Details

Time bar (total: 18.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite9.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
8.0ms
(/ 1.0 (* x x))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ 1.0 (* x x))

simplify4.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite30.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (/ 1.0 x) x)

simplify4.9s

Counts
75 → 75
Iterations

Useful iterations: done (4.9s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune177.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite79.0ms

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 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
frac-2neg clear-num associate-/l/
Counts
4 → 342
Calls
4 calls:
45.0ms
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
334.0ms
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
328.0ms
(cbrt x)
256.0ms
(cbrt x)
295.0ms
(cbrt x)

simplify2.6s

Counts
354 → 354
Iterations

Useful iterations: done (2.6s)

IterNodesCost
04046287
18665736
215985364
342715285
done50005267

prune958.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite85.0ms

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
expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 116
Calls
4 calls:
51.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
10.0ms
(cbrt (/ 1.0 (* x x)))
10.0ms
(cbrt (/ 1.0 (* x x)))
10.0ms
(cbrt (/ 1.0 (* x x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
338.0ms
(cbrt (/ 1.0 (* x x)))
355.0ms
(cbrt (/ 1.0 (* x x)))
342.0ms
(cbrt (/ 1.0 (* x x)))

simplify2.8s

Counts
128 → 128
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0971688
11521583
23951491
38281375
423841367
done50001320

prune408.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes1.0ms