Details

Time bar (total: 4.0m)

sample7.5s

Algorithm
intervals
Results
7.2s1690×body10240exit
126.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
65642
5808
4197
382
253
131
019

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
31.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
31.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.9b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1
8×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube associate-*l* add-exp-log sqrt-prod
4×sqrt-div insert-posit16 add-log-exp
3×sqrt-pow1 pow1/2 associate-*r* log-pow
2×rem-sqrt-square flip3-+ flip-+
1×sin-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
28.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
34.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
50.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
52.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
193.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify2.3s

Counts
75 → 75
Iterations
IterNodes
54236
41770
3917
2464
1224
0108

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 12.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (atan2 x.im x.re) y.re)
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
31.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×pow1
9×*-un-lft-identity associate-*l* add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-*r*
4×insert-posit16 add-log-exp
3×log-pow sqrt-prod
2×sqrt-pow1 pow1/2 sqrt-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×rem-sqrt-square flip3-+ sin-sum flip-+
Counts
4 → 66
Calls
4 calls:
11.0ms
(* (atan2 x.im x.re) y.re)
10.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
14.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (atan2 x.im x.re) y.re)
95.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
50.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
198.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

simplify1.2s

Counts
78 → 78
Iterations
IterNodes
42392
31231
2627
1284
0136

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.4b

localize102.0ms

Local error

Found 4 expressions with local error:

31.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
36.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
36.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sin-sum sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 43
Calls
4 calls:
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
35.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
20.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
14.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
179.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
201.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
207.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

simplify1.3s

Counts
55 → 55
Iterations
IterNodes
53329
41211
3580
2292
1155
079

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (- x.re)) y.im)
0.3b
(* (log (- x.re)) y.re)
0.3b
(* (atan2 x.im x.re) y.re)
36.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×pow1
11×associate-*l*
10×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r*
4×insert-posit16 add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×log-pow
1×sin-sum
Counts
4 → 68
Calls
4 calls:
6.0ms
(* (log (- x.re)) y.im)
8.0ms
(* (log (- x.re)) y.re)
11.0ms
(* (atan2 x.im x.re) y.re)
34.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (log (- x.re)) y.im)
97.0ms
(* (log (- x.re)) y.re)
20.0ms
(* (atan2 x.im x.re) y.re)
205.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

simplify2.5s

Counts
80 → 80
Iterations
IterNodes
53228
41750
31037
2553
1252
0123

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.4b

regimes955.0ms

Accuracy

65.5% (5.1b remaining)

Error of 10.0b against oracle of 4.9b and baseline of 19.7b

bsearch4.0ms

simplify16.0ms

Iterations
IterNodes
242
142
031

end0.0ms

sample3.5m

Algorithm
intervals
Results
3.4m48389×body10240exit
2.8s8000×body80valid