Details

Time bar (total: 11.6s)

sample70.0ms

Algorithm
intervals
Results
44.0ms365×body80valid

simplify264.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
7.2b
(/ t (* (* z 3.0) y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down add-log-exp
2×frac-2neg clear-num associate-/r* div-inv
1×associate-*l* *-commutative
Counts
3 → 62
Calls
3 calls:
11.0ms
(/ y (* z 3.0))
19.0ms
(* (* z 3.0) y)
28.0ms
(/ t (* (* z 3.0) y))

series82.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ y (* z 3.0))
22.0ms
(* (* z 3.0) y)
39.0ms
(/ t (* (* z 3.0) y))

simplify1.9s

Counts
71 → 71
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
0102623
1253609
21147493
done5001493

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.6b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
68.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series994.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt t)
301.0ms
(cbrt t)
327.0ms
(cbrt t)
75.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify1.5s

Counts
107 → 107
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01561479
14581407
22469991
done5001857

prune434.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
4.4b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
34×add-cbrt-cube
23×add-sqr-sqrt
20×times-frac
18×div-exp prod-exp
17×*-un-lft-identity
16×add-cube-cbrt
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
7×associate-*l*
6×associate-/l*
5×pow1
4×div-inv
3×rec-exp 1-exp add-log-exp unswap-sqr
2×frac-2neg clear-num associate-/r*
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
3 → 96
Calls
3 calls:
8.0ms
(/ t (* z 3.0))
9.0ms
(/ y (* z 3.0))
40.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series95.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ t (* z 3.0))
26.0ms
(/ y (* z 3.0))
42.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify2.3s

Counts
105 → 105
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
01591117
1407974
21374774
done5000774

prune353.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.4b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
63×add-sqr-sqrt
57×*-un-lft-identity
56×add-cube-cbrt
52×add-exp-log
34×add-cbrt-cube
19×div-exp
17×prod-exp
16×associate-/l*
13×associate-*r*
12×cbrt-undiv
9×cbrt-unprod
8×div-inv
7×associate-*l*
5×pow1
4×associate-/r*
3×rec-exp 1-exp add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/
Counts
3 → 145
Calls
3 calls:
17.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ y z) 3.0)
57.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series94.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ t (* z 3.0))
29.0ms
(/ (/ y z) 3.0)
39.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify2.3s

Counts
154 → 154
Iterations

Useful iterations: 2 (616.0ms)

IterNodesCost
02681794
16471605
218711403
done50001403

prune600.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes2.0ms