Details

analyze50.0ms

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

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	4×	body	80	nan
0.0ms	1×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	225	8
1	225	8

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5051	174

prune39.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 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)))

rewrite26.0ms

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (sqrt.f64 x))
13.0ms	(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)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5047	630

prune73.0ms

Filtered

58 candidates to 100 candidates (-72.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
0.4b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (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

18×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
12×	`*-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 → 73

Calls

4 calls:

8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series106.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
42.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
20.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4938	955
1	4938	955

prune75.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

5.0ms	(*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
6.0ms	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series82.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
32.0ms	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
20.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

simplify34.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5486	531

prune53.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	77	7	84

Merged error: 0b

Counts

84 → 7

regimes137.0ms

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

sample391.0ms

Algorithm

intervals

Results

240.0ms	7998×	body	80	valid
5.0ms	70×	body	80	invalid
4.0ms	147×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze50.0ms

sample15.0ms

simplify11.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series9.0ms

simplify49.0ms

prune39.0ms

localize8.0ms

rewrite26.0ms

series47.0ms

simplify50.0ms

prune73.0ms

localize14.0ms

rewrite28.0ms

series106.0ms

simplify47.0ms

prune75.0ms

localize9.0ms

rewrite15.0ms

series82.0ms

simplify34.0ms

prune53.0ms

regimes137.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample391.0ms

Profiling