Details

Time bar (total: 17.8s)

sample24.0ms

Algorithm
intervals
Results
12.0ms345×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
15.0ms
(/ 1.0 (* x x))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ 1.0 (* x x))

simplify4.4s

Counts
24 → 24
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
19.0ms
(/ (/ 1.0 x) x)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (/ 1.0 x) x)

simplify5.3s

Counts
73 → 73
Iterations

Useful iterations: done (5.3s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune163.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
492×times-frac
264×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
258×cbrt-prod
126×sqrt-prod
40×associate-/l*
add-exp-log
div-inv
associate-/r* add-cbrt-cube
pow1 add-log-exp
cbrt-undiv pow1/3 div-exp
frac-2neg clear-num associate-/l/
Counts
4 → 334
Calls
4 calls:
23.0ms
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
324.0ms
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
260.0ms
(cbrt x)
250.0ms
(cbrt x)
214.0ms
(cbrt x)

simplify2.3s

Counts
346 → 346
Iterations

Useful iterations: done (2.3s)

IterNodesCost
04006251
18625700
215895332
342705253
done50005235

prune772.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
19.7b
(cbrt (/ 1.0 (* x x)))
19.7b
(cbrt (/ 1.0 (* x x)))
19.7b
(cbrt (/ 1.0 (* x x)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
40×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt *-un-lft-identity
11×pow1
10×swap-sqr associate-*r* associate-*l*
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 108
Calls
4 calls:
47.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
5.0ms
(cbrt (/ 1.0 (* x x)))
5.0ms
(cbrt (/ 1.0 (* x x)))
10.0ms
(cbrt (/ 1.0 (* x x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
324.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
312.0ms
(cbrt (/ 1.0 (* x x)))
325.0ms
(cbrt (/ 1.0 (* x x)))
291.0ms
(cbrt (/ 1.0 (* x x)))

simplify1.9s

Counts
120 → 120
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0931618
11481513
23881421
38261313
423771305
done50011260

prune361.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes2.0ms