Details

sample320.0ms

Algorithm

intervals

Results

158.0ms	105×	body	1280	valid
62.0ms	78×	body	640	valid
45.0ms	264×	body	80	valid
24.0ms	44×	body	320	valid
8.0ms	23×	body	160	valid

simplify204.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

203.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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

18.0ms	(/ (sin re) (exp im))
3.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

92.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
37.0ms	(/ (sin re) (exp im))

simplify1.4s

Counts

31 → 47

Calls

31 calls:

Slowest

408.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
403.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
371.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
47.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
23.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) 1)

prune526.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp im)) (cbrt (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

24.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
4.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(cbrt (exp im))
133.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
102.0ms	(cbrt (exp im))
84.0ms	(cbrt (exp im))

simplify1.0s

Counts

65 → 97

Calls

65 calls:

Slowest

127.0ms	(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))
124.0ms	(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))
109.0ms	(* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))))
99.0ms	(+ (* 2/9 (pow im 2)) (+ (* 2/3 im) 1))
79.0ms	(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.5s	3023×	body	1280	valid
2.3s	8533×	body	80	valid
1.8s	2471×	body	640	valid
530.0ms	1228×	body	320	valid
166.0ms	607×	body	160	valid