Details

Time bar (total: 15.0s)

sample207.0ms

Algorithm
intervals
Results
108.0ms243×body10240exit
49.0ms102×body1280valid
28.0ms80×body640valid
8.0ms35×body320valid
3.0ms23×body160valid
1.0ms16×body80valid

simplify83.0ms

Calls
1 calls:
Slowest
83.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize25.0ms

Local error

Found 3 expressions with local error:

5.9b
(- (exp x) (exp (- x)))
1.5b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
26×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
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×pow1 insert-posit16
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
44.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms
(+ (exp x) (exp (- x)))
10.0ms
(- (exp x) (exp (- x)))

series179.0ms

Calls
3 calls:
Slowest
98.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
57.0ms
(- (exp x) (exp (- x)))
24.0ms
(+ (exp x) (exp (- x)))

simplify2.9s

Calls
69 calls:
Slowest
196.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
168.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
163.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
145.0ms
(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
123.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune545.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite0.0ms

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

series80.0ms

Calls
1 calls:
Slowest
80.0ms
(tanh x)

simplify262.0ms

Calls
3 calls:
Slowest
104.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
88.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
70.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) -1/3)
0.1b
(* x (* (* x x) -1/3))
0.0b
(* (pow x 5) 2/15)
0.0b
(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube associate-*l* add-exp-log insert-posit16
3×*-commutative
1×+-commutative sum-log flip3-+ associate-*r* flip-+
Calls
4 calls:
Slowest
10.0ms
(* (* x x) -1/3)
6.0ms
(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
4.0ms
(* x (* (* x x) -1/3))
3.0ms
(* (pow x 5) 2/15)

series141.0ms

Calls
4 calls:
Slowest
77.0ms
(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
31.0ms
(* (pow x 5) 2/15)
21.0ms
(* x (* (* x x) -1/3))
11.0ms
(* (* x x) -1/3)

simplify352.0ms

Calls
15 calls:
Slowest
83.0ms
(* (exp (* (pow x 5) 2/15)) (exp (* x (* (* x x) -1/3))))
62.0ms
(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
57.0ms
(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
49.0ms
(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
15.0ms
(* -1/3 (pow x 3))

prune403.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample9.6s

Algorithm
intervals
Results
5.6s7447×body10240exit
2.2s3364×body1280valid
988.0ms2433×body640valid
354.0ms1178×body320valid
127.0ms596×body160valid
36.0ms429×body80valid