Details

Time bar (total: 18.0s)

sample114.0ms

Algorithm
intervals
Results
57.0ms109×body1280valid
26.0ms85×body640valid
13.0ms238×body80valid
6.0ms30×body320valid
3.0ms24×body160valid

simplify63.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
63.0ms
(/ (- (exp x) (exp (- x))) 2)

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize23.0ms

Local error

Found 1 expressions with local error:

5.9b
(- (exp x) (exp (- x)))

rewrite24.0ms

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
23.0ms
(- (exp x) (exp (- x)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
60.0ms
(- (exp x) (exp (- x)))

simplify2.2s

Counts
27 → 32
Calls
27 calls:
Slowest
296.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
216.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
188.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
187.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
149.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune276.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

series240.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
142.0ms
(* x (fma 1/3 (* x x) 2))
97.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.2s

Counts
18 → 40
Calls
18 calls:
Slowest
613.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
326.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
289.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
280.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
151.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune437.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))

rewrite125.0ms

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
51.0ms
(* (* 1/3 (* x x)) x)
47.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
26.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
101.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
52.0ms
(* (* 1/3 (* x x)) x)
45.0ms
(* 1/3 (* x x))

simplify4.0s

Counts
36 → 85
Calls
36 calls:
Slowest
865.0ms
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
494.0ms
(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
363.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
307.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
293.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune849.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

5.9b
(+ (/ -1 (exp x)) (exp x))
0.0b
(/ -1 (exp x))

rewrite25.0ms

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
19.0ms
(+ (/ -1 (exp x)) (exp x))
5.0ms
(/ -1 (exp x))

series72.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
63.0ms
(+ (/ -1 (exp x)) (exp x))
10.0ms
(/ -1 (exp x))

simplify1.3s

Counts
44 → 64
Calls
44 calls:
Slowest
308.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
293.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
129.0ms
(- x (+ (* 1/2 (pow x 2)) 1))
67.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (exp x)) (cbrt (exp x))))
53.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (exp x)) (cbrt (exp x))))

prune463.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.7b remaining)

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

bsearch3.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.2s3429×body1280valid
1.4s2459×body640valid
587.0ms8004×body80valid
460.0ms1232×body320valid
126.0ms607×body160valid