Details

analyze33.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (+.f64 y 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`distribute-lft-out_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 40

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1.0))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5052	477

prune39.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 y 1.0))
0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`distribute-lft-out_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r_binary64` `associate-/r/_binary64` `associate-l*_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 83

Calls

2 calls:

5.0ms	(/.f64 1 (+.f64 y 1.0))
14.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (+.f64 y 1.0))
7.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5297	773

prune62.0ms

Filtered

52 candidates to 89 candidates (-71.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	4	93

Merged error: 0b

Counts

93 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 y 1.0))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 y 1.0)))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1.0))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1.0))))
0.1b	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity_binary64`
120×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
79×	`sqrt-prod_binary64`
69×	`add-cube-cbrt_binary64`
34×	`associate-r_binary64`
32×	`distribute-lft-out_binary64` `add-exp-log_binary64`
27×	`associate-l_binary64`
20×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`associate-/r*_binary64`
11×	`div-exp_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
7×	`associate-/l*_binary64`
6×	`flip3-+_binary64` `cbrt-undiv_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 222

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 y 1.0))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 y 1.0)))
32.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1.0))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1.0))))
9.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1.0)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 y 1.0))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 y 1.0)))
6.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1.0))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1.0))))
13.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5004	3058

prune222.0ms

Filtered

126 candidates to 234 candidates (-85.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	234	4	238

Merged error: 0b

Counts

238 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1.0 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-sub_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

1 → 19

Calls

1 calls:

12.0ms

(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1.0 y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1.0 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5280	320

prune19.0ms

Filtered

15 candidates to 22 candidates (-46.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	22	4	26

Merged error: 0b

Counts

26 → 4

regimes107.0ms

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	8	7
1	8	7

end0.0ms

sample287.0ms

Algorithm

intervals

Results

171.0ms

8000×

body

valid

Details

analyze33.0ms

sample11.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify55.0ms

prune39.0ms

localize5.0ms

rewrite23.0ms

series10.0ms

simplify61.0ms

prune62.0ms

localize8.0ms

rewrite60.0ms

series30.0ms

simplify47.0ms

prune222.0ms

localize6.0ms

rewrite12.0ms

series5.0ms

simplify53.0ms

prune19.0ms

regimes107.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample287.0ms

Profiling