Details

Time bar (total: 26.6s)

sample196.0ms

Algorithm
intervals
Results
76.0ms102×body1280valid
62.0ms87×body640valid
24.0ms287×body80valid
11.0ms33×body320valid
5.0ms26×body160valid

simplify50.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
50.0ms
(/ (- (exp x) (exp (- x))) 2)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize22.0ms

Local error

Found 1 expressions with local error:

7.9b
(- (exp x) (exp (- x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 29
Calls
1 calls:
Slowest
16.0ms
(- (exp x) (exp (- x)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
41.0ms
(- (exp x) (exp (- x)))

simplify2.5s

Counts
27 → 32
Calls
27 calls:
Slowest
345.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
255.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
225.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
196.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
169.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune277.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
0.0b
(* x (fma 1/3 (* x x) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
Slowest
11.0ms
(* x (fma 1/3 (* x x) 2))
1.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series236.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
147.0ms
(* x (fma 1/3 (* x x) 2))
89.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.4s

Counts
18 → 40
Calls
18 calls:
Slowest
743.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
341.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
325.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
313.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
180.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune299.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 1/3 (* x x))
0.1b
(* x (* 1/3 (* x x)))
0.0b
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt associate-*l*
5×*-un-lft-identity add-cube-cbrt
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×associate-*r* *-commutative
1×fma-udef unswap-sqr
Counts
3 → 57
Calls
3 calls:
Slowest
58.0ms
(* x (* 1/3 (* x x)))
20.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
85.0ms
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))
54.0ms
(* x (* 1/3 (* x x)))
28.0ms
(* 1/3 (* x x))

simplify3.5s

Counts
31 → 66
Calls
31 calls:
Slowest
693.0ms
(* (* (* x x) x) (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))))
567.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* (* x x) (* x x)) (* x x))))
395.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))))
325.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
300.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune695.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

7.9b
(- (exp x) (exp (- x)))
7.9b
(- (exp x) (exp (- x)))
7.9b
(- (exp x) (exp (- x)))
0.1b
(cbrt (- (exp x) (exp (- x))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
27×prod-diff
26×add-cube-cbrt
10×add-log-exp
9×fma-neg
5×cbrt-prod
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 105
Calls
4 calls:
Slowest
18.0ms
(- (exp x) (exp (- x)))
15.0ms
(- (exp x) (exp (- x)))
14.0ms
(- (exp x) (exp (- x)))
8.0ms
(cbrt (- (exp x) (exp (- x))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
186.0ms
(cbrt (- (exp x) (exp (- x))))
70.0ms
(- (exp x) (exp (- x)))
49.0ms
(- (exp x) (exp (- x)))
46.0ms
(- (exp x) (exp (- x)))

simplify9.3s

Counts
91 → 117
Calls
91 calls:
Slowest
442.0ms
(- (+ (exp (* 1/3 (+ (log 2) (log x)))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 2) (log x))))))) (* 1/3240 (* (pow x 4) (exp (* 1/3 (+ (log 2) (log x)))))))
396.0ms
(pow (- (exp x) (exp (* -1 x))) 1/3)
361.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
351.0ms
(cbrt (- (pow (exp x) 3) (pow (exp (- x)) 3)))
347.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s3377×body1280valid
1.5s2475×body640valid
760.0ms8247×body80valid
345.0ms1226×body320valid
170.0ms660×body160valid