Details

Time bar (total: 19.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize6.0ms

Local error

Found 1 expressions with local error:

15.5b
(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 expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(cbrt (/ g (* 2.0 a)))

series140.0ms

Counts
1 → 3
Calls
1 calls:
140.0ms
(cbrt (/ g (* 2.0 a)))

simplify4.8s

Counts
21 → 21
Iterations

Useful iterations: 6 (3.5s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune82.0ms

Pruning

9 alts after pruning (8 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))))
0.5b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2.0 a)))

rewrite31.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
18.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
7.0ms
(cbrt (/ 1 (* 2.0 a)))

series623.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
231.0ms
(cbrt g)
230.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify3.7s

Counts
75 → 75
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0115711
1203675
2458633
31172618
43293609
done5000597

prune297.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 137
Calls
4 calls:
74.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
37.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
2.0ms
(cbrt g)
8.0ms
(cbrt (/ (cbrt 1) a))

series1.2s

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
401.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
357.0ms
(cbrt g)
306.0ms
(cbrt (/ (cbrt 1) a))

simplify3.0s

Counts
149 → 149
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02501724
14861416
210831326
332561308
done50001245

prune693.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-prod
86×add-sqr-sqrt
68×times-frac
48×*-un-lft-identity
45×add-cube-cbrt
25×associate-*r*
16×associate-*l*
15×unswap-sqr
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 div-inv
3×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down
1×frac-times associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
3 → 130
Calls
3 calls:
42.0ms
(* (cbrt (/ g 2.0)) (cbrt (/ (cbrt 1) a)))
3.0ms
(cbrt (/ (cbrt 1) a))
2.0ms
(cbrt (/ g 2.0))

series769.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(* (cbrt (/ g 2.0)) (cbrt (/ (cbrt 1) a)))
249.0ms
(cbrt (/ (cbrt 1) a))
357.0ms
(cbrt (/ g 2.0))

simplify2.0s

Counts
139 → 139
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02411753
13921443
27461387
317561372
done50011360

prune510.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes381.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01010
1139
done139

end0.0ms

sample670.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid