Details

Time bar (total: 17.6s)

sample27.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ g (* 2 a))
17.4b
(cbrt (/ g (* 2 a)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
69×add-sqr-sqrt
53×*-un-lft-identity add-cube-cbrt
40×cbrt-prod
24×associate-/r* associate-*r* associate-*l*
18×cbrt-div
8×*-commutative unswap-sqr
7×add-cbrt-cube add-exp-log
6×associate-/l*
2×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
1×pow1/3 prod-exp cbrt-unprod
Counts
2 → 133
Calls
2 calls:
20.0ms
(/ g (* 2 a))
22.0ms
(cbrt (/ g (* 2 a)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ g (* 2 a))
118.0ms
(cbrt (/ g (* 2 a)))

simplify1.4s

Counts
139 → 139
Iterations
IterNodes
done5000
21096
1435
0235

prune521.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt (/ g (sqrt 2))) (cbrt (* (sqrt 2) a)))
0.5b
(/ g (sqrt 2))
0.6b
(cbrt (* (sqrt 2) a))
0.6b
(cbrt (/ g (sqrt 2)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
894×cbrt-prod
871×times-frac
560×add-sqr-sqrt
452×*-un-lft-identity add-cube-cbrt
315×sqrt-prod
162×associate-*l*
81×associate-*r*
54×unswap-sqr
37×associate-/r*
34×associate-/l*
27×*-commutative
24×cbrt-div
23×div-inv
12×associate-/l/
10×add-cbrt-cube
8×add-exp-log
5×cbrt-undiv
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×pow1/3 div-exp
Counts
4 → 655
Calls
4 calls:
33.0ms
(/ (cbrt (/ g (sqrt 2))) (cbrt (* (sqrt 2) a)))
11.0ms
(/ g (sqrt 2))
21.0ms
(cbrt (* (sqrt 2) a))
9.0ms
(cbrt (/ g (sqrt 2)))

series1.4s

Counts
4 → 12
Calls
4 calls:
354.0ms
(/ (cbrt (/ g (sqrt 2))) (cbrt (* (sqrt 2) a)))
104.0ms
(/ g (sqrt 2))
396.0ms
(cbrt (* (sqrt 2) a))
511.0ms
(cbrt (/ g (sqrt 2)))

simplify3.1s

Counts
667 → 667
Iterations
IterNodes
done5000
34555
21675
11027
0779

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt (* (cbrt 2) (cbrt 2))))
1.0b
(cbrt 2)
1.0b
(cbrt 2)
1.0b
(cbrt 2)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
108×sqrt-prod
90×times-frac
78×*-un-lft-identity add-cube-cbrt
73×cbrt-prod
30×associate-/r*
24×swap-sqr associate-*r* associate-*l*
16×unswap-sqr
13×pow1
11×pow-flip
9×sqrt-pow1 pow1/3
8×add-exp-log
6×add-cbrt-cube
4×*-commutative insert-posit16 add-log-exp
3×associate-/l*
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 cbrt-undiv rec-exp clear-num frac-2neg pow-plus pow1/2 1-exp div-inv inv-pow
Counts
4 → 186
Calls
4 calls:
29.0ms
(/ 1 (sqrt (* (cbrt 2) (cbrt 2))))
1.0ms
(cbrt 2)
1.0ms
(cbrt 2)
1.0ms
(cbrt 2)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ 1 (sqrt (* (cbrt 2) (cbrt 2))))
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)

simplify1.9s

Counts
190 → 190
Iterations
IterNodes
done5002
41712
3824
2497
1327
0211

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2) a)
0.4b
(/ (sqrt 2) g)
0.6b
(cbrt (* (sqrt 2) a))
0.6b
(cbrt (/ (sqrt 2) g))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
42×*-un-lft-identity add-cube-cbrt
38×cbrt-prod
36×times-frac
32×sqrt-prod
12×cbrt-div associate-*l* associate-/l*
8×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-*r*
4×insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg pow1/3 *-commutative div-inv
1×cbrt-undiv div-exp pow-prod-down prod-exp cbrt-unprod
Counts
4 → 131
Calls
4 calls:
27.0ms
(* (sqrt 2) a)
13.0ms
(/ (sqrt 2) g)
16.0ms
(cbrt (* (sqrt 2) a))
10.0ms
(cbrt (/ (sqrt 2) g))

series1.3s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (sqrt 2) a)
74.0ms
(/ (sqrt 2) g)
347.0ms
(cbrt (* (sqrt 2) a))
832.0ms
(cbrt (/ (sqrt 2) g))

simplify2.2s

Counts
143 → 143
Iterations
IterNodes
done5038
43860
31322
2544
1303
0188

prune699.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes316.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample733.0ms

Algorithm
intervals
Results
585.0ms8000×body80valid