Details

Time bar (total: 16.2s)

sample52.0ms

Algorithm
intervals
Results
40.0ms446×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
73474
61380
5676
4299
3158
279
142
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.2b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite81.0ms

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-+ insert-posit16 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 → 73
Calls
4 calls:
7.0ms
(- (* x.re x.re) (* x.im x.im))
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
25.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
31.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series239.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* x.re x.re) (* x.im x.im))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
87.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
74.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify616.0ms

Counts
85 → 85
Iterations
IterNodes
22048
1665
0142

prune894.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

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
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
22.0ms
(* (- x.re x.im) x.im)
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
37.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series250.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (- x.re x.im) x.im)
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
99.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
88.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.6s

Counts
112 → 112
Iterations
IterNodes
24852
11134
0214

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

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))

rewrite43.0ms

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 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 → 105
Calls
4 calls:
33.0ms
(* (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))

series726.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
195.0ms
(cbrt (- x.re x.im))
198.0ms
(cbrt (- x.re x.im))
182.0ms
(cbrt (- x.re x.im))

simplify762.0ms

Counts
117 → 117
Iterations
IterNodes
32005
2998
1531
0133

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
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 insert-posit16 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 → 77
Calls
4 calls:
7.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.5s

Counts
4 → 12
Calls
4 calls:
666.0ms
(* (cbrt x.im) (cbrt x.im))
241.0ms
(cbrt x.im)
284.0ms
(cbrt x.im)
264.0ms
(cbrt x.im)

simplify1.1s

Counts
89 → 89
Iterations
IterNodes
42973
31014
2424
1239
063

prune983.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
217
117
011

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.1s14340×body80valid