Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	634	7
1	634	7

prune3.0ms

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: 8.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1.0 x1))
7.5b	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

5.0ms	(/.f64 x0 (-.f64 1.0 x1))
12.0ms	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 x0 (-.f64 1.0 x1))
8.0ms	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

simplify54.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5110	586

prune54.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 6.7b

Counts

58 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
1.0b	(/.f64 x0 (-.f64 1.0 x1))
6.0b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
16×	`times-frac_binary64`
11×	`pow1_binary64` `distribute-lft-out--_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
7×	`swap-sqr_binary64`
5×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
4×	`frac-times_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`associate-r/_binary64` `associate-/r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-prod-up_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

10.0ms	(*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))
9.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
5.0ms	(/.f64 x0 (-.f64 1.0 x1))
15.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

series36.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))
7.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
9.0ms	(/.f64 x0 (-.f64 1.0 x1))
16.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4961	1202
1	4961	1202

prune114.0ms

Filtered

82 candidates to 118 candidates (-43.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	118	2	120

Merged error: 5.3b

Counts

120 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (+.f64 1.0 (.f64 x1 (-.f64 x1 2.0)))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
1.0b	(/.f64 x0 (-.f64 1.0 x1))
6.0b	(-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
8×	`add-log-exp_binary64`
6×	`difference-of-squares_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 90

Calls

4 calls:

21.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (+.f64 1.0 (.f64 x1 (-.f64 x1 2.0)))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
9.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
7.0ms	(/.f64 x0 (-.f64 1.0 x1))
10.0ms	(-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)

series74.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (+.f64 1.0 (.f64 x1 (-.f64 x1 2.0)))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
10.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
7.0ms	(/.f64 x0 (-.f64 1.0 x1))
23.0ms	(-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)

simplify50.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6046	1513

prune106.0ms

Filtered

78 candidates to 102 candidates (-30.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 4.3b

Counts

104 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
1.0b	(/.f64 x0 (-.f64 1.0 x1))
4.9b	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)))
6.0b	(-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
17×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64`
7×	`log-pow_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`log-prod_binary64`
3×	`associate-/l*_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_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 → 83

Calls

4 calls:

9.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
6.0ms	(/.f64 x0 (-.f64 1.0 x1))
10.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)))
9.0ms	(-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)

series61.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
7.0ms	(/.f64 x0 (-.f64 1.0 x1))
24.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)))
22.0ms	(-.f64 (/.f64 x0 (+.f64 1.0 (*.f64 x1 (-.f64 x1 2.0)))) x0)

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4991	1142
1	4991	1142

prune101.0ms

Filtered

74 candidates to 95 candidates (-28.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 3.3b

Counts

97 → 2

regimes56.0ms

Accuracy

100% (0.0b remaining)

Error of 3.3b against oracle of 3.3b and baseline of 4.4b

bsearch9.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	70
1	64	70

end0.0ms

sample451.0ms

Algorithm

intervals

Results

206.0ms	8000×	pre	80	true
163.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample16.0ms

simplify49.0ms

prune3.0ms

localize5.0ms

rewrite19.0ms

series15.0ms

simplify54.0ms

prune54.0ms

localize10.0ms

rewrite43.0ms

series36.0ms

simplify49.0ms

prune114.0ms

localize14.0ms

rewrite49.0ms

series74.0ms

simplify50.0ms

prune106.0ms

localize16.0ms

rewrite36.0ms

series61.0ms

simplify51.0ms

prune101.0ms

regimes56.0ms

bsearch9.0ms

simplify2.0ms

end0.0ms

sample451.0ms

Profiling