Details

Time bar (total: 7.0m)

sample344.0ms

Algorithm
intervals
Results
147.0ms251×body10240exit
124.0ms103×body1280valid
39.0ms73×body640valid
13.0ms42×body320valid
4.0ms19×body160valid
2.0ms19×body80valid

simplify75.0ms

Calls
1 calls:
Slowest
74.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize18.0ms

Local error

Found 3 expressions with local error:

5.1b
(- (exp x) (exp (- x)))
2.2b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite110.0ms

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
63.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
25.0ms
(- (exp x) (exp (- x)))
20.0ms
(+ (exp x) (exp (- x)))

series218.0ms

Calls
3 calls:
Slowest
121.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
69.0ms
(- (exp x) (exp (- x)))
28.0ms
(+ (exp x) (exp (- x)))

simplify5.8s

Calls
91 calls:
Slowest
398.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
308.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
248.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
236.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
212.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune868.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

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
Calls
1 calls:
Slowest
2.0ms
(tanh x)

series112.0ms

Calls
1 calls:
Slowest
112.0ms
(tanh x)

simplify550.0ms

Calls
3 calls:
Slowest
302.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
171.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
76.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.4b
(* 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)

rewrite12.0ms

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
Calls
3 calls:
Slowest
10.0ms
(* 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)

series287.0ms

Calls
3 calls:
Slowest
158.0ms
(fma 2/15 (pow x 5) x)
102.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
27.0ms
(* x -1/3)

simplify1.1s

Calls
18 calls:
Slowest
214.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
153.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
152.0ms
(+ x (* 2/15 (pow x 5)))
151.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
135.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune496.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.0b
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
2.2b
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
0.0b
(* (exp (- x)) (exp (- x)))
0.0b
(* (exp x) (exp x))

rewrite599.0ms

Algorithm
rewrite-expression-head
Rules
1616×add-sqr-sqrt
1136×*-un-lft-identity
660×times-frac
567×swap-sqr
550×difference-of-squares
382×add-cube-cbrt
323×associate-*l*
287×*-commutative unswap-sqr
235×associate-*r*
225×prod-diff
204×distribute-lft-out
110×distribute-lft-out--
94×exp-prod
33×associate-/l*
24×distribute-rgt-neg-in
20×distribute-lft-neg-in associate-/r*
19×pow-prod-down
18×pow1
17×add-exp-log pow-sqr pow-prod-up
15×fma-neg
13×add-cbrt-cube
9×prod-exp
8×frac-times neg-mul-1 associate-/r/
7×exp-neg
6×neg-sub0 flip3-+ exp-diff flip-+ add-log-exp
4×expm1-log1p-u associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u
3×cbrt-unprod
2×pow2 cbrt-undiv pow-plus flip3-- div-exp flip-- associate-/l/
1×clear-num sub-neg frac-2neg diff-log div-sub un-div-inv div-inv
Calls
4 calls:
Slowest
403.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
104.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
44.0ms
(* (exp (- x)) (exp (- x)))
13.0ms
(* (exp x) (exp x))

series340.0ms

Calls
4 calls:
Slowest
191.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
94.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
27.0ms
(* (exp (- x)) (exp (- x)))
27.0ms
(* (exp x) (exp x))

simplify6.5m

Calls
2065 calls:
Slowest
1.2s
(/ (- (exp x) (exp (- x))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
1.2s
(/ (- (exp x) (exp (- x))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
1.2s
(/ (- (sqrt (* (exp x) (exp x))) (exp (- x))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
1.1s
(/ (- (exp x) (exp (- x))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
999.0ms
(/ (* (* (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (* (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))))

prune9.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.5s

Algorithm
intervals
Results
5.8s7582×body10240exit
2.4s3274×body1280valid
1.6s2419×body640valid
402.0ms1241×body320valid
106.0ms640×body160valid
37.0ms426×body80valid