Details

sample770.0ms

Algorithm: halfpoints

simplify70.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.2b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
56.1b	(- (exp x) (exp (- x)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0ms	(- (exp x) (exp (- x)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp x) (exp (- x)))
88.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
133.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
54.0ms	(- (exp x) (exp (- x)))

simplify51.0ms

Counts: 111 → 111

prune647.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize125.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.1b	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
35×	`associate-l`
34×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`associate-r`
24×	`add-exp-log`
23×	`times-frac`
18×	`add-cbrt-cube`
11×	`unswap-sqr`
10×	`prod-exp`
8×	`pow1` `unpow-prod-down`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `div-inv`
1×	`cube-mult` `unpow3`

Counts

4 → 123

Calls

4 calls:

113.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(* 1/60 (pow x 5))
24.0ms	(* 1/3 (pow x 3))
123.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series373.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
65.0ms	(* 1/60 (pow x 5))
71.0ms	(* 1/3 (pow x 3))
139.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify60.0ms

Counts: 135 → 135

prune970.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
140.0ms	(cbrt (sin y))
149.0ms	(cbrt (sin y))
134.0ms	(cbrt (sin y))

simplify47.0ms

Counts: 85 → 85

prune811.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

166.0ms	(* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
17.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
42.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
24.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
298.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
240.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
231.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

simplify72.0ms

Counts: 99 → 99

prune945.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify56.0ms

end0.0ms

sample12.5s

Algorithm: halfpoints