Details

analyze44.0ms

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

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	4×	body	128	nan
0.0ms	2×	body	128	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	207	12
1	207	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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))

series56.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4982	280
1	4982	280

prune23.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0.0b

Counts

26 → 4

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)))

rewrite28.0ms

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)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sqrt.f64 (sqrt.f64 x))
112.0ms	(sqrt.f64 (sqrt.f64 x))
80.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
59.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5301	1038

prune60.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Merged error: 0b

Counts

104 → 6

localize13.0ms

Local error

Found 3 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))) (pow.f64 x 1/4))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
16×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `sqr-pow_binary64`

Counts

3 → 69

Calls

3 calls:

2.0ms	(sqrt.f64 (sqrt.f64 x))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

series285.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sqrt.f64 (sqrt.f64 x))
79.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
109.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

simplify61.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4926	1024
1	4926	1024

prune51.0ms

Filtered

47 candidates to 78 candidates (-66.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0b

Counts

84 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

3.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
13.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (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))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
79.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
127.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
60.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5099	1578

prune71.0ms

Filtered

68 candidates to 120 candidates (-76.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

regimes42.0ms

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	20	12
1	20	12

end0.0ms

sample392.0ms

Algorithm

intervals

Results

237.0ms	7998×	body	128	valid
4.0ms	149×	body	128	nan
2.0ms	66×	body	128	invalid
0.0ms	2×	body	512	valid

Details

analyze44.0ms

sample20.0ms

simplify15.0ms

prune1.0ms

localize5.0ms

rewrite7.0ms

series56.0ms

simplify59.0ms

prune23.0ms

localize8.0ms

rewrite28.0ms

series353.0ms

simplify60.0ms

prune60.0ms

localize13.0ms

rewrite24.0ms

series285.0ms

simplify61.0ms

prune51.0ms

localize12.0ms

rewrite51.0ms

series366.0ms

simplify53.0ms

prune71.0ms

regimes42.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample392.0ms

Profiling