Details

Time bar (total: 3.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

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
9×*-un-lft-identity
4×associate-*l* distribute-lft-out
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
15.0ms
(+ (* 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))

simplify109.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09286
132379
293779
3269779
4500179

prune26.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
1.6b
(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
1.8b
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
39.3b
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
490×*-un-lft-identity
327×associate-*l*
196×distribute-lft-out
144×times-frac
112×unpow-prod-down
56×pow-unpow sum-cubes
53×add-sqr-sqrt
34×add-cube-cbrt
14×associate-*r*
12×associate-/r* associate-/l*
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp unswap-sqr
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+ distribute-lft-out-- difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ *-commutative associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
Counts
4 → 273
Calls
4 calls:
80.0ms
(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
21.0ms
(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
23.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
108.0ms
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
59.0ms
(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
202.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
138.0ms
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

simplify147.0ms

Algorithm
egg-herbie
Counts
285 → 285
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
06034538
129864248
250014233

prune281.0ms

Filtered
285 candidates to 95 candidates (33.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2841285
Fresh000
Picked011
Done011
Total2843287

Merged error: 0b

Counts
287 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

14.7b
(/ (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (pow (* x.re y.im) 2)) (cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))))
27.7b
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))
27.7b
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))
27.7b
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
228×associate-*l*
138×distribute-lft-out
120×cbrt-prod
90×times-frac
37×add-sqr-sqrt add-cube-cbrt
15×associate-/r*
8×cbrt-div
7×add-cbrt-cube
6×add-exp-log associate-/l*
5×flip3-+ flip-+
4×pow1 add-log-exp
3×pow1/3
2×cbrt-undiv associate-/r/ associate-/l/
1×frac-2neg div-exp clear-num div-inv
Counts
4 → 194
Calls
4 calls:
133.0ms
(/ (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (pow (* x.re y.im) 2)) (cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))))
80.0ms
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))
80.0ms
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))
82.0ms
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(/ (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (pow (* x.re y.im) 2)) (cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))))
162.0ms
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))
165.0ms
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))
163.0ms
(cbrt (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

simplify89.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04114671
114884205
250024158

prune333.0ms

Filtered
206 candidates to 90 candidates (43.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2060206
Fresh000
Picked011
Done022
Total2063209

Merged error: 0b

Counts
209 → 3

regimes139.0ms

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)

IterNodesCost
0103
1103

end0.0ms

sample474.0ms

Algorithm
intervals
Results
231.0ms10356×body80valid