Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

342×

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

localize6.0ms

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:

3.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify117.0ms

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

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re x.im) (* y.im x.re))
0.3b	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.8b	(cbrt (pow (+ (* y.re x.im) (* y.im x.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	(+ (* y.re x.im) (* y.im x.re))
4.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
4.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series196.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* y.re x.im) (* y.im x.re))
126.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
37.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	258	431
1	1250	408
2	5001	402

prune119.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
0.3b	(* (cbrt (+ (* y.re x.im) (* y.im x.re))) (cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))))
1.8b	(cbrt (+ (* y.re x.im) (* y.im x.re)))
23.6b	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

rewrite49.0ms

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

series322.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
36.0ms	(* (cbrt (+ (* y.re x.im) (* y.im x.re))) (cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))))
104.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
126.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

simplify79.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	545	2098
1	2134	2004
2	5003	1960

prune350.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ (* y.re x.im) (* y.im x.re)))
1.8b	(cbrt (+ (* y.re x.im) (* y.im x.re)))
1.8b	(cbrt (+ (* y.re x.im) (* y.im x.re)))
23.6b	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
2.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
2.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
6.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
103.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
103.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
125.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	326	748
1	1041	702
2	5001	676

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes151.0ms

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

sample475.0ms

Algorithm

intervals

Results

223.0ms

10519×

body

valid