Details

Time bar (total: 19.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize10.0ms

Local error

Found 1 expressions with local error:

15.3b
(cbrt (/ g (* 2.0 a)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
5.0ms
(cbrt (/ g (* 2.0 a)))

series130.0ms

Counts
1 → 3
Calls
1 calls:
130.0ms
(cbrt (/ g (* 2.0 a)))

simplify4.6s

Counts
19 → 19
Iterations

Useful iterations: 6 (3.2s)

IterNodesCost
062199
194196
2150182
3327176
4758167
51764163
64409161
done5000161

prune64.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

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))

rewrite16.0ms

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 add-cbrt-cube add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
9.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
4.0ms
(cbrt (* 2.0 a))

series734.0ms

Counts
3 → 9
Calls
3 calls:
163.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
272.0ms
(cbrt g)
299.0ms
(cbrt (* 2.0 a))

simplify2.8s

Counts
75 → 75
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0123785
1206756
2444718
31078705
43780696
done5001690

prune323.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite46.0ms

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
add-cbrt-cube add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
34.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
8.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series749.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
293.0ms
(cbrt (/ 1 (* 2.0 a)))
312.0ms
(cbrt g)

simplify3.9s

Counts
69 → 69
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0109671
1197639
2454593
31151578
43180569
done5000557

prune266.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
60×add-sqr-sqrt
49×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
41×associate-*r*
18×sqrt-prod
11×pow1 add-exp-log
unswap-sqr
pow1/3 associate-*l* pow-prod-down
cbrt-div
add-cbrt-cube
associate-*r/ prod-exp cbrt-unprod add-log-exp
div-inv
*-commutative
frac-times associate-*l/
Counts
4 → 129
Calls
4 calls:
61.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
19.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
1.0ms
(cbrt g)
4.0ms
(cbrt (/ (sqrt 1) a))

series1.2s

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
319.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
360.0ms
(cbrt g)
324.0ms
(cbrt (/ (sqrt 1) a))

simplify3.0s

Counts
141 → 141
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02331662
14601358
210531268
332311253
done50011193

prune512.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes375.0ms

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: 1 (2.0ms)

IterNodesCost
01010
1139
done139

end0.0ms

sample701.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid