Details

Time bar (total: 20.4s)

sample53.0ms

Algorithm
intervals
Results
23.0ms353×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27611
316811
427211
540011
651011
775211
8178511
done500111

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite140.0ms

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×flip3-+ associate-/r/ flip-+ 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 → 51
Calls
2 calls:
77.0ms
(* (* z z) (+ z 1.0))
59.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series247.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (* z z) (+ z 1.0))
135.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.4s

Counts
57 → 57
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0112858
1389794
23604634
done5001626

prune292.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize20.0ms

Local error

Found 2 expressions with local error:

4.8b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.6b
(/ x (* z z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
86.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
15.0ms
(/ x (* z z))

series123.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
35.0ms
(/ x (* z z))

simplify2.8s

Counts
80 → 80
Iterations

Useful iterations: 2 (732.0ms)

IterNodesCost
01501125
14891063
23568903
done5001903

prune474.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
129.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt x)
335.0ms
(cbrt x)
321.0ms
(cbrt x)
124.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.3s

Counts
100 → 100
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01611803
15581703
232971111
done5002984

prune473.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log cbrt-prod
40×associate-*l*
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-cbrt-cube
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×pow1
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
116.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
317.0ms
(cbrt x)
377.0ms
(cbrt x)
383.0ms
(cbrt x)
275.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.6s

Counts
123 → 123
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02071998
16291939
229261581
done50001561

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
done1518

end0.0ms

sample1.3s

Algorithm
intervals
Results
694.0ms10809×body80valid