Details

Time bar (total: 10.4s)

sample243.0ms

Algorithm
halfpoints

simplify81.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.5b
(- (exp x) (exp (- x)))

rewrite210.0ms

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:
58.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms
(+ (exp x) (exp (- x)))
98.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
22.0ms
(- (exp x) (exp (- x)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
37.0ms
(+ (exp x) (exp (- x)))
124.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0ms
(- (exp x) (exp (- x)))

simplify40.0ms

Counts
111 → 111

prune572.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b
(* 1/12 (pow x 4))
19.5b
(- (exp x) (exp (- x)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
27×*-un-lft-identity
22×associate-*l*
17×add-cube-cbrt
16×times-frac
14×add-exp-log
11×add-cbrt-cube add-log-exp
10×associate-*r*
6×pow1
5×prod-exp unswap-sqr
4×unpow-prod-down distribute-lft-out-- difference-of-squares
3×sum-log cbrt-unprod
2×*-commutative sqr-pow
1×cbrt-undiv +-commutative pow-to-exp sub-neg associate-+r+ flip3-- flip3-+ diff-log div-exp pow-prod-down associate-*l/ pow-exp flip-- flip-+ div-inv distribute-lft-out
Counts
4 → 91
Calls
4 calls:
27.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
67.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms
(* 1/12 (pow x 4))
14.0ms
(- (exp x) (exp (- x)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
120.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms
(* 1/12 (pow x 4))
38.0ms
(- (exp x) (exp (- x)))

simplify50.0ms

Counts
103 → 103

prune674.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b
(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
19.5b
(- (exp x) (exp (- x)))

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1
33×add-sqr-sqrt
30×sqrt-pow1
26×*-un-lft-identity
23×associate-*l*
22×pow-prod-down
18×add-cube-cbrt
16×times-frac
11×add-exp-log pow1/2 add-cbrt-cube
10×pow-prod-up
7×associate-*r* associate-*l/
6×pow-sqr add-log-exp
5×sqrt-div sqrt-prod
4×swap-sqr distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod unswap-sqr
2×*-commutative
1×cbrt-undiv pow2 frac-times sub-neg flip3-- pow-plus sqrt-unprod diff-log associate-*r/ div-exp rem-square-sqrt flip-- div-inv
Counts
4 → 116
Calls
4 calls:
18.0ms
(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
76.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
221.0ms
(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
15.0ms
(- (exp x) (exp (- x)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
104.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
144.0ms
(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
66.0ms
(- (exp x) (exp (- x)))

simplify56.0ms

Counts
128 → 128

prune588.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify70.0ms

end0.0ms

sample6.0s

Algorithm
halfpoints