Details

Time bar (total: 17.4s)

sample232.0ms

Algorithm
intervals
Results
119.0ms231×body10240exit
60.0ms111×body1280valid
30.0ms80×body640valid
8.0ms36×body320valid
3.0ms19×body160valid
1.0ms10×body80valid

simplify102.0ms

Calls
1 calls:
Slowest
102.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize21.0ms

Local error

Found 3 expressions with local error:

6.3b
(- (exp x) (exp (- x)))
0.8b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
34×add-sqr-sqrt
22×add-cube-cbrt
20×times-frac
9×prod-diff
7×distribute-lft-out add-log-exp
6×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×associate-/r*
3×expm1-log1p-u pow1 fma-def fma-neg insert-posit16 log1p-expm1-u
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub div-exp tanh-undef div-inv
Calls
3 calls:
Slowest
37.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms
(- (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))

series159.0ms

Calls
3 calls:
Slowest
72.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms
(- (exp x) (exp (- x)))
35.0ms
(+ (exp x) (exp (- x)))

simplify3.8s

Calls
91 calls:
Slowest
203.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
191.0ms
(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
182.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
147.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
116.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune580.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u tanh-def add-log-exp
Calls
1 calls:
Slowest
0.0ms
(tanh x)

series105.0ms

Calls
1 calls:
Slowest
105.0ms
(tanh x)

simplify274.0ms

Calls
3 calls:
Slowest
166.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
54.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
53.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune119.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x -1/3)
0.1b
(* (* x -1/3) x)
0.0b
(fma 2/15 (pow x 5) x)
0.0b
(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative fma-udef
1×associate-*l*
Calls
4 calls:
Slowest
5.0ms
(* (* x -1/3) x)
1.0ms
(* x -1/3)
0.0ms
(fma 2/15 (pow x 5) x)
0.0ms
(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))

series150.0ms

Calls
4 calls:
Slowest
82.0ms
(fma 2/15 (pow x 5) x)
36.0ms
(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
19.0ms
(* (* x -1/3) x)
13.0ms
(* x -1/3)

simplify462.0ms

Calls
12 calls:
Slowest
139.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
122.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
113.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
16.0ms
(* -1/3 (pow x 2))
15.0ms
(+ x (* 2/15 (pow x 5)))

prune488.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample10.8s

Algorithm
intervals
Results
5.1s7436×body10240exit
3.4s3370×body1280valid
1.6s2414×body640valid
358.0ms1181×body320valid
112.0ms590×body160valid
44.0ms445×body80valid