Details

Time bar (total: 14.5s)

sample34.0ms

Algorithm
intervals
Results
14.0ms311×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65312
done5312

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite145.0ms

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-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
88.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
17.0ms
(* (/ x y) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ x 4.0) y)
71.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify2.9s

Counts
88 → 88
Iterations

Useful iterations: 2 (255.0ms)

IterNodesCost
0142904
1340859
2979785
32991785
done5001785

prune257.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.5b
(* x (/ z y))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
22.0ms
(/ (+ x 4.0) y)
62.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
16.0ms
(* x (/ z y))

series113.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ x 4.0) y)
53.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
24.0ms
(* x (/ z y))

simplify2.3s

Counts
88 → 88
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
0142920
1345863
2971797
32909797
done5001797

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
2.1b
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
49.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series837.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt y)
251.0ms
(cbrt y)
230.0ms
(cbrt y)
54.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify1.6s

Counts
104 → 104
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01401213
14001157
21683867
done5000776

prune439.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4.0 y) (/ x y))
0.0b
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×add-cube-cbrt associate-*l*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
4×associate-*l/ distribute-lft-out
3×associate-*r* frac-sub div-inv
2×flip3-+ diff-log frac-add prod-exp sum-log cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 66
Calls
3 calls:
29.0ms
(+ (/ 4.0 y) (/ x y))
284.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
25.0ms
(* (/ x y) z)

series119.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (/ 4.0 y) (/ x y))
56.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
30.0ms
(* (/ x y) z)

simplify3.1s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0132939
1332882
21081784
34283772
done5000772

prune318.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01319
11519
done1519

end0.0ms

sample1.3s

Algorithm
intervals
Results
747.0ms10153×body80valid