Details

Time bar (total: 17.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms340×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: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ 1.0 (* x x))

simplify4.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite22.0ms

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:
12.0ms
(/ (/ 1.0 x) x)

series42.0ms

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

simplify4.4s

Counts
73 → 73
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
20.9b
(cbrt (/ 1.0 (* x x)))
20.9b
(cbrt (/ 1.0 (* x x)))
20.9b
(cbrt (/ 1.0 (* x x)))

rewrite50.0ms

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:
26.0ms
(* (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)))

series1.7s

Counts
4 → 12
Calls
4 calls:
686.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
352.0ms
(cbrt (/ 1.0 (* x x)))
350.0ms
(cbrt (/ 1.0 (* x x)))
264.0ms
(cbrt (/ 1.0 (* x x)))

simplify2.2s

Counts
120 → 120
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0931618
11481513
23881421
38261313
423771305
done50011260

prune322.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (pow (cbrt 1.0) 2) (* (cbrt (* x x)) (cbrt (* x x))))
20.9b
(cbrt (/ 1.0 (* x x)))
20.9b
(cbrt (* x x))
20.9b
(cbrt (* x x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
15×cbrt-prod
14×times-frac
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
11×associate-/l*
add-cbrt-cube
div-exp
pow1 add-log-exp
pow1/3 prod-exp
cbrt-undiv pow-to-exp pow-exp div-inv unpow2 sqr-pow
cbrt-div frac-2neg clear-num associate-/r* cbrt-unprod
Counts
4 → 75
Calls
4 calls:
36.0ms
(/ (pow (cbrt 1.0) 2) (* (cbrt (* x x)) (cbrt (* x x))))
5.0ms
(cbrt (/ 1.0 (* x x)))
4.0ms
(cbrt (* x x))
8.0ms
(cbrt (* x x))

series1.3s

Counts
4 → 12
Calls
4 calls:
335.0ms
(/ (pow (cbrt 1.0) 2) (* (cbrt (* x x)) (cbrt (* x x))))
355.0ms
(cbrt (/ 1.0 (* x x)))
318.0ms
(cbrt (* x x))
312.0ms
(cbrt (* x x))

simplify2.3s

Counts
87 → 87
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01261101
12391038
2547919
32142884
done5000868

prune335.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample563.0ms

Algorithm
intervals
Results
287.0ms10718×body80valid