Details

Time bar (total: 15.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize5.0ms

Local error

Found 1 expressions with local error:

14.7b
(cbrt (/ g (* 2.0 a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
2.0ms
(cbrt (/ g (* 2.0 a)))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(cbrt (/ g (* 2.0 a)))

simplify2.9s

Counts
21 → 21
Iterations

Useful iterations: 5 (668.0ms)

IterNodesCost
064213
196210
2156196
3327190
4769181
51960177
done5000177

prune65.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/l*
add-exp-log
associate-/r*
pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
4.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
0.0ms
(cbrt g)
2.0ms
(cbrt (* 2.0 a))

series501.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
176.0ms
(cbrt g)
201.0ms
(cbrt (* 2.0 a))

simplify1.9s

Counts
81 → 81
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
0129817
1212788
2447750
31168737
44137728
done5001728

prune217.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
0.3b
(/ (cbrt (* 2.0 a)) (cbrt g))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
239×cbrt-prod
185×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×associate-/r*
11×add-exp-log
10×associate-/l*
div-inv
add-cbrt-cube
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
frac-2neg pow1/3 clear-num
associate-/r/
Counts
4 → 291
Calls
4 calls:
14.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
3.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
0.0ms
(cbrt g)
2.0ms
(cbrt (* 2.0 a))

series617.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
110.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
179.0ms
(cbrt g)
203.0ms
(cbrt (* 2.0 a))

simplify4.2s

Counts
303 → 303
Iterations

Useful iterations: done (4.2s)

IterNodesCost
04055694
18325048
223354414
done50014068

prune488.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt (/ 1 (* 2.0 a)))
0.6b
(cbrt g)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
times-frac associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
12.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series499.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
201.0ms
(cbrt (/ 1 (* 2.0 a)))
181.0ms
(cbrt g)

simplify2.8s

Counts
75 → 75
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
0115711
1203685
2487633
31403618
43588609
done5000609

prune175.0ms

Pruning

21 alts after pruning (18 fresh and 3 done)

Merged error: 0.0b

regimes419.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11210
done1210

end0.0ms

sample319.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid