Details

analyze62.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune5.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1.0 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5044	220

prune35.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
0.1b	(cbrt.f64 (-.f64 1.0 y))
0.1b	(cbrt.f64 (-.f64 1.0 y))
0.1b	(cbrt.f64 (-.f64 1.0 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_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 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
3.0ms	(cbrt.f64 (-.f64 1.0 y))
4.0ms	(cbrt.f64 (-.f64 1.0 y))
3.0ms	(cbrt.f64 (-.f64 1.0 y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
7.0ms	(cbrt.f64 (-.f64 1.0 y))
7.0ms	(cbrt.f64 (-.f64 1.0 y))
7.0ms	(cbrt.f64 (-.f64 1.0 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5024	1193

prune134.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 y))
2.7b	(.f64 x (.f64 y (-.f64 1.0 y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

12.0ms	(*.f64 y (-.f64 1.0 y))
9.0ms	(.f64 x (.f64 y (-.f64 1.0 y)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 y (-.f64 1.0 y))
15.0ms	(.f64 x (.f64 y (-.f64 1.0 y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4933	399
1	4933	399

prune41.0ms

Filtered

30 candidates to 54 candidates (-80.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (pow.f64 1.0 3) (pow.f64 y 3))

0.5b

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

5.6b

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`difference-of-squares_binary64`
26×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`sqr-pow_binary64`
10×	`distribute-lft-out--_binary64`
8×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64` `flip--_binary64`
2×	`difference-cubes_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 104

Calls

3 calls:

12.0ms

(-.f64 (pow.f64 1.0 3) (pow.f64 y 3))

20.0ms

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

24.0ms

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

series67.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms

(-.f64 (pow.f64 1.0 3) (pow.f64 y 3))

20.0ms

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

39.0ms

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5610	1642

prune147.0ms

Filtered

71 candidates to 113 candidates (-59.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

regimes129.0ms

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	18	7
1	18	7

end0.0ms

sample315.0ms

Algorithm

intervals

Results

187.0ms	8000×	body	80	valid
3.0ms	160×	body	80	invalid

Details

analyze62.0ms

sample12.0ms

simplify19.0ms

prune5.0ms

localize4.0ms

rewrite9.0ms

series9.0ms

simplify43.0ms

prune35.0ms

localize8.0ms

rewrite25.0ms

series29.0ms

simplify49.0ms

prune134.0ms

localize4.0ms

rewrite23.0ms

series20.0ms

simplify50.0ms

prune41.0ms

localize16.0ms

rewrite60.0ms

series67.0ms

simplify36.0ms

prune147.0ms

regimes129.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample315.0ms

Profiling