Details

analyze57.0ms

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

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	267	7
1	267	7

prune2.0ms

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 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-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` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5133	213

prune30.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 y y))
5.2b	(.f64 x (-.f64 y (.f64 y y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

3.0ms	(-.f64 y (*.f64 y y))
6.0ms	(.f64 x (-.f64 y (.f64 y y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 y (*.f64 y y))
10.0ms	(.f64 x (-.f64 y (.f64 y y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4922	337
1	4922	337

prune34.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 y))
0.0b	(sqrt.f64 (-.f64 1 y))
0.1b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
0.1b	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
22×	`*-un-lft-identity_binary64`
20×	`pow1_binary64`
18×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
10×	`associate-*r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
8×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 1 y))
4.0ms	(sqrt.f64 (-.f64 1 y))
15.0ms	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
9.0ms	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 1 y))
4.0ms	(sqrt.f64 (-.f64 1 y))
8.0ms	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
11.0ms	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4946	1079
1	4946	1079

prune87.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (pow.f64 y 3/2))
0.1b	(.f64 (.f64 x (+.f64 y (pow.f64 y 3/2))) (-.f64 1 (sqrt.f64 y)))
1.5b	(*.f64 x (+.f64 y (pow.f64 y 3/2)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `frac-times_binary64`
3×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(+.f64 y (pow.f64 y 3/2))
14.0ms	(.f64 (.f64 x (+.f64 y (pow.f64 y 3/2))) (-.f64 1 (sqrt.f64 y)))
7.0ms	(*.f64 x (+.f64 y (pow.f64 y 3/2)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 y (pow.f64 y 3/2))
23.0ms	(.f64 (.f64 x (+.f64 y (pow.f64 y 3/2))) (-.f64 1 (sqrt.f64 y)))
18.0ms	(*.f64 x (+.f64 y (pow.f64 y 3/2)))

simplify70.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4960	914
1	4960	914

prune64.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

regimes161.0ms

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

sample305.0ms

Algorithm

intervals

Results

174.0ms	8000×	body	80	valid
4.0ms	193×	body	80	invalid

Details

analyze57.0ms

sample16.0ms

simplify15.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series7.0ms

simplify46.0ms

prune30.0ms

localize4.0ms

rewrite10.0ms

series15.0ms

simplify51.0ms

prune34.0ms

localize7.0ms

rewrite35.0ms

series26.0ms

simplify70.0ms

prune87.0ms

localize11.0ms

rewrite30.0ms

series57.0ms

simplify70.0ms

prune64.0ms

regimes161.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample305.0ms

Profiling