Details

sample52.0ms

Algorithm

intervals

Results

41.0ms

475×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (19.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.6b	(* 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)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
32.0ms	(* x.re (- (* x.im x.im)))

simplify134.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (131.0ms)

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

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

8.0ms	(* (* x.re (- x.im)) x.im)
0.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (* x.re (- x.im)) x.im)
52.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

simplify31.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	151	193
1	780	168
2	5001	167

prune101.0ms

Pruning

10 alts after pruning (9 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))
0.1b	(* (* x.re x.im) x.im)
0.2b	(* -3 (* (* 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))
6.0ms	(* (* x.re x.im) x.im)
17.0ms	(* -3 (* (* x.re x.im) x.im))

series110.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
26.0ms	(* (* x.re x.im) x.im)
33.0ms	(* -3 (* (* x.re x.im) x.im))

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (42.0ms)

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

prune144.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
0.1b	(* (* x.re x.im) x.im)
0.2b	(* -3 (* (* x.re x.im) x.im))

rewrite46.0ms

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))
6.0ms	(* (* x.re x.im) x.im)
20.0ms	(* -3 (* (* x.re x.im) x.im))

series110.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
29.0ms	(* (* x.re x.im) x.im)
30.0ms	(* -3 (* (* x.re x.im) x.im))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (42.0ms)

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

prune144.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes101.0ms

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	17	5
1	17	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

14488×

body

valid