Details

Time bar (total: 21.0s)

sample140.0ms

Algorithm
intervals
Results
53.0ms101×body1280valid
46.0ms94×body640valid
18.0ms279×body80valid
6.0ms24×body320valid
4.0ms27×body160valid

simplify81.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize24.0ms

Local error

Found 1 expressions with local error:

6.2b
(- (exp x) (exp (- x)))

rewrite16.0ms

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
15.0ms
(- (exp x) (exp (- x)))

series74.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
74.0ms
(- (exp x) (exp (- x)))

simplify2.1s

Counts
32 → 32

prune258.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

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

rewrite7.0ms

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
6.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
0.0ms
(fma 1/3 (* x x) 2)

series266.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
111.0ms
(* x (fma 1/3 (* x x) 2))
83.0ms
(fma 1/3 (* x x) 2)
71.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify4.8s

Counts
54 → 54

prune628.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

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)))

rewrite109.0ms

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
45.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
40.0ms
(* (* 1/3 (* x x)) x)
23.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
80.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
64.0ms
(* (* 1/3 (* x x)) x)
43.0ms
(* 1/3 (* x x))

simplify2.3s

Counts
85 → 85

prune944.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

6.2b
(- (exp x) (exp (- x)))

rewrite13.0ms

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
13.0ms
(- (exp x) (exp (- x)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
40.0ms
(- (exp x) (exp (- x)))

simplify2.3s

Counts
32 → 32

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.9s3395×body1280valid
1.2s2466×body640valid
1.1s7982×body80valid
498.0ms1201×body320valid
159.0ms655×body160valid