Details

sample5.9s

Algorithm

intervals

Results

5.6s	1363×	body	10240	exit
119.0ms	256×	body	80	valid

simplify394.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

393.0ms

(* (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))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize70.0ms

Local error

Found 4 expressions with local error:

32.3b	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
30.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
30.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite79.0ms

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

33.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
18.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
13.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
13.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

210.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
120.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
47.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
42.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.2s

Counts

37 → 75

Calls

37 calls:

Slowest

484.0ms	(* (* (* (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))
335.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
286.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
281.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
223.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 14.4b

localize71.0ms

Local error

Found 4 expressions with local error:

32.4b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
30.7b	(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)

rewrite89.0ms

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

40.0ms	(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)
15.0ms	(* (log (- x.re)) y.im)
13.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

188.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
137.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
105.0ms	(* (log (- x.re)) y.im)
38.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.1s

Counts

39 → 79

Calls

39 calls:

Slowest

391.0ms	(* (* (* (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))
350.0ms	(sqrt (+ (pow (* x.re x.re) 3) (pow (* x.im x.im) 3)))
304.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
224.0ms	(sqrt (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))))
126.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.0b

localize74.0ms

Local error

Found 4 expressions with local error:

32.4b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b	(* (log (- x.re)) y.re)
0.3b	(* (log (- x.re)) y.im)
0.3b	(* (atan2 x.im x.re) y.im)

rewrite50.0ms

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

17.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
13.0ms	(* (log (- x.re)) y.im)
12.0ms	(* (atan2 x.im x.re) y.im)
7.0ms	(* (log (- x.re)) y.re)

series401.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

193.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
91.0ms	(* (log (- x.re)) y.re)
86.0ms	(* (log (- x.re)) y.im)
31.0ms	(* (atan2 x.im x.re) y.im)

simplify2.0s

Counts

40 → 80

Calls

40 calls:

Slowest

383.0ms	(* (* (* (atan2 x.im x.re) (atan2 x.im x.re)) (atan2 x.im x.re)) (* (* y.im y.im) y.im))
381.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.im y.im) y.im))
317.0ms	(* (* (* (log (- x.re)) (log (- x.re))) (log (- x.re))) (* (* y.re y.re) y.re))
145.0ms	(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))
120.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))

prune1.4s

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 8.0b

localize73.0ms

Local error

Found 4 expressions with local error:

32.3b	(sin (+ (* (* (log (- x.re)) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im)) (* (atan2 x.im x.re) y.re)))
0.7b	(cbrt y.im)
0.7b	(cbrt y.im)
0.7b	(cbrt y.im)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`sin-sum`

Counts

4 → 45

Calls

4 calls:

Slowest

159.0ms	(sin (+ (* (* (log (- x.re)) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im)) (* (atan2 x.im x.re) y.re)))
1.0ms	(cbrt y.im)
1.0ms	(cbrt y.im)
1.0ms	(cbrt y.im)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

313.0ms	(cbrt y.im)
295.0ms	(cbrt y.im)
264.0ms	(cbrt y.im)
214.0ms	(sin (+ (* (* (log (- x.re)) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im)) (* (atan2 x.im x.re) y.re)))

simplify998.0ms

Counts

22 → 57

Calls

22 calls:

Slowest

163.0ms	(* (pow (* y.im -1) 1/3) (cbrt -1))
161.0ms	(* (pow (* y.im -1) 1/3) (cbrt -1))
140.0ms	(* (pow (* y.im -1) 1/3) (cbrt -1))
138.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
134.0ms	(sin (- (+ (* (atan2 x.im x.re) y.re) (* y.im (log -1))) (* y.im (log (/ 1 x.re)))))

prune1.2s

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 8.0b

Details

sample5.9s

simplify394.0ms

prune13.0ms

localize70.0ms

rewrite79.0ms

series419.0ms

simplify2.2s

prune1.5s

localize71.0ms

rewrite89.0ms

series468.0ms

simplify2.1s

prune1.7s

localize74.0ms

rewrite50.0ms

series401.0ms

simplify2.0s

prune1.4s

localize73.0ms

rewrite162.0ms

series1.1s

simplify998.0ms

prune1.2s

regimes1.4s