Details

Time bar (total: 19.2s)

sample73.0ms

Algorithm
intervals
Results
52.0ms320×body80valid

simplify83.0ms

Counts
1 → 1
Iterations
IterNodes
858
758
655
552
446
339
229
116
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize24.0ms

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)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
15.0ms
(/ (+ x 4) y)
44.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms
(* (/ x y) z)

series112.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (+ x 4) y)
55.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
23.0ms
(* (/ x y) z)

simplify4.5s

Counts
129 → 129
Iterations
IterNodes
34394
21304
1414
0168

prune670.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
8×add-cbrt-cube fma-neg prod-diff add-exp-log div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub insert-posit16 log1p-expm1-u
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 104
Calls
3 calls:
24.0ms
(+ (/ 4 y) (/ x y))
134.0ms
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series160.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (/ 4 y) (/ x y))
71.0ms
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
38.0ms
(* (/ x y) z)

simplify4.5s

Counts
113 → 113
Iterations
IterNodes
35542
21461
1399
0156

prune445.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-cbrt-cube fma-neg prod-diff add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- diff-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 58
Calls
2 calls:
29.0ms
(- (+ x 4) (* x z))
52.0ms
(/ (- (+ x 4) (* x z)) y)

series98.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- (+ x 4) (* x z))
73.0ms
(/ (- (+ x 4) (* x z)) y)

simplify1.0s

Counts
64 → 64
Iterations
IterNodes
32674
2731
1237
099

prune247.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4) (* x z))
3.7b
(* (- (+ x 4) (* x z)) (/ 1 y))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
11×times-frac add-exp-log
7×add-cbrt-cube add-log-exp
4×pow1 fma-neg prod-diff prod-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×expm1-log1p-u frac-times diff-log div-exp associate-*l/ cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out
1×cbrt-undiv rec-exp sum-log sub-neg 1-exp pow-prod-down associate--l+ associate-*r/ un-div-inv *-commutative div-inv
Counts
2 → 68
Calls
2 calls:
37.0ms
(- (+ x 4) (* x z))
77.0ms
(* (- (+ x 4) (* x z)) (/ 1 y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- (+ x 4) (* x z))
53.0ms
(* (- (+ x 4) (* x z)) (/ 1 y))

simplify4.7s

Counts
74 → 74
Iterations
IterNodes
34796
21081
1315
0126

prune290.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

75.2% (0.3b remaining)

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

bsearch91.0ms

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

simplify7.0ms

Iterations
IterNodes
228
128
021

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10158×body80valid