Details

sample202.0ms

Algorithm

intervals

Results

80.0ms	99×	body	1280	valid
50.0ms	260×	body	80	valid
41.0ms	77×	body	640	valid
12.0ms	33×	body	320	valid
6.0ms	23×	body	160	valid

simplify218.0ms

Calls

1 calls:

Slowest

218.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

111.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
33.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
5.0ms	(/ 0.5 (exp im))

series246.0ms

Calls

3 calls:

Slowest

123.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
96.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
27.0ms	(/ 0.5 (exp im))

simplify2.2s

Calls

51 calls:

Slowest

390.0ms	(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
301.0ms	(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
206.0ms	(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
177.0ms	(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (cos re) (cos re)) (cos re)))
152.0ms	(* (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) (cos re))

prune785.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
0.0b	(* (cbrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cbrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
40×	`cbrt-prod`
36×	`add-cube-cbrt`
27×	`times-frac`
20×	`distribute-lft-out`
17×	`associate-l`
15×	`swap-sqr` `add-exp-log`
14×	`add-cbrt-cube`
12×	`cbrt-div`
11×	`pow1`
9×	`associate-/r` `associate-r` `associate-/l`
7×	`div-inv`
6×	`flip3-+` `pow1/3` `div-exp` `flip-+`
5×	`*-commutative`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `clear-num` `frac-2neg`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Calls

4 calls:

Slowest

196.0ms	(* (cbrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cbrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))))
10.0ms	(/ 0.5 (exp im))
7.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))

series381.0ms

Calls

4 calls:

Slowest

330.0ms	(* (cbrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cbrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))))
21.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))
14.0ms	(/ 0.5 (exp im))

simplify9.4s

Calls

173 calls:

Slowest

814.0ms	(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
548.0ms	(* (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))) (cbrt (- (/ 0.5 (exp im)) (* (exp im) 0.5))))
505.0ms	(* (cbrt (- (/ 0.5 (exp im)) (* (exp im) 0.5))) (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
460.0ms	(cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
457.0ms	(* (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))) (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

7.6b	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.3b	(/ (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (cos re)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

rewrite8.4s

Algorithm

rewrite-expression-head

Rules

2847×	`associate-l`
2818×	`*-un-lft-identity`
1079×	`distribute-lft-out`
846×	`times-frac`
616×	`add-sqr-sqrt`
561×	`associate-r`
464×	`distribute-lft-out--`
330×	`add-cube-cbrt`
324×	`frac-times`
289×	`div-inv`
278×	`associate-/l*`
266×	`swap-sqr`
262×	`associate-/r*`
204×	`associate-/r/`
202×	`frac-add`
184×	`pow3`
166×	`*-commutative`
164×	`distribute-rgt-out--`
137×	`unswap-sqr`
102×	`flip3--` `flip--`
92×	`sum-cubes`
85×	`clear-num`
81×	`frac-2neg`
57×	`add-exp-log`
45×	`difference-of-squares`
38×	`associate-*l/`
36×	`associate-*r/`
33×	`add-cbrt-cube`
26×	`div-exp`
19×	`prod-exp`
18×	`pow1`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
8×	`un-div-inv`
6×	`add-log-exp`
4×	`insert-posit16`
2×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `associate-/l/`
1×	`sub-neg` `diff-log`

Calls

4 calls:

Slowest

8.0s	(/ (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (cos re)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
253.0ms	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
43.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
27.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

series389.0ms

Calls

4 calls:

Slowest

276.0ms	(/ (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (cos re)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
50.0ms	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
35.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
27.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

simplify8.5m

Calls

2423 calls:

Slowest

1.1s	(* (* (/ (exp im) (sqrt 0.5)) (cbrt (exp im))) (+ (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (* (exp im) 0.5) (* (exp im) 0.5))) (+ (* (* (/ 0.5 (exp im)) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
1.1s	(* (* (sqrt (exp im)) (cbrt (exp im))) (+ (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (* (exp im) 0.5) (* (exp im) 0.5))) (+ (* (* (/ 0.5 (exp im)) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
1.0s	(* (* (- (exp im)) (cbrt (exp im))) (+ (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (* (exp im) 0.5) (* (exp im) 0.5))) (+ (* (* (/ 0.5 (exp im)) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
982.0ms	(* (cbrt (exp im)) (+ (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (* (exp im) 0.5) (* (exp im) 0.5))) (+ (* (* (/ 0.5 (exp im)) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
962.0ms	(cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))

prune21.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.6s	3018×	body	1280	valid
2.2s	2458×	body	640	valid
1.2s	8604×	body	80	valid
580.0ms	1255×	body	320	valid
169.0ms	618×	body	160	valid