Details

analyze141.0ms

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
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

sample17.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 52

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

simplify57.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4867	651
1	4867	651

prune47.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite25.0ms

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:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

series114.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
24.0ms	(cbrt.f64 (-.f64 x y))
24.0ms	(cbrt.f64 (-.f64 x y))
27.0ms	(cbrt.f64 (-.f64 x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5297	1060

prune89.0ms

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 2 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))
0.1b	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt_binary64`
102×	`*-un-lft-identity_binary64`
84×	`times-frac_binary64`
65×	`sqrt-prod_binary64`
46×	`associate-r_binary64`
44×	`add-cube-cbrt_binary64`
29×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64` `sqrt-div_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 147

Calls

2 calls:

10.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))
27.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))
11.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4960	1962
1	4960	1962

prune80.0ms

Filtered

86 candidates to 153 candidates (-77.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	153	4	157

Merged error: 0b

Counts

157 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b	(+.f64 (.f64 y y) (.f64 z y))
3.8b	(-.f64 (pow.f64 z 3) (pow.f64 y 3))
7.4b	(/.f64 (-.f64 x y) (-.f64 (pow.f64 z 3) (pow.f64 y 3)))
37.4b	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z y))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

463×	`add-sqr-sqrt_binary64`
290×	`*-un-lft-identity_binary64`
251×	`times-frac_binary64`
243×	`difference-of-squares_binary64`
144×	`unpow-prod-down_binary64` `cube-prod_binary64`
131×	`associate-l_binary64`
111×	`distribute-lft-out--_binary64`
96×	`sqr-pow_binary64`
68×	`add-cube-cbrt_binary64`
25×	`associate-/r*_binary64`
12×	`difference-cubes_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
5×	`associate-/l*_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 373

Calls

4 calls:

4.0ms	(+.f64 (.f64 y y) (.f64 z y))
13.0ms	(-.f64 (pow.f64 z 3) (pow.f64 y 3))
21.0ms	(/.f64 (-.f64 x y) (-.f64 (pow.f64 z 3) (pow.f64 y 3)))
46.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z y))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 y y) (.f64 z y))
9.0ms	(-.f64 (pow.f64 z 3) (pow.f64 y 3))
20.0ms	(/.f64 (-.f64 x y) (-.f64 (pow.f64 z 3) (pow.f64 y 3)))
42.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z y))))

simplify85.0ms

Algorithm

egg-herbie

Counts

385 → 385

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5642	7765

prune264.0ms

Filtered

196 candidates to 385 candidates (-96.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	385	0	385
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	385	4	389

Merged error: 0b

Counts

389 → 4

regimes189.0ms

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

sample356.0ms

Algorithm

intervals

Results

186.0ms	8000×	body	80	valid
5.0ms	231×	body	80	invalid

Details

analyze141.0ms

sample17.0ms

simplify60.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify57.0ms

prune47.0ms

localize8.0ms

rewrite25.0ms

series114.0ms

simplify62.0ms

prune89.0ms

localize7.0ms

rewrite45.0ms

series41.0ms

simplify75.0ms

prune80.0ms

localize15.0ms

rewrite118.0ms

series77.0ms

simplify85.0ms

prune264.0ms

regimes189.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample356.0ms

Profiling