Details

Time bar (total: 18.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms340×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 1.0 (* x x))

rewrite19.0ms

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 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:
18.0ms
(/ 1.0 (* x x))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ 1.0 (* x x))

simplify4.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite15.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
12.0ms
(/ (/ 1.0 x) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (/ 1.0 x) x)

simplify5.2s

Counts
75 → 75
Iterations

Useful iterations: done (5.2s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune161.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite58.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 116
Calls
4 calls:
37.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
6.0ms
(cbrt (/ 1.0 (* x x)))
5.0ms
(cbrt (/ 1.0 (* x x)))
5.0ms
(cbrt (/ 1.0 (* x x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
331.0ms
(cbrt (/ 1.0 (* x x)))
300.0ms
(cbrt (/ 1.0 (* x x)))
291.0ms
(cbrt (/ 1.0 (* x x)))

simplify2.2s

Counts
128 → 128
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0971688
11521583
23951491
38281375
423841367
done50001320

prune327.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite36.0ms

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*
7×add-cbrt-cube
6×div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 prod-exp
2×cbrt-undiv pow-to-exp pow-exp div-inv unpow2 sqr-pow
1×cbrt-div frac-2neg clear-num associate-/r* cbrt-unprod
Counts
4 → 83
Calls
4 calls:
21.0ms
(/ (pow (cbrt 1.0) 2) (* (cbrt (* x x)) (cbrt (* x x))))
5.0ms
(cbrt (/ 1.0 (* x x)))
4.0ms
(cbrt (* x x))
4.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
366.0ms
(/ (pow (cbrt 1.0) 2) (* (cbrt (* x x)) (cbrt (* x x))))
289.0ms
(cbrt (/ 1.0 (* x x)))
231.0ms
(cbrt (* x x))
281.0ms
(cbrt (* x x))

simplify1.8s

Counts
95 → 95
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01321165
12471102
2553983
32133948
done5001932

prune386.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes118.0ms

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

sample620.0ms

Algorithm
intervals
Results
305.0ms10718×body80valid