Details

sample238.0ms

Algorithm

intervals

Results

96.0ms	98×	body	1280	valid
66.0ms	80×	body	640	valid
37.0ms	259×	body	80	valid
13.0ms	31×	body	320	valid
7.0ms	24×	body	160	valid

simplify258.0ms

Calls

1 calls:

Slowest

258.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

16.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series168.0ms

Calls

2 calls:

Slowest

121.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
47.0ms	(/ (sin re) (exp im))

simplify1.5s

Calls

32 calls:

Slowest

428.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
417.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
328.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
44.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
25.0ms	(- (log (sin re)) (log (exp im)))

prune492.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Calls

2 calls:

Slowest

19.0ms	(/ (sin re) (exp im))
14.0ms	(* (sin re) (exp im))

series86.0ms

Calls

2 calls:

Slowest

50.0ms	(/ (sin re) (exp im))
36.0ms	(* (sin re) (exp im))

simplify1.7s

Calls

43 calls:

Slowest

406.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
372.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
292.0ms	(* (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
282.0ms	(- (+ re (* re im)) (* 1/6 (pow re 3)))
39.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))

prune563.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (fma (sin re) (exp im) (/ (sin re) (exp im)))))
0.1b	(log1p (fma (sin re) (exp im) (/ (sin re) (exp im))))
0.0b	(/ (sin re) (exp im))
0.0b	(fma (sin re) (exp im) (/ (sin re) (exp im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

10.0ms	(/ (sin re) (exp im))
1.0ms	(expm1 (log1p (fma (sin re) (exp im) (/ (sin re) (exp im)))))
1.0ms	(log1p (fma (sin re) (exp im) (/ (sin re) (exp im))))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series394.0ms

Calls

4 calls:

Slowest

139.0ms	(log1p (fma (sin re) (exp im) (/ (sin re) (exp im))))
130.0ms	(expm1 (log1p (fma (sin re) (exp im) (/ (sin re) (exp im)))))
80.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
45.0ms	(/ (sin re) (exp im))

simplify2.5s

Calls

41 calls:

Slowest

477.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
472.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
382.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
377.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
371.0ms	(- (+ (* 2 re) (* 7/3 (pow re 3))) (* 2 (pow re 2)))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im))))
0.0b	(sqrt (sin re))
0.0b	(sqrt (sin re))
0.0b	(/ (sin re) (exp im))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

214×	`add-sqr-sqrt`
114×	`sqrt-prod`
105×	`unswap-sqr`
61×	`pow1`
51×	`associate-l`
49×	`associate-r`
39×	`swap-sqr`
38×	`*-un-lft-identity`
35×	`pow-prod-down`
34×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`sqrt-pow1` `add-cbrt-cube` `pow1/2`
9×	`times-frac`
8×	`prod-exp` `pow-prod-up` `cbrt-unprod`
6×	`pow-sqr`
5×	`sqrt-unprod` `*-commutative`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow-plus` `div-exp`
1×	`pow2` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `div-inv`

Calls

4 calls:

Slowest

125.0ms	(* (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im))))
20.0ms	(/ (sin re) (exp im))
4.0ms	(sqrt (sin re))
4.0ms	(sqrt (sin re))

series127.0ms

Calls

4 calls:

Slowest

54.0ms	(/ (sin re) (exp im))
34.0ms	(* (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im))))
20.0ms	(sqrt (sin re))
18.0ms	(sqrt (sin re))

simplify8.3s

Calls

264 calls:

Slowest

881.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
499.0ms	(* (* (* (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im)))) (* (sqrt (sin re)) (sqrt (exp im)))) (* (* (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im)))) (* (sqrt (sin re)) (sqrt (exp im)))))
436.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
313.0ms	(- (+ re (* re im)) (* 1/6 (pow re 3)))
230.0ms	(* (* (* (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im)))) (* (sqrt (sin re)) (sqrt (exp im)))) (* (* (* (sqrt (sin re)) (sqrt (sin re))) (sqrt (sin re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))))

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

4.0s	3024×	body	1280	valid
2.1s	2451×	body	640	valid
1.3s	8604×	body	80	valid
644.0ms	1252×	body	320	valid
225.0ms	619×	body	160	valid