Details

sample7.3s

Algorithm

intervals

Results

7.1s	1602×	body	10240	exit
70.0ms	256×	body	80	valid

simplify483.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

482.0ms

(* (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))))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize104.0ms

Local error

Found 4 expressions with local error:

37.5b	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
26.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
26.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)

rewrite94.0ms

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

35.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
22.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
20.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
12.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
127.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
61.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
47.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.1s

Counts

37 → 75

Calls

37 calls:

Slowest

398.0ms	(* (* (* (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.im y.im) y.im))
282.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
277.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
267.0ms	(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

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.7b

localize67.0ms

Local error

Found 4 expressions with local error:

37.3b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
26.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (atan2 x.im x.re) y.re)
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`log-pow` `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 → 66

Calls

4 calls:

Slowest

23.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
15.0ms	(* (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	(* (atan2 x.im x.re) y.re)

series376.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
136.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
43.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
18.0ms	(* (atan2 x.im x.re) y.re)

simplify2.0s

Counts

39 → 78

Calls

39 calls:

Slowest

404.0ms	(* (* (* (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))
287.0ms	(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re))
285.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
222.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
154.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize72.0ms

Local error

Found 4 expressions with local error:

37.3b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
26.5b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (atan2 x.im x.re) y.re)
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`log-pow` `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 → 66

Calls

4 calls:

Slowest

28.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
20.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
20.0ms	(* (atan2 x.im x.re) y.re)
12.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
97.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
58.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
18.0ms	(* (atan2 x.im x.re) y.re)

simplify2.2s

Counts

39 → 78

Calls

39 calls:

Slowest

438.0ms	(* (* (* (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))
320.0ms	(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re))
308.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
273.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
152.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.9b

localize76.0ms

Local error

Found 4 expressions with local error:

37.3b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b	(* (atan2 x.im x.re) y.re)
0.3b	(* (log (- x.re)) y.im)
0.2b	(* (log (- x.re)) y.re)

rewrite72.0ms

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

30.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
15.0ms	(* (log (- x.re)) y.re)
15.0ms	(* (log (- x.re)) y.im)
11.0ms	(* (atan2 x.im x.re) y.re)

series442.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

190.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
120.0ms	(* (log (- x.re)) y.im)
99.0ms	(* (log (- x.re)) y.re)
33.0ms	(* (atan2 x.im x.re) y.re)

simplify1.8s

Counts

40 → 80

Calls

40 calls:

Slowest

330.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.re y.re) y.re))
301.0ms	(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.re y.re) y.re))
289.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
158.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
124.0ms	(* -1 (* y.im (log (/ -1 x.re))))

prune1.2s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 3.8b

Details

sample7.3s

simplify483.0ms

prune24.0ms

localize104.0ms

rewrite94.0ms

series484.0ms

simplify2.1s

prune1.4s

localize67.0ms

rewrite50.0ms

series376.0ms

simplify2.0s

prune1.5s

localize72.0ms

rewrite80.0ms

series394.0ms

simplify2.2s

prune1.7s

localize76.0ms

rewrite72.0ms

series442.0ms

simplify1.8s

prune1.2s

regimes930.0ms