Details

sample207.0ms

Algorithm

intervals

Results

96.0ms	88×	body	1280	valid
45.0ms	80×	body	640	valid
32.0ms	270×	body	80	valid
15.0ms	42×	body	320	valid
3.0ms	15×	body	160	valid

simplify509.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

509.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (sin re) (exp im) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))

rewrite23.0ms

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

19.0ms	(/ (sin re) (exp im))
3.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

120.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
31.0ms	(/ (sin re) (exp im))

simplify1.4s

Counts

31 → 47

Calls

31 calls:

Slowest

445.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
391.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
304.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
44.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
28.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) 1)

prune490.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (/ (sin re) (exp im)))
1.1b	(cbrt (/ (sin re) (exp im)))
1.1b	(cbrt (/ (sin re) (exp im)))
0.4b	(* (cbrt (/ (sin re) (exp im))) (cbrt (/ (sin re) (exp im))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

Slowest

34.0ms	(* (cbrt (/ (sin re) (exp im))) (cbrt (/ (sin re) (exp im))))
3.0ms	(cbrt (/ (sin re) (exp im)))
3.0ms	(cbrt (/ (sin re) (exp im)))
2.0ms	(cbrt (/ (sin re) (exp im)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(cbrt (/ (sin re) (exp im)))
116.0ms	(cbrt (/ (sin re) (exp im)))
115.0ms	(cbrt (/ (sin re) (exp im)))
108.0ms	(* (cbrt (/ (sin re) (exp im))) (cbrt (/ (sin re) (exp im))))

simplify4.0s

Counts

152 → 168

Calls

152 calls:

Slowest

333.0ms	(pow (/ (pow (sin re) 2) (pow (exp im) 2)) 1/3)
279.0ms	(- (pow re 1/3) (+ (* 1/18 (pow (pow re 7) 1/3)) (* 1/3 (* (pow re 1/3) im))))
272.0ms	(pow (/ (pow (sin re) 2) (pow (exp im) 2)) 1/3)
271.0ms	(- (pow re 1/3) (+ (* 1/18 (pow (pow re 7) 1/3)) (* 1/3 (* (pow re 1/3) im))))
268.0ms	(- (pow re 2/3) (+ (* 2/3 (* (pow (pow re 2) 1/3) im)) (* 1/9 (pow (pow re 8) 1/3))))

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.9s	2987×	body	1280	valid
1.8s	2416×	body	640	valid
1.4s	8727×	body	80	valid
627.0ms	1258×	body	320	valid
238.0ms	603×	body	160	valid