Details

Time bar (total: 10.7s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

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: 18.4b

localize12.0ms

Local error

Found 1 expressions with local error:

17.9b
(cbrt (/ g (* 2.0 a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
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:
10.0ms
(cbrt (/ g (* 2.0 a)))

series506.0ms

Counts
1 → 3
Calls
1 calls:
506.0ms
(cbrt (/ g (* 2.0 a)))

simplify885.0ms

Counts
21 → 21
Iterations

Useful iterations: done (884.0ms)

IterNodesCost
064213
196210
2161196
3396190
41550181
done5001177

prune73.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/l*
add-exp-log
associate-/r*
pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
8.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
4.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series727.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
297.0ms
(cbrt (* 2.0 a))
266.0ms
(cbrt g)

simplify1.2s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0129817
1218788
2555750
32186740
done5001728

prune270.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
times-frac associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
35.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
12.0ms
(cbrt (/ 1 (* 2.0 a)))
2.0ms
(cbrt g)

series657.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
292.0ms
(cbrt (/ 1 (* 2.0 a)))
226.0ms
(cbrt g)

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0115711
1208679
2590633
32943618
done5004609

prune340.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
69×cbrt-prod
43×times-frac
38×*-un-lft-identity
30×add-cube-cbrt
22×associate-*l*
17×associate-*r*
16×unswap-sqr
11×pow1 add-exp-log
cbrt-div
pow1/3 pow-prod-down
associate-*r/ add-cbrt-cube
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
div-inv
frac-times associate-*l/ *-commutative
Counts
4 → 129
Calls
4 calls:
43.0ms
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
31.0ms
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
1.0ms
(cbrt g)
3.0ms
(cbrt (/ 1 a))

series1.0s

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
307.0ms
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
277.0ms
(cbrt g)
241.0ms
(cbrt (/ 1 a))

simplify978.0ms

Counts
141 → 141
Iterations

Useful iterations: done (973.0ms)

IterNodesCost
02111632
13971508
213141410
done50001396

prune601.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample748.0ms

Algorithm
intervals
Results
343.0ms8000×body80valid