Details

Time bar (total: 16.7s)

sample45.0ms

Algorithm
intervals
Results
27.0ms320×body80valid

simplify4.7s

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: 8.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
8.3b
(/ (+ x (* y (- z x))) z)

rewrite73.0ms

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:
25.0ms
(* y (- z x))
7.0ms
(+ x (* y (- z x)))
37.0ms
(/ (+ x (* y (- z x))) z)

series187.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* y (- z x))
56.0ms
(+ x (* y (- z x)))
68.0ms
(/ (+ x (* y (- z x))) z)

simplify2.4s

Counts
79 → 79
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0117903
1260858
2740794
33075794
done5000788

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(- y (/ (- (* x y) x) z))
3.4b
(/ (- (* x y) x) z)

rewrite54.0ms

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:
8.0ms
(- (* x y) x)
20.0ms
(- y (/ (- (* x y) x) z))
24.0ms
(/ (- (* x y) x) z)

series164.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (* x y) x)
31.0ms
(- y (/ (- (* x y) x) z))
77.0ms
(/ (- (* x y) x) z)

simplify1.6s

Counts
67 → 67
Iterations

Useful iterations: 3 (602.0ms)

IterNodesCost
0101828
1232785
2651731
32208727
done5000727

prune217.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(- y (* (- (* x y) x) (/ 1 z)))
3.6b
(* (- (* x y) x) (/ 1 z))

rewrite102.0ms

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:
16.0ms
(- (* x y) x)
11.0ms
(- y (* (- (* x y) x) (/ 1 z)))
72.0ms
(* (- (* x y) x) (/ 1 z))

series170.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x y) x)
44.0ms
(- y (* (- (* x y) x) (/ 1 z)))
60.0ms
(* (- (* x y) x) (/ 1 z))

simplify3.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0123968
1293805
2874713
33444703
done5000703

prune176.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.5b

localize32.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (- (* x y) x) z)
4.3b
(cbrt (/ (- (* x y) x) z))
4.3b
(cbrt (/ (- (* x y) x) z))
4.3b
(cbrt (/ (- (* x y) x) z))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
Counts
4 → 96
Calls
4 calls:
49.0ms
(/ (- (* x y) x) z)
11.0ms
(cbrt (/ (- (* x y) x) z))
11.0ms
(cbrt (/ (- (* x y) x) z))
11.0ms
(cbrt (/ (- (* x y) x) z))

series617.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (- (* x y) x) z)
182.0ms
(cbrt (/ (- (* x y) x) z))
182.0ms
(cbrt (/ (- (* x y) x) z))
171.0ms
(cbrt (/ (- (* x y) x) z))

simplify1.9s

Counts
108 → 108
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01391995
12911927
27621798
323311640
done50001568

prune507.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 3.5b

regimes1.0ms