Details

analyze47.0ms

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

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	128	nan

simplify14.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
0.2b	(*.f64 y (sqrt.f64 x))

rewrite15.0ms

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))

series107.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
59.0ms	(*.f64 y (sqrt.f64 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5219	567

prune33.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

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)))

rewrite32.0ms

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:

3.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(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 x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt.f64 (sqrt.f64 x))
106.0ms	(sqrt.f64 (sqrt.f64 x))
74.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
61.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5301	1038

prune62.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	102	6	108

Merged error: 0.0b

Counts

108 → 6

localize13.0ms

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))
0.2b	(*.f64 y (pow.f64 x 1/4))
0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

rewrite33.0ms

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:

10.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x))))
2.0ms	(sqrt.f64 (sqrt.f64 x))
6.0ms	(*.f64 y (pow.f64 x 1/4))
9.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x))))
100.0ms	(sqrt.f64 (sqrt.f64 x))
90.0ms	(*.f64 y (pow.f64 x 1/4))
112.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4979	1391
1	4979	1391

prune72.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (pow.f64 x 1/4))
0.3b	(.f64 (.f64 (*.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod_binary64`
35×	`add-exp-log_binary64`
31×	`associate-r_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`prod-exp_binary64`
20×	`add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`pow1_binary64`
10×	`cbrt-unprod_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `sqrt-pow1_binary64` `unpow-prod-down_binary64`
3×	`pow-to-exp_binary64` `unswap-sqr_binary64` `pow-exp_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64`

Counts

4 → 103

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 x))
6.0ms	(*.f64 y (pow.f64 x 1/4))
21.0ms	(.f64 (.f64 (*.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
11.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sqrt.f64 (sqrt.f64 x))
84.0ms	(*.f64 y (pow.f64 x 1/4))
111.0ms	(.f64 (.f64 (*.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
143.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5305	1729

prune75.0ms

Filtered

65 candidates to 115 candidates (-76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

regimes49.0ms

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

sample371.0ms

Algorithm

intervals

Results

227.0ms	7998×	body	128	valid
3.0ms	131×	body	128	nan
2.0ms	71×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Details

analyze47.0ms

sample13.0ms

simplify14.0ms

prune1.0ms

localize6.0ms

rewrite15.0ms

series107.0ms

simplify60.0ms

prune33.0ms

localize8.0ms

rewrite32.0ms

series344.0ms

simplify58.0ms

prune62.0ms

localize13.0ms

rewrite33.0ms

series386.0ms

simplify70.0ms

prune72.0ms

localize15.0ms

rewrite51.0ms

series432.0ms

simplify59.0ms

prune75.0ms

regimes49.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample371.0ms

Profiling