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
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

5.0ms	58×	body	640	valid
4.0ms	142×	body	80	valid
2.0ms	34×	body	320	valid
1.0ms	22×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	9
1	72	9

prune4.0ms

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: 13.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite26.0ms

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:

6.0ms	(/.f64 1 (+.f64 x 1))
17.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series5.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (+.f64 x 1))
3.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify90.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4839	787
1	4839	787

prune62.0ms

Filtered

45 candidates to 74 candidates (-64.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0.1b

Counts

75 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.1b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite14.0ms

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)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (+.f64 1 x))
3.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	376
1	4967	376

prune54.0ms

Filtered

38 candidates to 52 candidates (-36.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Merged error: 0b

Counts

55 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

9.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4915	1214
1	4915	1214

prune77.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (/.f64 -1 (.f64 x (+.f64 x 1)))) (cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1)))))
14.4b	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))
14.4b	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))
14.4b	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

67×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`times-frac_binary64`
15×	`associate-*r/_binary64`
14×	`associate-/r/_binary64`
12×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
7×	`cbrt-div_binary64` `flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (/.f64 -1 (.f64 x (+.f64 x 1)))) (cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1)))))
6.0ms	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))
6.0ms	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))
6.0ms	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (/.f64 -1 (.f64 x (+.f64 x 1)))) (cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1)))))
12.0ms	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))
11.0ms	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))
13.0ms	(cbrt.f64 (/.f64 -1 (*.f64 x (+.f64 x 1))))

simplify38.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4983	1846
1	4983	1846

prune190.0ms

Filtered

110 candidates to 127 candidates (-15.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	127	5	132

Merged error: 0b

Counts

132 → 5

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample506.0ms

Algorithm

intervals

Results

179.0ms	1899×	body	640	valid
108.0ms	4270×	body	80	valid
89.0ms	1212×	body	320	valid
30.0ms	619×	body	160	valid

Details

analyze4.0ms

sample18.0ms

simplify7.0ms

prune4.0ms

localize5.0ms

rewrite26.0ms

series5.0ms

simplify90.0ms

prune62.0ms

localize4.0ms

rewrite14.0ms

series8.0ms

simplify54.0ms

prune54.0ms

localize4.0ms

rewrite14.0ms

series3.0ms

simplify66.0ms

prune77.0ms

localize9.0ms

rewrite34.0ms

series51.0ms

simplify38.0ms

prune190.0ms

regimes33.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample506.0ms

Profiling