Details

Time bar (total: 20.8s)

sample25.0ms

Algorithm
intervals
Results
12.0ms345×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
12.0ms
(/ 1.0 (* x x))

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ 1.0 (* x x))

simplify5.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune49.0ms

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)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

series37.0ms

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

simplify5.8s

Counts
73 → 73
Iterations

Useful iterations: done (5.8s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune159.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×cbrt-prod
22×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 208
Calls
4 calls:
18.0ms
(/ (/ 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:
344.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
272.0ms
(cbrt x)
266.0ms
(cbrt x)
297.0ms
(cbrt x)

simplify2.4s

Counts
220 → 220
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02873293
16353070
212912840
337962794
done50002785

prune642.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite67.0ms

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*
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 → 108
Calls
4 calls:
40.0ms
(* (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)))

series1.6s

Counts
4 → 12
Calls
4 calls:
439.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
367.0ms
(cbrt (/ 1.0 (* x x)))
381.0ms
(cbrt (/ 1.0 (* x x)))
412.0ms
(cbrt (/ 1.0 (* x x)))

simplify2.4s

Counts
120 → 120
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0931618
11481513
23881421
38261313
423771305
done50011260

prune402.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.2b 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

sample604.0ms

Algorithm
intervals
Results
282.0ms10641×body80valid