Details

Time bar (total: 20.6s)

sample18.0ms

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: 12.8b

localize6.0ms

Local error

Found 1 expressions with local error:

12.5b
(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 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)))

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(cbrt (/ g (* 2.0 a)))

simplify5.5s

Counts
21 → 21
Iterations

Useful iterations: 6 (3.8s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune71.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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:
37.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
2.0ms
(cbrt g)
14.0ms
(cbrt (/ 1 (* 2.0 a)))

series686.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
243.0ms
(cbrt g)
311.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify3.6s

Counts
75 → 75
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0115711
1203675
2458633
31172618
43293609
done5000597

prune326.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

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))

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
15.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
2.0ms
(cbrt g)
6.0ms
(cbrt (* 2.0 a))

series860.0ms

Counts
3 → 9
Calls
3 calls:
196.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
289.0ms
(cbrt g)
375.0ms
(cbrt (* 2.0 a))

simplify2.7s

Counts
81 → 81
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0129817
1212788
2450750
31092737
43832728
done5000722

prune312.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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:
64.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
20.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
1.0ms
(cbrt g)
7.0ms
(cbrt (/ (cbrt 1) a))

series1.2s

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
403.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
283.0ms
(cbrt g)
277.0ms
(cbrt (/ (cbrt 1) a))

simplify3.1s

Counts
149 → 149
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02501724
14861416
210831326
332561308
done50001245

prune615.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

regimes510.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01213
11612
done1612

end0.0ms

sample708.0ms

Algorithm
intervals
Results
321.0ms8000×body80valid