Details

sample260.0ms

Algorithm

intervals

Results

99.0ms	96×	body	1280	valid
82.0ms	84×	body	640	valid
40.0ms	277×	body	80	valid
17.0ms	37×	body	320	valid
4.0ms	15×	body	160	valid

simplify249.0ms

Calls

1 calls:

Slowest

249.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune14.0ms

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	(/ (* 0.5 (cos re)) (exp im))
0.0b	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
3×	`associate-/r*` `times-frac` `add-exp-log`
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` `associate-/l*`

Calls

2 calls:

Slowest

6.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series153.0ms

Calls

2 calls:

Slowest

114.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
39.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify742.0ms

Calls

17 calls:

Slowest

159.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
147.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
125.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
69.0ms	(- (log (* 0.5 (cos re))) im)
56.0ms	(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

16.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
11.0ms	(+ (exp (- im)) (exp im))

series105.0ms

Calls

2 calls:

Slowest

76.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
29.0ms	(+ (exp (- im)) (exp im))

simplify1.7s

Calls

21 calls:

Slowest

391.0ms	(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
216.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
194.0ms	(* 0.5 (* (cos re) (+ (exp (- im)) (exp im))))
171.0ms	(* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re)))
166.0ms	(+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))

prune489.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(expm1 (log1p (/ (* 0.5 (cos re)) (exp im))))
0.1b	(log1p (/ (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))
0.0b	(fma (exp im) (* 0.5 (cos re)) (expm1 (log1p (/ (* 0.5 (cos re)) (exp im)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

10.0ms	(/ (* 0.5 (cos re)) (exp im))
1.0ms	(log1p (/ (* 0.5 (cos re)) (exp im)))
0.0ms	(expm1 (log1p (/ (* 0.5 (cos re)) (exp im))))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (expm1 (log1p (/ (* 0.5 (cos re)) (exp im)))))

series345.0ms

Calls

4 calls:

Slowest

137.0ms	(fma (exp im) (* 0.5 (cos re)) (expm1 (log1p (/ (* 0.5 (cos re)) (exp im)))))
85.0ms	(expm1 (log1p (/ (* 0.5 (cos re)) (exp im))))
79.0ms	(log1p (/ (* 0.5 (cos re)) (exp im)))
44.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.3s

Calls

25 calls:

Slowest

183.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
164.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
164.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
149.0ms	(- (log 1.5) (+ (* 0.16666666666666666 (pow re 2)) (* 0.3333333333333333 im)))
146.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))

prune768.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.3s	3007×	body	1280	valid
1.8s	2501×	body	640	valid
1.8s	8553×	body	80	valid
1.1s	1189×	body	320	valid
206.0ms	612×	body	160	valid