Details

Time bar (total: 23.2s)

sample38.0ms

Algorithm
intervals
Results
20.0ms325×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3589
4939
51219
61399
71599
81929
92499
102789
113139
123499
133749
143909
154779
165689
178189
1811439
1915709
2016559
2116569
done16569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.6b
(* (- y x) (/ z t))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
22.0ms
(+ x (* (- y x) (/ z t)))
55.0ms
(* (- y x) (/ z t))

series122.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ x (* (- y x) (/ z t)))
53.0ms
(* (- y x) (/ z t))

simplify3.3s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0115669
1293627
21083581
34484557
done5001557

prune238.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.6b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
75.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series833.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt t)
258.0ms
(cbrt t)
222.0ms
(cbrt t)
105.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01511411
14351355
218151035
done5000944

prune447.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.9b
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
0.9b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
94×times-frac
93×cbrt-prod
85×add-exp-log
67×*-un-lft-identity
62×associate-*l*
51×add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
8×distribute-lft-out-- difference-of-squares
6×frac-times associate-*r/
4×cbrt-div pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×flip3-- pow1/3 *-commutative flip--
Counts
4 → 197
Calls
4 calls:
8.0ms
(cbrt (- y x))
8.0ms
(cbrt (- y x))
119.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
126.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series1.3s

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (- y x))
227.0ms
(cbrt (- y x))
745.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
90.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify2.3s

Counts
209 → 209
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03184248
19024127
230593270
done50012982

prune947.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (* (/ (cbrt (- y x)) (cbrt t)) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt z) (cbrt (cbrt t)))))

rewrite646.0ms

Algorithm
rewrite-expression-head
Rules
292×add-exp-log
150×prod-exp cbrt-unprod
106×add-cbrt-cube
93×cbrt-undiv div-exp
17×frac-times
13×pow1 associate-*r/
12×cbrt-prod
11×associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac pow-prod-down
4×add-log-exp
3×pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 160
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
632.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (* (/ (cbrt (- y x)) (cbrt t)) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt z) (cbrt (cbrt t)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt z)
309.0ms
(cbrt z)
365.0ms
(cbrt z)
63.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (* (/ (cbrt (- y x)) (cbrt t)) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt z) (cbrt (cbrt t)))))

simplify3.1s

Counts
172 → 172
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02777543
18617242
245574196
done50003452

prune639.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes3.0ms