Details

Time bar (total: 18.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
1×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)))

series132.0ms

Counts
1 → 3
Calls
1 calls:
132.0ms
(cbrt (/ g (* 2.0 a)))

simplify4.5s

Counts
19 → 19
Iterations

Useful iterations: 6 (3.0s)

IterNodesCost
062199
194196
2150182
3327176
4758167
51764163
64409161
done5000161

prune60.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×pow1 add-cbrt-cube add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
15.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
2.0ms
(cbrt g)
7.0ms
(cbrt (* 2.0 a))

series795.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
318.0ms
(cbrt g)
288.0ms
(cbrt (* 2.0 a))

simplify2.7s

Counts
75 → 75
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0123785
1206756
2444718
31078705
43780696
done5001690

prune306.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×add-cbrt-cube add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
41.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
15.0ms
(cbrt (/ 1 (* 2.0 a)))
2.0ms
(cbrt g)

series688.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
285.0ms
(cbrt (/ 1 (* 2.0 a)))
282.0ms
(cbrt g)

simplify3.4s

Counts
69 → 69
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0109671
1197639
2454593
31151578
43180569
done5000557

prune301.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity associate-*r*
31×times-frac
30×add-cube-cbrt
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*l* pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×associate-*r/ prod-exp cbrt-unprod add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 111
Calls
4 calls:
46.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ 1 a)))
38.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
2.0ms
(cbrt g)
5.0ms
(cbrt (/ 1 a))

series970.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ 1 a)))
361.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
223.0ms
(cbrt g)
229.0ms
(cbrt (/ 1 a))

simplify3.1s

Counts
123 → 123
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01991310
14011166
29941076
331641061
done50001001

prune438.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes304.0ms

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
099
1139
done139

end0.0ms

sample729.0ms

Algorithm
intervals
Results
399.0ms8000×body80valid