Details

sample282.0ms

Algorithm

intervals

Results

95.0ms	88×	body	1280	valid
77.0ms	296×	body	80	valid
58.0ms	86×	body	640	valid
21.0ms	45×	body	320	valid
7.0ms	22×	body	160	valid

simplify202.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

201.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* 0.5 (sin re)) (exp im))
0.0b	(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
0.0b	(* (exp im) (* 0.5 (sin re)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`associate-/r` `times-frac` `associate-l*` `pow-prod-down` `insert-posit16`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-r` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 53

Calls

3 calls:

Slowest

43.0ms	(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
21.0ms	(* (exp im) (* 0.5 (sin re)))
14.0ms	(/ (* 0.5 (sin re)) (exp im))

series316.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

151.0ms	(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
89.0ms	(* (exp im) (* 0.5 (sin re)))
76.0ms	(/ (* 0.5 (sin re)) (exp im))

simplify3.1s

Counts

32 → 62

Calls

32 calls:

Slowest

571.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
479.0ms	(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
416.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
327.0ms	(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
306.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))

prune536.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

Slowest

98.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

96.0ms

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

simplify2.6s

Counts

17 → 27

Calls

17 calls:

Slowest

413.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
395.0ms	(* (* (* (* 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))))
385.0ms	(* (* (* (* 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))))
267.0ms	(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))
241.0ms	(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))

prune331.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.8s	2948×	body	1280	valid
2.2s	2510×	body	640	valid
1.4s	8601×	body	80	valid
832.0ms	1288×	body	320	valid
601.0ms	650×	body	160	valid