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

sample19.0ms

Algorithm

intervals

Results

7.0ms	74×	body	640	valid
3.0ms	121×	body	80	valid
3.0ms	43×	body	320	valid
1.0ms	18×	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: 12.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
1.8b	(-.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))
18.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series6.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (+.f64 x 1))
4.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify89.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4839	787
1	4839	787

prune57.0ms

Filtered

45 candidates to 74 candidates (-64.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0.2b

Counts

75 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.2b	(/.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))
7.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.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 (49.0ms)

Iter	Nodes	Cost
0	4967	376
1	4967	376

prune53.0ms

Filtered

38 candidates to 52 candidates (-36.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4915	1214
1	4915	1214

prune83.0ms

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	1	1	2
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
0.6b	(cbrt.f64 (/.f64 -1 x))
0.6b	(cbrt.f64 (/.f64 -1 x))
0.6b	(cbrt.f64 (/.f64 -1 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 144

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
2.0ms	(cbrt.f64 (/.f64 -1 x))
2.0ms	(cbrt.f64 (/.f64 -1 x))
2.0ms	(cbrt.f64 (/.f64 -1 x))

series91.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
23.0ms	(cbrt.f64 (/.f64 -1 x))
20.0ms	(cbrt.f64 (/.f64 -1 x))
22.0ms	(cbrt.f64 (/.f64 -1 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5032	1508

prune235.0ms

Filtered

120 candidates to 156 candidates (-30.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	156	6	162

Merged error: 0b

Counts

162 → 6

regimes34.0ms

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

sample494.0ms

Algorithm

intervals

Results

181.0ms	1917×	body	640	valid
103.0ms	4186×	body	80	valid
89.0ms	1261×	body	320	valid
32.0ms	636×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample19.0ms

simplify7.0ms

prune4.0ms

localize5.0ms

rewrite26.0ms

series6.0ms

simplify89.0ms

prune57.0ms

localize4.0ms

rewrite14.0ms

series9.0ms

simplify54.0ms

prune53.0ms

localize4.0ms

rewrite13.0ms

series3.0ms

simplify67.0ms

prune83.0ms

localize12.0ms

rewrite28.0ms

series91.0ms

simplify43.0ms

prune235.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample494.0ms

Profiling