b	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `sqrt-prod_binary64`
4×	`log-pow_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `rem-log-exp_binary64` `associate-l_binary64` `exp-prod_binary64`
2×	`e-exp-1_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x))))
4.0ms	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
2.0ms	(exp.f64 (exp.f64 x))
6.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x))))
19.0ms	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
4.0ms	(exp.f64 (exp.f64 x))
6.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4888	389
1	4888	389

prune26.0ms

Filtered

46 candidates to 70 candidates (-52.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 x))
0.0b	(cbrt.f64 (exp.f64 x))
0.0b	(cbrt.f64 (exp.f64 x))
0.6b	(.f64 E.f64 (pow.f64 (exp.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-exp-log_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
6×	`add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `unpow-prod-down_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64` `e-exp-1_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 x))
2.0ms	(cbrt.f64 (exp.f64 x))
2.0ms	(cbrt.f64 (exp.f64 x))
6.0ms	(.f64 E.f64 (pow.f64 (exp.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt.f64 (exp.f64 x))
12.0ms	(cbrt.f64 (exp.f64 x))
12.0ms	(cbrt.f64 (exp.f64 x))
57.0ms	(.f64 E.f64 (pow.f64 (exp.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5016	558

prune35.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Merged error: 0b

Counts

75 → 2

regimes17.0ms

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	7	5
1	7	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

799.0ms	2285×	body	1280	valid
362.0ms	1599×	body	640	valid
129.0ms	2866×	body	80	valid
126.0ms	834×	body	320	valid
40.0ms	416×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze668.0ms

sample56.0ms

simplify507.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series15.0ms

simplify43.0ms

prune29.0ms

localize7.0ms

rewrite18.0ms

series45.0ms

simplify71.0ms

prune26.0ms

localize11.0ms

rewrite14.0ms

series92.0ms

simplify48.0ms

prune35.0ms

regimes17.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling