Details

Time bar (total: 9.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27411
315811
424311
529911
635111
748111
898311
9359811
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite31.0ms

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:
18.0ms
(* (* z z) (+ z 1.0))
12.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
65.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify669.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
0112858
1369788
21986626
done5000626

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.4b
(/ x (* z z))

rewrite39.0ms

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:
5.0ms
(/ y (+ z 1.0))
27.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series106.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
21.0ms
(/ x (* z z))

simplify854.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
01801501
15171416
220051228
done50001228

prune229.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))))

rewrite40.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
35.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
176.0ms
(cbrt x)
176.0ms
(cbrt x)
72.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify643.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
01611803
15331703
221681085
done50001085

prune217.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
0.8b
(* (/ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
99×add-cbrt-cube
75×prod-exp cbrt-unprod
40×cbrt-undiv div-exp
27×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1
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 → 117
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
257.0ms
(* (/ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (cbrt x))
233.0ms
(cbrt (cbrt x))
250.0ms
(cbrt (cbrt x))
69.0ms
(* (/ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify899.0ms

Counts
129 → 129
Iterations

Useful iterations: done (894.0ms)

IterNodesCost
02123607
17183415
231652051
done50012041

prune281.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

-2.1% (3.0b remaining)

Error of 3.0b against oracle of 0.1b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02545
13045
done3045

end0.0ms

sample502.0ms

Algorithm
intervals
Results
283.0ms10771×body80valid