Details

Time bar (total: 17.1s)

sample29.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize16.0ms

Local error

Found 1 expressions with local error:

15.5b
(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 expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
9.0ms
(cbrt (/ g (* 2.0 a)))

series169.0ms

Counts
1 → 3
Calls
1 calls:
169.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.3s

Counts
21 → 21
Iterations

Useful iterations: done (1.3s)

IterNodesCost
064213
196210
2161196
3396190
41550181
done5001177

prune173.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

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)))

rewrite57.0ms

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:
39.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
2.0ms
(cbrt g)
13.0ms
(cbrt (/ 1 (* 2.0 a)))

series869.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
321.0ms
(cbrt g)
355.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify3.1s

Counts
75 → 75
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0115711
1208675
2579633
32899618
done5002609

prune559.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
6×times-frac associate-*r*
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-*l/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
39.0ms
(* (cbrt (/ 1 (* 2.0 a))) (cbrt g))
2.0ms
(cbrt g)
20.0ms
(cbrt (/ 1 (* 2.0 a)))

series860.0ms

Counts
3 → 9
Calls
3 calls:
197.0ms
(* (cbrt (/ 1 (* 2.0 a))) (cbrt g))
314.0ms
(cbrt g)
349.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify3.8s

Counts
75 → 75
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0116712
1213684
2649638
33568623
done5001605

prune652.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite26.0ms

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:
14.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
7.0ms
(cbrt (* 2.0 a))
2.0ms
(cbrt g)

series952.0ms

Counts
3 → 9
Calls
3 calls:
223.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
404.0ms
(cbrt (* 2.0 a))
325.0ms
(cbrt g)

simplify1.8s

Counts
81 → 81
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0129817
1218788
2555750
32186740
done5001728

prune584.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01112
1159
2169
done169

end0.0ms

sample862.0ms

Algorithm
intervals
Results
426.0ms8000×body80valid