Details

analyze267.0ms

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
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	22×	body	128	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune1.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

3.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
7.0ms	(*.f64 (-.f64 y x) z)

series125.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
65.0ms	(*.f64 (-.f64 y x) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4877	448
1	4877	448

prune21.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
4.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))
5.0ms	(cbrt.f64 (-.f64 y x))

series893.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
215.0ms	(cbrt.f64 (-.f64 y x))
215.0ms	(cbrt.f64 (-.f64 y x))
226.0ms	(cbrt.f64 (-.f64 y x))

simplify113.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4854	1652
1	4854	1652

prune80.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 60

Calls

3 calls:

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

series242.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))
82.0ms	(*.f64 (-.f64 y x) (sqrt.f64 z))
69.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))

simplify63.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4993	872
1	4993	872

prune33.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0b

Counts

73 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

4.0ms	(sqrt.f64 (-.f64 y x))
4.0ms	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x)))))
8.0ms	(*.f64 z (sqrt.f64 (-.f64 y x)))
15.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt.f64 (-.f64 y x))
56.0ms	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x)))))
132.0ms	(*.f64 z (sqrt.f64 (-.f64 y x)))
67.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5202	1376

prune51.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes43.0ms

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	19	10
1	19	10

end0.0ms

sample364.0ms

Algorithm

intervals

Results

180.0ms	8000×	body	128	valid
13.0ms	596×	body	128	invalid

Details

analyze267.0ms

sample13.0ms

simplify20.0ms

prune1.0ms

localize5.0ms

rewrite13.0ms

series125.0ms

simplify66.0ms

prune21.0ms

localize9.0ms

rewrite36.0ms

series893.0ms

simplify113.0ms

prune80.0ms

localize7.0ms

rewrite28.0ms

series242.0ms

simplify63.0ms

prune33.0ms

localize8.0ms

rewrite38.0ms

series314.0ms

simplify51.0ms

prune51.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample364.0ms

Profiling