Details

analyze296.0ms

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

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	568	7
1	568	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 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`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` `difference-of-squares_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` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify43.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5162	360

prune41.0ms

Filtered

26 candidates to 35 candidates (-34.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `add-cube-cbrt_binary64` `flip-+_binary64` `associate-*l/_binary64`
4×	`pow1_binary64` `frac-add_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `sum-log_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `unsub-neg_binary64` `*-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

8.0ms	(*.f64 (+.f64 x y) (neg.f64 z))
8.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (+.f64 x y) (neg.f64 z))
10.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	524
1	4959	524

prune45.0ms

Filtered

40 candidates to 53 candidates (-32.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div_binary64`
32×	`frac-times_binary64`
23×	`flip3-+_binary64` `flip-+_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
16×	`associate-*r/_binary64`
13×	`pow1_binary64` `associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`distribute-lft-out--_binary64`

Counts

4 → 114

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x y))
11.0ms	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y)))
18.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 x y))
8.0ms	(sqrt.f64 (+.f64 x y))
13.0ms	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y)))
12.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4970	1653
1	4970	1653

prune102.0ms

Filtered

95 candidates to 126 candidates (-32.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 z) (-.f64 x y))
2.7b	(-.f64 (.f64 x x) (.f64 y y))
2.9b	(.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y)))
32.0b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`flip3--_binary64` `flip--_binary64`
16×	`frac-times_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`associate-/l/_binary64` `pow1_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `associate-/r/_binary64` `associate-l/_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
5×	`sub-neg_binary64` `difference-of-squares_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×	`associate-/r_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 111

Calls

4 calls:

10.0ms	(*.f64 (+.f64 1 z) (-.f64 x y))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))
10.0ms	(.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y)))
18.0ms	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 (+.f64 1 z) (-.f64 x y))
9.0ms	(-.f64 (.f64 x x) (.f64 y y))
21.0ms	(.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y)))
27.0ms	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (-.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 1 z) (-.f64 x y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4985	1702
1	4985	1702

prune109.0ms

Filtered

94 candidates to 123 candidates (-30.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Merged error: 0b

Counts

127 → 4

regimes300.0ms

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	50	9
1	50	9

end0.0ms

sample376.0ms

Algorithm

intervals

Results

189.0ms	7999×	body	80	valid
13.0ms	579×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze296.0ms

sample15.0ms

simplify29.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series8.0ms

simplify43.0ms

prune41.0ms

localize6.0ms

rewrite17.0ms

series17.0ms

simplify53.0ms

prune45.0ms

localize7.0ms

rewrite41.0ms

series40.0ms

simplify63.0ms

prune102.0ms

localize16.0ms

rewrite46.0ms

series64.0ms

simplify59.0ms

prune109.0ms

regimes300.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample376.0ms

Profiling