Details

sample252.0ms

Algorithm

intervals

Results

123.0ms	98×	body	1280	valid
56.0ms	88×	body	640	valid
35.0ms	286×	body	80	valid
17.0ms	46×	body	320	valid
3.0ms	13×	body	160	valid

simplify247.0ms

Calls

1 calls:

Slowest

246.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite7.0ms

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

5.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series158.0ms

Calls

2 calls:

Slowest

95.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
63.0ms	(/ (sin re) (exp im))

simplify1.0s

Calls

31 calls:

Slowest

284.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
273.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
160.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
36.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
31.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (sqrt (exp im)))

prune445.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ (sin re) (exp im)))
0.7b	(cbrt (/ (sin re) (exp im)))
0.7b	(cbrt (/ (sin re) (exp im)))
0.5b	(* (cbrt (/ (sin re) (exp im))) (cbrt (/ (sin re) (exp im))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (/ (sin re) (exp im))) (cbrt (/ (sin re) (exp im))))
1.0ms	(cbrt (/ (sin re) (exp im)))
1.0ms	(cbrt (/ (sin re) (exp im)))
1.0ms	(cbrt (/ (sin re) (exp im)))

series410.0ms

Calls

4 calls:

Slowest

136.0ms	(* (cbrt (/ (sin re) (exp im))) (cbrt (/ (sin re) (exp im))))
93.0ms	(cbrt (/ (sin re) (exp im)))
91.0ms	(cbrt (/ (sin re) (exp im)))
90.0ms	(cbrt (/ (sin re) (exp im)))

simplify2.2s

Calls

98 calls:

Slowest

262.0ms	(- (pow re 1/3) (+ (* 1/18 (pow (pow re 7) 1/3)) (* 1/3 (* (pow re 1/3) im))))
261.0ms	(- (pow re 1/3) (+ (* 1/18 (pow (pow re 7) 1/3)) (* 1/3 (* (pow re 1/3) im))))
237.0ms	(- (pow re 1/3) (+ (* 1/18 (pow (pow re 7) 1/3)) (* 1/3 (* (pow re 1/3) im))))
215.0ms	(- (pow re 2/3) (+ (* 2/3 (* (pow (pow re 2) 1/3) im)) (* 1/9 (pow (pow re 8) 1/3))))
63.0ms	(cbrt (/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im)))))

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ (sin re) (exp im)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(* (cbrt (sin re)) (cbrt (sin re)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (/ (sin re) (exp im)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series499.0ms

Calls

4 calls:

Slowest

151.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
148.0ms	(cbrt (sin re))
128.0ms	(cbrt (sin re))
72.0ms	(cbrt (/ (sin re) (exp im)))

simplify1.0s

Calls

52 calls:

Slowest

236.0ms	(- (pow re 1/3) (+ (* 1/18 (pow (pow re 7) 1/3)) (* 1/3 (* (pow re 1/3) im))))
171.0ms	(- (pow re 1/3) (+ (* 1/3240 (pow (pow re 13) 1/3)) (* 1/18 (pow (pow re 7) 1/3))))
130.0ms	(- (pow re 1/3) (+ (* 1/3240 (pow (pow re 13) 1/3)) (* 1/18 (pow (pow re 7) 1/3))))
106.0ms	(- (+ (* 1/405 (pow (pow re 14) 1/3)) (pow re 2/3)) (* 1/9 (pow (pow re 8) 1/3)))
68.0ms	(cbrt (/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im)))))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.6s	3054×	body	1280	valid
2.6s	8447×	body	80	valid
1.7s	2424×	body	640	valid
721.0ms	1256×	body	320	valid
193.0ms	654×	body	160	valid