Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms342×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

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

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify118.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune38.0ms

Filtered
14 candidates to 12 candidates (85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))
1.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite28.0ms

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:
19.0ms
(* (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)))
2.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
101.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
102.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
105.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify93.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
03141055
11028988
23721912
35003903

prune258.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×sqrt-div
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-div
1×pow1/3
Counts
4 → 58
Calls
4 calls:
3.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
2.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
71.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
71.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
102.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0238521
1684485
22411473
35002469

prune251.0ms

Filtered
70 candidates to 57 candidates (81.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
2.2b
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
2.5b
(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
33.8b
(/ (+ (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))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
13.0ms
(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
7.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
12.0ms
(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
36.0ms
(/ (+ (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))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
196.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
59.0ms
(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
133.0ms
(/ (+ (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))))

simplify110.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
04361484
125681353
250021348

prune280.0ms

Filtered
103 candidates to 71 candidates (68.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes158.0ms

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

sample492.0ms

Algorithm
intervals
Results
233.0ms10479×body80valid