Details

Time bar (total: 15.3s)

sample66.0ms

Algorithm
intervals
Results
41.0ms453×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
51689
4447
3160
258
121
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.1b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite134.0ms

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-sub flip-+ flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 68
Calls
4 calls:
12.0ms
(+ (* x.re x.im) (* x.im x.re))
47.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
39.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series212.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re x.im) (* x.im x.re))
73.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
74.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.8s

Counts
80 → 80
Iterations
IterNodes
done5001
22778
1413
0136

prune497.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 86
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
64.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
43.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series228.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
77.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
53.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
72.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify394.0ms

Counts
98 → 98
Iterations
IterNodes
done5000
1723
0198

prune560.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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:
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.im x.re))
49.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

series900.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (+ x.re x.im))
224.0ms
(cbrt (+ x.re x.im))
198.0ms
(cbrt (+ x.im x.re))
273.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

simplify843.0ms

Counts
107 → 107
Iterations
IterNodes
done5001
21496
1365
0154

prune673.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x.re x.im))
0.6b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
0.6b
(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))
0.9b
(pow (cbrt (cbrt (+ x.im x.re))) (+ 3 1))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
37×*-un-lft-identity
34×cbrt-div
25×add-sqr-sqrt
17×add-cube-cbrt
13×flip3-+ flip-+
12×pow1
10×unpow-prod-down
9×pow1/3 swap-sqr distribute-lft-out
8×frac-times
7×associate-*r* associate-*l* add-exp-log
4×pow-unpow add-cbrt-cube associate-*l/ associate-*r/ add-log-exp unswap-sqr
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp unpow-prod-up pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 111
Calls
4 calls:
3.0ms
(cbrt (+ x.re x.im))
38.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
19.0ms
(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))
18.0ms
(pow (cbrt (cbrt (+ x.im x.re))) (+ 3 1))

series1.4s

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (+ x.re x.im))
254.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
465.0ms
(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))
549.0ms
(pow (cbrt (cbrt (+ x.im x.re))) (+ 3 1))

simplify1.7s

Counts
123 → 123
Iterations
IterNodes
done5000
22622
1574
0227

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done20
320
218
116
011

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s14556×body80valid