Details

analyze287.0ms

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) y)
0.0b	(+.f64 (.f64 (-.f64 1.0 x) y) (.f64 x z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_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 → 33

Calls

2 calls:

6.0ms	(*.f64 (-.f64 1.0 x) y)
7.0ms	(+.f64 (.f64 (-.f64 1.0 x) y) (.f64 x z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 (-.f64 1.0 x) y)
9.0ms	(+.f64 (.f64 (-.f64 1.0 x) y) (.f64 x z))

simplify62.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4979	345
1	4979	345

prune36.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1.0 x))
0.0b	(+.f64 (.f64 (sqrt.f64 (-.f64 1.0 x)) (.f64 y (sqrt.f64 (-.f64 1.0 x)))) (*.f64 x z))
0.1b	(*.f64 y (sqrt.f64 (-.f64 1.0 x)))
0.1b	(.f64 (sqrt.f64 (-.f64 1.0 x)) (.f64 y (sqrt.f64 (-.f64 1.0 x))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `sqrt-prod_binary64` `sqrt-div_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
10×	`associate-*r/_binary64` `add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 1.0 x))
13.0ms	(+.f64 (.f64 (sqrt.f64 (-.f64 1.0 x)) (.f64 y (sqrt.f64 (-.f64 1.0 x)))) (*.f64 x z))
7.0ms	(*.f64 y (sqrt.f64 (-.f64 1.0 x)))
14.0ms	(.f64 (sqrt.f64 (-.f64 1.0 x)) (.f64 y (sqrt.f64 (-.f64 1.0 x))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 1.0 x))
9.0ms	(+.f64 (.f64 (sqrt.f64 (-.f64 1.0 x)) (.f64 y (sqrt.f64 (-.f64 1.0 x)))) (*.f64 x z))
11.0ms	(*.f64 y (sqrt.f64 (-.f64 1.0 x)))
6.0ms	(.f64 (sqrt.f64 (-.f64 1.0 x)) (.f64 y (sqrt.f64 (-.f64 1.0 x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5060	1021

prune132.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1.0 x))
0.0b	(*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y))
0.0b	(*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y))
0.2b	(.f64 (.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1_binary64`
41×	`pow-prod-down_binary64`
36×	`add-sqr-sqrt_binary64`
29×	`sqrt-prod_binary64`
21×	`pow1/2_binary64` `sqrt-pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64` `associate-*l/_binary64`
17×	`associate-l_binary64`
13×	`associate-r_binary64` `add-cube-cbrt_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow-prod-up_binary64` `unswap-sqr_binary64`
7×	`sqrt-unprod_binary64`
6×	`pow-sqr_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
2×	`associate-*r/_binary64` `pow-plus_binary64`
1×	`swap-sqr_binary64` `rem-square-sqrt_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 137

Calls

4 calls:

6.0ms	(sqrt.f64 (-.f64 1.0 x))
13.0ms	(*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y))
9.0ms	(*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y))
16.0ms	(.f64 (.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 1.0 x))
18.0ms	(*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y))
27.0ms	(*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y))
12.0ms	(.f64 (.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 1.0 x)) (sqrt.f64 y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5049	1291

prune101.0ms

Filtered

85 candidates to 149 candidates (-75.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	149	3	152

Merged error: 0.0b

Counts

152 → 3

regimes165.0ms

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	21	9
1	21	9

end0.0ms

sample405.0ms

Algorithm

intervals

Results

221.0ms	8000×	body	80	valid
17.0ms	649×	body	80	invalid

Details

analyze287.0ms

sample15.0ms

simplify17.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series15.0ms

simplify62.0ms

prune36.0ms

localize8.0ms

rewrite41.0ms

series31.0ms

simplify40.0ms

prune132.0ms

localize9.0ms

rewrite54.0ms

series61.0ms

simplify39.0ms

prune101.0ms

regimes165.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample405.0ms

Profiling