Details

analyze433.0ms

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
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	771	9
1	771	9

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: 6.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
6.9b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

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

series39.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
31.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5099	731

prune50.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 0b

Counts

68 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`
36×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
11×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow1/3_binary64`
2×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
24.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
36.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5743	1257

prune55.0ms

Filtered

91 candidates to 122 candidates (-34.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
2.2b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

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

series38.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 y z))
30.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

simplify65.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5407	3094

prune60.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	191	5	196

Merged error: 0b

Counts

196 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.0b	(/.f64 x (-.f64 t z))
2.4b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 y z))
6.0ms	(/.f64 x (-.f64 t z))
20.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

series66.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (-.f64 y z))
8.0ms	(/.f64 x (-.f64 t z))
53.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5027	1511

prune49.0ms

Filtered

100 candidates to 159 candidates (-59.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	159	5	164

Merged error: 0b

Counts

164 → 5

regimes402.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms

sample466.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
12.0ms	413×	body	80	invalid

Details

analyze433.0ms

sample18.0ms

simplify35.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series39.0ms

simplify43.0ms

prune50.0ms

localize12.0ms

rewrite33.0ms

series86.0ms

simplify47.0ms

prune55.0ms

localize6.0ms

rewrite32.0ms

series38.0ms

simplify65.0ms

prune60.0ms

localize9.0ms

rewrite38.0ms

series66.0ms

simplify62.0ms

prune49.0ms

regimes402.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample466.0ms

Profiling