Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

343×

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))

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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify114.0ms

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.0b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.0b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.0b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
102.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
97.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
98.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	314	1055
1	1028	988
2	3721	912
3	5003	903

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series620.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
108.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
105.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
103.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	179	560
1	465	524
2	1244	500
3	2932	496
4	5001	488

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series403.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
103.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
99.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
102.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify89.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	179	560
1	465	524
2	1244	500
3	2932	496
4	5001	488

prune303.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes182.0ms

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

sample481.0ms

Algorithm

intervals

Results

232.0ms

10486×

body

valid