Details

Time bar (total: 20.9s)

sample35.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
1×pow1/3 prod-exp cbrt-unprod
Counts
2 → 137
Calls
2 calls:
13.0ms
(/ g (* 2 a))
18.0ms
(cbrt (/ g (* 2 a)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ g (* 2 a))
119.0ms
(cbrt (/ g (* 2 a)))

simplify2.9s

Counts
143 → 143
Iterations
IterNodes
done5001
34835
21080
1438
0239

prune583.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite147.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 div-exp
Counts
4 → 663
Calls
4 calls:
61.0ms
(/ (cbrt (/ g (sqrt 2))) (cbrt (* (sqrt 2) a)))
6.0ms
(/ g (sqrt 2))
9.0ms
(cbrt (* (sqrt 2) a))
5.0ms
(cbrt (/ g (sqrt 2)))

series1.4s

Counts
4 → 12
Calls
4 calls:
400.0ms
(/ (cbrt (/ g (sqrt 2))) (cbrt (* (sqrt 2) a)))
76.0ms
(/ g (sqrt 2))
411.0ms
(cbrt (* (sqrt 2) a))
482.0ms
(cbrt (/ g (sqrt 2)))

simplify3.2s

Counts
675 → 675
Iterations
IterNodes
done5005
34876
21664
11033
0787

prune2.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize37.0ms

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)

rewrite53.0ms

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×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u 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 → 194
Calls
4 calls:
43.0ms
(/ 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)

simplify3.4s

Counts
198 → 198
Iterations
IterNodes
done5000
41671
3859
2497
1336
0215

prune940.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite55.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 139
Calls
4 calls:
24.0ms
(* (sqrt 2) a)
12.0ms
(/ (sqrt 2) g)
8.0ms
(cbrt (* (sqrt 2) a))
5.0ms
(cbrt (/ (sqrt 2) g))

series879.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sqrt 2) a)
59.0ms
(/ (sqrt 2) g)
366.0ms
(cbrt (* (sqrt 2) a))
405.0ms
(cbrt (/ (sqrt 2) g))

simplify2.6s

Counts
151 → 151
Iterations
IterNodes
done5002
43865
31281
2573
1311
0196

prune793.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample728.0ms

Algorithm
intervals
Results
562.0ms8000×body80valid