Details

sample234.0ms

Algorithm

intervals

Results

80.0ms	88×	body	1280	valid
43.0ms	77×	body	640	valid
38.0ms	304×	body	80	valid
31.0ms	24×	body	160	valid
23.0ms	56×	body	320	valid

simplify253.0ms

Calls

1 calls:

Slowest

253.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite5.0ms

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`

Calls

2 calls:

Slowest

4.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series148.0ms

Calls

2 calls:

Slowest

106.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
41.0ms	(/ (sin re) (exp im))

simplify1.1s

Calls

31 calls:

Slowest

339.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
254.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
215.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
50.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
29.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) 1)

prune487.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Calls

3 calls:

Slowest

8.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
8.0ms	(* (sin re) (exp im))
6.0ms	(/ (sin re) (exp im))

series203.0ms

Calls

3 calls:

Slowest

117.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
47.0ms	(* (sin re) (exp im))
39.0ms	(/ (sin re) (exp im))

simplify1.5s

Calls

46 calls:

Slowest

323.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
302.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
215.0ms	(- (+ re (* re im)) (* 1/6 (pow re 3)))
204.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
134.0ms	(* (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))

prune711.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin re) (+ (exp im) (/ 1 (exp im))))
0.0b	(/ 1 (exp im))
0.0b	(+ (exp im) (/ 1 (exp im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1`
5×	`add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
4×	`distribute-lft-out`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `associate-l*` `insert-posit16` `log1p-expm1-u` `div-inv`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

10.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
10.0ms	(+ (exp im) (/ 1 (exp im)))
1.0ms	(/ 1 (exp im))

series140.0ms

Calls

3 calls:

Slowest

81.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
44.0ms	(+ (exp im) (/ 1 (exp im)))
14.0ms	(/ 1 (exp im))

simplify1.4s

Calls

32 calls:

Slowest

297.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
232.0ms	(* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (exp im) (/ 1 (exp im))) (+ (exp im) (/ 1 (exp im)))) (+ (exp im) (/ 1 (exp im)))))
206.0ms	(+ (* (exp im) (exp im)) (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (/ 1 (exp im)))))
97.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
81.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))

prune675.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.7s	2974×	body	1280	valid
2.1s	8713×	body	80	valid
1.8s	2528×	body	640	valid
583.0ms	1206×	body	320	valid
216.0ms	603×	body	160	valid