Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

454×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (20.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.8b	(* 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:

0.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.0ms	(* x.re (- (* x.im x.im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
30.0ms	(* x.re (- (* x.im x.im)))

simplify137.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (134.0ms)

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

prune116.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

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))

rewrite10.0ms

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))
9.0ms	(* (* x.re x.im) (- x.im))

series85.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
33.0ms	(* (* 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

prune122.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
5.8b	(* (pow x.im 2) x.re)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
6.0ms	(* (pow x.im 2) x.re)

series93.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
19.0ms	(* (pow x.im 2) x.re)

simplify98.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	136	197
1	451	169
2	2998	168
3	5002	168

prune130.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.6b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip3-+` `frac-sub` `flip--` `flip-+` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `fma-def` `fma-neg` `diff-log` `prod-diff` `sum-log` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

3.0ms	(+ (* x.re x.im) (* x.im x.re))
10.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
11.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series157.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x.re x.im) (* x.im x.re))
57.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
30.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
50.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify74.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	434	759
1	2133	646
2	5001	586

prune217.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b 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

sample754.0ms

Algorithm

intervals

Results

522.0ms

14547×

body

valid