Details

Time bar (total: 21.4s)

sample50.0ms

Algorithm
intervals
Results
31.0ms319×body80valid

simplify10.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
089
1159
2328
3738
41488
52108
62458
72858
83398
94828
106088
117228
128578
139428
149618
1510118
1611558
1712608
1814868
1916228
2018058
2118158
2218178
done18178

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- y x) (* 6.0 z) x)

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(fma (- y x) (* 6.0 z) x)

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
023154
144151
2108135
3325123
41429123
done5000123

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×*-un-lft-identity
7×add-cube-cbrt
6×associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
8.0ms
(+ x (* (* (- y x) 6.0) z))
36.0ms
(* (- y x) 6.0)
74.0ms
(* (* (- y x) 6.0) z)

series176.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ x (* (* (- y x) 6.0) z))
42.0ms
(* (- y x) 6.0)
78.0ms
(* (* (- y x) 6.0) z)

simplify4.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
0104692
1258647
2960553
34907553
done5000553

prune236.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b
(* (- y x) (sqrt 6.0))
0.6b
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
17×add-sqr-sqrt
15×associate-*r*
13×*-un-lft-identity
12×associate-*l/
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l* sqrt-prod
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×flip3-- fma-def *-commutative flip--
2×unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
17.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
274.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
26.0ms
(* (- y x) (sqrt 6.0))
63.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series816.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
251.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
79.0ms
(* (- y x) (sqrt 6.0))
220.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify2.0s

Counts
106 → 106
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01381399
1347984
21317840
done5000827

prune317.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
48.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
11.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
5.0ms
(cbrt (- y x))

series11.0ms