Details

Time bar (total: 50.0s)

sample150.0ms

Algorithm
intervals
Results
107.0ms182×body1280valid
14.0ms260×body80valid
11.0ms37×body640valid
4.0ms21×body320valid
2.0ms10×body160valid

simplify37.0ms

Calls
1 calls:
Slowest
37.0ms
(+ (- (exp x) 2) (exp (- x)))

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.0b

localize13.0ms

Local error

Found 3 expressions with local error:

3.0b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(- (exp x) 2)
0.0b
(/ -1 (exp x))

rewrite88.0ms

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
Calls
3 calls:
Slowest
67.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
15.0ms
(- (exp x) 2)
5.0ms
(/ -1 (exp x))

series90.0ms

Calls
3 calls:
Slowest
67.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
14.0ms
(- (exp x) 2)
9.0ms
(/ -1 (exp x))

simplify2.1s

Calls
53 calls:
Slowest
314.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
251.0ms
(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
206.0ms
(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
171.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
155.0ms
(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune548.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)) 1/360)

rewrite500.0ms

Algorithm
rewrite-expression-head
Rules
297×pow1
101×pow-prod-down
99×add-cbrt-cube add-exp-log
72×pow-prod-up
71×prod-exp cbrt-unprod
44×pow-sqr
36×pow-plus
26×pow2
7×add-sqr-sqrt
6×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×*-commutative insert-posit16 add-log-exp
3×unswap-sqr
2×swap-sqr
Calls
4 calls:
Slowest
357.0ms
(* (* (* (* x x) (* x x)) (* x x)) 1/360)
76.0ms
(* 1/12 (* (* x x) (* x x)))
34.0ms
(* (* x x) (* x x))
27.0ms
(* (* x x) (* x x))

series237.0ms

Calls
4 calls:
Slowest
82.0ms
(* (* (* (* x x) (* x x)) (* x x)) 1/360)
57.0ms
(* (* x x) (* x x))
52.0ms
(* 1/12 (* (* x x) (* x x)))
47.0ms
(* (* x x) (* x x))

simplify15.3s

Calls
202 calls:
Slowest
767.0ms
(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
705.0ms
(+ (log (* (* (* x x) (* x x)) (* x x))) (log 1/360))
584.0ms
(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
448.0ms
(* (* (* (* x x) (* x x)) (* x x)) 1/360)
446.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

3.0b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(- (exp x) 2)
0.0b
(/ -1 (exp x))

rewrite92.0ms

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
Calls
3 calls:
Slowest
65.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
15.0ms
(- (exp x) 2)
10.0ms
(/ -1 (exp x))

series123.0ms

Calls
3 calls:
Slowest
101.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
13.0ms
(- (exp x) 2)
9.0ms
(/ -1 (exp x))

simplify2.2s

Calls
53 calls:
Slowest
359.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
296.0ms
(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
210.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
181.0ms
(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
127.0ms
(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune629.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.0b
(- (- (exp x) 2) (/ -1 (exp x)))
3.0b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x)))))
0.0b
(- (exp x) 2)

rewrite471.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
56×add-sqr-sqrt
46×sqrt-prod
40×sqrt-div
31×distribute-lft-out--
25×flip3-- flip--
24×frac-sub
19×pow1
18×swap-sqr
16×frac-times add-log-exp
13×difference-of-squares
12×add-cube-cbrt
10×associate-*r* associate-*l*
8×sqrt-pow1 pow1/2
7×diff-log
6×times-frac add-cbrt-cube add-exp-log
5×sub-neg pow-prod-up
4×associate-*l/ associate--l+ associate-*r/ insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×associate--l-
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
307.0ms
(* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x)))))
90.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
53.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
16.0ms
(- (exp x) 2)

series290.0ms

Calls
4 calls:
Slowest
107.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
85.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
78.0ms
(* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x)))))
20.0ms
(- (exp x) 2)

simplify17.9s

Calls
175 calls:
Slowest
532.0ms
(* (sqrt (- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))) (sqrt (- (pow (- (exp x) 2) 3) (pow (/ -1 (exp x)) 3))))
481.0ms
(* (sqrt (+ (- (exp x) 2) (/ -1 (exp x)))) (sqrt (+ (* (- (exp x) 2) (- (exp x) 2)) (+ (* (/ -1 (exp x)) (/ -1 (exp x))) (* (- (exp x) 2) (/ -1 (exp x)))))))
463.0ms
(* (* (* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))) (* (* (sqrt (- (- (exp x) 2) (/ -1 (exp x)))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))) (sqrt (- (- (exp x) 2) (/ -1 (exp x))))))
437.0ms
(* (sqrt (+ (* (- (exp x) 2) (- (exp x) 2)) (+ (* (/ -1 (exp x)) (/ -1 (exp x))) (* (- (exp x) 2) (/ -1 (exp x)))))) (sqrt (+ (- (exp x) 2) (/ -1 (exp x)))))
425.0ms
(sqrt (+ (* (- (exp x) 2) (- (exp x) 2)) (+ (* (/ -1 (exp x)) (/ -1 (exp x))) (* (- (exp x) 2) (/ -1 (exp x))))))

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch5.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
4.5s5651×body1280valid
589.0ms8114×body80valid
525.0ms1283×body640valid
133.0ms598×body320valid
41.0ms288×body160valid