Details

Time bar (total: 24.7s)

sample39.0ms

Algorithm
intervals
Results
20.0ms320×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1159
2299
3659
41289
51589
61679
71849
82339
93009
103269
113749
124489
134669
144819
154979
165839
176429
188129
198809
209959
219999
done9999

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
add-cube-cbrt associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
14.0ms
(+ x (* (* (- y x) 6.0) z))
43.0ms
(* (- y x) 6.0)
71.0ms
(* (* (- y x) 6.0) z)

series210.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (* (* (- y x) 6.0) z))
51.0ms
(* (- y x) 6.0)
72.0ms
(* (* (- y x) 6.0) z)

simplify4.4s

Counts
62 → 62
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
098644
1245603
2914521
34600521
done5000521

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* z 6.0)))
0.2b
(* (- y x) (* z 6.0))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*l*
add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*l/
+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ x (* (- y x) (* z 6.0)))
76.0ms
(* (- y x) (* z 6.0))

series134.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(+ x (* (- y x) (* z 6.0)))
43.0ms
(* (- y x) (* z 6.0))

simplify2.7s

Counts
39 → 39
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
075468
1206438
2690376
33183376
done5000376

prune133.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
add-cube-cbrt associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
9.0ms
(+ x (* (* (- y x) z) 6.0))
27.0ms
(* (- y x) z)
48.0ms
(* (* (- y x) z) 6.0)

series174.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ x (* (* (- y x) z) 6.0))
56.0ms
(* (- y x) z)
48.0ms
(* (* (- y x) z) 6.0)

simplify3.8s

Counts
62 → 62
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
096638
1241603
2848517
33920517
done5000517

prune149.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
18.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.3s

Counts
4 → 12
Calls
4 calls:
388.0ms
(* (cbrt z) (cbrt z))
329.0ms
(cbrt z)
289.0ms
(cbrt z)
300.0ms
(cbrt z)

simplify6.2s

Counts
85 → 85
Iterations

Useful iterations: done (6.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune328.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes2.0ms