Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

481×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

Iter	Nodes	Cost
0	24	9
1	61	9
2	168	8
3	483	6
4	1418	5
5	3857	5
6	5001	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 5.6b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.9b	(* x.re (- (* x.im x.im)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.0ms	(* x.re (- (* x.im x.im)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
31.0ms	(* x.re (- (* x.im x.im)))

simplify136.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	129	200
1	707	179
2	4464	174
3	5001	173

prune105.0ms

Filtered

40 candidates to 33 candidates (82.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
0.2b	(* (* x.re x.im) (- x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 38

Calls

2 calls:

1.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
6.0ms	(* (* x.re x.im) (- x.im))

series78.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
30.0ms	(* (* x.re x.im) (- x.im))

simplify37.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	186	216
1	1009	190
2	5001	185

prune107.0ms

Filtered

44 candidates to 32 candidates (72.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	42	9	51

Merged error: 0.0b

Counts

51 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
25.9b	(cbrt (* (* x.re x.im) (- x.im)))
25.9b	(cbrt (* (* x.re x.im) (- x.im)))
25.9b	(cbrt (* (* x.re x.im) (- x.im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
4.0ms	(cbrt (* (* x.re x.im) (- x.im)))
4.0ms	(cbrt (* (* x.re x.im) (- x.im)))
5.0ms	(cbrt (* (* x.re x.im) (- x.im)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
94.0ms	(cbrt (* (* x.re x.im) (- x.im)))
96.0ms	(cbrt (* (* x.re x.im) (- x.im)))
97.0ms	(cbrt (* (* x.re x.im) (- x.im)))

simplify98.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	218	569
1	735	500
2	3374	434
3	5001	428

prune243.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

25.9b	(cbrt (* (* x.re x.im) (- x.im)))
25.9b	(cbrt (* (* x.re x.im) (- x.im)))
25.9b	(cbrt (* (* x.re x.im) (- x.im)))
25.9b	(cbrt (* (* x.re x.im) (- x.im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt (* (* x.re x.im) (- x.im)))
4.0ms	(cbrt (* (* x.re x.im) (- x.im)))
4.0ms	(cbrt (* (* x.re x.im) (- x.im)))
4.0ms	(cbrt (* (* x.re x.im) (- x.im)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (* (* x.re x.im) (- x.im)))
96.0ms	(cbrt (* (* x.re x.im) (- x.im)))
95.0ms	(cbrt (* (* x.re x.im) (- x.im)))
97.0ms	(cbrt (* (* x.re x.im) (- x.im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	100	352
1	205	316
2	456	280
3	1215	280
4	5001	280

prune233.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	16	5
2	22	5
3	22	5

end0.0ms

sample713.0ms

Algorithm

intervals

Results

490.0ms

14211×

body

valid