Details

analyze110.0ms

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

sample14.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5108	11

prune6.0ms

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: 7.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1.0))
7.0b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

rewrite23.0ms

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:

9.0ms	(*.f64 x (+.f64 (/.f64 x y) 1.0))
13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (+.f64 (/.f64 x y) 1.0))
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4968	591
1	4968	591

prune69.0ms

Filtered

38 candidates to 56 candidates (-47.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0b

Counts

57 → 6

localize6.0ms

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))

rewrite31.0ms

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)))
11.0ms	(/.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))

simplify68.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4998	2646
1	4998	2646

prune126.0ms

Filtered

98 candidates to 152 candidates (-55.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Merged error: 0b

Counts

158 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0))
0.1b	(*.f64 x (/.f64 x y))
7.0b	(/.f64 (+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0)) (+.f64 x 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64` `times-frac_binary64`
21×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
11×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 84

Calls

3 calls:

6.0ms	(+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0))
7.0ms	(*.f64 x (/.f64 x y))
11.0ms	(/.f64 (+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0)) (+.f64 x 1.0))

series31.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0))
7.0ms	(*.f64 x (/.f64 x y))
13.0ms	(/.f64 (+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0)) (+.f64 x 1.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5554	1057

prune79.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0))
7.0b	(/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0)) (+.f64 x 1.0))
10.4b	(/.f64 (*.f64 x x) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/r*_binary64`
5×	`add-log-exp_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 67

Calls

3 calls:

7.0ms	(+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0))
12.0ms	(/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0)) (+.f64 x 1.0))
5.0ms	(/.f64 (*.f64 x x) y)

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0))
8.0ms	(/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0)) (+.f64 x 1.0))
4.0ms	(/.f64 (*.f64 x x) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4948	919
1	4948	919

prune64.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

end0.0ms

sample380.0ms

Algorithm

intervals

Results

247.0ms	8000×	body	80	valid
7.0ms	249×	body	80	invalid

Details

analyze110.0ms

sample14.0ms

simplify111.0ms

prune6.0ms

localize6.0ms

rewrite23.0ms

series13.0ms

simplify50.0ms

prune69.0ms

localize6.0ms

rewrite31.0ms

series18.0ms

simplify68.0ms

prune126.0ms

localize7.0ms

rewrite26.0ms

series31.0ms

simplify93.0ms

prune79.0ms

localize10.0ms

rewrite25.0ms

series18.0ms

simplify60.0ms

prune64.0ms

regimes117.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample380.0ms

Profiling