Details

Time bar (total: 17.8s)

sample14.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
associate-/l* difference-of-squares
add-exp-log associate-/r* add-cbrt-cube
associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
22.0ms
(/ (- (* x x) 3.0) 6.0)

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.4s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
078451
1174438
2399406
3938406
42545405
done5002405

prune115.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ x 6.0) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
30.0ms
(* (/ x 6.0) x)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (/ x 6.0) x)

simplify5.7s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
063261
1147256
2369216
3892216
42093212
done5001212

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (* x x) 6.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
16.0ms
(/ (* x x) 6.0)

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (* x x) 6.0)

simplify5.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
046186
199179
2292149
3912149
42126149
done5000149

prune65.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ x (/ 6.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
10.0ms
(/ x (/ 6.0 x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ x (/ 6.0 x))

simplify3.7s

Counts
73 → 73
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0145880
1301813
21036747
33471735
done5000726

prune153.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes0.0ms