Details

Time bar (total: 30.2s)

sample128.0ms

Algorithm
intervals
Results
54.0ms102×body1280valid
28.0ms79×body640valid
19.0ms301×body80valid
12.0ms48×body320valid
3.0ms17×body160valid

simplify88.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
88.0ms
(/ (- (exp x) (exp (- x))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize11.0ms

Local error

Found 1 expressions with local error:

5.3b
(- (exp x) (exp (- x)))

rewrite10.0ms

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
10.0ms
(- (exp x) (exp (- x)))

series71.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
71.0ms
(- (exp x) (exp (- x)))

simplify533.0ms

Counts
7 → 18
Calls
7 calls:
Slowest
287.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
68.0ms
(- (exp x) (exp (* -1 x)))
64.0ms
(/ (exp (exp x)) (exp (exp (- x))))
35.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
30.0ms
(+ (sqrt (exp x)) (sqrt (exp (- x))))

prune171.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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
66.0ms
(* x (+ (* x (* 1/3 x)) 2))
12.0ms
(* x (* 1/3 x))
11.0ms
(* 1/3 x)
8.0ms
(* (pow x 5) 1/60)

series321.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(* x (+ (* x (* 1/3 x)) 2))
99.0ms
(* (pow x 5) 1/60)
50.0ms
(* x (* 1/3 x))
28.0ms
(* 1/3 x)

simplify3.0s

Counts
61 → 99
Calls
61 calls:
Slowest
392.0ms
(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
296.0ms
(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
260.0ms
(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
195.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
176.0ms
(* (* (* 1/3 1/3) 1/3) (* (* x x) x))

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)
0.0b
(* (pow x 5) 1/60)

rewrite90.0ms

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
61.0ms
(* (* x (* 1/3 x)) x)
15.0ms
(* x (* 1/3 x))
8.0ms
(* (pow x 5) 1/60)
5.0ms
(* 1/3 x)

series187.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(* (* x (* 1/3 x)) x)
58.0ms
(* (pow x 5) 1/60)
41.0ms
(* x (* 1/3 x))
18.0ms
(* 1/3 x)

simplify3.5s

Counts
58 → 98
Calls
58 calls:
Slowest
584.0ms
(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
459.0ms
(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
390.0ms
(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
235.0ms
(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
220.0ms
(* (* (* 1/3 1/3) 1/3) (* (* x x) x))

prune960.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

5.2b
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
0.0b
(* (exp x) (exp x))
0.0b
(* (exp (- x)) (exp (- x)))
0.0b
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
94×exp-prod
70×*-un-lft-identity
50×add-sqr-sqrt
46×add-cube-cbrt
24×distribute-rgt-neg-in
20×distribute-lft-neg-in
19×pow-prod-down
18×pow1
17×pow-sqr pow-prod-up
16×times-frac
10×add-cbrt-cube
8×neg-mul-1
7×exp-neg
6×neg-sub0 exp-diff swap-sqr associate-*r* associate-*l* add-exp-log add-log-exp difference-of-squares
5×distribute-lft-out
4×frac-times associate-/r* insert-posit16 associate-/l*
2×pow2 pow-plus flip3-- associate-*l/ prod-exp associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp un-div-inv flip-+ div-inv
Counts
4 → 164
Calls
4 calls:
Slowest
53.0ms
(* (exp (- x)) (exp (- x)))
53.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
13.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
12.0ms
(* (exp x) (exp x))

series302.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
162.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
102.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
24.0ms
(* (exp (- x)) (exp (- x)))
14.0ms
(* (exp x) (exp x))

simplify12.7s

Counts
205 → 176
Calls
205 calls:
Slowest
603.0ms
(/ (- (pow (exp x) 2) (pow (exp (* -1 x)) 2)) (+ (exp (* -1 x)) (exp x)))
551.0ms
(- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* (* (exp (- x)) (exp (- x))) (* (exp (- x)) (exp (- x)))))
456.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
443.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
409.0ms
(- (pow (exp x) 2) (pow (exp (* -1 x)) 2))

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.4s3466×body1280valid
1.2s8151×body80valid
1.0s2479×body640valid
345.0ms1194×body320valid
102.0ms600×body160valid