Details

analyze74.0ms

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%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid
0.0ms	3×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	208	12
1	208	12

prune1.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
0.2b	(*.f64 y (sqrt.f64 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
3×	`associate-l_binary64`
2×	`unswap-sqr_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
5.0ms	(*.f64 y (sqrt.f64 x))

series54.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
32.0ms	(*.f64 y (sqrt.f64 x))

simplify79.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5217	567

prune31.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(sqrt.f64 (sqrt.f64 x))
6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
12.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt.f64 (sqrt.f64 x))
55.0ms	(sqrt.f64 (sqrt.f64 x))
42.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
32.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify90.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4908	1038
1	4908	1038

prune55.0ms

Filtered

58 candidates to 100 candidates (-72.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x))))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (pow.f64 x 1/4))
0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
16×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`
9×	`add-log-exp_binary64`
8×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `unpow-prod-down_binary64`
3×	`unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 83

Calls

4 calls:

9.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x))))
2.0ms	(sqrt.f64 (sqrt.f64 x))
5.0ms	(*.f64 y (pow.f64 x 1/4))
8.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x))))
53.0ms	(sqrt.f64 (sqrt.f64 x))
47.0ms	(*.f64 y (pow.f64 x 1/4))
57.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4969	1391
1	4969	1391

prune69.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	93	7	100

Merged error: 0b

Counts

100 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4)))
0.3b	(*.f64 y (pow.f64 x 1/4))
0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log_binary64`
24×	`prod-exp_binary64`
14×	`associate-r_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-to-exp_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `pow-exp_binary64`
7×	`unpow-prod-down_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64`
3×	`pow1_binary64` `sqr-pow_binary64` `unswap-sqr_binary64`
2×	`sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

3 → 69

Calls

3 calls:

9.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4)))
5.0ms	(*.f64 y (pow.f64 x 1/4))
7.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))

series107.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4)))
49.0ms	(*.f64 y (pow.f64 x 1/4))
36.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))

simplify82.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5047	933

prune44.0ms

Filtered

49 candidates to 78 candidates (-59.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0b

Counts

85 → 7

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	12
1	21	12

end0.0ms

sample367.0ms

Algorithm

intervals

Results

228.0ms	7997×	body	80	valid
4.0ms	149×	body	80	nan
2.0ms	65×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze74.0ms

sample13.0ms

simplify19.0ms

prune1.0ms

localize6.0ms

rewrite13.0ms

series54.0ms

simplify79.0ms

prune31.0ms

localize8.0ms

rewrite24.0ms

series184.0ms

simplify90.0ms

prune55.0ms

localize13.0ms

rewrite26.0ms

series198.0ms

simplify88.0ms

prune69.0ms

localize11.0ms

rewrite24.0ms

series107.0ms

simplify82.0ms

prune44.0ms

regimes45.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample367.0ms

Profiling