Details

Time bar (total: 10.1s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize12.0ms

Local error

Found 1 expressions with local error:

16.8b
(cbrt (/ g (* 2.0 a)))

rewrite11.0ms

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:
10.0ms
(cbrt (/ g (* 2.0 a)))

series158.0ms

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

simplify873.0ms

Counts
19 → 19
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
062199
194196
2161182
3385176
41596167
done5001163

prune97.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:
31.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
7.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series726.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
299.0ms
(cbrt (/ 1 (* 2.0 a)))
291.0ms
(cbrt g)

simplify2.3s

Counts
69 → 69
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0109671
1202639
2594593
33069578
done5000569

prune318.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
42×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac associate-*l*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*r* pow-prod-down
5×add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp
3×cbrt-div
2×associate-*l/ *-commutative div-inv
1×associate-*r/
Counts
4 → 99
Calls
4 calls:
40.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 0.5)))
29.0ms
(* (cbrt (/ 1 a)) (cbrt 0.5))
5.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 0.5)))
403.0ms
(* (cbrt (/ 1 a)) (cbrt 0.5))
263.0ms
(cbrt (/ 1 a))
313.0ms
(cbrt g)

simplify915.0ms

Counts
111 → 111
Iterations

Useful iterations: done (909.0ms)

IterNodesCost
01651071
13221013
21235926
done5000913

prune441.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt g) (cbrt (* (pow (cbrt 0.5) 3) (/ 1 a))))
0.6b
(cbrt (* (pow (cbrt 0.5) 3) (/ 1 a)))
0.6b
(cbrt g)
1.0b
(pow (cbrt 0.5) 3)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down cube-prod associate-*l*
5×pow1/3
4×cbrt-div associate-*r/ associate-*r* add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow pow-prod-down un-div-inv unswap-sqr
1×cube-mult pow-to-exp unpow3 pow-exp prod-exp *-commutative cbrt-unprod rem-cube-cbrt sqr-pow
Counts
4 → 78
Calls
4 calls:
18.0ms
(* (cbrt g) (cbrt (* (pow (cbrt 0.5) 3) (/ 1 a))))
9.0ms
(cbrt (* (pow (cbrt 0.5) 3) (/ 1 a)))
1.0ms
(cbrt g)
6.0ms
(pow (cbrt 0.5) 3)

series739.0ms

Counts
4 → 10
Calls
4 calls:
186.0ms
(* (cbrt g) (cbrt (* (pow (cbrt 0.5) 3) (/ 1 a))))
290.0ms
(cbrt (* (pow (cbrt 0.5) 3) (/ 1 a)))
263.0ms
(cbrt g)
0.0ms
(pow (cbrt 0.5) 3)

simplify770.0ms

Counts
88 → 88
Iterations

Useful iterations: done (765.0ms)

IterNodesCost
0124874
1304626
21088505
done5001492

prune317.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01212
11612
done1612

end0.0ms

sample715.0ms

Algorithm
intervals
Results
409.0ms8000×body80valid