Details

Time bar (total: 15.1s)

sample92.0ms

Algorithm
intervals
Results
73.0ms459×body80valid

simplify1.5s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3 (* x.re x.re))
7.1b
(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative insert-posit16 add-log-exp unswap-sqr
1×flip3-- flip--
Counts
2 → 45
Calls
2 calls:
15.0ms
(* 3 (* x.re x.re))
60.0ms
(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* 3 (* x.re x.re))
70.0ms
(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

simplify1.2s

Counts
51 → 51
Iterations
IterNodes
done2000
32000
2812
1233
082

prune418.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.0b

localize28.0ms

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))
7.1b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite103.0ms

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))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
34.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series243.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x.re x.im) (* x.im x.re))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
93.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
77.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.4s

Counts
83 → 83
Iterations
IterNodes
done2004
32004
21693
1409
0139

prune749.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite132.0ms

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:
15.0ms
(* (- x.re x.im) x.im)
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
42.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
47.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series311.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- x.re x.im) x.im)
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
123.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
93.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done2004
22004
1746
0214

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.re) (cbrt x.re))
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
8.0ms
(* (cbrt x.re) (cbrt x.re))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series1.1s

Counts
4 → 12
Calls
4 calls:
295.0ms
(* (cbrt x.re) (cbrt x.re))
288.0ms
(cbrt x.re)
245.0ms
(cbrt x.re)
279.0ms
(cbrt x.re)

simplify1.2s

Counts
89 → 89
Iterations
IterNodes
done2007
42007
31039
2380
1138
063

prune984.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14238×body80valid