Details

analyze485.0ms

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

sample63.0ms

Algorithm

intervals

Results

29.0ms	77×	body	1280	valid
12.0ms	53×	body	640	valid
7.0ms	89×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	13×	body	160	valid

simplify477.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4850	5
1	4850	5

prune9.0ms

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))

rewrite21.0ms

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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(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 (38.0ms)

Iter	Nodes	Cost
0	4978	232
1	4978	232

prune30.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	2	35

Merged error: 0b

Counts

35 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.8b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

17.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
4.0ms	(pow.f64 (exp.f64 x) 2)
8.0ms	(pow.f64 (exp.f64 x) 3)
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series44.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
3.0ms	(pow.f64 (exp.f64 x) 2)
6.0ms	(pow.f64 (exp.f64 x) 3)
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify55.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5130	1489

prune100.0ms

Filtered

74 candidates to 121 candidates (-63.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	121	2	123

Merged error: 0b

Counts

123 → 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)))

rewrite20.0ms

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))
8.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x))))
23.0ms	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
5.0ms	(exp.f64 (exp.f64 x))
7.0ms	(*.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

prune47.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

72 → 2

regimes28.0ms

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	24	17
1	24	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

812.0ms	2254×	body	1280	valid
389.0ms	1691×	body	640	valid
123.0ms	2820×	body	80	valid
122.0ms	804×	body	320	valid
42.0ms	431×	body	160	valid
0.0ms	4×	body	80	invalid

Details

analyze485.0ms

sample63.0ms

simplify477.0ms

prune9.0ms

localize6.0ms

rewrite21.0ms

series17.0ms

simplify43.0ms

prune30.0ms

localize10.0ms

rewrite39.0ms

series44.0ms

simplify55.0ms

prune100.0ms

localize7.0ms

rewrite20.0ms

series52.0ms

simplify71.0ms

prune47.0ms

regimes28.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling