Details

sample231.0ms

Algorithm

intervals

Results

105.0ms	95×	body	1280	valid
46.0ms	79×	body	640	valid
34.0ms	277×	body	80	valid
20.0ms	47×	body	320	valid
5.0ms	20×	body	160	valid

simplify210.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

209.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

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)))

rewrite30.0ms

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

28.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

100.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
65.0ms	(/ (sin re) (exp im))

simplify1.4s

Counts

31 → 47

Calls

31 calls:

Slowest

443.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
388.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
337.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
36.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
18.0ms	(/ 1 (* (cbrt (exp im)) (cbrt (exp im))))

prune487.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
0.0b	(+ (exp (- 0 im)) (exp im))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 55

Calls

2 calls:

Slowest

167.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
66.0ms	(+ (exp (- 0 im)) (exp im))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
36.0ms	(+ (exp (- 0 im)) (exp im))

simplify3.6s

Counts

35 → 61

Calls

35 calls:

Slowest

475.0ms	(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
413.0ms	(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
307.0ms	(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
246.0ms	(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))
219.0ms	(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))

prune716.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

3.8s	3020×	body	1280	valid
2.3s	8422×	body	80	valid
1.8s	2501×	body	640	valid
727.0ms	1224×	body	320	valid
268.0ms	629×	body	160	valid