Details

Time bar (total: 23.3s)

sample54.0ms

Algorithm
intervals
Results
33.0ms320×body80valid

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4849
51129
61309
71479
81889
92459
102749
113079
123439
133689
143849
154719
165629
178119
1811389
1915739
2016559
2116569
done16569

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.0b
(/ (* y (- z x)) t)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
40.0ms
(* y (- z x))
19.0ms
(+ x (/ (* y (- z x)) t))
32.0ms
(/ (* y (- z x)) t)

series165.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* y (- z x))
43.0ms
(+ x (/ (* y (- z x)) t))
79.0ms
(/ (* y (- z x)) t)

simplify3.1s

Counts
70 → 70
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
0113722
1290679
2893589
34319589
done5000589

prune214.0ms

Pruning

9 alts after pruning (9 fresh and 0 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)
5.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
110.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt t)
274.0ms
(cbrt t)
310.0ms
(cbrt t)
151.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.4s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune404.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
1.3b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
1.8b
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
118.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
123.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
347.0ms
(cbrt t)
364.0ms
(cbrt t)
89.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
406.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

simplify2.4s

Counts
201 → 201
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02873776
18333615
233682868
done50022664

prune897.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))
1.3b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt t) (cbrt t)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))))
1.5b
(* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
254×cbrt-prod
208×add-exp-log
200×add-sqr-sqrt
164×times-frac
102×prod-exp cbrt-unprod
95×associate-*l*
93×*-un-lft-identity
92×add-cbrt-cube
81×add-cube-cbrt
65×cbrt-undiv div-exp
35×associate-*r*
30×unswap-sqr
18×frac-times associate-*r/
15×pow1
8×associate-*l/
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 295
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
10.0ms
(cbrt (* (cbrt y) (cbrt y)))
326.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt t) (cbrt t)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))))
126.0ms
(* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
410.0ms
(cbrt (cbrt y))
472.0ms
(cbrt (* (cbrt y) (cbrt y)))
114.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt t) (cbrt t)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))))
408.0ms
(* (/ (cbrt (cbrt y)) (cbrt (cbrt t))) (/ (- z x) (cbrt t)))

simplify835.0ms

Counts
307 → 307
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
04499076
113138837
done50007207

prune2.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes299.0ms

bsearch9.0ms