Details

sample45.0ms

Algorithm

intervals

Results

34.0ms

462×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

19.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
6.0ms	(* x.im (* x.re x.im))
15.0ms	(* 3 (* x.im (* x.re x.im)))

series90.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
17.0ms	(* x.im (* x.re x.im))
23.0ms	(* 3 (* x.im (* x.re x.im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	209	292
1	846	253
2	5002	253

prune103.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

15.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
10.0ms	(* (* 3 x.im) (* x.re x.im))

series73.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
21.0ms	(* (* 3 x.im) (* x.re x.im))

simplify39.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	193	231
1	907	200
2	5001	200

prune69.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-l`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 81

Calls

4 calls:

46.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
6.0ms	(* x.im (* x.re x.im))
16.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
47.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
17.0ms	(* x.im (* x.re x.im))
52.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
79.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	288	589
1	1251	468
2	5001	454

prune162.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x.im (* x.re x.im))
0.2b	(* (sqrt 3) (* x.im (* x.re x.im)))
0.2b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im (* x.re x.im)))))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

70×	`pow1`
65×	`add-exp-log`
46×	`pow-prod-down`
45×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
41×	`add-sqr-sqrt`
40×	`cbrt-prod`
23×	`sqrt-prod`
19×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
12×	`associate-r`
11×	`swap-sqr`
9×	`unswap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 138

Calls

4 calls:

6.0ms	(* x.im (* x.re x.im))
16.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
139.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im (* x.re x.im)))))
9.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series157.0ms

Counts

4 → 10

Calls

4 calls:

20.0ms	(* x.im (* x.re x.im))
49.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
88.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im (* x.re x.im)))))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify70.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	403	1316
1	1870	988
2	5002	840

prune233.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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

sample1.2s

Algorithm

intervals

Results

1.0s

14531×

body

valid