Details

sample199.0ms

Algorithm

intervals

Results

94.0ms	98×	body	1280	valid
40.0ms	90×	body	640	valid
31.0ms	283×	body	80	valid
12.0ms	36×	body	320	valid
4.0ms	17×	body	160	valid

simplify230.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

229.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin re) (exp im))
0.0b	(fma (sin re) (exp im) (/ (sin re) (exp im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

11.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
61.0ms	(/ (sin re) (exp im))

simplify1.4s

Counts

31 → 47

Calls

31 calls:

Slowest

406.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
347.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
336.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
51.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
21.0ms	(/ (sqrt (sin re)) (* (cbrt (exp im)) (cbrt (exp im))))

prune536.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ (exp im) (sin re)))
0.1b	(/ (exp im) (sin re))
0.0b	(fma (sin re) (exp im) (/ 1 (/ (exp im) (sin re))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 120

Calls

3 calls:

Slowest

12.0ms	(/ 1 (/ (exp im) (sin re)))
7.0ms	(/ (exp im) (sin re))
0.0ms	(fma (sin re) (exp im) (/ 1 (/ (exp im) (sin re))))

series181.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(fma (sin re) (exp im) (/ 1 (/ (exp im) (sin re))))
59.0ms	(/ 1 (/ (exp im) (sin re)))
39.0ms	(/ (exp im) (sin re))

simplify6.9s

Counts

135 → 129

Calls

135 calls:

Slowest

743.0ms	(/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))
511.0ms	(/ (* (* 1 1) 1) (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re))))
372.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
350.0ms	(/ (sqrt 1) (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (sin re)) (cbrt (sin re)))))
307.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (sin re)) (cbrt (sin re)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.4s	2985×	body	1280	valid
2.0s	2533×	body	640	valid
1.9s	8621×	body	80	valid
1.1s	1214×	body	320	valid
183.0ms	607×	body	160	valid