Details

Time bar (total: 23.8s)

sample85.0ms

Algorithm
intervals
Results
67.0ms474×body80valid

simplify1.9s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize31.0ms

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))
7.2b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite114.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
26.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
50.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series262.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re x.im) (* x.im x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
103.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
91.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify6.6s

Counts
83 → 83
Iterations
IterNodes
38079
21789
1407
0139

prune934.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

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:
17.0ms
(* (- x.re x.im) x.im)
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
37.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
68.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series255.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- x.re x.im) x.im)
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
86.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
107.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.4s

Counts
112 → 112
Iterations
IterNodes
24323
1744
0214

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

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))))
11.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
11.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
11.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite67.0ms

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:
54.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
125.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
178.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
130.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify3.1s

Counts
103 → 103
Iterations
IterNodes
44963
31660
2737
1298
0121

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2)
11.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
11.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
11.5b
(cbrt (* x.re x.im))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt 2)
15.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
3.0ms
(cbrt (* x.re x.im))

series338.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt 2)
110.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
145.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
82.0ms
(cbrt (* x.re x.im))

simplify1.1s

Counts
60 → 60
Iterations
IterNodes
42622
31102
2450
1196
091

prune902.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
226
126
018

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.8s14422×body80valid