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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	673	7
1	673	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 1.0 z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`associate-l_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 31

Calls

1 calls:

9.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5170	379

prune40.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1.0 z)) (cbrt.f64 (-.f64 1.0 z)))
0.2b	(cbrt.f64 (-.f64 1.0 z))
0.2b	(cbrt.f64 (-.f64 1.0 z))
0.2b	(cbrt.f64 (-.f64 1.0 z))

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 1.0 z)) (cbrt.f64 (-.f64 1.0 z)))
3.0ms	(cbrt.f64 (-.f64 1.0 z))
3.0ms	(cbrt.f64 (-.f64 1.0 z))
3.0ms	(cbrt.f64 (-.f64 1.0 z))

series28.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 z)) (cbrt.f64 (-.f64 1.0 z)))
7.0ms	(cbrt.f64 (-.f64 1.0 z))
7.0ms	(cbrt.f64 (-.f64 1.0 z))
7.0ms	(cbrt.f64 (-.f64 1.0 z))

simplify64.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4914	1193
1	4914	1193

prune122.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b	(.f64 (+.f64 (.f64 1.0 1.0) (*.f64 z (+.f64 1.0 z))) (-.f64 x y))
2.6b	(-.f64 (.f64 x x) (.f64 y y))
3.8b	(.f64 (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)) (-.f64 (.f64 x x) (*.f64 y y)))
31.9b	(/.f64 (.f64 (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (+.f64 (.f64 1.0 1.0) (.f64 z (+.f64 1.0 z))) (-.f64 x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
28×	`associate-l_binary64`
20×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
16×	`frac-times_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`associate-r_binary64`
8×	`associate-/l/_binary64` `pow1_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `associate-l/_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
5×	`sub-neg_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`difference-cubes_binary64` `associate-/r_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 130

Calls

4 calls:

10.0ms	(.f64 (+.f64 (.f64 1.0 1.0) (*.f64 z (+.f64 1.0 z))) (-.f64 x y))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))
20.0ms	(.f64 (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)) (-.f64 (.f64 x x) (*.f64 y y)))
26.0ms	(/.f64 (.f64 (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (+.f64 (.f64 1.0 1.0) (.f64 z (+.f64 1.0 z))) (-.f64 x y)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (+.f64 (.f64 1.0 1.0) (*.f64 z (+.f64 1.0 z))) (-.f64 x y))
5.0ms	(-.f64 (.f64 x x) (.f64 y y))
17.0ms	(.f64 (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)) (-.f64 (.f64 x x) (*.f64 y y)))
49.0ms	(/.f64 (.f64 (-.f64 (pow.f64 1.0 3) (pow.f64 z 3)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (+.f64 (.f64 1.0 1.0) (.f64 z (+.f64 1.0 z))) (-.f64 x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4995	2853
1	4995	2853

prune174.0ms

Filtered

103 candidates to 142 candidates (-37.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

regimes253.0ms

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	7
1	19	7

end0.0ms

sample358.0ms

Algorithm

intervals

Results

178.0ms	7997×	body	80	valid
16.0ms	606×	body	80	invalid
0.0ms	3×	body	1280	valid

Details

analyze287.0ms

sample14.0ms

simplify30.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series8.0ms

simplify41.0ms

prune40.0ms

localize8.0ms

rewrite25.0ms

series28.0ms

simplify64.0ms

prune122.0ms

localize16.0ms

rewrite67.0ms

series80.0ms

simplify47.0ms

prune174.0ms

regimes253.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample358.0ms

Profiling