Details

Time bar (total: 22.9s)

sample154.0ms

Algorithm
intervals
Results
59.0ms107×body1280valid
51.0ms83×body640valid
17.0ms258×body80valid
9.0ms39×body320valid
2.0ms15×body160valid

simplify56.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
55.0ms
(/ (- (exp x) (exp (- x))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize16.0ms

Local error

Found 1 expressions with local error:

5.0b
(- (exp x) (exp (- x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 15
Calls
1 calls:
Slowest
27.0ms
(- (exp x) (exp (- x)))

series69.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
69.0ms
(- (exp x) (exp (- x)))

simplify506.0ms

Counts
7 → 18
Calls
7 calls:
Slowest
281.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
79.0ms
(- (exp x) (exp (* -1 x)))
61.0ms
(/ (exp (exp x)) (exp (exp (- x))))
30.0ms
(+ (sqrt (exp x)) (sqrt (exp (- x))))
22.0ms
(- (exp x) (exp (- x)))

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* x (* 1/3 x))
0.1b
(* (pow x 5) 1/60)
0.0b
(* x (+ (* x (* 1/3 x)) 2))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
16×associate-*l*
15×add-cbrt-cube
13×pow1
12×*-un-lft-identity add-cube-cbrt
10×associate-*r*
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*r/ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-exp flip-+
Counts
4 → 87
Calls
4 calls:
Slowest
71.0ms
(* x (+ (* x (* 1/3 x)) 2))
25.0ms
(* x (* 1/3 x))
16.0ms
(* (pow x 5) 1/60)
10.0ms
(* 1/3 x)

series247.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
121.0ms
(* x (+ (* x (* 1/3 x)) 2))
63.0ms
(* (pow x 5) 1/60)
40.0ms
(* x (* 1/3 x))
23.0ms
(* 1/3 x)

simplify3.1s

Counts
61 → 99
Calls
61 calls:
Slowest
398.0ms
(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
287.0ms
(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
284.0ms
(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
193.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 1/60 1/60) 1/60))
190.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune825.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* x (* 1/3 x))
0.1b
(* (* x (* 1/3 x)) x)
0.1b
(* (pow x 5) 1/60)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×add-cbrt-cube
20×pow1
18×add-sqr-sqrt
14×associate-*l*
13×prod-exp
11×*-un-lft-identity add-cube-cbrt cbrt-unprod
10×associate-*r* pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp unswap-sqr
2×sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 86
Calls
4 calls:
Slowest
66.0ms
(* (* x (* 1/3 x)) x)
29.0ms
(* x (* 1/3 x))
10.0ms
(* 1/3 x)
8.0ms
(* (pow x 5) 1/60)

series192.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
82.0ms
(* (pow x 5) 1/60)
57.0ms
(* (* x (* 1/3 x)) x)
35.0ms
(* x (* 1/3 x))
17.0ms
(* 1/3 x)

simplify3.6s

Counts
58 → 98
Calls
58 calls:
Slowest
533.0ms
(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
514.0ms
(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
456.0ms
(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
254.0ms
(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
188.0ms
(* (* (* 1/3 1/3) 1/3) (* (* x x) x))

prune973.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

5.1b
(- (sqrt (exp x)) (sqrt (exp (- x))))
0.0b
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
0.0b
(sqrt (exp x))
0.0b
(sqrt (exp x))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×*-un-lft-identity
20×sqrt-prod
10×add-cube-cbrt
9×associate-*r*
8×pow1 sqrt-pow1 difference-of-squares
6×exp-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×frac-times flip3-- insert-posit16 flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in rem-sqrt-square distribute-lft-in pow1/2 associate-*l/ associate-*r/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 92
Calls
4 calls:
Slowest
147.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
25.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
7.0ms
(sqrt (exp x))
5.0ms
(sqrt (exp x))

series299.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
193.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
79.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
13.0ms
(sqrt (exp x))
13.0ms
(sqrt (exp x))

simplify5.7s

Counts
73 → 104
Calls
73 calls:
Slowest
446.0ms
(* (- (* (sqrt (exp x)) (sqrt (exp x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (- x))) 3)))
388.0ms
(* (- (sqrt (exp x)) (sqrt (exp (* -1 x)))) (+ (sqrt (exp x)) (sqrt (exp (* -1 x)))))
365.0ms
(* (+ (pow (sqrt (exp x)) 3) (pow (sqrt (exp (- x))) 3)) (- (* (sqrt (exp x)) (sqrt (exp x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))))
328.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
313.0ms
(+ x (+ (* 1/24 (pow x 3)) (* 1/1920 (pow x 5))))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.7b remaining)

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

bsearch5.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.6s3366×body1280valid
1.1s2550×body640valid
621.0ms8062×body80valid
291.0ms1216×body320valid
94.0ms598×body160valid