Details

Time bar (total: 3.3m)

sample276.0ms

Algorithm
intervals
Results
147.0ms224×body10240exit
64.0ms98×body1280valid
35.0ms88×body640valid
10.0ms36×body320valid
3.0ms18×body160valid
1.0ms16×body80valid

simplify82.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
82.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize22.0ms

Local error

Found 3 expressions with local error:

5.6b
(- (exp x) (exp (- x)))
1.5b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite73.0ms

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
Counts
3 → 97
Calls
3 calls:
Slowest
47.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
12.0ms
(- (exp x) (exp (- x)))
11.0ms
(+ (exp x) (exp (- x)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
97.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
75.0ms
(- (exp x) (exp (- x)))
24.0ms
(+ (exp x) (exp (- x)))

simplify5.9s

Counts
91 → 106
Calls
91 calls:
Slowest
430.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
359.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
330.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
216.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
202.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

prune927.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite3.0ms

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
Counts
1 → 13
Calls
1 calls:
Slowest
3.0ms
(tanh x)

series122.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
122.0ms
(tanh x)

simplify492.0ms

Counts
3 → 16
Calls
3 calls:
Slowest
276.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
150.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
65.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(* x -1/3)
0.0b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0b
(fma 2/15 (pow x 5) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 43
Calls
3 calls:
Slowest
5.0ms
(* x -1/3)
0.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series239.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
139.0ms
(fma 2/15 (pow x 5) x)
84.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
16.0ms
(* x -1/3)

simplify1.1s

Counts
18 → 52
Calls
18 calls:
Slowest
185.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
180.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
168.0ms
(+ x (* 2/15 (pow x 5)))
141.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
139.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune454.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.6b
(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x)))))
1.0b
(/ (exp x) (+ (exp x) (exp (- x))))
0.5b
(/ (exp (- x)) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
585×*-un-lft-identity
484×times-frac
333×add-sqr-sqrt
324×prod-diff
321×add-cube-cbrt
124×distribute-lft-out
82×associate-/r/
42×flip3-+ flip-+
41×div-inv
18×fma-neg
8×associate-/r* add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×add-exp-log associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u difference-of-squares
3×fma-def distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp associate-/l/
1×neg-sub0 exp-neg +-commutative sum-log sub-neg flip3-- exp-diff diff-log frac-sub flip-- sub-div
Counts
4 → 465
Calls
4 calls:
Slowest
177.0ms
(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x)))))
19.0ms
(/ (exp (- x)) (+ (exp x) (exp (- x))))
18.0ms
(/ (exp x) (+ (exp x) (exp (- x))))
17.0ms
(+ (exp x) (exp (- x)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
195.0ms
(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ (exp (- x)) (+ (exp x) (exp (- x)))))
56.0ms
(/ (exp x) (+ (exp x) (exp (- x))))
48.0ms
(/ (exp (- x)) (+ (exp x) (exp (- x))))
42.0ms
(+ (exp x) (exp (- x)))

simplify2.9m

Counts
782 → 477
Calls
782 calls:
Slowest
1.0s
(fma (/ 1 1) (/ (exp x) (+ (exp x) (exp (- x)))) (- (* (/ (exp (- x)) (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))))))
858.0ms
(fma (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (exp x) (cbrt (+ (exp x) (exp (- x))))) (- (* (/ (cbrt (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))))))
857.0ms
(fma (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt (exp x)) (sqrt (+ (exp x) (exp (- x))))) (- (* (/ (exp (- x)) (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))))))
829.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
811.0ms
(fma (/ (sqrt (exp x)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (exp x)) (cbrt (+ (exp x) (exp (- x))))) (- (* (- (exp x) (exp (- x))) (/ (exp (- x)) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))))

prune3.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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
6.5s7643×body10240exit
2.3s3309×body1280valid
1.2s2441×body640valid
421.0ms1212×body320valid
114.0ms645×body160valid
36.0ms393×body80valid