Details

Time bar (total: 21.0s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06163
19163
done9163

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize8.0ms

Local error

Found 1 expressions with local error:

14.0b
(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
pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
4.0ms
(cbrt (/ g (* 2.0 a)))

series141.0ms

Counts
1 → 3
Calls
1 calls:
141.0ms
(cbrt (/ g (* 2.0 a)))

simplify2.5s

Counts
19 → 19
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0625680
1945599
21485519
32925359
48965359
523284846
done50014765

prune128.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt (* 2.0 a))
0.7b
(cbrt g)

rewrite16.0ms

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*
pow1 add-cbrt-cube add-log-exp
pow1/3
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 66
Calls
3 calls:
7.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
5.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series741.0ms

Counts
3 → 9
Calls
3 calls:
225.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
283.0ms
(cbrt (* 2.0 a))
234.0ms
(cbrt g)

simplify3.7s

Counts
75 → 75
Iterations

Useful iterations: done (3.7s)

IterNodesCost
012326819
121025368
244725248
3119124928
4426724688
done500024588

prune440.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (* 2.0 a)))
0.4b
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
0.6b
(cbrt (* 2.0 a))
0.7b
(cbrt g)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×cbrt-prod add-exp-log
16×associate-*r*
pow1 add-cbrt-cube
associate-*l* unswap-sqr
associate-/r* div-exp prod-exp add-log-exp
pow1/3 associate-/l*
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv pow-flip
clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
6.0ms
(/ 1 (cbrt (* 2.0 a)))
40.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
5.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
378.0ms
(/ 1 (cbrt (* 2.0 a)))
161.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
341.0ms
(cbrt (* 2.0 a))
251.0ms
(cbrt g)

simplify4.5s

Counts
113 → 113
Iterations

Useful iterations: 3 (919.0ms)

IterNodesCost
015434325
133629641
282428047
3180427126
4498727126
done500027126

prune594.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt (/ 1 (* 2.0 a)))
0.7b
(cbrt g)

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
add-cbrt-cube add-log-exp
cbrt-div pow-prod-down div-inv
prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
14.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
6.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series676.0ms

Counts
3 → 9
Calls
3 calls:
146.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
270.0ms
(cbrt (/ 1 (* 2.0 a)))
260.0ms
(cbrt g)

simplify4.5s

Counts
69 → 69
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
010920966
120119156
247818875
3125218274
4410218174
done501718174

prune382.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes745.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09284
113284
done13284

end0.0ms

sample621.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid