Details

Time bar (total: 2.3s)

sample25.0ms

Algorithm
intervals
Results
13.0ms298×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2197
3437
done437

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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)
23.0ms
(* (+ x 1.0) y)

series53.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- (* (+ x 1.0) y) x)
31.0ms
(* (+ x 1.0) y)

simplify1.7s

Counts
39 → 39
Iterations

Useful iterations: 3 (687.0ms)

IterNodesCost
063360
1149332
2526322
32193304
done5000304

prune113.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*l*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*l/
8×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*r/ *-commutative unswap-sqr
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 pow1/2 diff-log flip--
Counts
4 → 83
Calls
4 calls:
8.0ms
(sqrt (+ x 1.0))
73.0ms
(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
27.0ms
(* (sqrt (+ x 1.0)) y)
90.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series135.0ms

Calls
1 calls:
55.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))