Details

Time bar (total: 15.7s)

sample22.0ms

Algorithm
intervals
Results
11.0ms346×body80valid

simplify4.1s

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: 0.4b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) z)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
15.0ms
(+ x (* (* (- y x) 6.0) z))
45.0ms
(* (- y x) 6.0)
71.0ms
(* (* (- y x) 6.0) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ x (* (* (- y x) 6.0) z))
33.0ms
(* (- y x) 6.0)
48.0ms
(* (* (- y x) 6.0) z)

simplify4.2s

Counts
62 → 62
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
098644
1245603
2914521
34600521
done5000521

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
16.0ms
(+ x (* (- y x) (* z 6.0)))
56.0ms
(* (- y x) (* z 6.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ x (* (- y x) (* z 6.0)))
57.0ms
(* (- y x) (* z 6.0))

simplify2.6s

Counts
39 → 39
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
075468
1206438
2690376
33183376
done5000376

prune120.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
7.0ms
(+ x (* (* (- y x) z) 6.0))
36.0ms
(* (- y x) z)
42.0ms
(* (* (- y x) z) 6.0)

series155.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ x (* (* (- y x) z) 6.0))
39.0ms
(* (- y x) z)
47.0ms
(* (* (- y x) z) 6.0)

simplify3.5s

Counts
62 → 62
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
096638
1241603
2848517
33920517
done5000517

prune166.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) (* z 6.0))) (cbrt (* (- y x) (* z 6.0))))
2.9b
(cbrt (* (- y x) (* z 6.0)))
2.9b
(cbrt (* (- y x) (* z 6.0)))
2.9b
(cbrt (* (- y x) (* z 6.0)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
55.0ms
(* (cbrt (* (- y x) (* z 6.0))) (cbrt (* (- y x) (* z 6.0))))
34.0ms
(cbrt (* (- y x) (* z 6.0)))
16.0ms
(cbrt (* (- y x) (* z 6.0)))
17.0ms
(cbrt (* (- y x) (* z 6.0)))

series19.0ms