Details

Time bar (total: 27.3s)

sample82.0ms

Algorithm
intervals
Results
67.0ms481×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
75532
61936
5833
4340
3156
258
121
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize50.0ms

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)
7.9b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite99.0ms

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-+ insert-posit16 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 → 72
Calls
4 calls:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
33.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series233.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x.re x.im) (* x.im x.re))
82.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
80.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify6.4s

Counts
84 → 84
Iterations
IterNodes
38991
21740
1403
0140

prune685.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite152.0ms

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 insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
14.0ms
(+ (* 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))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
40.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series198.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* x.re x.im) (* x.im x.re))
67.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
58.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
24315
1723
0202

prune973.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))))
15.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
15.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
15.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite89.0ms

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:
64.0ms
(* (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)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
9.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
157.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
138.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
111.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify2.6s

Counts
103 → 103
Iterations
IterNodes
44963
31660
2737
1298
0121

prune1.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
24.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.6b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite114.0ms

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:
68.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series672.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
154.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
160.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
161.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify3.4s

Counts
88 → 88
Iterations
IterNodes
45137
31827
2780
1308
0126

prune1.1s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
216
116
011

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.4s14415×body80valid