Details

Time bar (total: 1.2m)

sample47.0ms

Algorithm
intervals
Results
28.0ms443×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: done (6.2s)

IterNodesCost
01119
12519
215817
3118715
done500013

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.4b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
7×associate-*l*
6×associate-*r*
5×flip3-+ flip-+
4×frac-add
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 67
Calls
4 calls:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
24.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
55.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series234.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x.re x.im) (* x.im x.re))
92.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
75.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify20.7s

Counts
79 → 79
Iterations

Useful iterations: done (20.7s)

IterNodesCost
01351507
18821379
done50011059

prune284.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x.re x.im) x.im)
0.2b
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.3b
(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
12×frac-times associate-*l*
10×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
28.0ms
(* (- x.re x.im) x.im)
45.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
74.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series276.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- x.re x.im) x.im)
104.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
105.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify33.1s

Counts
108 → 108
Iterations

Useful iterations: done (33.1s)

IterNodesCost
02102695
113632471
done50002013

prune464.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
12.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
12.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
12.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-- flip3-+ flip-- flip-+
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
117.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
39.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
35.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
55.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series903.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
213.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
219.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
237.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.4s

Counts
174 → 174
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02706030
19785683
done50005459

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
76.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
5.0ms
(cbrt (- x.re x.im))
4.0ms
(cbrt (- x.re x.im))
5.0ms
(cbrt (- x.re x.im))

series868.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
218.0ms
(cbrt (- x.re x.im))
252.0ms
(cbrt (- x.re x.im))
208.0ms
(cbrt (- x.re x.im))

simplify5.4s

Counts
113 → 113
Iterations

Useful iterations: done (5.4s)

IterNodesCost
01311384
16411281
done50001198

prune545.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
12142
done2142

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s14404×body80valid