Details

Time bar (total: 23.5s)

sample63.0ms

Algorithm
intervals
Results
38.0ms489×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
51115
4335
3127
251
120
011

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*l*
6×associate-*r*
4×flip3-+ flip3-- frac-add flip-+ flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 69
Calls
4 calls:
6.0ms
(- (* x.re x.re) (* x.im x.im))
24.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series254.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* x.re x.re) (* x.im x.im))
97.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
81.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.4s

Counts
81 → 81
Iterations
IterNodes
done5001
23220
1437
0138

prune480.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x.re x.im) x.im)
0.1b
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
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:
22.0ms
(* (- x.re x.im) x.im)
40.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
79.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series264.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.im)
73.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
107.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done5001
1746
0210

prune799.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
50.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))

series1.2s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
231.0ms
(cbrt (+ x.re x.im))
215.0ms
(cbrt (+ x.re x.im))
494.0ms
(cbrt (+ x.re x.im))

simplify1.3s

Counts
107 → 107
Iterations
IterNodes
done5001
21127
1278
0116

prune777.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))) (cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))))
14.9b
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
14.9b
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
14.9b
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))

rewrite611.0ms

Algorithm
rewrite-expression-head
Rules
1330×associate-*l/
738×cbrt-div
656×frac-add
652×frac-times
615×flip3-+ flip-+
246×flip3-- flip--
182×associate-*r/
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 487
Calls
4 calls:
344.0ms
(* (cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))) (cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))))
56.0ms
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
26.0ms
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
48.0ms
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))

series894.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))) (cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))))
240.0ms
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
216.0ms
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
213.0ms
(cbrt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))

simplify2.5s

Counts
499 → 499
Iterations
IterNodes
done5001
11490
0933

prune5.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done25
325
223
121
014

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.0s14252×body80valid