Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

487×

body

valid

simplify93.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.2b	(* 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))
5.0ms	(* x.re (- (* x.im x.im)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
29.0ms	(* 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

prune113.0ms

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))

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))

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

prune113.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
22.1b	(cbrt (* (* x.re x.im) (- x.im)))
22.1b	(cbrt (* (* x.re x.im) (- x.im)))
22.1b	(cbrt (* (* x.re x.im) (- x.im)))

rewrite26.0ms

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:

8.0ms	(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
6.0ms	(cbrt (* (* x.re x.im) (- x.im)))
6.0ms	(cbrt (* (* x.re x.im) (- x.im)))
6.0ms	(cbrt (* (* x.re x.im) (- x.im)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
103.0ms	(cbrt (* (* x.re x.im) (- x.im)))
103.0ms	(cbrt (* (* x.re x.im) (- x.im)))
103.0ms	(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	429

prune252.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x.im))
11.2b	(cbrt (* x.re x.im))
22.1b	(cbrt (* (* x.re x.im) (- x.im)))
22.1b	(cbrt (* (* x.re x.im) (- x.im)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (- x.im))
1.0ms	(cbrt (* x.re x.im))
6.0ms	(cbrt (* (* x.re x.im) (- x.im)))
9.0ms	(cbrt (* (* x.re x.im) (- x.im)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (- x.im))
68.0ms	(cbrt (* x.re x.im))
102.0ms	(cbrt (* (* x.re x.im) (- x.im)))
103.0ms	(cbrt (* (* x.re x.im) (- x.im)))

simplify90.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	181	327
1	376	299
2	1072	271
3	3326	269
4	5002	269

prune258.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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

sample730.0ms

Algorithm

intervals

Results

503.0ms

14659×

body

valid