Details

Time bar (total: 11.2s)

sample33.0ms

Algorithm
intervals
Results
22.0ms320×body80valid

simplify71.0ms

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: 1.2b

localize22.0ms

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)

rewrite80.0ms

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)
56.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms
(* (/ x y) z)

series130.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4) y)
76.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
26.0ms
(* (/ x y) z)

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done2000
32000
21151
1356
0145

prune918.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (/ 4 y) (/ x (/ y z))))
0.0b
(- (/ 4 y) (/ x (/ y z)))
6.4b
(/ x (/ y z))

rewrite76.0ms

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-+r+ sum-log sub-neg flip3-- diff-log frac-sub flip--
1×+-commutative clear-num associate-+r- frac-2neg flip3-+ associate-/r/ flip-+
Counts
3 → 115
Calls
3 calls:
43.0ms
(+ (/ x y) (- (/ 4 y) (/ x (/ y z))))
19.0ms
(- (/ 4 y) (/ x (/ y z)))
12.0ms
(/ x (/ y z))

series138.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (/ x y) (- (/ 4 y) (/ x (/ y z))))
53.0ms
(- (/ 4 y) (/ x (/ y z)))
26.0ms
(/ x (/ y z))

simplify928.0ms

Counts
124 → 124
Iterations
IterNodes
done2000
22000
1595
0232

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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))
63.0ms
(/ (- (+ x 4) (* x z)) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- (+ x 4) (* x z))
74.0ms
(/ (- (+ x 4) (* x z)) y)

simplify924.0ms

Counts
52 → 52
Iterations
IterNodes
done2001
32001
2729
1214
085

prune534.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
15×add-cbrt-cube
13×associate-*l*
12×*-un-lft-identity prod-exp
10×add-sqr-sqrt add-cube-cbrt add-log-exp
9×times-frac
8×pow1
6×cbrt-unprod
5×associate-*l/
4×div-exp frac-add
3×pow-prod-down insert-posit16
2×cbrt-undiv rec-exp associate-+r+ sum-log sub-neg flip3-- diff-log 1-exp frac-sub flip-- sub-div
1×+-commutative associate-+r- flip3-+ associate-*r* *-commutative flip-+ div-inv distribute-lft-out
Counts
3 → 74
Calls
3 calls:
62.0ms
(+ (/ x y) (- (/ 4 y) (* (/ 1 y) (* z x))))
39.0ms
(- (/ 4 y) (* (/ 1 y) (* z x)))
47.0ms
(* (/ 1 y) (* z x))

series171.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (/ x y) (- (/ 4 y) (* (/ 1 y) (* z x))))
68.0ms
(- (/ 4 y) (* (/ 1 y) (* z x)))
32.0ms
(* (/ 1 y) (* z x))

simplify1.2s

Counts
83 → 83
Iterations
IterNodes
done2000
32000
21430
1426
0150

prune911.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes263.0ms

Accuracy

75.2% (0.3b remaining)

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

bsearch120.0ms

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

simplify8.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s10158×body80valid