Details

Time bar (total: 14.8s)

sample76.0ms

Algorithm
intervals
Results
45.0ms479×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize19.0ms

Local error

Found 2 expressions with local error:

20.2b
(/ (* z z) (* t t))
20.8b
(/ (* x x) (* y y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
18.0ms
(/ (* z z) (* t t))
36.0ms
(/ (* x x) (* y y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (* z z) (* t t))
40.0ms
(/ (* x x) (* y y))

simplify4.3s

Counts
48 → 48
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
090538
1239522
2910356
33578326
done5000326

prune141.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
20.2b
(/ (* z z) (* t t))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
23.0ms
(* (/ x y) (/ x y))
14.0ms
(/ (* z z) (* t t))

series105.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (/ x y) (/ x y))
59.0ms
(/ (* z z) (* t t))

simplify2.1s

Counts
94 → 94
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01531119
14321023
21549820
done5001784

prune374.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
43.0ms
(* (/ x y) (/ x y))
49.0ms
(* (/ z t) (/ z t))

series94.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (/ x y) (/ x y))
52.0ms
(* (/ z t) (/ z t))

simplify2.0s

Counts
140 → 140
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02111700
16231524
221991284
done50001222

prune527.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
37.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
3.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))
9.0ms
(cbrt (/ z t))

series459.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
115.0ms
(cbrt (/ z t))
100.0ms
(cbrt (/ z t))
106.0ms
(cbrt (/ z t))

simplify3.5s

Counts
156 → 156
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01611876
12581747
26641675
313281601
431491520
done50001434

prune652.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes15.0ms