Details

Time bar (total: 13.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06163
19163
211163
done11163

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize7.0ms

Local error

Found 1 expressions with local error:

17.5b
(cbrt (/ g (* 2.0 a)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
4.0ms
(cbrt (/ g (* 2.0 a)))

series150.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.4s

Counts
21 → 21
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0646166
1966085
21616005
33885845
415275332
done50015251

prune178.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.5b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/l*
add-exp-log
associate-/r*
expm1-log1p-u pow1 add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 72
Calls
3 calls:
6.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
3.0ms
(cbrt (* 2.0 a))

series716.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
256.0ms
(cbrt g)
317.0ms
(cbrt (* 2.0 a))

simplify1.6s

Counts
81 → 81
Iterations

Useful iterations: done (1.6s)

IterNodesCost
012928191
121626740
255526620
3215926220
done500025547

prune555.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
0.3b
(/ (cbrt (* 2.0 a)) (cbrt g))
0.5b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
111×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
98×cbrt-prod
34×associate-/r*
17×add-exp-log
div-exp
add-cbrt-cube associate-/l*
div-inv
pow1
expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
rec-exp clear-num frac-2neg pow1/3 1-exp
associate-/r/ pow-flip inv-pow
Counts
4 → 210
Calls
4 calls:
25.0ms
(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
11.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
1.0ms
(cbrt g)
6.0ms
(cbrt (* 2.0 a))

series1.0s

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
165.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
333.0ms
(cbrt g)
323.0ms
(cbrt (* 2.0 a))

simplify2.4s

Counts
222 → 222
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0305108559
173794410
2402592505
done500091858

prune909.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.5b
(cbrt g)
0.5b
(cbrt (/ 1 (* 2.0 a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
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
prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
15.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
5.0ms
(cbrt (/ 1 (* 2.0 a)))

series636.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
226.0ms
(cbrt g)
273.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: done (2.3s)

IterNodesCost
011522502
120720612
258320411
3305119810
done500019297

prune264.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes418.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07243
18243
done8243

end0.0ms

sample407.0ms

Algorithm
intervals
Results
207.0ms8000×body80valid