Details

Time bar (total: 4.1m)

sample7.0s

Algorithm
intervals
Results
6.7s1495×body10240exit
94.0ms256×body80valid

simplify3.7s

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize66.0ms

Local error

Found 4 expressions with local error:

34.3b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
32.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
32.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)

rewrite53.0ms

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
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
18.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
242.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
144.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
61.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
54.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.2s

Counts
75 → 75

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 15.3b

localize61.0ms

Local error

Found 4 expressions with local error:

34.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
32.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (- x.re)) y.im)
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite47.0ms

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
15.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
11.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
10.0ms
(* (log (- x.re)) y.im)
10.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

series470.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
126.0ms
(* (log (- x.re)) y.im)
120.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
40.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.7s

Counts
79 → 79

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.0b

localize78.0ms

Local error

Found 4 expressions with local error:

34.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b
(* (log (- x.re)) y.im)
0.2b
(* (log (- x.re)) y.re)
0.2b
(* (atan2 x.im x.re) y.im)

rewrite64.0ms

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:
Slowest
25.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
14.0ms
(* (log (- x.re)) y.im)
14.0ms
(* (log (- x.re)) y.re)
10.0ms
(* (atan2 x.im x.re) y.im)

series444.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
201.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
111.0ms
(* (log (- x.re)) y.re)
107.0ms
(* (log (- x.re)) y.im)
24.0ms
(* (atan2 x.im x.re) y.im)

simplify2.0s

Counts
80 → 80

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.9b

localize121.0ms

Local error

Found 4 expressions with local error:

34.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
34.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
34.3b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
32.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))

rewrite73.0ms

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
33.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
19.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
15.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
198.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
182.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
181.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
64.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.9s

Counts
55 → 55

prune1.4s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 5.9b

regimes770.0ms

Accuracy

58.9% (6.3b remaining)

Error of 11.1b against oracle of 4.8b and baseline of 20.1b

bsearch3.5s

end0.0ms

sample3.6m

Algorithm
intervals
Results
3.4m48440×body10240exit
4.1s8000×body80valid