Details

Time bar (total: 10.3s)

sample43.0ms

Algorithm
intervals
Results
26.0ms331×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 12
Calls
1 calls:
11.0ms
(+ (* x.re y.im) (* x.im y.re))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify2.4s

Counts
15 → 15
Iterations
IterNodes
done5000
42454
3930
2339
1102
033

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.2b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
52.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
7.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
108.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
154.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
124.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify2.0s

Counts
103 → 103
Iterations
IterNodes
done5001
32460
2922
1335
0128

prune611.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
0.4b
(* (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.2b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
24.8b
(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
40×flip3-+ flip-+
36×frac-times
20×add-sqr-sqrt
18×associate-*l/
13×cbrt-prod pow1
12×*-un-lft-identity associate-*r/ add-cube-cbrt
9×associate-*r*
8×add-exp-log
7×associate-*l*
6×add-cbrt-cube
5×unswap-sqr
4×pow1/3 insert-posit16 add-log-exp
3×swap-sqr pow-prod-down
2×prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 122
Calls
4 calls:
37.0ms
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
81.0ms
(* (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
8.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
30.0ms
(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))

series395.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
36.0ms
(* (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
122.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
177.0ms
(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))

simplify1.7s

Counts
134 → 134
Iterations
IterNodes
done5000
22139
1603
0221

prune838.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
662.0ms10344×body80valid