Details

Time bar (total: 15.2s)

sample269.0ms

Algorithm
intervals
Results
144.0ms115×body1280valid
58.0ms82×body640valid
29.0ms245×body80nan
15.0ms33×body320valid
5.0ms19×body160valid
1.0msbody80valid

simplify301.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize26.0ms

Local error

Found 2 expressions with local error:

5.0b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
52×add-sqr-sqrt
48×times-frac
30×log-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
distribute-lft-out--
add-exp-log
associate-/r*
add-cbrt-cube associate-/r/ associate-/l*
pow1
expm1-log1p-u flip3-- div-exp rem-log-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp associate-/l/
cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 97
Calls
2 calls:
Slowest
38.0ms
(/ (+ x 1) (- 1 x))
13.0ms
(log (/ (+ x 1) (- 1 x)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
98.0ms
(log (/ (+ x 1) (- 1 x)))
38.0ms
(/ (+ x 1) (- 1 x))

simplify915.0ms

Counts
103 → 103

prune591.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 2/3 x)
0.1b
(* (* 2/3 x) x)
0.0b
(* x (+ (* (* 2/3 x) x) 2))
0.0b
(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
*-un-lft-identity associate-*r* add-cube-cbrt
associate-*l*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
*-commutative
associate-*r/ unswap-sqr
distribute-rgt-in distribute-lft-in flip3-+ flip-+ fma-udef
Counts
4 → 78
Calls
4 calls:
Slowest
61.0ms
(* x (+ (* (* 2/3 x) x) 2))
13.0ms
(* (* 2/3 x) x)
10.0ms
(* 2/3 x)
0.0ms
(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(* x (+ (* (* 2/3 x) x) 2))
70.0ms
(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
45.0ms
(* (* 2/3 x) x)
17.0ms
(* 2/3 x)

simplify1.5s

Counts
90 → 90

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 2/3 x)
0.1b
(* (* 2/3 x) x)
0.1b
(* (* (* 2/3 x) x) x)
0.0b
(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
associate-*r*
*-un-lft-identity add-cube-cbrt
associate-*l*
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
*-commutative
fma-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
Slowest
71.0ms
(* (* (* 2/3 x) x) x)
33.0ms
(* (* 2/3 x) x)
10.0ms
(* 2/3 x)
0.0ms
(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(* (* (* 2/3 x) x) x)
73.0ms
(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))
47.0ms
(* (* 2/3 x) x)
16.0ms
(* 2/3 x)

simplify1.1s

Counts
89 → 89

prune839.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.7s

Algorithm
intervals
Results
3.6s3436×body1280valid
2.2s2492×body640valid
1.0s8192×body80nan
485.0ms1248×body320valid
182.0ms609×body160valid
26.0ms215×body80valid