Details

Time bar (total: 36.5s)

sample108.0ms

Algorithm
intervals
Results
44.0ms110×body1280valid
35.0ms84×body640valid
12.0ms247×body80valid
6.0ms33×body320valid
2.0ms19×body160valid

simplify64.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
64.0ms
(/ (- (exp x) (exp (- x))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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
33.0ms
(- (exp x) (exp (- x)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(- (exp x) (exp (- x)))

simplify4.3s

Counts
44 → 32
Calls
44 calls:
Slowest
618.0ms
(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
506.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))
356.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
331.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
212.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune242.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* 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
3 → 45
Calls
3 calls:
Slowest
5.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/3 (* x x) 2)
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
138.0ms
(* x (fma 1/3 (* x x) 2))
88.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
75.0ms
(fma 1/3 (* x x) 2)

simplify7.5s

Counts
56 → 54
Calls
56 calls:
Slowest
889.0ms
(* (* (* x (fma 1/3 (* x x) 2)) (* x (fma 1/3 (* x x) 2))) (* x (fma 1/3 (* x x) 2)))
722.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
603.0ms
(real->posit16 (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))))
467.0ms
(* (cbrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))) (cbrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))))
417.0ms
(* (* (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))) (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))))

prune506.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt add-log-exp
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def flip3-+ distribute-rgt-out flip-+ fma-udef unswap-sqr
Counts
4 → 73
Calls
4 calls:
Slowest
72.0ms
(* (* 1/3 (* x x)) x)
47.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
23.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
80.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
62.0ms
(* (* 1/3 (* x x)) x)
32.0ms
(* 1/3 (* x x))

simplify13.0s

Counts
84 → 85
Calls
84 calls:
Slowest
900.0ms
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
584.0ms
(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
558.0ms
(* (* (fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x))) (fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))) (fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x))))
550.0ms
(sqrt (fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x))))
546.0ms
(log (fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x))))

prune790.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

5.3b
(+ (/ -1 (exp x)) (exp x))
0.0b
(/ -1 (exp x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×times-frac
17×add-sqr-sqrt add-cube-cbrt
13×fma-def
4×add-cbrt-cube add-log-exp
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp flip-+ distribute-lft-out
Counts
2 → 58
Calls
2 calls:
Slowest
22.0ms
(+ (/ -1 (exp x)) (exp x))
6.0ms
(/ -1 (exp x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
61.0ms
(+ (/ -1 (exp x)) (exp x))
12.0ms
(/ -1 (exp x))

simplify2.9s

Counts
62 → 64
Calls
62 calls:
Slowest
550.0ms
(+ (* (/ -1 (exp x)) (/ -1 (exp x))) (- (* (exp x) (exp x)) (* (/ -1 (exp x)) (exp x))))
344.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
328.0ms
(* (* (+ (/ -1 (exp x)) (exp x)) (+ (/ -1 (exp x)) (exp x))) (+ (/ -1 (exp x)) (exp x)))
308.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
251.0ms
(* (* (/ -1 (exp x)) (/ -1 (exp x))) (/ -1 (exp x)))

prune409.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.6b remaining)

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

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.7s3403×body1280valid
1.6s2520×body640valid
710.0ms8174×body80valid
352.0ms1211×body320valid
100.0ms603×body160valid