Details

analyze903.0ms

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample29.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	79×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
6×	`diff-log_binary64`
4×	`add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3--_binary64` `associate-+l-_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `associate--l-_binary64` `associate-+l+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

3 → 42

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series34.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
12.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
8.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify51.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5175	514

prune33.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0.0b

Counts

53 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`flip3--_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

15.0ms

(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

simplify48.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4926	376
1	4926	376

prune23.0ms

Filtered

21 candidates to 33 candidates (-57.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Merged error: 0b

Counts

36 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) (cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
0.5b	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
0.5b	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
0.5b	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity_binary64`
102×	`cbrt-div_binary64`
93×	`cbrt-prod_binary64`
68×	`flip3--_binary64` `frac-add_binary64` `flip--_binary64`
60×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
36×	`frac-times_binary64`
30×	`swap-sqr_binary64`
23×	`add-sqr-sqrt_binary64`
17×	`flip3-+_binary64` `flip-+_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`pow1/3_binary64`
6×	`associate-r/_binary64` `add-exp-log_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 183

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) (cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
10.0ms	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
11.0ms	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
9.0ms	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))) (cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
57.0ms	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
56.0ms	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))
66.0ms	(cbrt.f64 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))

simplify64.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4958	5334
1	4958	5334

prune82.0ms

Filtered

114 candidates to 195 candidates (-71.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	195	5	200

Merged error: 0b

Counts

200 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))) (cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))))
1.6b	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
1.6b	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
1.6b	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

108×	`associate-*r/_binary64`
102×	`cbrt-div_binary64`
68×	`flip3--_binary64` `frac-add_binary64` `flip--_binary64`
36×	`frac-times_binary64`
17×	`flip3-+_binary64` `flip-+_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))) (cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))))
11.0ms	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
11.0ms	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
11.0ms	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))) (cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1)))))
112.0ms	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
112.0ms	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))
116.0ms	(cbrt.f64 (*.f64 d1 (+.f64 (-.f64 d2 d3) (-.f64 d4 d1))))

simplify42.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5039	4683

prune69.0ms

Filtered

101 candidates to 136 candidates (-34.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	136	5	141

Merged error: 0b

Counts

141 → 5

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	15
1	51	15

end0.0ms

sample689.0ms

Algorithm

intervals

Results

331.0ms	8000×	body	80	valid
103.0ms	2390×	body	80	invalid

Details

analyze903.0ms

sample29.0ms

simplify64.0ms

prune8.0ms

localize10.0ms

rewrite22.0ms

series34.0ms

simplify51.0ms

prune33.0ms

localize6.0ms

rewrite17.0ms

series13.0ms

simplify48.0ms

prune23.0ms

localize10.0ms

rewrite71.0ms

series256.0ms

simplify64.0ms

prune82.0ms

localize10.0ms

rewrite52.0ms

series527.0ms

simplify42.0ms

prune69.0ms

regimes213.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample689.0ms

Profiling