Details

Time bar (total: 18.1s)

sample38.0ms

Algorithm
intervals
Results
17.0ms345×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27711
317411
426411
533111
640311
755111
8114511
9459511
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
16.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
44.0ms
(* (* z z) (+ z 1.0))
43.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series200.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* (* z z) (+ z 1.0))
112.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.7s

Counts
61 → 61
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0116898
1349826
21932663
done5000661

prune204.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.7b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.5b
(/ x (* z z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
63.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
14.0ms
(/ x (* z z))

series135.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
75.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify1.5s

Counts
122 → 122
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01861549
14961460
218721271
done50001259

prune313.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.6b
(* (/ x z) (/ y (+ z 1.0)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
19.0ms
(/ y (+ z 1.0))
60.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
49.0ms
(* (/ x z) (/ y (+ z 1.0)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (+ z 1.0))
74.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
67.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify2.1s

Counts
164 → 164
Iterations

Useful iterations: 2 (772.0ms)

IterNodesCost
02632480
17272215
226801833
done50001833

prune403.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ z 1.0))
0.3b
(cbrt (+ z 1.0))
1.6b
(* (/ 1 z) (* (/ x z) (* (/ (/ 1 (cbrt (+ z 1.0))) (cbrt (+ z 1.0))) (/ y (cbrt (+ z 1.0))))))
3.6b
(* (/ x z) (* (/ (/ 1 (cbrt (+ z 1.0))) (cbrt (+ z 1.0))) (/ y (cbrt (+ z 1.0)))))

rewrite740.0ms

Algorithm
rewrite-expression-head
Rules
648×add-exp-log
302×prod-exp
271×div-exp
192×add-cbrt-cube
108×cbrt-unprod
90×cbrt-undiv
43×rec-exp 1-exp
26×associate-*l*
24×*-un-lft-identity
22×frac-times associate-*r/
20×add-sqr-sqrt add-cube-cbrt
18×pow1 times-frac
10×associate-*l/
9×pow-prod-down
8×cbrt-prod
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
2×flip3-+ pow1/3 associate-*r* *-commutative flip-+ div-inv distribute-lft-out
Counts
4 → 265
Calls
4 calls:
5.0ms
(cbrt (+ z 1.0))
4.0ms
(cbrt (+ z 1.0))
481.0ms
(* (/ 1 z) (* (/ x z) (* (/ (/ 1 (cbrt (+ z 1.0))) (cbrt (+ z 1.0))) (/ y (cbrt (+ z 1.0))))))
220.0ms
(* (/ x z) (* (/ (/ 1 (cbrt (+ z 1.0))) (cbrt (+ z 1.0))) (/ y (cbrt (+ z 1.0)))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (+ z 1.0))
115.0ms
(cbrt (+ z 1.0))
78.0ms
(* (/ 1 z) (* (/ x z) (* (/ (/ 1 (cbrt (+ z 1.0))) (cbrt (+ z 1.0))) (/ y (cbrt (+ z 1.0))))))
73.0ms
(* (/ x z) (* (/ (/ 1 (cbrt (+ z 1.0))) (cbrt (+ z 1.0))) (/ y (cbrt (+ z 1.0)))))

simplify2.7s

Counts
277 → 277
Iterations

Useful iterations: done (2.7s)

IterNodesCost
04308707
110877730
242505826
done50015544

prune448.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes201.0ms

Accuracy

3.5% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.8b

bsearch201.0ms

Steps
ItersRangePoint
10
6.77703429302794e+199
8.662641833189573e+213
8.146317473810848e+202
10
3.710219477033561e-198
2.717830425217559e-183
1.613947613481182e-188
7
-6.187804624999442e-199
-2.064422007709013e-200
-4.86671963083375e-200

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
037108
147108
done47108

end0.0ms

sample1.1s

Algorithm
intervals
Results
650.0ms10732×body80valid