Details

Time bar (total: 14.9s)

sample42.0ms

Algorithm
intervals
Results
20.0ms334×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65312
done5312

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.4b
(* (/ x y) z)

rewrite128.0ms

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)
69.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (+ x 4.0) y)
65.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

simplify3.0s

Counts
88 → 88
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
0142904
1340859
2979785
32991785
done5001785

prune329.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
3.3b
(* (/ x y) (- 1 z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 distribute-rgt-in frac-times sub-neg associate-+l+ flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 63
Calls
2 calls:
45.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
49.0ms
(* (/ x y) (- 1 z))

series120.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
61.0ms
(* (/ x y) (- 1 z))

simplify3.1s

Counts
69 → 69
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0142925
1381854
21168774
34292768
done5001768

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.6b
(* x (/ z y))

rewrite124.0ms

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:
29.0ms
(/ (+ x 4.0) y)
65.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
25.0ms
(* x (/ z y))

series152.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (+ x 4.0) y)
72.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
38.0ms
(* x (/ z y))

simplify2.0s

Counts
88 → 88
Iterations

Useful iterations: 2 (206.0ms)

IterNodesCost
0142920
1345863
2971797
32909797
done5001797

prune285.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
12.3b
(cbrt (/ z y))
12.3b
(cbrt (/ z y))
12.3b
(cbrt (/ z y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
48.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))

series391.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
100.0ms
(cbrt (/ z y))
100.0ms
(cbrt (/ z y))
69.0ms
(cbrt (/ z y))

simplify2.7s

Counts
100 → 100
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01271058
12361011
2530927
31253902
42881801
done5000762

prune383.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

36.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.6b

bsearch125.0ms

Steps
ItersRangePoint
8
9.68315564869146e-167
5.2133707281675864e-163
5.1458150027442665e-163
8
-1.5687549986519656e+132
-2.6401088364687958e+128
-7.768829658364722e+128

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample1.2s

Algorithm
intervals
Results
727.0ms10209×body80valid