Details

Time bar (total: 34.9s)

sample57.0ms

Algorithm
intervals
Results
34.0ms433×body80valid

simplify6.0s

Counts
1 → 1
Iterations
IterNodes
done5000
61970
5833
4340
3156
258
121
011

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize57.0ms

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.im)
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.4b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite197.0ms

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*
5×flip3-- flip--
4×frac-sub insert-posit16
3×flip3-+ flip-+
2×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
19.0ms
(- (* x.re x.re) (* x.im x.im))
56.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
75.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series325.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* x.re x.re) (* x.im x.im))
74.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
93.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
105.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify3.8s

Counts
86 → 86
Iterations
IterNodes
done5001
21646
1411
0143

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×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×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
38.0ms
(* (- x.re x.im) x.re)
57.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
113.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
74.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series331.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (- x.re x.im) x.re)
71.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
86.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
116.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify6.8s

Counts
113 → 113
Iterations
IterNodes
done5000
24134
1753
0215

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
49.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
13.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series1.1s

Counts
4 → 12
Calls
4 calls:
352.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
276.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
227.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
250.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify3.9s

Counts
88 → 88
Iterations
IterNodes
done5001
32085
2833
1313
0126

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize208.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.im)
12.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 associate-*l/ add-exp-log insert-posit16 add-log-exp
3×flip3-+ flip-+
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt x.im)
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series1.1s

Counts
4 → 12
Calls
4 calls:
337.0ms
(cbrt x.im)
209.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
249.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
293.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify3.3s

Counts
62 → 62
Iterations
IterNodes
done5000
31621
2575
1245
0110

prune779.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes700.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify20.0ms

Iterations
IterNodes
done29
129
020

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s14413×body80valid