Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

334×

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify119.0ms

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

prune30.0ms

Pruning

2 alts after pruning (1 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))))
0.4b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.4b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite75.0ms

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:

8.0ms	(+ (* x.re y.im) (* x.im y.re))
45.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
11.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
8.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x.re y.im) (* x.im y.re))
34.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
76.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
77.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

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

prune200.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3) (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))))
0.3b	(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
0.4b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.4b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

79.0ms	(* (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3) (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))))
13.0ms	(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
10.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
8.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3) (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))))
159.0ms	(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
76.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
77.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify79.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	488	1751
1	2140	1444
2	5001	1295

prune336.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

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

sample562.0ms

Algorithm

intervals

Results

216.0ms

10407×

body

valid