Details

sample25.0ms

Algorithm

intervals

Results

15.0ms

451×

body

valid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	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))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

21.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
16.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

series115.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
33.0ms	(* 3 (* x.im (* x.re x.re)))
29.0ms	(* x.im (* x.re x.re))

simplify151.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	205	293
1	839	254
2	4612	251
3	5001	251

prune110.0ms

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))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

19.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
9.0ms	(* (* x.im x.re) x.re)
17.0ms	(* 3 (* (* x.im x.re) x.re))

series113.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
31.0ms	(* (* x.im x.re) x.re)
32.0ms	(* 3 (* (* x.im x.re) x.re))

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	218	293
1	1110	254
2	5002	251

prune111.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

20.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
20.0ms	(* (* 3 (* x.im x.re)) x.re)
6.0ms	(* 3 (* x.im x.re))

series104.0ms

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)
19.0ms	(* 3 (* x.im x.re))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	218	289
1	1116	254
2	5001	251

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
8×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 94

Calls

4 calls:

98.0ms	(- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re) (pow x.im 3))
93.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re)
28.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
7.0ms	(* (cbrt 3) (* x.im x.re))

series286.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re) (pow x.im 3))
83.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.re)
66.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
46.0ms	(* (cbrt 3) (* x.im x.re))

simplify64.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	355	934
1	1745	683
2	5002	579

prune162.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

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	15	6
1	15	6

end0.0ms

sample731.0ms

Algorithm

intervals

Results

509.0ms

14525×

body

valid