Details

Time bar (total: 24.7s)

sample48.0ms

Algorithm
intervals
Results
23.0ms324×body80valid

simplify517.0ms

Counts
1 → 1
Iterations
IterNodes
done54
754
651
548
442
335
229
116
010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize80.0ms

Local error

Found 3 expressions with local error:

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

rewrite233.0ms

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/ insert-posit16
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 → 82
Calls
3 calls:
57.0ms
(/ (+ x 4.0) y)
140.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(* (/ x y) z)

series174.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (+ x 4.0) y)
68.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
51.0ms
(* (/ x y) z)

simplify3.1s

Counts
91 → 91
Iterations
IterNodes
done5000
21136
1353
0145

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0b
(* x (/ z y))

rewrite262.0ms

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-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*l* associate-*r/ insert-posit16
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 → 82
Calls
3 calls:
68.0ms
(/ (+ x 4.0) y)
138.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
46.0ms
(* x (/ z y))

series210.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ x 4.0) y)
112.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
51.0ms
(* x (/ z y))

simplify2.8s

Counts
91 → 91
Iterations
IterNodes
done5001
21136
1363
0145

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize133.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (/ 4.0 y) (/ x (/ y z))) (/ x y))
0.0b
(- (/ 4.0 y) (/ x (/ y z)))
7.2b
(/ x (/ y z))

rewrite679.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
66×add-sqr-sqrt
62×*-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-cbrt-cube add-exp-log
6×difference-of-squares
5×div-inv
4×distribute-lft-out--
3×pow1 cbrt-undiv div-exp frac-add insert-posit16 distribute-lft-out associate-/l*
2×associate-+l+ sum-log sub-neg flip3-- diff-log frac-sub flip--
1×+-commutative clear-num frac-2neg flip3-+ associate-/r/ associate-+l- flip-+
Counts
3 → 115
Calls
3 calls:
550.0ms
(+ (- (/ 4.0 y) (/ x (/ y z))) (/ x y))
94.0ms
(- (/ 4.0 y) (/ x (/ y z)))
24.0ms
(/ x (/ y z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ (- (/ 4.0 y) (/ x (/ y z))) (/ x y))
67.0ms
(- (/ 4.0 y) (/ x (/ y z)))
34.0ms
(/ x (/ y z))

simplify4.1s

Counts
124 → 124
Iterations
IterNodes
done5000
21883
1581
0233

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize76.0ms

Local error

Found 1 expressions with local error:

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

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 31
Calls
1 calls:
203.0ms
(/ (- (+ x 4.0) (* x z)) y)

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify5.0s

Counts
34 → 34
Iterations
IterNodes
done5010
32465
2551
1172
069

prune333.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.1s

Accuracy

74.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch111.0ms

Steps
ItersRangePoint
6
9.025941863671503e-130
8.161316594863629e-129
8.018719735392733e-129
9
-1.0774777323356615e+55
-4.149058296280013e+49
-4.5186598216349587e+49

simplify15.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample1.2s

Algorithm
intervals
Results
737.0ms10058×body80valid