Details

analyze333.0ms

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	244×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	20×	body	80	invalid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune2.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

simplify68.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4959	352
1	4959	352

prune28.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 x 5))
5.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 x 5))
9.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))

simplify68.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4946	352
1	4946	352

prune32.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
3.6b	(.f64 z (-.f64 (.f64 x x) 25))
6.0b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
4×	`associate-r_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

9.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
9.0ms	(.f64 z (-.f64 (.f64 x x) 25))
11.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

series42.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
11.0ms	(.f64 z (-.f64 (.f64 x x) 25))
16.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

simplify54.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5733	847

prune47.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
0.3b	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
7.1b	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64`
149×	`add-sqr-sqrt_binary64`
123×	`*-un-lft-identity_binary64`
81×	`add-cube-cbrt_binary64`
47×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 179

Calls

3 calls:

22.0ms	(+.f64 (.f64 x y) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
13.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
10.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

series38.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 x y) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
19.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
4.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

simplify68.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4951	3371
1	4951	3371

prune127.0ms

Filtered

144 candidates to 188 candidates (-30.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	188	6	194

Merged error: 0b

Counts

194 → 6

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample425.0ms

Algorithm

intervals

Results

200.0ms	7670×	body	80	valid
16.0ms	642×	body	80	invalid
14.0ms	120×	body	640	valid
14.0ms	120×	body	1280	valid
5.0ms	68×	body	320	valid
1.0ms	22×	body	160	valid

Details

analyze333.0ms

sample18.0ms

simplify7.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series15.0ms

simplify68.0ms

prune28.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify68.0ms

prune32.0ms

localize10.0ms

rewrite30.0ms

series42.0ms

simplify54.0ms

prune47.0ms

localize10.0ms

rewrite55.0ms

series38.0ms

simplify68.0ms

prune127.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample425.0ms

Profiling