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

sample17.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid
0.0ms	3×	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 2 expressions with local error:

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

rewrite13.0ms

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))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
8.0ms	(*.f64 y (sqrt.f64 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5129	360

prune34.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 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))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite23.0ms

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))
6.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5047	630

prune48.0ms

Filtered

60 candidates to 100 candidates (-66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

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))))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite27.0ms

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)

series94.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
40.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
14.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4938	955
1	4938	955

prune47.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

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)))))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite16.0ms

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))))
7.0ms	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
1.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series69.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
29.0ms	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
14.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)

simplify32.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5486	531

prune29.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	76	9	85

Merged error: 0b

Counts

85 → 9

regimes114.0ms

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

sample361.0ms

Algorithm

intervals

Results

227.0ms	7996×	body	80	valid
4.0ms	142×	body	80	nan
2.0ms	58×	body	80	invalid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze44.0ms

sample17.0ms

simplify10.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series15.0ms

simplify47.0ms

prune34.0ms

localize8.0ms

rewrite23.0ms

series40.0ms

simplify44.0ms

prune48.0ms

localize14.0ms

rewrite27.0ms

series94.0ms

simplify45.0ms

prune47.0ms

localize9.0ms

rewrite16.0ms

series69.0ms

simplify32.0ms

prune29.0ms

regimes114.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample361.0ms

Profiling