Details

Time bar (total: 16.4s)

sample40.0ms

Algorithm
intervals
Results
18.0ms317×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65412
done5412

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.0b
(* (/ x y) z)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 79
Calls
3 calls:
31.0ms
(/ (+ x 4.0) y)
60.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms
(* (/ x y) z)

series145.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (+ x 4.0) y)
74.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms
(* (/ x y) z)

simplify921.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (278.0ms)

IterNodesCost
0142904
1351859
21650791
done5000791

prune410.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×cbrt-prod pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r* associate-*r/ *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
86.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series835.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt y)
236.0ms
(cbrt y)
247.0ms
(cbrt y)
28.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify1.3s

Counts
94 → 94
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01201600
14221537
22510820
done5000626

prune406.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (/ y (cbrt (+ x 4.0))))
0.4b
(/ y (cbrt (+ x 4.0)))
0.8b
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
2.0b
(* (/ x y) z)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
98×*-un-lft-identity
77×add-sqr-sqrt
64×cbrt-prod add-cube-cbrt
34×associate-/r*
30×cbrt-div
25×add-exp-log
20×associate-*l*
16×add-cbrt-cube distribute-lft-out
15×flip3-+ flip-+
13×pow1
10×associate-*r*
9×swap-sqr
8×frac-times cbrt-undiv div-exp associate-/l/
7×associate-/r/
6×pow1/3 unswap-sqr
5×associate-*l/ prod-exp cbrt-unprod div-inv
4×associate-*r/ associate-/l* add-log-exp
3×pow-prod-down
2×clear-num frac-2neg pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 212
Calls
4 calls:
50.0ms
(/ (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (/ y (cbrt (+ x 4.0))))
18.0ms
(/ y (cbrt (+ x 4.0)))
34.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
20.0ms
(* (/ x y) z)

series488.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (/ y (cbrt (+ x 4.0))))
254.0ms
(/ y (cbrt (+ x 4.0)))
157.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
46.0ms
(* (/ x y) z)

simplify535.0ms

Counts
224 → 224
Iterations

Useful iterations: done (524.0ms)

IterNodesCost
03583556
19503318
done50003105

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ y (cbrt (cbrt (+ x 4.0))))
0.4b
(* (* (* (cbrt (+ x 4.0)) (cbrt (cbrt (+ x 4.0)))) (cbrt (cbrt (+ x 4.0)))) (/ (cbrt (+ x 4.0)) (/ y (cbrt (cbrt (+ x 4.0))))))
0.4b
(/ (cbrt (+ x 4.0)) (/ y (cbrt (cbrt (+ x 4.0)))))
2.0b
(* (/ x y) z)

rewrite643.0ms

Algorithm
rewrite-expression-head
Rules
994×times-frac
831×cbrt-prod
726×*-un-lft-identity
487×add-sqr-sqrt
482×add-cube-cbrt
260×associate-*r*
246×cbrt-div
122×distribute-lft-out
82×frac-times
71×flip3-+ flip-+
55×associate-*l/
52×add-exp-log
46×associate-/r*
34×associate-/r/
27×add-cbrt-cube
20×prod-exp cbrt-unprod
19×div-inv
17×associate-*r/
15×pow1
14×cbrt-undiv div-exp associate-*l*
10×associate-/l*
7×pow-prod-down
4×add-log-exp
2×clear-num frac-2neg *-commutative unswap-sqr associate-/l/
Counts
4 → 741
Calls
4 calls:
19.0ms
(/ y (cbrt (cbrt (+ x 4.0))))
455.0ms
(* (* (* (cbrt (+ x 4.0)) (cbrt (cbrt (+ x 4.0)))) (cbrt (cbrt (+ x 4.0)))) (/ (cbrt (+ x 4.0)) (/ y (cbrt (cbrt (+ x 4.0))))))
37.0ms
(/ (cbrt (+ x 4.0)) (/ y (cbrt (cbrt (+ x 4.0)))))
17.0ms
(* (/ x y) z)

series929.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(/ y (cbrt (cbrt (+ x 4.0))))
50.0ms
(* (* (* (cbrt (+ x 4.0)) (cbrt (cbrt (+ x 4.0)))) (cbrt (cbrt (+ x 4.0)))) (/ (cbrt (+ x 4.0)) (/ y (cbrt (cbrt (+ x 4.0))))))
626.0ms
(/ (cbrt (+ x 4.0)) (/ y (cbrt (cbrt (+ x 4.0)))))
54.0ms
(* (/ x y) z)

simplify2.2s

Counts
753 → 753
Iterations

Useful iterations: done (2.2s)

IterNodesCost
094321766
1332720589
done500119761

prune4.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11926
done1926

end0.0ms

sample1.2s

Algorithm
intervals
Results
729.0ms10207×body80valid