Details

analyze43.0ms

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

sample19.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid
0.0ms	1×	body	80	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	206	8
1	206	8

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
0.3b	(*.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))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
8.0ms	(*.f64 y (sqrt.f64 x))

simplify51.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5129	360

prune52.0ms

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)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite23.0ms

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)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (sqrt.f64 x))
10.0ms	(sqrt.f64 (sqrt.f64 x))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5047	630

prune79.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize14.0ms

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))
0.4b	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

rewrite27.0ms

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))
9.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x))))
10.0ms	(sqrt.f64 (sqrt.f64 x))
11.0ms	(*.f64 y (pow.f64 x 1/4))
14.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4905	884
1	4905	884

prune83.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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 (sqrt.f64 x))))
0.4b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod_binary64`
33×	`associate-r_binary64`
26×	`add-sqr-sqrt_binary64`
22×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `rem-sqrt-square_binary64`

Counts

4 → 102

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 x))
6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
19.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (sqrt.f64 x))
10.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
19.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
8.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

simplify35.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5058	904

prune70.0ms

Filtered

66 candidates to 114 candidates (-72.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	114	5	119

Merged error: 0b

Counts

119 → 5

regimes122.0ms

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	19	8
1	19	8

end0.0ms

sample365.0ms

Algorithm

intervals

Results

234.0ms	7998×	body	80	valid
3.0ms	127×	body	80	nan
2.0ms	74×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze43.0ms

sample19.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series15.0ms

simplify51.0ms

prune52.0ms

localize8.0ms

rewrite23.0ms

series40.0ms

simplify44.0ms

prune79.0ms

localize14.0ms

rewrite27.0ms

series47.0ms

simplify58.0ms

prune83.0ms

localize11.0ms

rewrite42.0ms

series47.0ms

simplify35.0ms

prune70.0ms

regimes122.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample365.0ms

Profiling