Details

analyze131.0ms

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5108	11

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: 10.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1.0))
9.9b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`associate-/r_binary64` `pow1_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_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`

Counts

2 → 50

Calls

2 calls:

13.0ms	(*.f64 x (+.f64 (/.f64 x y) 1.0))
13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 (/.f64 x y) 1.0))
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	591
1	4968	591

prune70.0ms

Filtered

38 candidates to 56 candidates (-47.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0)))
0.1b	(/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 146

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0)))
19.0ms	(/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0))

series18.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0)))
10.0ms	(/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4998	2646
1	4998	2646

prune139.0ms

Filtered

98 candidates to 152 candidates (-55.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Merged error: 0.0b

Counts

157 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
31×	`add-exp-log_binary64`
30×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-r_binary64`
11×	`div-exp_binary64`
10×	`associate-/r/_binary64`
8×	`distribute-lft-out_binary64` `prod-exp_binary64`
6×	`flip3-+_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `flip-+_binary64`
5×	`associate-/r*_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 114

Calls

3 calls:

18.0ms	(*.f64 (+.f64 x 1.0) (/.f64 1 (+.f64 1.0 (/.f64 x y))))
14.0ms	(/.f64 x (*.f64 (+.f64 x 1.0) (/.f64 1 (+.f64 1.0 (/.f64 x y)))))
9.0ms	(/.f64 1 (+.f64 1.0 (/.f64 x y)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x 1.0) (/.f64 1 (+.f64 1.0 (/.f64 x y))))
8.0ms	(/.f64 x (*.f64 (+.f64 x 1.0) (/.f64 1 (+.f64 1.0 (/.f64 x y)))))
7.0ms	(/.f64 1 (+.f64 1.0 (/.f64 x y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4932	1294
1	4932	1294

prune101.0ms

Filtered

78 candidates to 123 candidates (-57.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Merged error: 0.0b

Counts

130 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 (/.f64 x y) 1.0))
0.2b	(cbrt.f64 (+.f64 1.0 (/.f64 x y)))
0.2b	(cbrt.f64 (+.f64 1.0 (/.f64 x y)))
0.3b	(*.f64 (cbrt.f64 (+.f64 1.0 (/.f64 x y))) (cbrt.f64 (+.f64 1.0 (/.f64 x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_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 → 95

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1.0))
6.0ms	(cbrt.f64 (+.f64 1.0 (/.f64 x y)))
8.0ms	(cbrt.f64 (+.f64 1.0 (/.f64 x y)))
16.0ms	(*.f64 (cbrt.f64 (+.f64 1.0 (/.f64 x y))) (cbrt.f64 (+.f64 1.0 (/.f64 x y))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt.f64 (+.f64 (/.f64 x y) 1.0))
37.0ms	(cbrt.f64 (+.f64 1.0 (/.f64 x y)))
40.0ms	(cbrt.f64 (+.f64 1.0 (/.f64 x y)))
48.0ms	(*.f64 (cbrt.f64 (+.f64 1.0 (/.f64 x y))) (cbrt.f64 (+.f64 1.0 (/.f64 x y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4914	1177
1	4914	1177

prune112.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes91.0ms

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	10	11
1	10	11

end0.0ms

sample404.0ms

Algorithm

intervals

Results

258.0ms	8000×	body	80	valid
8.0ms	263×	body	80	invalid

Details

analyze131.0ms

sample16.0ms

simplify118.0ms

prune3.0ms

localize7.0ms

rewrite27.0ms

series14.0ms

simplify52.0ms

prune70.0ms

localize12.0ms

rewrite41.0ms

series18.0ms

simplify67.0ms

prune139.0ms

localize8.0ms

rewrite45.0ms

series25.0ms

simplify73.0ms

prune101.0ms

localize13.0ms

rewrite40.0ms

series164.0ms

simplify42.0ms

prune112.0ms

regimes91.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

Profiling