Details

Time bar (total: 12.3s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
50.0ms
(/ (+ x 1.0) (- 1.0 x))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify3.0s

Counts
48 → 48
Iterations

Useful iterations: done (3.0s)

IterNodesCost
091630
1206607
2539569
31208560
43098560
done5000556

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
94×add-sqr-sqrt
74×times-frac
61×sqrt-prod
46×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
14×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×associate-*l* associate-/l*
6×unswap-sqr
5×flip3-+ associate-/r* flip-+
4×associate-/r/ add-log-exp
2×cbrt-undiv frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 167
Calls
4 calls:
14.0ms
(sqrt (+ x 1.0))
12.0ms
(sqrt (+ x 1.0))
23.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))
84.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ x 1.0))
38.0ms
(sqrt (+ x 1.0))
140.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))
56.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

simplify4.0s

Counts
179 → 179
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
02062737
14732363
214332188
346742132
done50012132

prune415.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
4.2b
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
14.0b
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
286×add-sqr-sqrt
257×*-un-lft-identity
201×times-frac
144×difference-of-squares
108×unpow-prod-down cube-prod
106×associate-*l*
72×sqr-pow
65×add-cube-cbrt
51×distribute-lft-out
45×distribute-lft-out--
25×associate-/r*
10×add-exp-log add-cbrt-cube
9×difference-cubes
5×pow1 add-log-exp
4×flip3-+ associate-/r/ flip-+ associate-/l*
3×associate-*r*
2×cbrt-undiv frac-times flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in distribute-rgt-out frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 288
Calls
3 calls:
8.0ms
(+ (* x x) (* 1.0 x))
55.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
218.0ms
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series250.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (* x x) (* 1.0 x))
70.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
104.0ms
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify2.8s

Counts
297 → 297
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03136997
110556288
240936090
done50016090

prune797.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms