Details

Time bar (total: 25.8s)

sample226.0ms

Algorithm
intervals
Results
59.0ms773×body80nan
25.0ms256×body80valid

simplify39.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
38.0ms
(- (log (- (/ 1 x) 1)))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1 x) 1)
0.0b
(log (- (/ 1 x) 1))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
62×*-un-lft-identity
48×times-frac
44×add-cube-cbrt
39×prod-diff
14×log-prod
13×fma-neg
12×difference-of-squares
8×add-exp-log
6×difference-of-sqr-1 div-inv
4×expm1-def distribute-lft-out-- add-log-exp
3×pow1
2×expm1-log1p-u log-div flip3-- add-cbrt-cube div-exp insert-posit16 log1p-expm1-u flip--
1×rec-exp sub-neg diff-log 1-exp rem-log-exp log-pow
Counts
2 → 110
Calls
2 calls:
Slowest
27.0ms
(- (/ 1 x) 1)
15.0ms
(log (- (/ 1 x) 1))

series93.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(log (- (/ 1 x) 1))
42.0ms
(- (/ 1 x) 1)

simplify5.0s

Counts
134 → 116
Calls
134 calls:
Slowest
212.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
202.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
188.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
175.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
148.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))

prune838.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

31.6b
(log (fma (/ 1 x) (/ 1 x) -1))
0.3b
(fma (/ 1 x) (/ 1 x) -1)
0.0b
(- (log (fma (/ 1 x) (/ 1 x) -1)) (log (+ (/ 1 x) 1)))
0.0b
(log (+ (/ 1 x) 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
19×add-sqr-sqrt pow1
17×add-cube-cbrt
16×log-prod prod-diff
15×log-pow
6×add-exp-log
5×associate--r+
4×expm1-log1p-u log-div add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp
3×associate--l+
2×flip3-+ rem-log-exp flip-+ div-inv associate--r-
1×sub-neg flip3-- diff-log fma-udef flip-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
Slowest
12.0ms
(- (log (fma (/ 1 x) (/ 1 x) -1)) (log (+ (/ 1 x) 1)))
7.0ms
(log (+ (/ 1 x) 1))
1.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
0.0ms
(fma (/ 1 x) (/ 1 x) -1)

series237.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
58.0ms
(- (log (fma (/ 1 x) (/ 1 x) -1)) (log (+ (/ 1 x) 1)))
54.0ms
(fma (/ 1 x) (/ 1 x) -1)
44.0ms
(log (+ (/ 1 x) 1))

simplify8.7s

Counts
75 → 107
Calls
75 calls:
Slowest
640.0ms
(fma (* (cbrt (log (fma (/ 1 x) (/ 1 x) -1))) (cbrt (log (fma (/ 1 x) (/ 1 x) -1)))) (cbrt (log (fma (/ 1 x) (/ 1 x) -1))) (- (* (log (+ (/ 1 x) 1)) 1)))
451.0ms
(log (+ (pow (/ 1 x) 3) (pow 1 3)))
374.0ms
(- (+ (pow x 2) (+ (* 1/2 (pow x 4)) (* 2 (log x)))))
346.0ms
(fma 1 (log (fma (/ 1 x) (/ 1 x) -1)) (- (* (cbrt (log (+ (/ 1 x) 1))) (* (cbrt (log (+ (/ 1 x) 1))) (cbrt (log (+ (/ 1 x) 1)))))))
337.0ms
(fma 1 (log (fma (/ 1 x) (/ 1 x) -1)) (- (* (cbrt (log (+ (/ 1 x) 1))) (* (cbrt (log (+ (/ 1 x) 1))) (cbrt (log (+ (/ 1 x) 1)))))))

prune962.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

31.6b
(log (fma (/ 1 x) (/ 1 x) -1))
31.6b
(log (fma (/ 1 x) (/ 1 x) -1))
31.6b
(log (fma (/ 1 x) (/ 1 x) -1))
0.6b
(* (log (+ (/ 1 x) 1)) (log (+ (/ 1 x) 1)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×pow1
19×log-prod
15×add-sqr-sqrt
13×add-cube-cbrt
9×add-exp-log log-pow
6×add-cbrt-cube swap-sqr
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
3×rem-log-exp
2×div-inv
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 88
Calls
4 calls:
Slowest
24.0ms
(* (log (+ (/ 1 x) 1)) (log (+ (/ 1 x) 1)))
1.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
1.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
1.0ms
(log (fma (/ 1 x) (/ 1 x) -1))

series310.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
89.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
83.0ms
(log (fma (/ 1 x) (/ 1 x) -1))
44.0ms
(* (log (+ (/ 1 x) 1)) (log (+ (/ 1 x) 1)))

simplify4.5s

Counts
62 → 100
Calls
62 calls:
Slowest
452.0ms
(- (+ (pow x 2) (+ (* 1/2 (pow x 4)) (* 2 (log x)))))
384.0ms
(- (+ (pow x 2) (+ (* 1/2 (pow x 4)) (* 2 (log x)))))
377.0ms
(- (+ (pow x 2) (+ (* 1/2 (pow x 4)) (* 2 (log x)))))
243.0ms
(- (log -1) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
236.0ms
(- (+ (pow (log x) 2) (+ (pow x 2) (* (pow x 2) (log x)))) (* 2 (* x (log x))))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.2s24335×body80nan
617.0ms8000×body80valid