Details

Time bar (total: 27.4s)

sample365.0ms

Algorithm
intervals
Results
79.0ms73×body1280valid
42.0ms258×body80valid
25.0ms29×body640valid
13.0ms22×body320valid
4.0ms11×body160valid
2.0ms1×body2560valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
51115
4236
385
253
131
019

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize75.0ms

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)))

rewrite44.0ms

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:
6.0ms
(* (atan2 x.im x.re) y.re)
13.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
7.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
16.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (atan2 x.im x.re) y.re)
39.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
70.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
264.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify1.9s

Counts
68 → 68
Iterations
IterNodes
done5000
32557
2543
1200
097

prune625.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.4b

localize207.0ms

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)))

rewrite90.0ms

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:
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
26.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
25.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
25.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series759.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
226.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
223.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
262.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify1.4s

Counts
51 → 51
Iterations
IterNodes
done5001
41892
3654
2294
1144
071

prune732.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.4b

localize101.0ms

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)))

rewrite60.0ms

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:
10.0ms
(* (atan2 x.im x.re) y.im)
11.0ms
(* (atan2 x.im x.re) y.re)
23.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series355.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (atan2 x.im x.re) y.im)
20.0ms
(* (atan2 x.im x.re) y.re)
246.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
59.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify4.2s

Counts
71 → 71
Iterations
IterNodes
done5000
34828
2750
1257
0125

prune683.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.2b

localize50.0ms

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)))

rewrite34.0ms

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:
7.0ms
(* (log (- x.re)) y.re)
5.0ms
(* (atan2 x.im x.re) y.im)
5.0ms
(* (atan2 x.im x.re) y.re)
15.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (log (- x.re)) y.re)
23.0ms
(* (atan2 x.im x.re) y.im)
25.0ms
(* (atan2 x.im x.re) y.re)
214.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

simplify1.0s

Counts
75 → 75
Iterations
IterNodes
done5000
2844
1241
0118

prune647.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 11.2b

regimes1.6s

Accuracy

74.3% (5.3b remaining)

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

bsearch372.0ms

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

simplify10.0ms

Iterations
IterNodes
done48
148
036

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.8s2111×body1280valid
1.7s7906×body80valid
1.3s1489×body640valid
808.0ms558×body320valid
115.0ms40×body2560valid
76.0ms232×body160valid