Details

Time bar (total: 9.6s)

sample35.0ms

Algorithm
intervals
Results
23.0ms324×body80valid

simplify53.0ms

Counts
1 → 1
Iterations
IterNodes
done54
654
551
445
338
229
116
010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
3.3b
(* (/ x y) z)

rewrite56.0ms

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:
13.0ms
(/ (+ x 4) y)
32.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
9.0ms
(* (/ x y) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ x 4) y)
47.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

simplify1.1s

Counts
91 → 91
Iterations
IterNodes
done5001
21618
1356
0145

prune294.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* x (/ z y)))
7.0b
(* x (/ z y))

rewrite68.0ms

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:
20.0ms
(/ (+ x 4) y)
36.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
11.0ms
(* x (/ z y))

series136.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (+ x 4) y)
67.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
31.0ms
(* x (/ z y))

simplify1.1s

Counts
91 → 91
Iterations
IterNodes
done5001
21472
1374
0145

prune374.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (/ 4 y) (/ x (/ y z))) (/ x y))
0.0b
(- (/ 4 y) (/ x (/ y z)))
7.2b
(/ x (/ y z))

rewrite458.0ms

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:
420.0ms
(+ (- (/ 4 y) (/ x (/ y z))) (/ x y))
25.0ms
(- (/ 4 y) (/ x (/ y z)))
11.0ms
(/ x (/ y z))

series124.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (- (/ 4 y) (/ x (/ y z))) (/ x y))
48.0ms
(- (/ 4 y) (/ x (/ y z)))
26.0ms
(/ x (/ y z))

simplify1.2s

Counts
124 → 124
Iterations
IterNodes
done5002
22411
1589
0233

prune622.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

4.0b
(/ (- (+ x 4) (* x z)) y)

rewrite57.0ms

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:
57.0ms
(/ (- (+ x 4) (* x z)) y)

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- (+ x 4) (* x z)) y)

simplify1.7s

Counts
34 → 34
Iterations
IterNodes
done5000
34107
2618
1172
069

prune177.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes334.0ms

Accuracy

76% (0.4b remaining)

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

bsearch126.0ms

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

simplify7.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10058×body80valid