Details

Time bar (total: 16.4s)

sample103.0ms

Algorithm
intervals
Results
84.0ms466×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2060
72060
61214
5597
4245
3121
251
120
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize25.0ms

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.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))
8.4b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite95.0ms

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-add insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
19.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series269.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.im x.re))
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
109.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
79.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done2004
32004
21693
1409
0139

prune885.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×+-commutative sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
48.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
57.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series254.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
105.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
103.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.2s

Counts
101 → 101
Iterations
IterNodes
done2008
22008
1718
0201

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
24.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.1b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite92.0ms

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:
47.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series620.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
157.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
126.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
137.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.1s

Counts
88 → 88
Iterations
IterNodes
done2001
32001
2832
1313
0126

prune1.3s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
12.0b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.0b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.0b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* 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 → 91
Calls
4 calls:
58.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
14.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series627.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
161.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
150.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
146.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify956.0ms

Counts
103 → 103
Iterations
IterNodes
done2001
32001
2802
1300
0121

prune1.2s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.7s14409×body80valid