Details

analyze63.0ms

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	46	10
1	46	10

prune2.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

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

series36.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
24.0ms	(+.f64 (*.f64 x y) x)

simplify115.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4972	394
1	4972	394

prune16.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 y y)) x)
1.2b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
7.2b	(.f64 x (.f64 y y))
31.4b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 77

Calls

4 calls:

6.0ms	(-.f64 (.f64 x (.f64 y y)) x)
9.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))
15.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(-.f64 (.f64 x (.f64 y y)) x)
60.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
30.0ms	(.f64 x (.f64 y y))
97.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

simplify85.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5950	1319

prune51.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 y y)) x)
0.1b	(/.f64 x (/.f64 (-.f64 (.f64 x y) x) (-.f64 (.f64 x (*.f64 y y)) x)))
6.7b	(/.f64 (-.f64 (.f64 x y) x) (-.f64 (.f64 x (*.f64 y y)) x))
7.2b	(.f64 x (.f64 y y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
9×	`pow1_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `unswap-sqr_binary64` `div-sub_binary64` `*-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

6.0ms	(-.f64 (.f64 x (.f64 y y)) x)
16.0ms	(/.f64 x (/.f64 (-.f64 (.f64 x y) x) (-.f64 (.f64 x (*.f64 y y)) x)))
11.0ms	(/.f64 (-.f64 (.f64 x y) x) (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))

series238.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(-.f64 (.f64 x (.f64 y y)) x)
96.0ms	(/.f64 x (/.f64 (-.f64 (.f64 x y) x) (-.f64 (.f64 x (*.f64 y y)) x)))
56.0ms	(/.f64 (-.f64 (.f64 x y) x) (-.f64 (.f64 x (*.f64 y y)) x))
40.0ms	(.f64 x (.f64 y y))

simplify100.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5413	4471

prune116.0ms

Filtered

120 candidates to 152 candidates (-26.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	152	3	155

Merged error: 0b

Counts

155 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x y))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

5.0ms	(+.f64 x (*.f64 x y))
5.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
5.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
17.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+.f64 x (*.f64 x y))
23.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
25.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
33.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5776	1471

prune48.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms

sample282.0ms

Algorithm

intervals

Results

160.0ms	7998×	body	80	valid
2.0ms	80×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze63.0ms

sample10.0ms

simplify14.0ms

prune2.0ms

localize4.0ms

rewrite15.0ms

series36.0ms

simplify115.0ms

prune16.0ms

localize10.0ms

rewrite38.0ms

series236.0ms

simplify85.0ms

prune51.0ms

localize10.0ms

rewrite45.0ms

series238.0ms

simplify100.0ms

prune116.0ms

localize11.0ms

rewrite37.0ms

series102.0ms

simplify79.0ms

prune48.0ms

regimes27.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample282.0ms

Profiling