Details

Time bar (total: 9.5s)

sample35.0ms

Algorithm
intervals
Results
16.0ms312×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65412
done5412

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.2b
(* (/ x y) z)

rewrite167.0ms

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:
39.0ms
(/ (+ x 4.0) y)
106.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series136.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (+ x 4.0) y)
61.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
41.0ms
(* (/ x y) z)

simplify1.1s

Counts
88 → 88
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
0142904
1351859
21679785
done5002785

prune316.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
2.1b
(* (/ x y) (- 1 z))

rewrite101.0ms

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-+r+ 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:
35.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
63.0ms
(* (/ x y) (- 1 z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
67.0ms
(* (/ x y) (- 1 z))

simplify3.1s

Counts
69 → 69
Iterations

Useful iterations: 2 (800.0ms)

IterNodesCost
0140921
1417838
22828778
done5002778

prune265.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
4.4b
(* x (/ z y))

rewrite151.0ms

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:
32.0ms
(/ (+ x 4.0) y)
87.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
29.0ms
(* x (/ z y))

series149.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ x 4.0) y)
78.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
22.0ms
(* x (/ z y))

simplify1.1s

Counts
88 → 88
Iterations

Useful iterations: 2 (344.0ms)

IterNodesCost
0142920
1369867
21511797
done5000797

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ (- (+ x 4.0) (* x z)) y)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
93.0ms
(/ (- (+ x 4.0) (* x z)) y)

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify618.0ms

Counts
33 → 33
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
068516
1171503
2664461
done5001461

prune81.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

26.1% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.7b

bsearch103.0ms

Steps
ItersRangePoint
5
1.8424324181750938e-243
5.722140960146307e-243
2.2950993932313607e-243
8
-1.460697026387385e+53
-3.363540908543386e+49
-2.775517148444542e+50

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample1.2s

Algorithm
intervals
Results
717.0ms10048×body80valid