Details

Time bar (total: 29.4s)

sample7.6s

Algorithm
intervals
Results
7.3s1769×body10240exit
71.0ms256×body80valid

simplify4.0s

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize98.0ms

Local error

Found 4 expressions with local error:

32.6b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
29.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
29.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite62.0ms

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
27.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
20.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

series526.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
265.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
145.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
61.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
54.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.5s

Counts
75 → 75

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 11.8b

localize91.0ms

Local error

Found 4 expressions with local error:

32.4b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.0b
(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)

rewrite82.0ms

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
28.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
20.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
19.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
13.0ms
(* (log (- x.re)) y.im)

series474.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
185.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
118.0ms
(* (log (- x.re)) y.im)
117.0ms
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
55.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.1s

Counts
79 → 79

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize102.0ms

Local error

Found 4 expressions with local error:

32.4b
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
29.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.5b
(cbrt (log (- x.re)))
0.5b
(cbrt (log (- x.re)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-sqr-sqrt
7×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-prod
2×pow1/3 sqrt-div log-pow
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sin-sum flip-+
Counts
4 → 51
Calls
4 calls:
Slowest
87.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
7.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
1.0ms
(cbrt (log (- x.re)))
1.0ms
(cbrt (log (- x.re)))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
513.0ms
(cbrt (log (- x.re)))
416.0ms
(cbrt (log (- x.re)))
167.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
47.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.1s

Counts
63 → 63

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize106.0ms

Local error

Found 4 expressions with local error:

32.5b
(sin (+ (* (* (cbrt (log (- x.re))) (* (* (cbrt (cbrt (log (- x.re)))) (cbrt (cbrt (log (- x.re))))) (cbrt (cbrt (log (- x.re)))))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
29.0b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.5b
(cbrt (log (- x.re)))
0.5b
(cbrt (log (- x.re)))

rewrite647.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-sqr-sqrt
7×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-prod
2×pow1/3 sqrt-div log-pow
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sin-sum flip-+
Counts
4 → 51
Calls
4 calls:
Slowest
638.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (* (* (cbrt (cbrt (log (- x.re)))) (cbrt (cbrt (log (- x.re))))) (cbrt (cbrt (log (- x.re)))))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
1.0ms
(cbrt (log (- x.re)))
1.0ms
(cbrt (log (- x.re)))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
522.0ms
(cbrt (log (- x.re)))
469.0ms
(cbrt (log (- x.re)))
187.0ms
(sin (+ (* (* (cbrt (log (- x.re))) (* (* (cbrt (cbrt (log (- x.re)))) (cbrt (cbrt (log (- x.re))))) (cbrt (cbrt (log (- x.re)))))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
50.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify949.0ms

Counts
63 → 63

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

regimes569.0ms