Details

Time bar (total: 2.8s)

sample28.0ms

Algorithm
intervals
Results
8.0ms340×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify114.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune29.0ms

Filtered
14 candidates to 12 candidates (14.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

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

rewrite21.0ms

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:
10.0ms
(* (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)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series155.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
38.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify98.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
03121087
110631022
24259952
35001933

prune343.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh000
Picked011
Done011
Total983101

Merged error: 0.0b

Counts
101 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (- (* x.re y.im) (* x.im y.re)))
12.0b
(/ (* (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
28.0b
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
28.0b
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
15×flip3-- flip--
11×cbrt-prod
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×difference-of-squares
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
25.0ms
(/ (* (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
6.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
6.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

series190.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
68.0ms
(/ (* (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
44.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
42.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

simplify62.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05141850
118261538
250021484

prune611.0ms

Filtered
90 candidates to 77 candidates (14.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0.0b

Counts
93 → 3

regimes382.0ms

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

sample697.0ms

Algorithm
intervals
Results
264.0ms10494×body80valid

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