Details

analyze534.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

simplify253.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	5404	13

prune1.0ms

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: 2.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
2.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`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`
1×	`pow-prod-down_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

9.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
15.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series353.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
256.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5026	1792

prune71.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z y))
0.7b	(cbrt.f64 (-.f64 x y))
0.7b	(cbrt.f64 (-.f64 x y))
0.7b	(cbrt.f64 (-.f64 x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 z y))
4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))

series873.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt.f64 (-.f64 z y))
218.0ms	(cbrt.f64 (-.f64 x y))
217.0ms	(cbrt.f64 (-.f64 x y))
225.0ms	(cbrt.f64 (-.f64 x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5221	928

prune77.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (-.f64 z y))
0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b	(/.f64 x (-.f64 z y))
2.1b	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
80×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
32×	`distribute-lft-out--_binary64`
30×	`add-cube-cbrt_binary64`
20×	`difference-of-squares_binary64`
18×	`associate-l_binary64`
12×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`associate-*l/_binary64`
3×	`associate-r_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sub-div_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

6.0ms	(/.f64 y (-.f64 z y))
37.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 x (-.f64 z y))
39.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)

series616.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/.f64 y (-.f64 z y))
128.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
63.0ms	(/.f64 x (-.f64 z y))
370.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5739	2569

prune91.0ms

Filtered

113 candidates to 151 candidates (-33.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	151	7	158

Merged error: 0b

Counts

158 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
2.1b	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`prod-exp_binary64` `associate-*l/_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64` `div-exp_binary64`
2×	`associate-r/_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

3 → 116

Calls

3 calls:

10.0ms	(/.f64 1 (-.f64 z y))
16.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
15.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

series399.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/.f64 1 (-.f64 z y))
89.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
256.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5746	1583

prune55.0ms

Filtered

74 candidates to 125 candidates (-68.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	125	7	132

Merged error: 0b

Counts

132 → 7

regimes77.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms

sample479.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	128	valid
17.0ms	589×	body	128	invalid

Details

analyze534.0ms

sample17.0ms

simplify253.0ms

prune1.0ms

localize7.0ms

rewrite35.0ms

series353.0ms

simplify66.0ms

prune71.0ms

localize18.0ms

rewrite22.0ms

series873.0ms

simplify58.0ms

prune77.0ms

localize8.0ms

rewrite104.0ms

series616.0ms

simplify78.0ms

prune91.0ms

localize8.0ms

rewrite52.0ms

series399.0ms

simplify73.0ms

prune55.0ms

regimes77.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample479.0ms

Profiling