Details

sample278.0ms

Algorithm

intervals

Results

255.0ms

337×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:

14.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify112.0ms

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

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.2b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.0b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.0b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite69.0ms

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))
44.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
8.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x.re y.im) (* x.im y.re))
27.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
60.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
61.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify40.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

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

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

7.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
90.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
90.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
90.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify62.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	238	547
1	684	511
2	2411	491
3	5002	487

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.2b	(pow (sqrt (+ (* x.re y.im) (* x.im y.re))) 4)
1.0b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
13.1b	(sqrt (pow (sqrt (+ (* x.re y.im) (* x.im y.re))) 4))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`sqrt-prod`
15×	`add-sqr-sqrt`
14×	`unpow-prod-down`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-log-exp`
5×	`add-exp-log` `rem-sqrt-square`
4×	`add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2` `sqr-pow`
2×	`flip3-+` `sqrt-div` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log` `sqrt-pow2`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(pow (sqrt (+ (* x.re y.im) (* x.im y.re))) 4)
7.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
19.0ms	(sqrt (pow (sqrt (+ (* x.re y.im) (* x.im y.re))) 4))

series266.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x.re y.im) (* x.im y.re))
150.0ms	(pow (sqrt (+ (* x.re y.im) (* x.im y.re))) 4)
62.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
27.0ms	(sqrt (pow (sqrt (+ (* x.re y.im) (* x.im y.re))) 4))

simplify160.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	246	556
1	977	468
2	4561	444
3	5001	444

prune175.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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

sample545.0ms

Algorithm

intervals

Results

208.0ms

10474×

body

valid