Details

analyze639.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	96×	body	80	invalid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5007	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (.f64 z z) (.f64 x x))
13.3b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 46

Calls

2 calls:

4.0ms	(-.f64 (.f64 z z) (.f64 x x))
6.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

series19.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(-.f64 (.f64 z z) (.f64 x x))
12.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5005	625

prune71.0ms

Filtered

40 candidates to 52 candidates (-30.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac_binary64`
161×	`*-un-lft-identity_binary64`
117×	`add-sqr-sqrt_binary64`
79×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
22×	`distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64` `div-inv_binary64`
6×	`flip3--_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`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

2 → 163

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 z x))
12.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 y (-.f64 z x))
12.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4981	2547
1	4981	2547

prune140.0ms

Filtered

108 candidates to 169 candidates (-56.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	168	7	175

Merged error: 0b

Counts

175 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x))))
0.3b	(*.f64 y (/.f64 1 (-.f64 z x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
31×	`add-exp-log_binary64`
25×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
11×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
4×	`cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 116

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 z x))
12.0ms	(/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x))))
11.0ms	(*.f64 y (/.f64 1 (-.f64 z x)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (-.f64 z x))
15.0ms	(/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x))))
8.0ms	(*.f64 y (/.f64 1 (-.f64 z x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5028	981

prune94.0ms

Filtered

69 candidates to 125 candidates (-81.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	125	7	132

Merged error: 0b

Counts

132 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 81

Calls

2 calls:

6.0ms	(/.f64 (-.f64 z x) y)
13.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (-.f64 z x) y)
12.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4986	867
1	4986	867

prune65.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

regimes280.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample710.0ms

Algorithm

intervals

Results

339.0ms	8000×	body	80	valid
128.0ms	2923×	body	80	invalid

Details

analyze639.0ms

sample26.0ms

simplify50.0ms

prune12.0ms

localize9.0ms

rewrite12.0ms

series19.0ms

simplify31.0ms

prune71.0ms

localize11.0ms

rewrite28.0ms

series20.0ms

simplify59.0ms

prune140.0ms

localize10.0ms

rewrite34.0ms

series27.0ms

simplify47.0ms

prune94.0ms

localize11.0ms

rewrite22.0ms

series18.0ms

simplify48.0ms

prune65.0ms

regimes280.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample710.0ms

Profiling