Details

Time bar (total: 11.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms314×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2189
3329
4449
5549
6729
71069
81569
92119
102899
114929
1213909
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
12.3b
(/ (+ x (* y (- z x))) z)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
23.0ms
(* y (- z x))
8.0ms
(+ x (* y (- z x)))
31.0ms
(/ (+ x (* y (- z x))) z)

series123.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* y (- z x))
32.0ms
(+ x (* y (- z x)))
51.0ms
(/ (+ x (* y (- z x))) z)

simplify2.0s

Counts
79 → 79
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0117903
1260858
2740794
33075794
done5000788

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(- y (/ (- (* x y) x) z))
5.1b
(/ (- (* x y) x) z)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 flip3-- associate-/r* flip-- associate-/l*
2×sub-neg diff-log div-sub associate-/l/ difference-of-squares
1×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out-- associate--r-
Counts
3 → 58
Calls
3 calls:
12.0ms
(- (* x y) x)
21.0ms
(- y (/ (- (* x y) x) z))
26.0ms
(/ (- (* x y) x) z)

series132.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (* x y) x)
29.0ms
(- y (/ (- (* x y) x) z))
61.0ms
(/ (- (* x y) x) z)

simplify1.5s

Counts
67 → 67
Iterations

Useful iterations: 3 (514.0ms)

IterNodesCost
0101828
1232785
2651731
32208727
done5000727

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(- y (* (- (* x y) x) (/ 1 z)))
5.2b
(* (- (* x y) x) (/ 1 z))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×associate-*r*
12×add-exp-log *-un-lft-identity
11×add-cube-cbrt times-frac
8×add-cbrt-cube
7×add-log-exp
5×pow1
4×flip3-- prod-exp flip--
3×associate-*l* unswap-sqr
2×frac-times sub-neg diff-log div-exp associate-*l/ cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
3 → 64
Calls
3 calls:
17.0ms
(- (* x y) x)
8.0ms
(- y (* (- (* x y) x) (/ 1 z)))
48.0ms
(* (- (* x y) x) (/ 1 z))

series146.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* x y) x)
35.0ms
(- y (* (- (* x y) x) (/ 1 z)))
62.0ms
(* (- (* x y) x) (/ 1 z))

simplify2.6s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0123968
1293805
2874713
33444703
done5000703

prune135.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(- y (/ 1 (/ z (- (* x y) x))))
0.3b
(/ 1 (/ z (- (* x y) x)))
5.1b
(/ z (- (* x y) x))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
70×add-sqr-sqrt
61×*-un-lft-identity
56×add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×div-exp add-log-exp
7×flip3-- flip-- div-inv
6×associate-/l*
5×pow1 difference-of-squares
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num distribute-lft-out--
1×pow-flip inv-pow
Counts
4 → 144
Calls
4 calls:
9.0ms
(- (* x y) x)
45.0ms
(- y (/ 1 (/ z (- (* x y) x))))
23.0ms
(/ 1 (/ z (- (* x y) x)))
15.0ms
(/ z (- (* x y) x))

series15.0ms