Details

analyze266.0ms

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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	21×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune4.0ms

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))

rewrite11.0ms

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:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify80.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune29.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

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))

rewrite11.0ms

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))

series15.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5072	279

prune18.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 z x))
3.0ms	(sqrt.f64 (+.f64 z x))
7.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))
12.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 z x))
8.0ms	(sqrt.f64 (+.f64 z x))
15.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))
16.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4989	901
1	4989	901

prune43.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div_binary64`
39×	`sqrt-prod_binary64`
36×	`associate-*r/_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-times_binary64`
27×	`associate-r_binary64`
23×	`*-un-lft-identity_binary64`
22×	`pow1_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-*l/_binary64`
15×	`add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64`
3×	`*-commutative_binary64`
2×	`pow1/2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64`

Counts

4 → 134

Calls

4 calls:

4.0ms	(sqrt.f64 (sqrt.f64 (+.f64 z x)))
7.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))
14.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (sqrt.f64 (+.f64 z x))))
21.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (sqrt.f64 (+.f64 z x)))) (sqrt.f64 (sqrt.f64 (+.f64 z x))))

series98.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt.f64 (sqrt.f64 (+.f64 z x)))
15.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))
46.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (sqrt.f64 (+.f64 z x))))
16.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (sqrt.f64 (+.f64 z x)))) (sqrt.f64 (sqrt.f64 (+.f64 z x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4942	1974
1	4942	1974

prune59.0ms

Filtered

95 candidates to 146 candidates (-53.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	146	5	151

Merged error: 0.0b

Counts

151 → 5

regimes102.0ms

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	11	9
1	11	9

end0.0ms

sample352.0ms

Algorithm

intervals

Results

171.0ms	8000×	body	80	valid
17.0ms	577×	body	80	invalid

Details

analyze266.0ms

sample14.0ms

simplify6.0ms

prune4.0ms

localize5.0ms

rewrite11.0ms

series14.0ms

simplify80.0ms

prune29.0ms

localize6.0ms

rewrite11.0ms

series15.0ms

simplify52.0ms

prune18.0ms

localize7.0ms

rewrite29.0ms

series46.0ms

simplify53.0ms

prune43.0ms

localize12.0ms

rewrite54.0ms

series98.0ms

simplify62.0ms

prune59.0ms

regimes102.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample352.0ms

Profiling