Details

analyze49.0ms

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

8.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid
0.0ms	2×	body	80	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	206	8
1	206	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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.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

prune23.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize7.0ms

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)))

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))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (sqrt.f64 x))
12.0ms	(sqrt.f64 (sqrt.f64 x))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5047	630

prune49.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

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

rewrite43.0ms

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))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
17.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
12.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (sqrt.f64 x))
11.0ms	(*.f64 y (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))))
21.0ms	(.f64 (.f64 y (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

prune50.0ms

Filtered

65 candidates to 114 candidates (-75.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite29.0ms

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:

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))))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
3.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series99.0ms

Counts

4 → 12

Calls

4 calls:

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))))
26.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify41.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4938	955
1	4938	955

prune37.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes100.0ms

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

sample383.0ms

Algorithm

intervals

Results

237.0ms	7999×	body	80	valid
4.0ms	134×	body	80	nan
2.0ms	69×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze49.0ms

sample15.0ms

simplify10.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series8.0ms

simplify49.0ms

prune23.0ms

localize7.0ms

rewrite24.0ms

series42.0ms

simplify45.0ms

prune49.0ms

localize10.0ms

rewrite43.0ms

series50.0ms

simplify35.0ms

prune50.0ms

localize13.0ms

rewrite29.0ms

series99.0ms

simplify41.0ms

prune37.0ms

regimes100.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample383.0ms

Profiling