Details

analyze72.0ms

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

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	nan
0.0ms	2×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	225	8
1	225	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 1.0 x) (*.f64 y (sqrt.f64 x)))
0.2b	(*.f64 y (sqrt.f64 x))

rewrite12.0ms

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 1.0 x) (*.f64 y (sqrt.f64 x)))
5.0ms	(*.f64 y (sqrt.f64 x))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (-.f64 1.0 x) (*.f64 y (sqrt.f64 x)))
9.0ms	(*.f64 y (sqrt.f64 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4928	360
1	4928	360

prune52.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite25.0ms

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:

4.0ms	(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)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt.f64 (sqrt.f64 x))
12.0ms	(sqrt.f64 (sqrt.f64 x))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5047	630

prune85.0ms

Filtered

58 candidates to 100 candidates (-72.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod_binary64`
21×	`associate-r_binary64`
18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series115.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
35.0ms	(.f64 (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
17.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)

simplify50.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5438	957

prune80.0ms

Filtered

57 candidates to 88 candidates (-54.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.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))))

rewrite40.0ms

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))))
18.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt.f64 (sqrt.f64 x))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
25.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
15.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

simplify34.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5058	904

prune67.0ms

Filtered

65 candidates to 114 candidates (-75.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

regimes168.0ms

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

sample351.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
3.0ms	116×	body	80	nan
2.0ms	73×	body	80	invalid

Details

analyze72.0ms

sample26.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series16.0ms

simplify48.0ms

prune52.0ms

localize8.0ms

rewrite25.0ms

series46.0ms

simplify46.0ms

prune85.0ms

localize15.0ms

rewrite28.0ms

series115.0ms

simplify50.0ms

prune80.0ms

localize10.0ms

rewrite40.0ms

series66.0ms

simplify34.0ms

prune67.0ms

regimes168.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample351.0ms

Profiling