Details

Time bar (total: 4.0m)

sample6.1s

Algorithm
intervals
Results
5.4s1421×body10240exit
525.0ms256×body80valid

simplify395.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
394.0ms
(* (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))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize65.0ms

Local error

Found 4 expressions with local error:

36.0b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
29.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
29.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (atan2 x.im x.re) y.im)

rewrite55.0ms

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 insert-posit16 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 → 60
Calls
4 calls:
Slowest
29.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms
(* (atan2 x.im x.re) y.im)

series338.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
179.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
66.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
63.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
30.0ms
(* (atan2 x.im x.re) y.im)

simplify3.3s

Counts
79 → 72
Calls
79 calls:
Slowest
363.0ms
(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im))
294.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
290.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
275.0ms
(sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))))
252.0ms
(sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))))

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 11.4b

localize59.0ms

Local error

Found 4 expressions with local error:

35.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.6b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (- x.re)) y.im)
0.3b
(* (atan2 x.im x.re) y.im)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
9×*-un-lft-identity add-cube-cbrt
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×associate-*r*
4×insert-posit16 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 log-pow flip-+
Counts
4 → 64
Calls
4 calls:
Slowest
14.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
9.0ms
(* (log (- x.re)) y.im)
7.0ms
(* (atan2 x.im x.re) y.im)
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
115.0ms
(* (log (- x.re)) y.im)
47.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
26.0ms
(* (atan2 x.im x.re) y.im)

simplify3.5s

Counts
80 → 76
Calls
80 calls:
Slowest
409.0ms
(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im))
326.0ms
(sqrt (+ (* (* x.re x.re) (* x.re x.re)) (- (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))))
321.0ms
(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
303.0ms
(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
264.0ms
(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.5b

localize40.0ms

Local error

Found 4 expressions with local error:

35.9b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b
(* (log (- x.re)) y.im)
0.3b
(* (atan2 x.im x.re) y.im)
0.2b
(* (atan2 x.im x.re) y.re)

rewrite51.0ms

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×insert-posit16 add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sin-sum log-pow
Counts
4 → 67
Calls
4 calls:
Slowest
33.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
6.0ms
(* (log (- x.re)) y.im)
5.0ms
(* (atan2 x.im x.re) y.re)
5.0ms
(* (atan2 x.im x.re) y.im)

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
212.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
125.0ms
(* (log (- x.re)) y.im)
31.0ms
(* (atan2 x.im x.re) y.im)
30.0ms
(* (atan2 x.im x.re) y.re)

simplify3.1s

Counts
80 → 79
Calls
80 calls:
Slowest
482.0ms
(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
324.0ms
(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re))
319.0ms
(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im))
235.0ms
(* (* (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.im)) (* (atan2 x.im x.re) y.im))
224.0ms
(* (* (* (log (- x.re)) y.im) (* (log (- x.re)) y.im)) (* (log (- x.re)) y.im))

prune1.4s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 6.4b

localize44.0ms

Local error

Found 4 expressions with local error:

35.9b
(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)))
0.5b
(cbrt (log (- x.re)))
0.5b
(cbrt (log (- x.re)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
7×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3 log-pow
1×sin-sum
Counts
4 → 48
Calls
4 calls:
Slowest
90.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
1.0ms
(cbrt (log (- x.re)))
1.0ms
(cbrt (log (- x.re)))
1.0ms
(cbrt (log (- x.re)))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
512.0ms
(cbrt (log (- x.re)))
470.0ms
(cbrt (log (- x.re)))
446.0ms
(cbrt (log (- x.re)))
192.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))

simplify3.4s

Counts
70 → 60
Calls
70 calls:
Slowest
311.0ms
(pow (- (log (/ -1 x.re))) 1/3)
295.0ms
(pow (- (log (/ -1 x.re))) 1/3)
270.0ms
(pow (- (log -1) (log (/ 1 x.re))) 1/3)
258.0ms
(pow (- (log -1) (log (/ 1 x.re))) 1/3)
243.0ms
(pow (- (log (/ -1 x.re))) 1/3)

prune1.0s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.4b

regimes1.2s

Accuracy

40.7% (9.2b remaining)

Error of 14.2b against oracle of 5.0b and baseline of 20.5b

bsearch4.7s

end0.0ms

sample3.4m

Algorithm
intervals
Results
3.3m47463×body10240exit
2.6s8000×body80valid