Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

358×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

2.0ms

(+ (* x.re y.im) (* x.im y.re))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify116.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
0.5b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.5b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x.re y.im) (* x.im y.re))
18.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x.re y.im) (* x.im y.re))
30.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
68.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
69.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	236	768
1	962	698
2	5001	674

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
35.6b	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

2.0ms	(+ (* x.re y.im) (* x.im y.re))
4.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
4.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

series181.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x.re y.im) (* x.im y.re))
117.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
34.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	261	433
1	1260	410
2	5002	402

prune117.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
0.4b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))))
1.0b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
24.8b	(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*r/`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
9×	`associate-l`
8×	`add-exp-log`
7×	`associate-r`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `cube-unmult` `pow-sqr` `pow-prod-up`

Counts

4 → 118

Calls

4 calls:

15.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
21.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))))
2.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms	(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
31.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))))
101.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
126.0ms	(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))

simplify79.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	548	2098
1	2138	2004
2	5001	1960

prune353.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample474.0ms

Algorithm

intervals

Results

226.0ms

10514×

body

valid