Details

sample6.8s

Algorithm

intervals

Results

6.5s	1489×	body	10240	exit
68.0ms	256×	body	80	valid

simplify493.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

493.0ms

(* (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))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize85.0ms

Local error

Found 4 expressions with local error:

35.9b	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
28.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
28.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite70.0ms

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

34.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
14.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
11.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
9.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

series405.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

212.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
103.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
48.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
41.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.3s

Counts

37 → 75

Calls

37 calls:

Slowest

443.0ms	(* (* (* (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))
336.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
295.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
268.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
217.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 11.1b

localize82.0ms

Local error

Found 4 expressions with local error:

35.9b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
28.5b	(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)

rewrite67.0ms

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

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)
14.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
13.0ms	(* (log (- x.re)) y.im)

series492.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

203.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
134.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
88.0ms	(* (log (- x.re)) y.im)
67.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.3s

Counts

39 → 79

Calls

39 calls:

Slowest

433.0ms	(* (* (* (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))
425.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
316.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
225.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
151.0ms	(* -1 (* y.im (log (/ -1 x.re))))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize118.0ms

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)))
28.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.6b	(cbrt (log (- x.re)))
0.6b	(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

84.0ms	(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
9.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
2.0ms	(cbrt (log (- x.re)))
1.0ms	(cbrt (log (- x.re)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

491.0ms	(cbrt (log (- x.re)))
437.0ms	(cbrt (log (- x.re)))
187.0ms	(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)))

simplify2.2s

Counts

28 → 63

Calls

28 calls:

Slowest

326.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
299.0ms	(pow (- (log -1) (log (/ 1 x.re))) 1/3)
261.0ms	(pow (- (log -1) (log (/ 1 x.re))) 1/3)
251.0ms	(pow (- (log (/ -1 x.re))) 1/3)
231.0ms	(pow (- (log (/ -1 x.re))) 1/3)

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.0b

localize50.0ms

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)
0.2b	(* (atan2 x.im x.re) y.im)
0.2b	(* (atan2 x.im x.re) y.re)

rewrite44.0ms

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

14.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
11.0ms	(* (atan2 x.im x.re) y.re)
11.0ms	(* (atan2 x.im x.re) y.im)
7.0ms	(* (log (- x.re)) y.im)

series350.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

182.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
118.0ms	(* (log (- x.re)) y.im)
29.0ms	(* (atan2 x.im x.re) y.re)
21.0ms	(* (atan2 x.im x.re) y.im)

simplify1.8s

Counts

40 → 79

Calls

40 calls:

Slowest

403.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
384.0ms	(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re))
341.0ms	(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im))
150.0ms	(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
127.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.9b

Details

sample6.8s

simplify493.0ms

prune12.0ms

localize85.0ms

rewrite70.0ms

series405.0ms

simplify2.3s

prune1.4s

localize82.0ms

rewrite67.0ms

series492.0ms

simplify2.3s

prune1.5s

localize118.0ms

rewrite96.0ms

series1.2s

simplify2.2s

prune1.3s

localize50.0ms

rewrite44.0ms

series350.0ms

simplify1.8s

prune1.1s

regimes758.0ms