Details

Time bar (total: 13.7s)

sample29.0ms

Algorithm
intervals
Results
14.0ms312×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
41659
53319
63759
74349
85099
95929
106709
118439
1212179
1313369
1414539
done14539

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.8b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
37.0ms
(* (- 1.0 y) z)
37.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (- 1.0 y) z)
84.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.0s

Counts
52 → 52
Iterations

Useful iterations: 3 (818.0ms)

IterNodesCost
093536
1212518
2649458
32455450
done5001450

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.5b
(* (* x z) (- y 1.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*r*
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*r/
+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
21.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
52.0ms
(* (* x z) (- y 1.0))

series146.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
65.0ms
(* (* x z) (- y 1.0))

simplify4.8s

Counts
47 → 47
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
089589
1255557
2994453
34801451
done5001451

prune115.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x z) y) (* (* x z) (- 1.0)))
0.0b
(+ (* 1.0 x) (+ (* (* x z) y) (* (* x z) (- 1.0))))
2.6b
(* (* x z) y)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log distribute-rgt-neg-out
associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative associate-+r- flip3-+ unsub-neg flip-+
associate-+r+ associate-*l* *-commutative distribute-lft-out
Counts
3 → 47
Calls
3 calls:
33.0ms
(+ (* (* x z) y) (* (* x z) (- 1.0)))
68.0ms
(+ (* 1.0 x) (+ (* (* x z) y) (* (* x z) (- 1.0))))
37.0ms
(* (* x z) y)

series219.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (* (* x z) y) (* (* x z) (- 1.0)))
99.0ms
(+ (* 1.0 x) (+ (* (* x z) y) (* (* x z) (- 1.0))))
34.0ms
(* (* x z) y)

simplify1.5s

Counts
56 → 56
Iterations

Useful iterations: done (1.5s)

IterNodesCost
093811
1284581
21300526
done5001489

prune156.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

2.9b
(* (- (* 1.0 1.0) (* y y)) z)
4.8b
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
6.5b
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
add-cube-cbrt
associate-*r*
pow1 associate-*l*
times-frac associate-*l/ associate-/r*
flip3-- prod-exp flip-- cbrt-unprod add-log-exp
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares unswap-sqr
frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* distribute-lft-out--
Counts
3 → 74
Calls
3 calls:
55.0ms
(* (- (* 1.0 1.0) (* y y)) z)
110.0ms
(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
43.0ms
(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

series1.0ms