Details

sample242.0ms

Algorithm

intervals

Results

89.0ms	97×	body	640	valid
81.0ms	89×	body	1280	valid
38.0ms	294×	body	80	valid
12.0ms	27×	body	320	valid
6.0ms	23×	body	160	valid

simplify245.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

244.0ms

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

Slowest

24.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series170.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

102.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
68.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.0s

Counts

19 → 41

Calls

19 calls:

Slowest

210.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
170.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
159.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
146.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
86.0ms	(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune481.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `associate-r` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `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` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 44

Calls

2 calls:

Slowest

76.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
28.0ms	(+ (exp (- im)) (exp im))

series122.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

79.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
42.0ms	(+ (exp (- im)) (exp im))

simplify2.6s

Counts

24 → 50

Calls

24 calls:

Slowest

418.0ms	(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
410.0ms	(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
244.0ms	(* 0.5 (* (cos re) (+ (exp (- im)) (exp im))))
242.0ms	(* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re)))
223.0ms	(+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))

prune529.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

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)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

Slowest

23.0ms	(/ (* 0.5 (cos re)) (exp im))
1.0ms	(log1p (/ (* 0.5 (cos re)) (exp im)))
1.0ms	(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)))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(fma (exp im) (* 0.5 (cos re)) (expm1 (log1p (/ (* 0.5 (cos re)) (exp im)))))
98.0ms	(expm1 (log1p (/ (* 0.5 (cos re)) (exp im))))
82.0ms	(log1p (/ (* 0.5 (cos re)) (exp im)))
53.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.7s

Counts

27 → 71

Calls

27 calls:

Slowest

251.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
184.0ms	(- (log 1.5) (+ (* 0.16666666666666666 (pow re 2)) (* 0.3333333333333333 im)))
175.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
164.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
159.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))

prune884.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes244.0ms

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

4.1s	3019×	body	1280	valid
1.8s	8645×	body	80	valid
1.8s	2411×	body	640	valid
596.0ms	1202×	body	320	valid
178.0ms	634×	body	160	valid