Details

analyze353.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 x z))
4.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 x z))
8.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4944	327
1	4944	327

prune23.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

7.0ms	(*.f64 z (-.f64 1 y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 z (-.f64 1 y))
8.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4946	332
1	4946	332

prune22.0ms

Filtered

29 candidates to 44 candidates (-51.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (*.f64 y (-.f64 x z)))
0.0b	(sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z))))
0.0b	(sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z))))
0.3b	(.f64 (sqrt.f64 (+.f64 z (.f64 y (-.f64 x z)))) (sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `associate-+r+_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

4.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
3.0ms	(sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z))))
3.0ms	(sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z))))
10.0ms	(.f64 (sqrt.f64 (+.f64 z (.f64 y (-.f64 x z)))) (sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z)))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
35.0ms	(sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z))))
33.0ms	(sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z))))
8.0ms	(.f64 (sqrt.f64 (+.f64 z (.f64 y (-.f64 x z)))) (sqrt.f64 (+.f64 z (*.f64 y (-.f64 x z)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5055	1294

prune36.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z)))))
0.2b	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
2.7b	(sqrt.f64 (*.f64 y (-.f64 x z)))
2.7b	(sqrt.f64 (*.f64 y (-.f64 x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
22×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `pow-sqr_binary64` `sqrt-prod_binary64`
4×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`associate-*l/_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

3.0ms	(+.f64 z (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z)))))
14.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
5.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
5.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 z (.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z)))))
37.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
17.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
17.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4983	839
1	4983	839

prune34.0ms

Filtered

63 candidates to 106 candidates (-68.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	106	4	110

Merged error: 0b

Counts

110 → 4

regimes125.0ms

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	18	7
1	18	7

end0.0ms

sample413.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
19.0ms	707×	body	80	invalid

Details

analyze353.0ms

sample15.0ms

simplify16.0ms

prune6.0ms

localize5.0ms

rewrite12.0ms

series16.0ms

simplify71.0ms

prune23.0ms

localize6.0ms

rewrite13.0ms

series14.0ms

simplify49.0ms

prune22.0ms

localize7.0ms

rewrite23.0ms

series84.0ms

simplify51.0ms

prune36.0ms

localize7.0ms

rewrite30.0ms

series83.0ms

simplify52.0ms

prune34.0ms

regimes125.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample413.0ms

Profiling