Details

Time bar (total: 13.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms339×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1.0 (* x x))

rewrite4.0ms

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:
3.0ms
(/ 1.0 (* x x))

series27.0ms

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

simplify3.3s

Counts
24 → 24
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
043185
194182
2275152
31009152
43808152
done5000152

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

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:
6.0ms
(/ (/ 1.0 x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (/ 1.0 x) x)

simplify2.2s

Counts
73 → 73
Iterations

Useful iterations: 3 (691.0ms)

IterNodesCost
0140862
1311813
2746757
32175745
done5000745

prune125.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series790.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (cbrt x) (cbrt x))
190.0ms
(cbrt x)
186.0ms
(cbrt x)
190.0ms
(cbrt x)

simplify3.3s

Counts
85 → 85
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
061524
1115417
2327397
31169379
43727374
done5000374

prune175.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1.0 x) (cbrt (* x x)))
0.2b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.5b
(cbrt x)
21.7b
(cbrt (* x x))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
462×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
280×cbrt-prod
69×associate-/l*
42×div-inv
18×add-exp-log
11×add-cbrt-cube
10×associate-/r*
9×cbrt-undiv div-exp
4×pow1 add-log-exp
2×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 519
Calls
4 calls:
6.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
22.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series665.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
45.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
189.0ms
(cbrt x)
192.0ms
(cbrt (* x x))

simplify733.0ms

Counts
531 → 531
Iterations

Useful iterations: done (713.0ms)

IterNodesCost
080812103
1180011076
done500011050

prune1.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes100.0ms

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

sample290.0ms

Algorithm
intervals
Results
165.0ms10635×body80valid