Details

Time bar (total: 14.1s)

sample36.0ms

Algorithm
intervals
Results
23.0ms320×body80valid

simplify89.0ms

Counts
1 → 1
Iterations
IterNodes
854
754
651
548
442
335
229
116
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.5b
(* (/ x y) z)

rewrite100.0ms

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:
28.0ms
(/ (+ x 4) y)
59.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
11.0ms
(* (/ x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 4) y)
63.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
39.0ms
(* (/ x y) z)

simplify1.8s

Counts
91 → 91
Iterations
IterNodes
33445
21054
1354
0145

prune531.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z (/ x y)) (/ x y))
0.0b
(- (/ 4 y) (- (* z (/ x y)) (/ x y)))
2.5b
(* z (/ x y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
12×times-frac
11×add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
6×associate-*r/ frac-sub
5×pow1
4×diff-log sub-div
3×sub-neg flip3-- associate-*l* insert-posit16 flip--
2×distribute-rgt-out-- prod-exp cbrt-unprod associate--r+ difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- associate--r-
Counts
3 → 75
Calls
3 calls:
9.0ms
(- (* z (/ x y)) (/ x y))
35.0ms
(- (/ 4 y) (- (* z (/ x y)) (/ x y)))
13.0ms
(* z (/ x y))

series138.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (* z (/ x y)) (/ x y))
64.0ms
(- (/ 4 y) (- (* z (/ x y)) (/ x y)))
26.0ms
(* z (/ x y))

simplify2.1s

Counts
84 → 84
Iterations
IterNodes
35326
21189
1386
0151

prune413.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4) (* x z))
3.6b
(/ (- (+ x 4) (* x z)) y)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 46
Calls
2 calls:
27.0ms
(- (+ x 4) (* x z))
67.0ms
(/ (- (+ x 4) (* x z)) y)

series118.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (+ x 4) (* x z))
82.0ms
(/ (- (+ x 4) (* x z)) y)

simplify791.0ms

Counts
52 → 52
Iterations
IterNodes
32583
2676
1212
085

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* z x) (/ 1 y)) (/ x y))
0.0b
(- (/ 4 y) (- (* (* z x) (/ 1 y)) (/ x y)))
7.3b
(* (* z x) (/ 1 y))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
15×add-sqr-sqrt add-cbrt-cube
13×associate-*r*
12×*-un-lft-identity prod-exp
10×times-frac frac-sub add-cube-cbrt add-log-exp
8×pow1 sub-div
6×associate-*r/ un-div-inv cbrt-unprod
4×diff-log div-exp
3×sub-neg flip3-- pow-prod-down insert-posit16 flip--
2×cbrt-undiv rec-exp 1-exp div-inv associate--r+ difference-of-squares
1×distribute-rgt-out-- associate-*l* *-commutative distribute-lft-out-- associate--r-
Counts
3 → 85
Calls
3 calls:
40.0ms
(- (* (* z x) (/ 1 y)) (/ x y))
71.0ms
(- (/ 4 y) (- (* (* z x) (/ 1 y)) (/ x y)))
34.0ms
(* (* z x) (/ 1 y))

series132.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (* (* z x) (/ 1 y)) (/ x y))
52.0ms
(- (/ 4 y) (- (* (* z x) (/ 1 y)) (/ x y)))
35.0ms
(* (* z x) (/ 1 y))

simplify4.9s

Counts
94 → 94
Iterations
IterNodes
35793
21625
1476
0172

prune305.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

75.2% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch125.0ms

Steps
ItersRangePoint
8
1.1709773706454529e-124
2.3478752331477913e-121
3.5037736689937804e-122
7
-4.284428049170666e+64
-2.1340425119356898e+63
-2.1618774464985056e+63

simplify5.0ms

Iterations
IterNodes
227
127
021

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10158×body80valid