Details

Time bar (total: 12.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms336×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: 0.6b

localize3.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ 1.0 (* x x))

simplify2.8s

Counts
26 → 26
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune42.0ms

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)

rewrite14.0ms

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:
11.0ms
(/ (/ 1.0 x) x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (/ 1.0 x) x)

simplify3.3s

Counts
75 → 75
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune123.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
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 → 152
Calls
4 calls:
28.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series867.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
207.0ms
(cbrt (/ 1.0 x))
215.0ms
(cbrt (/ 1.0 x))
202.0ms
(cbrt (/ 1.0 x))

simplify2.3s

Counts
164 → 164
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01461894
12251747
26011685
312371616
440081610
done50001571

prune393.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
0.6b
(cbrt (/ 1.0 (cbrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
39×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 99
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
10.0ms
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
3.0ms
(cbrt (/ 1.0 (cbrt x)))

series982.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt (/ 1.0 x))
204.0ms
(cbrt (/ 1.0 x))
282.0ms
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
291.0ms
(cbrt (/ 1.0 (cbrt x)))

simplify1.2s

Counts
111 → 111
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01711136
12481084
24161042
37611030
419391030
done50011024

prune379.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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

sample294.0ms

Algorithm
intervals
Results
149.0ms10802×body80valid