Details

Time bar (total: 9.9s)

sample167.0ms

Algorithm
intervals
Results
88.0ms82×body10240exit
48.0ms275×body80valid
7.0ms10×body640valid
3.0ms2×body1280valid
2.0ms5×body320valid
2.0ms6×body160valid

simplify43.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
43.0ms
(- (log (+ 1 (exp x))) (* x y))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(log (+ 1 (exp x)))
0.0b
(+ 1 (exp x))
0.0b
(- (log (+ 1 (exp x))) (* x y))

rewrite417.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×add-sqr-sqrt log-prod add-cube-cbrt
6×pow1 add-log-exp
4×log-div fma-neg prod-diff associate--l+ add-exp-log
3×expm1-log1p-u fma-def flip3-+ add-cbrt-cube log-pow flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
2×associate--l-
1×+-commutative sum-log sub-neg log1p-def flip3-- diff-log rem-log-exp flip--
Counts
3 → 66
Calls
3 calls:
Slowest
399.0ms
(- (log (+ 1 (exp x))) (* x y))
9.0ms
(+ 1 (exp x))
7.0ms
(log (+ 1 (exp x)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
83.0ms
(- (log (+ 1 (exp x))) (* x y))
57.0ms
(log (+ 1 (exp x)))
16.0ms
(+ 1 (exp x))

simplify1.1s

Counts
38 → 75
Calls
38 calls:
Slowest
108.0ms
(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
97.0ms
(log (+ (pow 1 3) (pow (exp x) 3)))
92.0ms
(log (+ (pow 1 3) (pow (exp x) 3)))
85.0ms
(fma (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x))))) (cbrt (log (+ 1 (exp x)))) (- (* y x)))
85.0ms
(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))

prune733.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma (fma 1/8 x 1/2) x (log 2)) (* x y))
0.0b
(fma (fma 1/8 x 1/2) x (log 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×fma-neg prod-diff
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
2 → 33
Calls
2 calls:
Slowest
9.0ms
(- (fma (fma 1/8 x 1/2) x (log 2)) (* x y))
0.0ms
(fma (fma 1/8 x 1/2) x (log 2))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
66.0ms
(- (fma (fma 1/8 x 1/2) x (log 2)) (* x y))
35.0ms
(fma (fma 1/8 x 1/2) x (log 2))

simplify1.7s

Counts
16 → 39
Calls
16 calls:
Slowest
282.0ms
(- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y))
270.0ms
(/ (exp (fma (fma 1/8 x 1/2) x (log 2))) (exp (* x y)))
269.0ms
(- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y))
154.0ms
(fma (* (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (cbrt (fma (fma 1/8 x 1/2) x (log 2)))) (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* y x)))
142.0ms
(fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* y x)))

prune337.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (- (fma x 1/8 1/2) y) (log 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
Slowest
0.0ms
(fma x (- (fma x 1/8 1/2) y) (log 2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(fma x (- (fma x 1/8 1/2) y) (log 2))

simplify509.0ms

Counts
3 → 14
Calls
3 calls:
Slowest
218.0ms
(- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y))
203.0ms
(- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y))
86.0ms
(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))

prune103.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.7s2430×body10240exit
860.0ms8423×body80valid
166.0ms249×body640valid
118.0ms133×body1280valid
64.0ms187×body320valid
21.0ms101×body160valid