Details

Time bar (total: 47.4s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
1106
2126
done126

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize11.0ms

Local error

Found 1 expressions with local error:

15.6b
(cbrt (/ g (* 2.0 a)))

rewrite7.0ms

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:
7.0ms
(cbrt (/ g (* 2.0 a)))

series137.0ms

Counts
1 → 3
Calls
1 calls:
137.0ms
(cbrt (/ g (* 2.0 a)))

simplify14.3s

Counts
21 → 21
Iterations

Useful iterations: done (14.3s)

IterNodesCost
064213
1153210
done5000193

prune103.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
7.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
4.0ms
(cbrt (* 2.0 a))

series756.0ms

Counts
3 → 9
Calls
3 calls:
182.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
263.0ms
(cbrt g)
310.0ms
(cbrt (* 2.0 a))

simplify5.2s

Counts
81 → 81
Iterations

Useful iterations: done (5.2s)

IterNodesCost
0129817
1566788
done5000750

prune316.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×add-exp-log cbrt-prod
16×associate-*r*
pow1 add-cbrt-cube
associate-*l* unswap-sqr
expm1-log1p-u div-exp prod-exp associate-/r* log1p-expm1-u add-log-exp
pow1/3 associate-/l*
cbrt-undiv rec-exp pow-flip 1-exp cbrt-unprod div-inv
frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 109
Calls
4 calls:
9.0ms
(/ 1 (cbrt (* 2.0 a)))
26.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms
(cbrt g)
4.0ms
(cbrt (* 2.0 a))

series1.2s

Counts
4 → 12
Calls
4 calls:
326.0ms
(/ 1 (cbrt (* 2.0 a)))
196.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
299.0ms
(cbrt g)
365.0ms
(cbrt (* 2.0 a))

simplify8.7s

Counts
121 → 121
Iterations

Useful iterations: done (8.6s)

IterNodesCost
01621171
11873979
done5001893

prune437.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:
22.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
13.0ms
(cbrt (/ 1 (* 2.0 a)))

series888.0ms

Counts
3 → 9
Calls
3 calls:
168.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
312.0ms
(cbrt g)
408.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify13.9s

Counts
75 → 75
Iterations

Useful iterations: done (13.9s)

IterNodesCost
0115711
1416675
done5000623

prune225.0ms

Pruning

20 alts after pruning (16 fresh and 4 done)

Merged error: 0.0b

regimes464.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample674.0ms

Algorithm
intervals
Results
336.0ms8000×body80valid