Details

sample467.0ms

Algorithm: halfpoints

simplify903.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize48.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0b	(- (exp x) (exp (- x)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 52

Calls

2 calls:

101.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
23.0ms	(- (exp x) (exp (- x)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
42.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts: 58 → 58

prune231.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1` `add-log-exp`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `sum-log` `flip-+` `div-inv`

Counts

4 → 99

Calls

4 calls:

15.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
19.0ms	(* 1/60 (pow x 5))
116.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
21.0ms	(* 1/3 (pow x 3))

series373.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
57.0ms	(* 1/60 (pow x 5))
126.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
54.0ms	(* 1/3 (pow x 3))

simplify861.0ms

Counts: 111 → 111

prune366.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow`

Counts

4 → 182

Calls

4 calls:

120.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
161.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
122.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
7.0ms	(/ 1 (sqrt 2.0))

series664.0ms

Counts

4 → 10

Calls

4 calls:

219.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
270.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
175.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify1.2s

Counts: 192 → 192

prune776.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
0.4b	(* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))))
1.0b	(/ 1 (sqrt 2.0))
1.0b	(/ 1 (sqrt (sqrt 2.0)))

rewrite726.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-exp-log`
181×	`add-sqr-sqrt`
162×	`times-frac`
156×	`sqrt-prod`
116×	`prod-exp`
104×	`*-un-lft-identity`
92×	`add-cube-cbrt`
76×	`add-cbrt-cube`
64×	`div-exp`
53×	`associate-l`
34×	`cbrt-unprod`
32×	`associate-r`
28×	`unswap-sqr`
22×	`rec-exp` `1-exp`
20×	`pow1` `cbrt-undiv`
15×	`associate-/r*`
10×	`associate-*l/`
8×	`pow-flip`
7×	`pow-prod-down`
6×	`frac-times` `associate-r/` `associate-/l`
5×	`sqrt-pow1` `div-inv`
4×	`add-log-exp`
3×	`pow1/2`
2×	`frac-2neg` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 311

Calls

4 calls:

553.0ms	(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
135.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))))
7.0ms	(/ 1 (sqrt 2.0))
9.0ms	(/ 1 (sqrt (sqrt 2.0)))

series479.0ms

Counts

4 → 8

Calls

4 calls:

311.0ms	(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
168.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))))
0.0ms	(/ 1 (sqrt 2.0))
0.0ms	(/ 1 (sqrt (sqrt 2.0)))

simplify653.0ms

Counts: 319 → 319

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify925.0ms

end0.0ms

sample12.0s

Algorithm: halfpoints