Details

Time bar (total: 510.0ms)

sample63.0ms

Algorithm
intervals
Results
31.0ms77×body1280valid
13.0ms55×body640valid
5.0ms19×body2560valid
2.0ms19×body320valid
2.0ms68×body80valid
1.0ms18×body160valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1108
done108

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) 1.0)
1.0b
(+ x (sqrt (+ (* x x) 1.0)))
3.2b
(log (+ x (sqrt (+ (* x x) 1.0))))
14.7b
(sqrt (+ (* x x) 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
add-sqr-sqrt
add-log-exp
add-cube-cbrt
pow1
add-exp-log
expm1-log1p-u log-prod fma-def flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
sqrt-prod
+-commutative log-div sqrt-div sum-log distribute-lft-out
rem-sqrt-square sqrt-pow1 pow1/2 rem-log-exp log-pow hypot-def
Counts
4 → 66
Calls
4 calls:
3.0ms
(+ (* x x) 1.0)
8.0ms
(+ x (sqrt (+ (* x x) 1.0)))
9.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
9.0ms
(sqrt (+ (* x x) 1.0))

series312.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x x) 1.0)
60.0ms
(+ x (sqrt (+ (* x x) 1.0)))
172.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
43.0ms
(sqrt (+ (* x x) 1.0))

simplify90.0ms

Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0149949
1358794