Details

Time bar (total: 4.0m)

sample7.9s

Algorithm
intervals
Results
7.6s1658×body10240exit
109.0ms256×body80valid

simplify239.0ms

Calls
1 calls:
Slowest
238.0ms
(* (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))))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize61.0ms

Local error

Found 4 expressions with local error:

37.0b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (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)))
0.3b
(* (atan2 x.im x.re) y.im)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×sqrt-prod
4×pow1 add-cbrt-cube sqrt-div add-exp-log insert-posit16 add-log-exp
3×associate-*l*
2×rem-sqrt-square flip3-+ pow1/2 flip-+
1×sin-sum *-commutative
Calls
4 calls:
Slowest
37.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
5.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
3.0ms
(* (atan2 x.im x.re) y.im)
2.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series245.0ms

Calls
4 calls:
Slowest
182.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
29.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
19.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
15.0ms
(* (atan2 x.im x.re) y.im)

simplify972.0ms

Calls
27 calls:
Slowest
216.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
184.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
117.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
115.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
84.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 12.0b

localize28.0ms

Local error

Found 4 expressions with local error:

37.0b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (atan2 x.im x.re) y.im)
0.3b
(* (log (- x.re)) y.im)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-prod
2×sqrt-div *-commutative
1×rem-sqrt-square flip3-+ pow1/2 sin-sum log-pow flip-+
Calls
4 calls:
Slowest
21.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
4.0ms
(* (log (- x.re)) y.im)
3.0ms
(* (atan2 x.im x.re) y.im)
2.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series299.0ms

Calls
4 calls:
Slowest
165.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
80.0ms
(* (log (- x.re)) y.im)
30.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
24.0ms
(* (atan2 x.im x.re) y.im)

simplify897.0ms

Calls
23 calls:
Slowest
212.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
148.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
114.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
95.0ms
(* y.im (- (log -1) (log (/ 1 x.re))))
81.0ms
(* -1 (* y.im (log (/ -1 x.re))))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 4 expressions with local error:

37.0b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b
(* (atan2 x.im x.re) y.im)
0.3b
(* (log (- x.re)) y.im)
0.3b
(* (log (- x.re)) y.re)

rewrite41.0ms

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
20.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
7.0ms
(* (log (- x.re)) y.re)
7.0ms
(* (log (- x.re)) y.im)
6.0ms
(* (atan2 x.im x.re) y.im)

series356.0ms

Calls
4 calls:
Slowest
164.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
88.0ms
(* (log (- x.re)) y.re)
82.0ms
(* (log (- x.re)) y.im)
22.0ms
(* (atan2 x.im x.re) y.im)

simplify875.0ms

Calls
19 calls:
Slowest
135.0ms
(* -1 (* y.im (log (/ -1 x.re))))
134.0ms
(* -1 (* y.re (log (/ -1 x.re))))
128.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
104.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
96.0ms
(* y.im (- (log -1) (log (/ 1 x.re))))

prune975.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 4.9b

localize36.0ms

Local error

Found 4 expressions with local error:

37.0b
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
0.5b
(* (cbrt (log (- x.re))) (cbrt (log (- x.re))))
0.5b
(cbrt (log (- x.re)))
0.5b
(cbrt (log (- x.re)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
13×pow1
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l*
6×pow1/3 add-exp-log
4×add-cbrt-cube log-pow insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus sin-sum prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
100.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
13.0ms
(* (cbrt (log (- x.re))) (cbrt (log (- x.re))))
2.0ms
(cbrt (log (- x.re)))
2.0ms
(cbrt (log (- x.re)))

series1.3s

Calls
4 calls:
Slowest
376.0ms
(cbrt (log (- x.re)))
376.0ms
(* (cbrt (log (- x.re))) (cbrt (log (- x.re))))
366.0ms
(cbrt (log (- x.re)))
174.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))

simplify852.0ms

Calls
43 calls:
Slowest
136.0ms
(pow (pow (- (log -1) (log (/ 1 x.re))) 2) 1/3)
108.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
105.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
56.0ms
(pow (pow (log (/ -1 x.re)) 2) 1/3)
51.0ms
(pow (pow (+ (log -1) (log x.re)) 2) 1/3)

prune1.5s

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 4.9b

regimes1.2s

Accuracy

48.2% (5.6b remaining)

Error of 10.4b against oracle of 4.8b and baseline of 15.6b

bsearch13.9s

end0.0ms

sample3.5m

Algorithm
intervals
Results
3.4m47239×body10240exit
3.2s8000×body80valid