Details

Time bar (total: 10.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27411
315811
424311
529911
635111
747911
899011
9360011
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite26.0ms

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:
13.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.0s

Counts
57 → 57
Iterations

Useful iterations: 2 (418.0ms)

IterNodesCost
0112858
1369788
21986626
done5000626

prune104.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.2b
(/ x (* z z))
7.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))

rewrite37.0ms

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×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
8.0ms
(/ y (+ z 1.0))
3.0ms
(/ x (* z z))
22.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

series109.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
22.0ms
(/ x (* z z))
51.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

simplify769.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (303.0ms)

IterNodesCost
01801501
15171416
220231228
done50011228

prune239.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 143
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
25.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
35.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt x)
173.0ms
(cbrt x)
120.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
80.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.1s

Counts
155 → 155
Iterations

Useful iterations: 2 (473.0ms)

IterNodesCost
02652776
18542632
233951922
done50001922

prune417.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))) (* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))))
3.0b
(cbrt (/ (cbrt x) z))
3.0b
(cbrt (/ (cbrt x) z))
3.0b
(cbrt (/ (cbrt x) z))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
93×cbrt-prod
68×add-cbrt-cube
67×prod-exp cbrt-unprod
57×times-frac
51×cbrt-div
49×frac-times
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×associate-*r/
23×associate-*l/
22×pow1
20×cbrt-undiv div-exp
13×pow-prod-down
7×associate-*l*
4×div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 187
Calls
4 calls:
166.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))) (* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))))
2.0ms
(cbrt (/ (cbrt x) z))
2.0ms
(cbrt (/ (cbrt x) z))
2.0ms
(cbrt (/ (cbrt x) z))

series628.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))) (* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))))
183.0ms
(cbrt (/ (cbrt x) z))
178.0ms
(cbrt (/ (cbrt x) z))
181.0ms
(cbrt (/ (cbrt x) z))

simplify1.1s

Counts
199 → 199
Iterations

Useful iterations: 2 (393.0ms)

IterNodesCost
03075163
19354939
235543595
done50003595

prune565.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01828
12228
done2228

end0.0ms

sample522.0ms

Algorithm
intervals
Results
306.0ms10714×body80valid