Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

439×

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

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)))
7.0b	(* x.im (* x.re x.re))

rewrite50.0ms

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:

24.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
17.0ms	(* 3 (* x.im (* x.re x.re)))
7.0ms	(* x.im (* x.re x.re))

series115.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
32.0ms	(* 3 (* x.im (* x.re x.re)))
30.0ms	(* x.im (* x.re x.re))

simplify69.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (63.0ms)

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

prune137.0ms

Filtered

80 candidates to 44 candidates (55.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

21.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
6.0ms	(* (* x.im x.re) x.re)
17.0ms	(* 3 (* (* x.im x.re) x.re))

series116.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
29.0ms	(* (* x.im x.re) x.re)
35.0ms	(* 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

prune130.0ms

Filtered

79 candidates to 42 candidates (53.2%)

Pruning

7 alts after pruning (6 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)
0.2b	(* 3 (* x.im x.re))

rewrite49.0ms

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:

21.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
18.0ms	(* (* 3 (* x.im x.re)) x.re)
8.0ms	(* 3 (* x.im x.re))

series105.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
35.0ms	(* (* 3 (* x.im x.re)) x.re)
19.0ms	(* 3 (* x.im x.re))

simplify82.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (75.0ms)

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

prune128.0ms

Filtered

79 candidates to 40 candidates (50.6%)

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)
0.2b	(* (* 3 x.im) x.re)

rewrite54.0ms

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`
6×	`associate-r`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

24.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
21.0ms	(* (* (* 3 x.im) x.re) x.re)
6.0ms	(* (* 3 x.im) x.re)

series111.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* (* (* 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 (78.0ms)

Iter	Nodes	Cost
0	355	459
1	2021	388
2	5002	386

prune118.0ms

Filtered

79 candidates to 41 candidates (51.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

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	11	5
1	11	5

end0.0ms

sample755.0ms

Algorithm

intervals

Results

520.0ms

14272×

body

valid