Details

Time bar (total: 50.1s)

sample101.0ms

Algorithm
intervals
Results
49.0ms56×body10240exit
24.0ms267×body80valid
6.0ms11×body640valid
6.0ms5×body1280valid
1.0ms3×body320valid
1.0ms3×body160valid

simplify40.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
40.0ms
(- (log (+ 1 (exp x))) (* x y))

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(log (+ 1 (exp x)))
0.0b
(+ 1 (exp x))
0.0b
(- (log (+ 1 (exp x))) (* x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 log-div associate--l+ add-exp-log
3×flip3-+ add-cbrt-cube flip-+ insert-posit16 distribute-lft-out
2×associate--l-
1×+-commutative sum-log sub-neg flip3-- diff-log rem-log-exp log-pow flip--
Counts
3 → 48
Calls
3 calls:
Slowest
12.0ms
(- (log (+ 1 (exp x))) (* x y))
4.0ms
(+ 1 (exp x))
4.0ms
(log (+ 1 (exp x)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(log (+ 1 (exp x)))
53.0ms
(- (log (+ 1 (exp x))) (* x y))
8.0ms
(+ 1 (exp x))

simplify671.0ms

Counts
25 → 57
Calls
25 calls:
Slowest
85.0ms
(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
85.0ms
(log (+ (pow 1 3) (pow (exp x) 3)))
82.0ms
(log (+ (pow 1 3) (pow (exp x) 3)))
73.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
54.0ms
(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))

prune569.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

5.3b
(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
5.2b
(- (* (exp x) (exp x)) (* 1 (exp x)))
0.4b
(log (+ (exp (+ (+ x x) x)) 1))
0.1b
(exp (+ (+ x x) x))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×exp-prod add-log-exp
10×add-cube-cbrt distribute-lft-out
8×log-prod
6×pow1 add-exp-log
4×log-div distribute-lft1-in add-cbrt-cube insert-posit16
3×sum-log distribute-rgt-out rem-exp-log
2×flip3-+ rem-log-exp distribute-rgt1-in log-pow flip-+
1×sub-neg flip3-- distribute-rgt-out-- diff-log exp-sum flip--
Counts
4 → 70
Calls
4 calls:
Slowest
154.0ms
(log (+ (exp (+ (+ x x) x)) 1))
59.0ms
(exp (+ (+ x x) x))
54.0ms
(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
26.0ms
(- (* (exp x) (exp x)) (* 1 (exp x)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
60.0ms
(log (+ (exp (+ (+ x x) x)) 1))
33.0ms
(- (* (exp x) (exp x)) (* 1 (exp x)))
9.0ms
(exp (+ (+ x x) x))

simplify3.7s

Counts
45 → 82
Calls
45 calls:
Slowest
453.0ms
(log (- (* (* 1 1) (* 1 1)) (* (- (* (exp x) (exp x)) (* 1 (exp x))) (- (* (exp x) (exp x)) (* 1 (exp x))))))
378.0ms
(log (+ (pow (* 1 1) 3) (pow (- (* (exp x) (exp x)) (* 1 (exp x))) 3)))
310.0ms
(log (+ (pow (exp (+ (+ x x) x)) 3) (pow 1 3)))
291.0ms
(/ (exp (* (exp x) (exp x))) (exp (* 1 (exp x))))
222.0ms
(log (- (+ (pow (exp x) 2) 1) (exp x)))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.9b
(log (sqrt (+ 1 (exp x))))
0.9b
(log (sqrt (+ 1 (exp x))))
0.0b
(sqrt (+ 1 (exp x)))
0.0b
(sqrt (+ 1 (exp x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×sqrt-prod
14×log-prod
12×add-sqr-sqrt
10×pow1 add-cube-cbrt
8×sqrt-div
6×add-exp-log log-pow
4×log-div sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 flip-+ insert-posit16 distribute-lft-out add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 76
Calls
4 calls:
Slowest
9.0ms
(log (sqrt (+ 1 (exp x))))
8.0ms
(log (sqrt (+ 1 (exp x))))
8.0ms
(sqrt (+ 1 (exp x)))
6.0ms
(sqrt (+ 1 (exp x)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
143.0ms
(log (sqrt (+ 1 (exp x))))
140.0ms
(log (sqrt (+ 1 (exp x))))
50.0ms
(sqrt (+ 1 (exp x)))
50.0ms
(sqrt (+ 1 (exp x)))

simplify2.6s

Counts
50 → 88
Calls
50 calls:
Slowest
524.0ms
(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
426.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
415.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
192.0ms
(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
189.0ms
(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

16.7b
(/ (- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y)))))
0.7b
(pow (log (+ 1 (exp x))) 3)
0.7b
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
0.3b
(* (* x y) (* x y))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
59×pow1
45×*-un-lft-identity
39×times-frac
32×difference-of-squares
31×add-cube-cbrt
25×sqr-pow
21×add-cbrt-cube add-exp-log
18×pow-prod-down
13×associate-/l*
12×unpow-prod-down cube-prod
9×prod-exp cbrt-unprod
8×log-prod log-pow
7×swap-sqr
5×associate-*r* associate-*l* pow-sqr pow-prod-up
4×distribute-rgt-in difference-cubes distribute-lft-in insert-posit16 distribute-lft-out-- add-log-exp
3×pow-unpow associate-/r* pow-plus
2×pow2 associate-/r/ *-commutative distribute-lft-out associate-/l/
1×cube-mult pow-to-exp cbrt-undiv clear-num pow-pow frac-2neg flip3-+ flip3-- unpow3 div-sub div-exp pow-exp flip-+ div-inv flip-- rem-cube-cbrt unswap-sqr
Counts
4 → 173
Calls
4 calls:
Slowest
161.0ms
(/ (- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y)))))
31.0ms
(* (* x y) (* x y))
22.0ms
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
2.0ms
(pow (log (+ 1 (exp x))) 3)

series501.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
253.0ms
(/ (- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y)))))
122.0ms
(pow (log (+ 1 (exp x))) 3)
87.0ms
(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
38.0ms
(* (* x y) (* x y))

simplify31.3s

Counts
192 → 185
Calls
192 calls:
Slowest
881.0ms
(/ (* (* (- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3)) (- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3))) (- (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3))) (* (* (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y)))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y))))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y))))))
753.0ms
(* (* (* (* x x) x) (* (* y y) y)) (* (* (* x x) x) (* (* y y) y)))
739.0ms
(+ (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))) (- (* (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y)))) (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1 (exp x))) (* x y))))))
640.0ms
(* (* (* (* x y) (* x y)) (* x y)) (* (* (* x y) (* x y)) (* x y)))
484.0ms
(+ (pow (log (+ 1 (exp x))) (/ 3 2)) (pow (* x y) (/ 3 2)))

prune2.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes138.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.7s2411×body10240exit
898.0ms8428×body80valid
178.0ms272×body640valid
94.0ms101×body1280valid
67.0ms191×body320valid
19.0ms88×body160valid