Details

Time bar (total: 11.5s)

sample140.0ms

Algorithm
intervals
Results
59.0ms110×body1280valid
43.0ms84×body640valid
16.0ms247×body80valid
8.0ms33×body320valid
3.0ms19×body160valid

simplify46.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize11.0ms

Local error

Found 1 expressions with local error:

5.3b
(- (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
16.0ms
(- (exp x) (exp (- x)))

series40.0ms

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

simplify357.0ms

Counts
44 → 32

prune255.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* x (* 1/3 x))
0.0b
(* x (+ (* x (* 1/3 x)) 2))
0.0b
(fma 1/60 (pow x 5) (* x (+ (* x (* 1/3 x)) 2)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×associate-*r/ unswap-sqr
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+ fma-udef
Counts
4 → 78
Calls
4 calls:
Slowest
61.0ms
(* x (+ (* x (* 1/3 x)) 2))
22.0ms
(* x (* 1/3 x))
9.0ms
(* 1/3 x)
0.0ms
(fma 1/60 (pow x 5) (* x (+ (* x (* 1/3 x)) 2)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(* x (+ (* x (* 1/3 x)) 2))
86.0ms
(fma 1/60 (pow x 5) (* x (+ (* x (* 1/3 x)) 2)))
28.0ms
(* x (* 1/3 x))
16.0ms
(* 1/3 x)

simplify299.0ms

Counts
91 → 90

prune859.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* x (* 1/3 x))
0.1b
(* (* x (* 1/3 x)) x)
0.0b
(fma 1/60 (pow x 5) (+ (* (* x (* 1/3 x)) x) (* 2 x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
1×fma-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
Slowest
38.0ms
(* (* x (* 1/3 x)) x)
13.0ms
(* x (* 1/3 x))
5.0ms
(* 1/3 x)
0.0ms
(fma 1/60 (pow x 5) (+ (* (* x (* 1/3 x)) x) (* 2 x)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(fma 1/60 (pow x 5) (+ (* (* x (* 1/3 x)) x) (* 2 x)))
64.0ms
(* (* x (* 1/3 x)) x)
32.0ms
(* x (* 1/3 x))
15.0ms
(* 1/3 x)

simplify1.0s

Counts
87 → 89

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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
31.0ms
(+ (/ -1 (exp x)) (exp x))
9.0ms
(/ -1 (exp x))

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(+ (/ -1 (exp x)) (exp x))
10.0ms
(/ -1 (exp x))

simplify907.0ms

Counts
62 → 64

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.3s3403×body1280valid
1.6s2520×body640valid
704.0ms8174×body80valid
354.0ms1211×body320valid
128.0ms603×body160valid