Details

Time bar (total: 19.8s)

sample46.0ms

Algorithm
intervals
Results
28.0ms331×body80valid

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5001
83211
71893
61154
5639
4260
3105
244
122
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 53
Calls
2 calls:
74.0ms
(* x (+ (- y z) 1.0))
47.0ms
(/ (* x (+ (- y z) 1.0)) z)

series132.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* x (+ (- y z) 1.0))
64.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.7s

Counts
59 → 59
Iterations
IterNodes
done5000
34804
2975
1276
0100

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
0.0b
(fma (/ x z) 1.0 (* y (/ x z)))
2.0b
(* y (/ x z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
13×associate-*r*
10×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate--l+ associate-*r/ *-commutative div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
5.0ms
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
0.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
9.0ms
(* y (/ x z))

series126.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
58.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
22.0ms
(* y (/ x z))

simplify3.2s

Counts
85 → 85
Iterations
IterNodes
done5000
34685
21025
1323
0135

prune331.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
1.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
42.0ms
(/ z (+ (- y z) 1.0))
32.0ms
(/ x (/ z (+ (- y z) 1.0)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ z (+ (- y z) 1.0))
73.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.8s

Counts
151 → 151
Iterations
IterNodes
done5000
21797
1520
0206

prune632.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
2.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-cbrt-cube add-exp-log
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative associate-+l- flip-+
Counts
2 → 82
Calls
2 calls:
65.0ms
(/ (+ (- y z) 1.0) z)
73.0ms
(* x (/ (+ (- y z) 1.0) z))

series121.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (+ (- y z) 1.0) z)
76.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify3.0s

Counts
88 → 88
Iterations
IterNodes
done5000
34257
2945
1289
0113

prune353.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

91.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch98.0ms

Steps
ItersRangePoint
9
8.32217611261001e-129
1.409384600835136e-121
1.2340705215670025e-123
4
-1.359366204371686e-43
-8.48284463341857e-44
-1.3418778201574405e-43

simplify4.0ms

Iterations
IterNodes
done25
125
022

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s10050×body80valid