Details

Time bar (total: 4.0m)

sample7.3s

Algorithm
intervals
Results
7.0s1610×body10240exit
112.0ms256×body80valid

simplify429.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
428.0ms
(* (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))))

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize95.0ms

Local error

Found 4 expressions with local error:

31.2b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
28.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
28.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite66.0ms

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:
Slowest
19.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
19.0ms
(* (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)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
126.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
58.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
48.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.2s

Counts
37 → 75
Calls
37 calls:
Slowest
459.0ms
(* (* (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (* (* y.re y.re) y.re))
400.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
292.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
271.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
224.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.4b

localize85.0ms

Local error

Found 4 expressions with local error:

31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
28.3b
(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
(* (log (- x.re)) y.im)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×pow1
10×associate-*l*
9×*-un-lft-identity add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-*r*
4×log-pow insert-posit16 add-log-exp
3×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 → 67
Calls
4 calls:
Slowest
21.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
9.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
8.0ms
(* (log (- x.re)) y.im)
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series479.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
179.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
144.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
95.0ms
(* (log (- x.re)) y.im)
61.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.2s

Counts
39 → 79
Calls
39 calls:
Slowest
396.0ms
(* (* (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (* (* y.re y.re) y.re))
314.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
281.0ms
(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
273.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
146.0ms
(* -1 (* y.re (log (/ -1 x.re))))

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.5b

localize90.0ms

Local error

Found 4 expressions with local error:

31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
28.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))

rewrite89.0ms

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:
Slowest
30.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
18.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
179.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
168.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
48.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.7s

Counts
22 → 55
Calls
22 calls:
Slowest
303.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
278.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
149.0ms
(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))) (* y.im (log (/ 1 x.re)))))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.5b

localize137.0ms

Local error

Found 4 expressions with local error:

31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
31.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
28.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))

rewrite91.0ms

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:
Slowest
29.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
28.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
28.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
179.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
170.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
62.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.6s

Counts
22 → 55
Calls
22 calls:
Slowest
301.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
200.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
169.0ms
(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
129.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
125.0ms
(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.4b

regimes792.0ms

Accuracy

62.1% (5.0b remaining)

Error of 10.3b against oracle of 5.2b and baseline of 18.5b

bsearch22.0ms

end0.0ms

sample3.6m

Algorithm
intervals
Results
3.5m47629×body10240exit
2.9s8000×body80valid