Details

analyze658.0ms

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
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	65×	body	80	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

prune11.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
5.1b	(.f64 y (.f64 t (-.f64 x z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

6.0ms	(*.f64 t (-.f64 x z))
8.0ms	(.f64 y (.f64 t (-.f64 x z)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 t (-.f64 x z))
13.0ms	(.f64 y (.f64 t (-.f64 x z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5277	393

prune71.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

5.1b	(.f64 y (.f64 t (-.f64 x z)))
7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`cbrt-div_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 57

Calls

4 calls:

10.0ms	(.f64 y (.f64 t (-.f64 x z)))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 y (.f64 t (-.f64 x z)))
39.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
37.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
36.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

simplify77.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5262	638

prune84.0ms

Filtered

54 candidates to 69 candidates (-27.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
7.4b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*r/_binary64`
8×	`cbrt-div_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `cbrt-prod_binary64`

Counts

4 → 44

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
37.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
40.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
37.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5288	572

prune84.0ms

Filtered

52 candidates to 56 candidates (-7.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	56	11	67

Merged error: 0.0b

Counts

67 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (.f64 x y) (.f64 z y))
6.4b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
3×	`associate-r_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z y))
6.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5098	319

prune32.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	4	3	7
Picked	0	1	1
Done	1	2	3
Total	41	9	50

Merged error: 0.0b

Counts

50 → 9

regimes580.0ms

Accuracy

92.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.0b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	79
1	60	79

end0.0ms

sample561.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
62.0ms	1939×	body	80	invalid

Details

analyze658.0ms

sample21.0ms

simplify22.0ms

prune11.0ms

localize9.0ms

rewrite15.0ms

series21.0ms

simplify38.0ms

prune71.0ms

localize10.0ms

rewrite29.0ms

series125.0ms

simplify77.0ms

prune84.0ms

localize18.0ms

rewrite26.0ms

series153.0ms

simplify41.0ms

prune84.0ms

localize7.0ms

rewrite11.0ms

series26.0ms

simplify49.0ms

prune32.0ms

regimes580.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample561.0ms

Profiling