Details

Time bar (total: 18.2s)

sample89.0ms

Algorithm
intervals
Results
51.0ms75×body1280valid
18.0ms56×body640valid
3.0ms21×body320valid
3.0ms88×body80valid
2.0ms85×body80nan
1.0ms16×body160valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b
(log (+ 1.0 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
5.0ms
(log (+ 1.0 x))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(log (+ 1.0 x))

simplify3.9s

Counts
18 → 18
Iterations

Useful iterations: 5 (2.0s)

IterNodesCost
058178
1123171
2260151
3528151
41197146
53028140
done5000140

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
0.2b
(/ -1/2 (/ (* 1.0 1.0) x))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
22×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp div-inv
4×pow1 associate-*r*
3×associate-*l* associate-/l*
2×associate-*r/ prod-exp cbrt-unprod add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num associate-/r/ *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 71
Calls
2 calls:
96.0ms
(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
12.0ms
(/ -1/2 (/ (* 1.0 1.0) x))

series129.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
18.0ms
(/ -1/2 (/ (* 1.0 1.0) x))

simplify3.9s

Counts
77 → 77
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
0146994
1354928
21127852
34629842
done5001842

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
0.2b
(/ -1/2 (/ (* 1.0 1.0) x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp div-inv
4×add-log-exp
3×associate-/l*
2×pow1
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log associate-/r/ cbrt-unprod flip-+ distribute-lft-out
Counts
2 → 60
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
12.0ms
(/ -1/2 (/ (* 1.0 1.0) x))

series127.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
29.0ms
(/ -1/2 (/ (* 1.0 1.0) x))

simplify4.2s

Counts
66 → 66
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
0138915
1335837
21098763
34518747
done5000747

prune255.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ 1.0 (log (exp (/ -1/2 (/ (* 1.0 1.0) x))))))
0.2b
(/ -1/2 (/ (* 1.0 1.0) x))
4.9b
(log (exp (/ -1/2 (/ (* 1.0 1.0) x))))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
63×times-frac
39×*-un-lft-identity
38×add-sqr-sqrt
36×add-cube-cbrt
28×log-pow
26×exp-prod
14×add-exp-log add-cbrt-cube
9×div-inv
7×pow1 associate-/r*
5×cbrt-undiv div-exp associate-*r*
3×log-prod associate-*l* associate-/l* add-log-exp
2×associate-*r/ prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ unswap-sqr
Counts
3 → 110
Calls
3 calls:
240.0ms
(* x (+ 1.0 (log (exp (/ -1/2 (/ (* 1.0 1.0) x))))))
15.0ms
(/ -1/2 (/ (* 1.0 1.0) x))
20.0ms
(log (exp (/ -1/2 (/ (* 1.0 1.0) x))))

series200.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(* x (+ 1.0 (log (exp (/ -1/2 (/ (* 1.0 1.0) x))))))
35.0ms
(/ -1/2 (/ (* 1.0 1.0) x))
32.0ms
(log (exp (/ -1/2 (/ (* 1.0 1.0) x))))

simplify4.1s

Counts
119 → 119
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
02131504
14181283
212361193
349341179
done50011179

prune436.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes2.0ms