Details

sample542.0ms

Algorithm

halfpoints

Results

simplify3.7s

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.7b

localize78.0ms

Local error

Found 3 expressions with local error:

58.5b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
22×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`insert-posit16` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 90

Calls

3 calls:

Slowest

43.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
36.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
16.0ms	(- (exp x) (exp (- x)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

119.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
101.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
53.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts: 99 → 99

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize125.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`associate-l`
19×	`add-exp-log`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
8×	`prod-exp`
7×	`associate-r`
6×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`associate-+r+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 93

Calls

4 calls:

Slowest

43.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
26.0ms	(* 1/3 (* x x))
21.0ms	(+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2)))
20.0ms	(* (pow x 5) 1/60)

series368.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
103.0ms	(* (pow x 5) 1/60)
76.0ms	(+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2)))
42.0ms	(* 1/3 (* x x))

simplify3.5s

Counts: 105 → 105

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.1b	(* (/ (+ (+ (* x 2) (* (* 1/3 x) (* x x))) (* (* (* (* x x) (* x x)) x) 1/60)) 2) (sin y))
0.1b	(* (* x x) (* x x))
0.1b	(* (* 1/3 x) (* x x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

131×	`pow1`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `add-exp-log`
33×	`pow-prod-down`
22×	`pow-sqr`
21×	`add-sqr-sqrt`
19×	`prod-exp` `cbrt-unprod`
18×	`pow-plus` `associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow2`
10×	`times-frac`
8×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 139

Calls

4 calls:

Slowest

59.0ms	(* (/ (+ (+ (* x 2) (* (* 1/3 x) (* x x))) (* (* (* (* x x) (* x x)) x) 1/60)) 2) (sin y))
36.0ms	(* (* x x) (* x x))
22.0ms	(* (* 1/3 x) (* x x))
6.0ms	(* 1/3 x)

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(* (/ (+ (+ (* x 2) (* (* 1/3 x) (* x x))) (* (* (* (* x x) (* x x)) x) 1/60)) 2) (sin y))
51.0ms	(* (* 1/3 x) (* x x))
45.0ms	(* (* x x) (* x x))
20.0ms	(* 1/3 x)

simplify2.8s

Counts: 151 → 151

prune2.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* x (+ (+ (* 1/3 (* x x)) 2) (* (* (* x x) (* x x)) 1/60))) (/ 2 (sin y)))
0.1b	(* 1/3 (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(/ 2 (sin y))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

120×	`pow1`
40×	`times-frac`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `add-exp-log`
28×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
26×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
16×	`associate-/r*`
13×	`pow2` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
4×	`associate-l` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `associate-r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`flip3-+` `swap-sqr` `associate-/r/` `flip-+`

Counts

4 → 161

Calls

4 calls:

Slowest

103.0ms	(/ (* x (+ (+ (* 1/3 (* x x)) 2) (* (* (* x x) (* x x)) 1/60))) (/ 2 (sin y)))
31.0ms	(* (* x x) (* x x))
13.0ms	(* 1/3 (* x x))
4.0ms	(/ 2 (sin y))

series242.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(/ (* x (+ (+ (* 1/3 (* x x)) 2) (* (* (* x x) (* x x)) 1/60))) (/ 2 (sin y)))
45.0ms	(* (* x x) (* x x))
35.0ms	(* 1/3 (* x x))
25.0ms	(/ 2 (sin y))

simplify954.0ms

Counts: 173 → 173

prune2.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch6.0ms

end0.0ms

sample12.6s

Algorithm

halfpoints

Results