Details

Time bar (total: 23.9s)

sample159.0ms

Algorithm
intervals
Results
73.0ms115×body1280valid
39.0ms76×body640valid
20.0ms293×body80valid
10.0ms38×body320valid
4.0ms24×body160valid

simplify67.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
67.0ms
(/ (- (exp x) (exp (- x))) 2)

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize25.0ms

Local error

Found 1 expressions with local error:

6.1b
(- (exp x) (exp (- x)))

rewrite26.0ms

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
26.0ms
(- (exp x) (exp (- x)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
55.0ms
(- (exp x) (exp (- x)))

simplify4.1s

Counts
44 → 32
Calls
44 calls:
Slowest
503.0ms
(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
356.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
334.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
222.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
217.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune238.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (fma 1/3 (* x x) 2))
0.0b
(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 1/3 (* x x) 2)

series204.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
121.0ms
(* x (fma 1/3 (* x x) 2))
82.0ms
(fma 1/3 (* x x) 2)

simplify3.7s

Counts
42 → 40
Calls
42 calls:
Slowest
874.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
844.0ms
(* (* (* x (fma 1/3 (* x x) 2)) (* x (fma 1/3 (* x x) 2))) (* x (fma 1/3 (* x x) 2)))
187.0ms
(exp (* x (fma 1/3 (* x x) 2)))
165.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))
148.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune396.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 3 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))

rewrite147.0ms

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
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def flip3-+ distribute-rgt-out flip-+ unswap-sqr
Counts
3 → 62
Calls
3 calls:
Slowest
73.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
40.0ms
(* (* 1/3 (* x x)) x)
32.0ms
(* 1/3 (* x x))

series270.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
158.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
63.0ms
(* (* 1/3 (* x x)) x)
49.0ms
(* 1/3 (* x x))

simplify7.9s

Counts
70 → 71
Calls
70 calls:
Slowest
1.1s
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
576.0ms
(* (* (* (* 1/3 (* x x)) x) (* (* 1/3 (* x x)) x)) (* (* 1/3 (* x x)) x))
474.0ms
(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
403.0ms
(* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x)))
371.0ms
(- (* (* (* 1/3 (* x x)) x) (* (* 1/3 (* x x)) x)) (* (* 2 x) (* 2 x)))

prune626.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.6b remaining)

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

bsearch4.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.6s3474×body1280valid
1.2s2387×body640valid
1.1s7846×body80valid
380.0ms1201×body320valid
115.0ms655×body160valid