Details

Time bar (total: 50.9s)

sample185.0ms

Algorithm
intervals
Results
122.0ms183×body1280valid
26.0ms255×body80valid
15.0ms39×body640valid
4.0ms16×body320valid
1.0ms9×body160valid

simplify62.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
62.0ms
(+ (- (exp x) 2) (exp (- x)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize30.0ms

Local error

Found 3 expressions with local error:

2.9b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(- (exp x) 2)
0.0b
(/ -1 (exp x))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
10×times-frac add-log-exp
5×add-cbrt-cube
4×diff-log add-exp-log distribute-lft-out--
3×pow1 associate-/r* sub-neg flip3-- insert-posit16 flip-- associate-/l* difference-of-squares
2×associate--l+ frac-sub
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 66
Calls
3 calls:
Slowest
90.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
16.0ms
(- (exp x) 2)
13.0ms
(/ -1 (exp x))

series106.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
73.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
19.0ms
(- (exp x) 2)
15.0ms
(/ -1 (exp x))

simplify2.3s

Counts
53 → 75
Calls
53 calls:
Slowest
287.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
282.0ms
(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
226.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
156.0ms
(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))
148.0ms
(/ (exp (- (exp x) 2)) (exp (/ -1 (exp x))))

prune542.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
0.1b
(* (* x x) (* x x))
0.1b
(* 1/12 (* (* x x) (* x x)))
0.1b
(* (* (* x x) (* x x)) (* x x))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
909×pow1
378×pow-prod-up
203×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
87×add-cbrt-cube add-exp-log
60×prod-exp cbrt-unprod
6×add-sqr-sqrt associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
2×swap-sqr
1×pow3
Counts
4 → 366
Calls
4 calls:
Slowest
144.0ms
(* (* (* x x) (* x x)) (* x x))
77.0ms
(* 1/12 (* (* x x) (* x x)))
38.0ms
(* (* x x) (* x x))
21.0ms
(* (* x x) (* x x))

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(* 1/12 (* (* x x) (* x x)))
70.0ms
(* (* (* x x) (* x x)) (* x x))
64.0ms
(* (* x x) (* x x))
60.0ms
(* (* x x) (* x x))

simplify16.8s

Counts
425 → 378
Calls
425 calls:
Slowest
1.3s
(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x)))
1.1s
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* x x) x)))
963.0ms
(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
743.0ms
(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
414.0ms
(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* x x) (* x x)) (* x x)))

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

3.1b
(- (exp x) (+ 2 (/ -1 (exp x))))
0.0b
(+ 2 (/ -1 (exp x)))
0.0b
(/ -1 (exp x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
13×add-sqr-sqrt
11×add-cube-cbrt
10×add-log-exp
9×times-frac
5×add-cbrt-cube
4×add-exp-log
3×pow1 associate-/r* insert-posit16 associate-/l*
2×sum-log diff-log distribute-lft-out distribute-lft-out--
1×cbrt-undiv +-commutative clear-num sub-neg frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- associate--r+ difference-of-squares
Counts
3 → 59
Calls
3 calls:
Slowest
28.0ms
(- (exp x) (+ 2 (/ -1 (exp x))))
8.0ms
(/ -1 (exp x))
7.0ms
(+ 2 (/ -1 (exp x)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
77.0ms
(- (exp x) (+ 2 (/ -1 (exp x))))
17.0ms
(+ 2 (/ -1 (exp x)))
10.0ms
(/ -1 (exp x))

simplify1.6s

Counts
43 → 68
Calls
43 calls:
Slowest
327.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
226.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
121.0ms
(- x (+ (* 1/2 (pow x 2)) 1))
99.0ms
(/ (exp (exp x)) (* (exp 2) (exp (/ -1 (exp x)))))
95.0ms
(/ (exp (exp x)) (exp (+ 2 (/ -1 (exp x)))))

prune491.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

3.1b
(- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x)))))
0.0b
(* (exp x) (exp x))
0.0b
(* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))
0.0b
(/ (- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))) (+ (exp x) (+ 2 (/ -1 (exp x)))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
33×add-sqr-sqrt
29×add-cube-cbrt
21×distribute-lft-out
20×times-frac
18×pow1 exp-prod
10×add-cbrt-cube
9×swap-sqr
8×add-exp-log
7×flip3-+ associate-*r* associate-*l* flip-+ difference-of-squares
6×add-log-exp
5×associate-/r* pow-prod-down pow-sqr pow-prod-up
4×frac-times insert-posit16 associate-/l*
2×pow2 distribute-rgt-in distribute-lft-in pow-plus flip3-- associate-*l/ prod-exp associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-- associate--r+ unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 139
Calls
4 calls:
Slowest
120.0ms
(/ (- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))) (+ (exp x) (+ 2 (/ -1 (exp x)))))
58.0ms
(* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))
32.0ms
(* (exp x) (exp x))
26.0ms
(- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x)))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
244.0ms
(/ (- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))) (+ (exp x) (+ 2 (/ -1 (exp x)))))
160.0ms
(- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x)))))
36.0ms
(* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))
22.0ms
(* (exp x) (exp x))

simplify16.8s

Counts
152 → 151
Calls
152 calls:
Slowest
587.0ms
(/ (* (* (- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x))))) (- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x)))))) (- (* (exp x) (exp x)) (* (+ 2 (/ -1 (exp x))) (+ 2 (/ -1 (exp x)))))) (* (* (+ (exp x) (+ 2 (/ -1 (exp x)))) (+ (exp x) (+ 2 (/ -1 (exp x))))) (+ (exp x) (+ 2 (/ -1 (exp x))))))
577.0ms
(* (+ (* 2 2) (- (* (/ -1 (exp x)) (/ -1 (exp x))) (* 2 (/ -1 (exp x))))) (+ (* 2 2) (- (* (/ -1 (exp x)) (/ -1 (exp x))) (* 2 (/ -1 (exp x))))))
490.0ms
(* (+ (pow 2 3) (pow (/ -1 (exp x)) 3)) (- (* 2 2) (* (/ -1 (exp x)) (/ -1 (exp x)))))
437.0ms
(- (+ (pow (exp x) 2) (* 4 (/ 1 (exp x)))) (+ (/ 1 (pow (exp x) 2)) 4))
416.0ms
(* (- 2 (/ -1 (exp x))) (+ (* 2 2) (- (* (/ -1 (exp x)) (/ -1 (exp x))) (* 2 (/ -1 (exp x))))))

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch4.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
4.5s5703×body1280valid
562.0ms1241×body640valid
548.0ms7959×body80valid
129.0ms576×body320valid
96.0ms313×body160valid