Details

Time bar (total: 23.1s)

sample89.0ms

Algorithm
intervals
Results
71.0ms459×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
72992
61223
5597
4245
3121
251
120
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x.re x.re) 3) (* x.im x.im))
0.1b
(* (* x.re x.re) 3)
8.5b
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
6×*-un-lft-identity associate-*r* add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 58
Calls
3 calls:
32.0ms
(- (* (* x.re x.re) 3) (* x.im x.im))
17.0ms
(* (* x.re x.re) 3)
87.0ms
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (* (* x.re x.re) 3) (* x.im x.im))
32.0ms
(* (* x.re x.re) 3)
79.0ms
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))

simplify1.2s

Counts
67 → 67
Iterations
IterNodes
32906
2777
1244
094

prune551.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
8.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite85.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
26.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
21.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series274.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re x.im) (* x.im x.re))
123.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
79.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify6.7s

Counts
83 → 83
Iterations
IterNodes
39978
21788
1408
0139

prune756.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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:
18.0ms
(* (- x.re x.im) x.im)
43.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series608.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (- x.re x.im) x.im)
100.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
386.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
81.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.6s

Counts
112 → 112
Iterations
IterNodes
24328
1744
0214

prune1.0s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

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))))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite74.0ms

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:
40.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
16.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
150.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
144.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
165.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify2.8s

Counts
103 → 103
Iterations
IterNodes
44963
31660
2737
1298
0121

prune1.3s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
217
117
011

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14317×body80valid