Details

sample200.0ms

Algorithm

halfpoints

Results

simplify224.0ms

Calls

1 calls:

Slowest

224.0ms

(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos y) (exp x))
0.0b	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

51.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
27.0ms	(* (cos y) (exp x))
19.0ms	(/ (cos y) (exp x))

series174.0ms

Calls

3 calls:

Slowest

86.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
55.0ms	(* (cos y) (exp x))
32.0ms	(/ (cos y) (exp x))

simplify1.4s

Calls

51 calls:

Slowest

371.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
270.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
210.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
116.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
73.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune821.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp x) (cos y))
0.0b	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
0.0b	(/ (cos y) (exp x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

30.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
12.0ms	(* (exp x) (cos y))
9.0ms	(/ (cos y) (exp x))

series172.0ms

Calls

3 calls:

Slowest

88.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
49.0ms	(* (exp x) (cos y))
34.0ms	(/ (cos y) (exp x))

simplify1.5s

Calls

51 calls:

Slowest

433.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
327.0ms	(* (* (* (exp x) (exp x)) (exp x)) (* (* (cos y) (cos y)) (cos y)))
184.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (exp x) (cos y))))
124.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
58.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))

prune832.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

17.2b	(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
0.4b	(pow (/ (cos y) (exp x)) 3)
0.4b	(pow (* (cos y) (exp x)) 3)
0.3b	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

334×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
112×	`unswap-sqr`
102×	`add-cube-cbrt`
81×	`frac-times`
76×	`times-frac`
65×	`associate-r`
64×	`associate-/l*`
63×	`associate-/r*`
45×	`difference-of-squares`
41×	`associate-l`
36×	`add-exp-log`
25×	`unpow-prod-down` `cube-prod`
24×	`distribute-rgt-out--`
23×	`swap-sqr`
22×	`clear-num` `add-cbrt-cube`
21×	`frac-2neg`
16×	`*-commutative`
15×	`pow1`
14×	`div-exp`
11×	`prod-exp`
9×	`cube-div` `associate-l/` `associate-r/` `distribute-lft-out--`
7×	`div-inv`
6×	`pow-unpow` `pow-exp` `add-log-exp`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`insert-posit16` `rem-cube-cbrt`
3×	`pow-pow`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `un-div-inv` `sqr-pow`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-sqr` `pow-prod-up` `flip--`

Calls

4 calls:

Slowest

335.0ms	(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
55.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
15.0ms	(pow (* (cos y) (exp x)) 3)
7.0ms	(pow (/ (cos y) (exp x)) 3)

series301.0ms

Calls

4 calls:

Slowest

115.0ms	(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
75.0ms	(pow (* (cos y) (exp x)) 3)
57.0ms	(pow (/ (cos y) (exp x)) 3)
53.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))

simplify44.2s

Calls

499 calls:

Slowest

761.0ms	(- (* (* (cos y) (exp x)) (* (cos y) 1)) (* (/ (cos y) (exp x)) (* (cos y) 1)))
723.0ms	(- (* (exp x) (* (cos y) (exp x))) (* (/ 1 (exp x)) (* (cos y) (exp x))))
675.0ms	(/ (exp (* (* (cos y) (exp x)) (* (cos y) (exp x)))) (exp (* (/ (cos y) (exp x)) (* (cos y) (exp x)))))
656.0ms	(+ (sqrt (* (* (cos y) (exp x)) (* (cos y) (exp x)))) (* (/ (sqrt (cos y)) (sqrt (exp x))) (* (sqrt (cos y)) (sqrt (exp x)))))
639.0ms	(- (* (pow (exp x) 2) (pow (cos y) 2)) (pow (cos y) 2))

prune5.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm

halfpoints

Results