Details

Time bar (total: 19.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize10.0ms

Local error

Found 1 expressions with local error:

12.5b
(cbrt (/ g (* 2.0 a)))

rewrite9.0ms

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:
8.0ms
(cbrt (/ g (* 2.0 a)))

series137.0ms

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

simplify4.7s

Counts
19 → 19
Iterations

Useful iterations: 6 (3.2s)

IterNodesCost
062199
194196
2150182
3327176
4758167
51764163
64409161
done5000161

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

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)))

rewrite41.0ms

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:
23.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
2.0ms
(cbrt g)
14.0ms
(cbrt (/ 1 (* 2.0 a)))

series731.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
314.0ms
(cbrt g)
294.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify3.1s

Counts
69 → 69
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0109671
1197635
2454593
31148578
43173569
done5001557

prune253.0ms

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))

rewrite19.0ms

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 add-cbrt-cube add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
8.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
8.0ms
(cbrt (* 2.0 a))

series787.0ms

Counts
3 → 9
Calls
3 calls:
217.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
260.0ms
(cbrt g)
309.0ms
(cbrt (* 2.0 a))

simplify2.7s

Counts
75 → 75
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0123785
1206756
2444718
31078705
43780696
done5001690

prune278.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity associate-*r*
31×times-frac
30×add-cube-cbrt
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*l* pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×associate-*r/ prod-exp cbrt-unprod add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 111
Calls
4 calls:
65.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ 1 a)))
21.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
2.0ms
(cbrt g)
5.0ms
(cbrt (/ 1 a))

series1.2s

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ 1 a)))
400.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
268.0ms
(cbrt g)
291.0ms
(cbrt (/ 1 a))

simplify3.2s

Counts
123 → 123
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01991310
14011166
29941076
331641061
done50001001

prune409.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

regimes438.0ms

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: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample650.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid