Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

456×

body

valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

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)

Merged error: 8.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.2b	(* x.re (- (* x.im x.im)))

rewrite5.0ms

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:

0.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
4.0ms	(* x.re (- (* x.im x.im)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
31.0ms	(* x.re (- (* x.im x.im)))

simplify139.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (135.0ms)

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

prune107.0ms

Filtered

40 candidates to 33 candidates (82.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

0.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
10.0ms	(* (* x.re x.im) (- x.im))

series80.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
28.0ms	(* (* x.re x.im) (- x.im))

simplify39.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

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

prune107.0ms

Filtered

44 candidates to 31 candidates (70.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
0.2b	(* -3 (* (* x.re x.im) x.im))
0.2b	(* (* x.re x.im) x.im)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 57

Calls

3 calls:

18.0ms	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
16.0ms	(* -3 (* (* x.re x.im) x.im))
6.0ms	(* (* x.re x.im) x.im)

series111.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
29.0ms	(* -3 (* (* x.re x.im) x.im))
28.0ms	(* (* x.re x.im) x.im)

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	250	315
1	1319	274
2	5001	269

prune125.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* -3 (* x.re x.im)) x.im) (pow x.re 3))
0.2b	(* (* -3 (* x.re x.im)) x.im)
0.2b	(* -3 (* x.re x.im))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 57

Calls

3 calls:

21.0ms	(+ (* (* -3 (* x.re x.im)) x.im) (pow x.re 3))
17.0ms	(* (* -3 (* x.re x.im)) x.im)
6.0ms	(* -3 (* x.re x.im))

series99.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* (* -3 (* x.re x.im)) x.im) (pow x.re 3))
29.0ms	(* (* -3 (* x.re x.im)) x.im)
17.0ms	(* -3 (* x.re x.im))

simplify52.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	254	311
1	1387	275
2	5002	269

prune110.0ms

Filtered

66 candidates to 40 candidates (60.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample734.0ms

Algorithm

intervals

Results

507.0ms

14544×

body

valid