Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

468×

body

valid

simplify94.0ms

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: 9.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
9.5b	(* x.re (- (* x.im x.im)))

rewrite13.0ms

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))
12.0ms	(* x.re (- (* x.im x.im)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
27.0ms	(* 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

prune115.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

21.0ms	(* (* x.re (- x.im)) x.im)
0.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

series76.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (* x.re (- x.im)) x.im)
50.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

simplify30.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (27.0ms)

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

prune100.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
23.4b	(cbrt (* (* x.re (- x.im)) x.im))
23.4b	(cbrt (* (* x.re (- x.im)) x.im))
23.4b	(cbrt (* (* x.re (- x.im)) x.im))

rewrite81.0ms

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:

29.0ms	(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
16.0ms	(cbrt (* (* x.re (- x.im)) x.im))
19.0ms	(cbrt (* (* x.re (- x.im)) x.im))
16.0ms	(cbrt (* (* x.re (- x.im)) x.im))

series405.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
94.0ms	(cbrt (* (* x.re (- x.im)) x.im))
99.0ms	(cbrt (* (* x.re (- x.im)) x.im))
92.0ms	(cbrt (* (* x.re (- x.im)) x.im))

simplify99.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	218	569
1	732	500
2	3403	434
3	5002	428

prune259.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.im)
14.4b	(cbrt (* x.re (- x.im)))
23.4b	(cbrt (* (* x.re (- x.im)) x.im))
23.4b	(cbrt (* (* x.re (- x.im)) x.im))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x.im)
4.0ms	(cbrt (* x.re (- x.im)))
16.0ms	(cbrt (* (* x.re (- x.im)) x.im))
16.0ms	(cbrt (* (* x.re (- x.im)) x.im))

series449.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt x.im)
90.0ms	(cbrt (* x.re (- x.im)))
94.0ms	(cbrt (* (* x.re (- x.im)) x.im))
95.0ms	(cbrt (* (* x.re (- x.im)) x.im))

simplify115.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	178	295
1	391	267
2	1127	239
3	3957	239
4	5001	239

prune231.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes128.0ms

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	20	5
2	23	5
3	23	5

end0.0ms

sample793.0ms

Algorithm

intervals

Results

497.0ms

14455×

body

valid