Details

analyze452.0ms

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample31.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

Iter	Nodes	Cost
0	5032	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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.6b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite21.0ms

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:

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
25.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4986	729
1	4986	729

prune75.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	5	68

Merged error: 0b

Counts

68 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.3b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))

rewrite32.0ms

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 y t)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
26.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5745	1257

prune106.0ms

Filtered

93 candidates to 122 candidates (-31.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

5.0ms	(/.f64 x (-.f64 y z))
12.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series30.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 x (-.f64 y z))
22.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

simplify52.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5017	3094

prune130.0ms

Filtered

129 candidates to 191 candidates (-48.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	191	5	196

Merged error: 0b

Counts

196 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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

series35.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 x (-.f64 y t))
22.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))

simplify55.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5017	3094

prune118.0ms

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

regimes222.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	18
1	72	18

end0.0ms

sample466.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	80	valid
12.0ms	378×	body	80	invalid

Details

analyze452.0ms

sample31.0ms

simplify197.0ms

prune3.0ms

localize8.0ms

rewrite21.0ms

series33.0ms

simplify40.0ms

prune75.0ms

localize11.0ms

rewrite32.0ms

series80.0ms

simplify44.0ms

prune106.0ms

localize7.0ms

rewrite30.0ms

series30.0ms

simplify52.0ms

prune130.0ms

localize8.0ms

rewrite29.0ms

series35.0ms

simplify55.0ms

prune118.0ms

regimes222.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample466.0ms

Profiling