Details

Time bar (total: 12.8s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize5.0ms

Local error

Found 1 expressions with local error:

16.7b
(cbrt (/ g (* 2.0 a)))

rewrite2.0ms

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

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(cbrt (/ g (* 2.0 a)))

simplify6.9s

Counts
19 → 19
Iterations

Useful iterations: 5 (469.0ms)

IterNodesCost
062199
194196
2159182
3335176
4855167
52788163
done5000163

prune49.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

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)

rewrite14.0ms

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:
8.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series462.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
195.0ms
(cbrt (/ 1 (* 2.0 a)))
165.0ms
(cbrt g)

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: 3 (209.0ms)

IterNodesCost
0109671
1200645
2532593
31750578
done5001578

prune161.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

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))

rewrite7.0ms

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:
3.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
0.0ms
(cbrt g)
2.0ms
(cbrt (* 2.0 a))

series491.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
179.0ms
(cbrt g)
194.0ms
(cbrt (* 2.0 a))

simplify653.0ms

Counts
75 → 75
Iterations

Useful iterations: 3 (182.0ms)

IterNodesCost
0123785
1208756
2517718
31639705
done5000705

prune191.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity
31×times-frac
30×add-cube-cbrt
22×associate-*r*
17×associate-*l*
11×pow1 add-exp-log
unswap-sqr
pow1/3 pow-prod-down
cbrt-div
add-cbrt-cube
associate-*l/ prod-exp cbrt-unprod add-log-exp
div-inv
*-commutative
frac-times associate-*r/
Counts
4 → 111
Calls
4 calls:
20.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
11.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
1.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series679.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
217.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
171.0ms
(cbrt (/ 1 a))
177.0ms
(cbrt g)

simplify1.1s

Counts
123 → 123
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01991292
13971213
215211083
done50001083

prune301.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes263.0ms

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
01112
11512
done1512

end0.0ms

sample301.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid