Details

Time bar (total: 2.4s)

sample27.0ms

Algorithm
intervals
Results
10.0ms353×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify124.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune27.0ms

Filtered
14 candidates to 12 candidates (14.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11314
Fresh000
Picked011
Done000
Total11415

Merged error: 0.0b

Counts
15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite22.0ms

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)))
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
37.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify98.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
03121087
110631022
24259952
35001933

prune117.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New96399
Fresh022
Picked101
Done011
Total976103

Merged error: 0.0b

Counts
103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite16.0ms

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

series141.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
36.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify113.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (107.0ms)

IterNodesCost
0178592
1485556
21440540
33985528
45003520

prune101.0ms

Filtered
64 candidates to 56 candidates (12.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh044
Picked011
Done011
Total64670

Merged error: 0.0b

Counts
70 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x.re y.im) (* x.re y.im))
0.3b
(* (* x.im y.re) (* x.im y.re))
2.5b
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
24.7b
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* x.re y.im) (* x.re y.im))
6.0ms
(* (* x.im y.re) (* x.im y.re))
6.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
11.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x.re y.im) (* x.re y.im))
6.0ms
(* (* x.im y.re) (* x.im y.re))
29.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
31.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify76.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0413954
12306805
25002788

prune77.0ms

Filtered
129 candidates to 66 candidates (48.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1281129
Fresh213
Picked011
Done022
Total1305135

Merged error: 0.0b

Counts
135 → 5

regimes442.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

end0.0ms

sample671.0ms

Algorithm
intervals
Results
302.0ms10507×body80valid

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