Details

analyze260.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	51	10
1	51	10

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
0.0b	(*.f64 y (+.f64 z x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
6.0ms	(*.f64 y (+.f64 z x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
53.0ms	(*.f64 y (+.f64 z x))

simplify66.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4986	467
1	4986	467

prune26.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0b	(+.f64 (.f64 y z) (.f64 y x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+r+_binary64`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
4.0ms	(+.f64 (.f64 y z) (.f64 y x))

series106.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
53.0ms	(+.f64 (.f64 y z) (.f64 y x))

simplify68.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4992	410
1	4992	410

prune15.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
190.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
205.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
186.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5524	1183

prune54.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 z x) (sqrt.f64 y))))
0.1b	(*.f64 (+.f64 z x) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (+.f64 z x) (sqrt.f64 y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 59

Calls

3 calls:

4.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 z x) (sqrt.f64 y))))
8.0ms	(*.f64 (+.f64 z x) (sqrt.f64 y))
9.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 z x) (sqrt.f64 y)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 z x) (sqrt.f64 y))))
82.0ms	(*.f64 (+.f64 z x) (sqrt.f64 y))
73.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 z x) (sqrt.f64 y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5022	862

prune33.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0b

Counts

72 → 4

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample392.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	128	valid
13.0ms	577×	body	128	invalid

Details

analyze260.0ms

sample17.0ms

simplify11.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series103.0ms

simplify66.0ms

prune26.0ms

localize6.0ms

rewrite12.0ms

series106.0ms

simplify68.0ms

prune15.0ms

localize9.0ms

rewrite29.0ms

series850.0ms

simplify52.0ms

prune54.0ms

localize7.0ms

rewrite26.0ms

series248.0ms

simplify60.0ms

prune33.0ms

regimes44.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample392.0ms

Profiling