Details

Time bar (total: 18.7s)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 1 expressions with local error:

13.6b
(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

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:
9.0ms
(cbrt (/ g (* 2.0 a)))

series123.0ms

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

simplify5.0s

Counts
19 → 19
Iterations

Useful iterations: 6 (3.5s)

IterNodesCost
062199
194196
2150182
3327176
4758167
51764163
64409161
done5000161

prune77.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:
18.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
11.0ms
(cbrt (/ 1 (* 2.0 a)))
2.0ms
(cbrt g)

series720.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
341.0ms
(cbrt (/ 1 (* 2.0 a)))
225.0ms
(cbrt g)

simplify3.1s

Counts
69 → 69
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0109671
1197639
2454593
31151578
43180569
done5000557

prune277.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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
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:
56.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
46.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
7.0ms
(cbrt (/ (sqrt 1) a))
2.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
350.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
304.0ms
(cbrt (/ (sqrt 1) a))
321.0ms
(cbrt g)

simplify3.0s

Counts
141 → 141
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02331662
14601358
210531268
332141253
done50001193

prune519.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
92×cbrt-prod
86×add-sqr-sqrt
68×times-frac
48×*-un-lft-identity
45×add-cube-cbrt
25×associate-*r*
24×sqrt-prod
16×associate-*l*
15×unswap-sqr
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 div-inv
3×add-cbrt-cube add-log-exp
2×pow-prod-down
1×frac-times associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
3 → 124
Calls
3 calls:
51.0ms
(* (cbrt (/ g 2.0)) (cbrt (/ (sqrt 1) a)))
7.0ms
(cbrt (/ (sqrt 1) a))
5.0ms
(cbrt (/ g 2.0))

series754.0ms

Counts
3 → 9
Calls
3 calls:
148.0ms
(* (cbrt (/ g 2.0)) (cbrt (/ (sqrt 1) a)))
288.0ms
(cbrt (/ (sqrt 1) a))
318.0ms
(cbrt (/ g 2.0))

simplify2.2s

Counts
133 → 133
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02251709
13701403
27231347
317371332
done50001320

prune406.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes358.0ms

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 (1.0ms)

IterNodesCost
01010
1139
done139

end0.0ms

sample678.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid