Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

331×

body

valid

simplify3.0ms

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))

rewrite4.0ms

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))

simplify113.0ms

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

3 alts after pruning (2 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))))
2.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite24.0ms

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:

9.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
103.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
101.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
100.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify90.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

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

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (+ (* x.re y.im) (* x.im y.re))) 6)
2.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
26.7b	(cbrt (pow (cbrt (+ (* x.re y.im) (* x.im y.re))) 6))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 65

Calls

4 calls:

5.0ms	(pow (cbrt (+ (* x.re y.im) (* x.im y.re))) 6)
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (pow (cbrt (+ (* x.re y.im) (* x.im y.re))) 6))

series452.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(pow (cbrt (+ (* x.re y.im) (* x.im y.re))) 6)
103.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
102.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
130.0ms	(cbrt (pow (cbrt (+ (* x.re y.im) (* x.im y.re))) 6))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	328	672
1	1077	617
2	5002	562

prune204.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* x.re y.im) (* x.im y.re)) 2)
0.3b	(* (cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 2)) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
26.7b	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `associate-*r/` `pow-prod-down` `flip-+`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

4.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 2)
11.0ms	(* (cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 2)) (cbrt (+ (* x.re y.im) (* x.im y.re))))
6.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 2))

series311.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 2)
30.0ms	(* (cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 2)) (cbrt (+ (* x.re y.im) (* x.im y.re))))
104.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
124.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	430	1006
1	1426	934
2	5001	905

prune266.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes144.0ms

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

sample489.0ms

Algorithm

intervals

Results

235.0ms

10490×

body

valid