Details

Time bar (total: 3.7m)

sample6.4s

Algorithm
intervals
Results
6.1s1324×body10240exit
102.0ms256×body80valid

simplify185.0ms

Calls
1 calls:
Slowest
184.0ms
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize58.0ms

Local error

Found 4 expressions with local error:

35.2b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
29.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
29.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×sqrt-prod
5×pow1 associate-*l*
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16 add-log-exp
3×pow1/2
2×rem-sqrt-square flip3-+ log-pow flip-+
1×sin-sum *-commutative
Calls
4 calls:
Slowest
12.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
8.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
4.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
3.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series341.0ms

Calls
4 calls:
Slowest
193.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
87.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
30.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
30.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.1s

Calls
27 calls:
Slowest
203.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
197.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
121.0ms
(* -1 (* y.re (log (/ -1 x.re))))
110.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
94.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 11.2b

localize35.0ms

Local error

Found 4 expressions with local error:

35.1b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
0.3b
(* (atan2 x.im x.re) y.re)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*l*
7×*-un-lft-identity add-cube-cbrt
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-prod
2×pow1/2 sqrt-div log-pow *-commutative
1×rem-sqrt-square flip3-+ sin-sum flip-+
Calls
4 calls:
Slowest
21.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
8.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
6.0ms
(* (atan2 x.im x.re) y.re)
4.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series284.0ms

Calls
4 calls:
Slowest
160.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
79.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
32.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
13.0ms
(* (atan2 x.im x.re) y.re)

simplify984.0ms

Calls
23 calls:
Slowest
245.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
145.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
124.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
119.0ms
(* -1 (* y.re (log (/ -1 x.re))))
98.0ms
(* -1 (* y.re (log (/ 1 x.re))))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 4 expressions with local error:

35.1b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
35.1b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
35.1b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sin-sum sqrt-prod
2×sqrt-div
1×rem-sqrt-square flip3-+ pow1/2 flip-+
Calls
4 calls:
Slowest
25.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
21.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
21.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
4.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series461.0ms

Calls
4 calls:
Slowest
154.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
150.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
127.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
30.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.3s

Calls
21 calls:
Slowest
207.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
144.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
140.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
135.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
132.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.4b

localize19.0ms

Local error

Found 4 expressions with local error:

35.1b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b
(* (atan2 x.im x.re) y.re)
0.3b
(* (log (- x.re)) y.re)
0.2b
(* (log (- x.re)) y.im)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×*-commutative
2×log-pow
1×sin-sum
Calls
4 calls:
Slowest
10.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
3.0ms
(* (log (- x.re)) y.re)
3.0ms
(* (log (- x.re)) y.im)
3.0ms
(* (atan2 x.im x.re) y.re)

series344.0ms

Calls
4 calls:
Slowest
172.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
77.0ms
(* (log (- x.re)) y.im)
74.0ms
(* (log (- x.re)) y.re)
22.0ms
(* (atan2 x.im x.re) y.re)

simplify770.0ms

Calls
19 calls:
Slowest
120.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
120.0ms
(* -1 (* y.im (log (/ -1 x.re))))
110.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
109.0ms
(* -1 (* y.re (log (/ -1 x.re))))
74.0ms
(* y.im (- (log -1) (log (/ 1 x.re))))

prune918.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 6.3b

regimes862.0ms

Accuracy

59.8% (5.2b remaining)

Error of 9.9b against oracle of 4.7b and baseline of 17.6b

bsearch22.0ms

end0.0ms

sample3.4m

Algorithm
intervals
Results
3.3m46937×body10240exit
3.1s8000×body80valid