Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

451×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	23	8
1	56	7
2	129	7
3	353	5
4	948	5
5	2260	5
6	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b	(* 3 (* x.im (* x.re x.re)))
6.7b	(* x.im (* x.re x.re))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `unswap-sqr` `sqr-pow`

Counts

3 → 71

Calls

3 calls:

12.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
7.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series114.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
32.0ms	(* 3 (* x.im (* x.re x.re)))
29.0ms	(* x.im (* x.re x.re))

simplify68.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	341	461
1	1599	389
2	5001	386

prune138.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

9.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* x.im x.re) x.re))

series116.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
32.0ms	(* (* x.im x.re) x.re)
33.0ms	(* 3 (* (* x.im x.re) x.re))

simplify79.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	353	461
1	1898	388
2	5002	386

prune137.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.1b	(* (* 3 (* x.im x.re)) x.re)
0.3b	(* 3 (* x.im x.re))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

9.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
7.0ms	(* (* 3 (* x.im x.re)) x.re)
5.0ms	(* 3 (* x.im x.re))

series106.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
33.0ms	(* (* 3 (* x.im x.re)) x.re)
22.0ms	(* 3 (* x.im x.re))

simplify84.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	353	457
1	1904	388
2	5002	386

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re) (pow x.im 3))
0.1b	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
0.3b	(* (cbrt 3) (* x.im x.re))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
12×	`prod-diff`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `unpow-prod-down` `cube-prod` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

16.0ms	(- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re) (pow x.im 3))
17.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re)
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
6.0ms	(* (cbrt 3) (* x.im x.re))

series294.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re) (pow x.im 3))
86.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re)
69.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
43.0ms	(* (cbrt 3) (* x.im x.re))

simplify102.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	492	1199
1	2547	890
2	5002	748

prune199.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample747.0ms

Algorithm

intervals

Results

516.0ms

14525×

body

valid