Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	71×	body	640	valid
4.0ms	141×	body	80	valid
2.0ms	34×	body	320	valid
0.0ms	10×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	74	13
1	74	13

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 17.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
1.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-exp-log_binary64`
5×	`div-inv_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 68

Calls

2 calls:

5.0ms	(/.f64 1 (+.f64 x 1))
17.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 1 (+.f64 x 1))
14.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify112.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4846	1178
1	4846	1178

prune47.0ms

Filtered

45 candidates to 74 candidates (-64.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0.6b

Counts

75 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.7b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 1 x))
6.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(*.f64 x (+.f64 1 x))
10.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5885	553

prune37.0ms

Filtered

38 candidates to 52 candidates (-36.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`distribute-lft-out_binary64`
13×	`associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

1 → 86

Calls

1 calls:

8.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify101.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4916	1866
1	4916	1866

prune72.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Merged error: 0b

Counts

92 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
11.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (+.f64 x 1))
23.0ms	(cbrt.f64 (+.f64 x 1))
24.0ms	(cbrt.f64 (+.f64 x 1))
32.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

simplify94.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4905	1530
1	4905	1530

prune113.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes12.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample513.0ms

Algorithm

intervals

Results

198.0ms	1994×	body	640	valid
105.0ms	4188×	body	80	valid
86.0ms	1219×	body	320	valid
29.0ms	599×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze5.0ms

sample18.0ms

simplify15.0ms

prune7.0ms

localize6.0ms

rewrite25.0ms

series23.0ms

simplify112.0ms

prune47.0ms

localize5.0ms

rewrite13.0ms

series39.0ms

simplify70.0ms

prune37.0ms

localize4.0ms

rewrite12.0ms

series11.0ms

simplify101.0ms

prune72.0ms

localize10.0ms

rewrite23.0ms

series102.0ms

simplify94.0ms

prune113.0ms

regimes12.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample513.0ms

Profiling