Details

Time bar (total: 29.9s)

sample247.0ms

Algorithm
intervals
Results
91.0ms73×body1280valid
29.0ms258×body80valid
17.0ms29×body640valid
8.0ms22×body320valid
2.0ms11×body160valid
2.0ms1×body2560valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5001
5808
4197
382
253
131
019

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize73.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (atan2 x.im x.re) y.re)
29.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
29.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
33.6b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log sqrt-prod
4×sqrt-div add-log-exp
3×associate-*r* associate-*l*
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
1×sin-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 56
Calls
4 calls:
8.0ms
(* (atan2 x.im x.re) y.re)
23.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
13.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
30.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (atan2 x.im x.re) y.re)
48.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
55.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
250.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify2.2s

Counts
68 → 68
Iterations
IterNodes
done5001
42015
3849
2422
1200
097

prune673.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.4b

localize157.0ms

Local error

Found 4 expressions with local error:

29.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
33.6b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
33.6b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
33.6b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log add-log-exp
3×sin-sum sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 39
Calls
4 calls:
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
14.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
27.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
29.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
205.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
233.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
279.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify3.1s

Counts
51 → 51
Iterations
IterNodes
done5000
53680
41190
3540
2268
1144
071

prune759.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.4b

localize66.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (atan2 x.im x.re) y.im)
1.8b
(* (atan2 x.im x.re) y.re)
18.4b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-*r* associate-*l*
4×add-log-exp
3×sqrt-prod
2×sqrt-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sin-sum flip-+
Counts
4 → 59
Calls
4 calls:
6.0ms
(* (atan2 x.im x.re) y.im)
7.0ms
(* (atan2 x.im x.re) y.re)
32.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series359.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (atan2 x.im x.re) y.im)
32.0ms
(* (atan2 x.im x.re) y.re)
250.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
43.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.8s

Counts
71 → 71
Iterations
IterNodes
done5000
43129
31266
2562
1257
0125

prune707.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.2b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (- x.re)) y.re)
1.1b
(* (atan2 x.im x.re) y.im)
1.8b
(* (atan2 x.im x.re) y.re)
18.4b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×pow1
10×*-un-lft-identity add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
9×associate-*r*
4×add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sin-sum log-pow
Counts
4 → 63
Calls
4 calls:
15.0ms
(* (log (- x.re)) y.re)
11.0ms
(* (atan2 x.im x.re) y.im)
11.0ms
(* (atan2 x.im x.re) y.re)
25.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (log (- x.re)) y.re)
33.0ms
(* (atan2 x.im x.re) y.im)
33.0ms
(* (atan2 x.im x.re) y.re)
226.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

simplify3.1s

Counts
75 → 75
Iterations
IterNodes
done5002
43399
31331
2550
1241
0118

prune621.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 11.2b

regimes1.2s

Accuracy

74.3% (5.3b remaining)

Error of 18.4b against oracle of 13.1b and baseline of 33.8b

bsearch509.0ms

Steps
ItersRangePoint
8
-1.9669057843849594e-307
1.7581278845975106e-307
3.1386120183459e-310
9
-1.2892390494572937e-210
-1.0989987604453224e-219
-5.4708088011940997e-216

simplify20.0ms

Iterations
IterNodes
done48
148
036

end0.0ms

sample8.5s

Algorithm
intervals
Results
3.8s2111×body1280valid
1.9s7906×body80valid
1.7s1489×body640valid
295.0ms558×body320valid
133.0ms232×body160valid
92.0ms40×body2560valid