Details

Time bar (total: 10.7s)

sample53.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
14.0ms248×body80nan

simplify166.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011284
121284
236284
354284
470284
593284
6104284
7106284
8107284
done107284

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
23.0ms
(* 6.0 (- x 1.0))
57.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series228.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
57.0ms
(* 6.0 (- x 1.0))
119.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.6s

Counts
73 → 73
Iterations

Useful iterations: done (1.6s)

IterNodesCost
013419701
138517260
2131516696
done500016536

prune372.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
22.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
82.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
47.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series282.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
107.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
119.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify2.9s

Counts
163 → 163
Iterations

Useful iterations: done (2.9s)

IterNodesCost
026582976
171976973
2249474991
done500474868

prune753.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube add-exp-log
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×associate-/r* sum-log flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
3 → 93
Calls
3 calls:
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
45.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series280.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
131.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
100.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.7s

Counts
102 → 102
Iterations

Useful iterations: done (1.7s)

IterNodesCost
016137802
145534118
2159733314
done500433154

prune455.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.2b
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
108×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
63×sqrt-prod
36×associate-*r*
24×associate-*l*
20×add-cbrt-cube add-exp-log
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/ associate-/l*
7×pow1
6×cbrt-undiv div-exp
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv add-log-exp
2×clear-num frac-2neg associate-/l/
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 203
Calls
4 calls:
24.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
45.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
232.0ms
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
55.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series608.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
160.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
127.0ms
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
209.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify384.0ms

Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
0271105386