Details

Time bar (total: 7.6s)

sample19.0ms

Algorithm
intervals
Results
7.0ms341×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (* x.re y.re) (* x.im y.im))

simplify984.0ms

Counts
15 → 15
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
033168
190163
2270149
3749149
41675149
done5000149

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite31.0ms

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:
22.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
116.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
111.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01292048
13091899
28381775
322791614
done50001611

prune277.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
10.3b
(/ (* (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))) (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
26.9b
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
26.9b
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
11.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
39.0ms
(/ (* (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))) (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
9.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
10.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
160.0ms
(/ (* (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))) (cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
115.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
118.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify836.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
01613713
14643345
216252638
done50012638

prune374.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite12.0ms

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

series448.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
111.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.4s

Counts
64 → 64
Iterations

Useful iterations: 4 (681.0ms)

IterNodesCost
0701048
11811012
2475944
31251920
42849856
done5000856

prune301.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample491.0ms

Algorithm
intervals
Results
223.0ms10502×body80valid