Details

Time bar (total: 9.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
33912
44612
55212
65512
done5512

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.3b
(* (/ x y) z)

rewrite47.0ms

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:
8.0ms
(/ (+ x 4.0) y)
29.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (+ x 4.0) y)
43.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
0142904
1342859
2982785
33142785
done5001785

prune236.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
0.0b
(+ (/ 4.0 y) (/ x y))
2.3b
(* (/ x y) z)

rewrite159.0ms

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:
131.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
18.0ms
(+ (/ 4.0 y) (/ x y))
8.0ms
(* (/ x y) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
25.0ms
(+ (/ 4.0 y) (/ x y))
21.0ms
(* (/ x y) z)

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: 3 (888.0ms)

IterNodesCost
0132939
1333882
21100784
34328772
done5001772

prune212.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ x y) z)
14.6b
(cbrt (* (/ x y) z))
14.6b
(cbrt (* (/ x y) z))
14.6b
(cbrt (* (/ x y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
8.0ms
(* (/ x y) z)
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))

series269.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ x y) z)
81.0ms
(cbrt (* (/ x y) z))
82.0ms
(cbrt (* (/ x y) z))
84.0ms
(cbrt (* (/ x y) z))

simplify1.2s

Counts
74 → 74
Iterations

Useful iterations: 3 (322.0ms)

IterNodesCost
0101651
1218631
2627554
31901518
done5000518

prune276.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
15.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series644.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
172.0ms
(cbrt z)
178.0ms
(cbrt z)
113.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.8s

Counts
80 → 80
Iterations

Useful iterations: 3 (522.0ms)

IterNodesCost
097655
1253632
2763486
33568477
done5000477

prune232.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11214
done1214

end0.0ms

sample539.0ms

Algorithm
intervals
Results
321.0ms10137×body80valid