Details

Time bar (total: 17.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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)))

series141.0ms

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

simplify4.3s

Counts
19 → 19
Iterations

Useful iterations: 6 (2.9s)

IterNodesCost
062199
194196
2150182
3327176
4758167
51764163
64409161
done5000161

prune88.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

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))

rewrite21.0ms

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:
11.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
6.0ms
(cbrt (* 2.0 a))

series601.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
226.0ms
(cbrt g)
242.0ms
(cbrt (* 2.0 a))

simplify2.5s

Counts
75 → 75
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0123785
1206756
2444718
31078705
43780696
done5001690

prune263.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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:
35.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
15.0ms
(cbrt (/ 1 (* 2.0 a)))
2.0ms
(cbrt g)

series793.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
317.0ms
(cbrt (/ 1 (* 2.0 a)))
318.0ms
(cbrt g)

simplify3.3s

Counts
69 → 69
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0109671
1197639
2454593
31151578
43180569
done5000557

prune180.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
91×cbrt-prod
60×add-sqr-sqrt
49×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
41×associate-*r*
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 → 129
Calls
4 calls:
46.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
18.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
1.0ms
(cbrt g)
3.0ms
(cbrt (/ (cbrt 1) a))

series972.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
271.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
245.0ms
(cbrt g)
268.0ms
(cbrt (/ (cbrt 1) a))

simplify2.9s

Counts
141 → 141
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02421662
14781358
210701268
332421253
done50011193

prune531.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes344.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01010
1139
done139

end0.0ms

sample600.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid