Details

analyze66.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	255	7
1	255	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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 32

Calls

2 calls:

7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
7.0ms	(*.f64 (+.f64 x 1) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
5.0ms	(*.f64 (+.f64 x 1) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4937	298
1	4937	298

prune36.0ms

Filtered

25 candidates to 38 candidates (-52.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0.0b

Counts

39 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
3.1b	(.f64 y (-.f64 (.f64 x x) 1))
9.4b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/r*_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64` `times-frac_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
8.0ms	(.f64 y (-.f64 (.f64 x x) 1))
12.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

series40.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
12.0ms	(.f64 y (-.f64 (.f64 x x) 1))
15.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5011	776

prune69.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
98×	`*-un-lft-identity_binary64`
75×	`add-sqr-sqrt_binary64`
63×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64` `add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64`
2×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 145

Calls

3 calls:

26.0ms	(-.f64 (/.f64 y (/.f64 1 (+.f64 x 1))) x)
6.0ms	(/.f64 1 (+.f64 x 1))
9.0ms	(/.f64 y (/.f64 1 (+.f64 x 1)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 (/.f64 y (/.f64 1 (+.f64 x 1))) x)
2.0ms	(/.f64 1 (+.f64 x 1))
5.0ms	(/.f64 y (/.f64 1 (+.f64 x 1)))

simplify56.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5056	1633

prune105.0ms

Filtered

88 candidates to 154 candidates (-75.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	154	4	158

Merged error: 0b

Counts

158 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 y (-.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 x 1))) x)
0.0b	(/.f64 1 (-.f64 x 1))
3.1b	(.f64 y (-.f64 (.f64 x x) 1))
9.4b	(.f64 (.f64 y (-.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 x 1)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
42×	`times-frac_binary64`
33×	`associate-r_binary64`
32×	`add-exp-log_binary64`
29×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
16×	`difference-of-squares_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
8×	`difference-of-sqr-1_binary64`
7×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `div-exp_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-l_binary64`
3×	`sub-neg_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

4 → 141

Calls

4 calls:

17.0ms	(-.f64 (.f64 (.f64 y (-.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 x 1))) x)
6.0ms	(/.f64 1 (-.f64 x 1))
8.0ms	(.f64 y (-.f64 (.f64 x x) 1))
16.0ms	(.f64 (.f64 y (-.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 x 1)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(-.f64 (.f64 (.f64 y (-.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 x 1))) x)
2.0ms	(/.f64 1 (-.f64 x 1))
11.0ms	(.f64 y (-.f64 (.f64 x x) 1))
15.0ms	(.f64 (.f64 y (-.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 x 1)))

simplify52.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4998	1372
1	4998	1372

prune103.0ms

Filtered

87 candidates to 153 candidates (-75.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	153	4	157

Merged error: 0b

Counts

157 → 4

regimes112.0ms

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	18	7
1	18	7

end0.0ms

sample291.0ms

Algorithm

intervals

Results

171.0ms	7999×	body	80	valid
2.0ms	77×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze66.0ms

sample12.0ms

simplify14.0ms

prune3.0ms

localize9.0ms

rewrite14.0ms

series9.0ms

simplify72.0ms

prune36.0ms

localize8.0ms

rewrite35.0ms

series40.0ms

simplify48.0ms

prune69.0ms

localize6.0ms

rewrite46.0ms

series12.0ms

simplify56.0ms

prune105.0ms

localize9.0ms

rewrite52.0ms

series40.0ms

simplify52.0ms

prune103.0ms

regimes112.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample291.0ms

Profiling