Details

Time bar (total: 5.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms289×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2197
3437
done437

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
22.0ms
(- (* (+ x 1.0) y) x)
27.0ms
(* (+ x 1.0) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- (* (+ x 1.0) y) x)
49.0ms
(* (+ x 1.0) y)

simplify1.8s

Counts
39 → 39
Iterations

Useful iterations: 3 (733.0ms)

IterNodesCost
063360
1149332
2526322
32193304
done5000304

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(sqrt (+ x 1.0))
0.0b
(* (sqrt (+ x 1.0)) y)
0.1b
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
14.0ms
(sqrt (+ x 1.0))
17.0ms
(sqrt (+ x 1.0))
46.0ms
(* (sqrt (+ x 1.0)) y)
109.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ x 1.0))
52.0ms
(sqrt (+ x 1.0))
146.0ms
(* (sqrt (+ x 1.0)) y)
33.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify2.1s

Counts
99 → 99
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01291201
1315973
2862875
32460867
done5000865

prune308.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes0.0ms