Details

Time bar (total: 13.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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

series150.0ms

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

simplify868.0ms

Counts
21 → 21
Iterations

Useful iterations: done (867.0ms)

IterNodesCost
064213
196210
2161196
3388190
41527181
done5001177

prune123.0ms

Pruning

8 alts after pruning (7 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)))
0.5b
(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))

series858.0ms

Counts
3 → 9
Calls
3 calls:
180.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
354.0ms
(cbrt g)
324.0ms
(cbrt (* 2.0 a))

simplify979.0ms

Counts
81 → 81
Iterations

Useful iterations: done (977.0ms)

IterNodesCost
0129817
1216790
2555750
32159740
done5000728

prune493.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (* 2.0 a)))
0.4b
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
0.5b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite40.0ms

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
expm1-log1p-u associate-/r* div-exp prod-exp log1p-expm1-u 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 → 109
Calls
4 calls:
11.0ms
(/ 1 (cbrt (* 2.0 a)))
19.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms
(cbrt g)
3.0ms
(cbrt (* 2.0 a))

series1.2s

Counts
4 → 12
Calls
4 calls:
388.0ms
(/ 1 (cbrt (* 2.0 a)))
185.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
262.0ms
(cbrt g)
351.0ms
(cbrt (* 2.0 a))

simplify3.4s

Counts
121 → 121
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01621171
13491048
22243909
done5001890

prune596.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.5b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2.0 a)))

rewrite42.0ms

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:
27.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
10.0ms
(cbrt (/ 1 (* 2.0 a)))

series763.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
246.0ms
(cbrt g)
346.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify1.8s

Counts
75 → 75
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0115711
1207676
2583633
33051618
done5000609

prune388.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

regimes630.0ms

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
077
187
done87

end0.0ms

sample613.0ms

Algorithm
intervals
Results
330.0ms8000×body80valid