Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

333×

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:

7.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ (* 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

prune47.0ms

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))
0.2b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite68.0ms

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:

7.0ms	(+ (* x.re y.im) (* x.im y.re))
41.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
10.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series181.0ms

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))))
63.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
63.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

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

prune356.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3))
0.4b	(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-l` `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×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 150

Calls

4 calls:

70.0ms	(* (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3))
11.0ms	(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
7.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
10.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3))
124.0ms	(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
63.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
63.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify79.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	483	2089
1	2187	1463
2	5002	1316

prune590.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 4)
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

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

series316.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(pow (cbrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 4)
60.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
62.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
62.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify113.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	312	633
1	991	588
2	3809	572
3	5001	572

prune573.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes202.0ms

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

sample660.0ms

Algorithm

intervals

Results

406.0ms

10480×

body

valid