Details

Time bar (total: 18.9s)

sample26.0ms

Algorithm
intervals
Results
16.0ms302×body80valid

simplify3.9s

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: 8.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.0b
(/ (* x (+ (- y z) 1.0)) z)

rewrite89.0ms

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:
51.0ms
(* x (+ (- y z) 1.0))
37.0ms
(/ (* x (+ (- y z) 1.0)) z)

series96.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
60.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.8s

Counts
59 → 59
Iterations
IterNodes
done5000
34804
2975
1276
0100

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ x z) 1.0 (* y (/ x z)))
0.0b
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
2.6b
(* y (/ x z))

rewrite26.0ms

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:
0.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
9.0ms
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
15.0ms
(* y (/ x z))

series153.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
53.0ms
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
34.0ms
(* y (/ x z))

simplify2.8s

Counts
85 → 85
Iterations
IterNodes
done5000
34932
21024
1323
0135

prune416.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite155.0ms

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:
70.0ms
(/ (+ (- y z) 1.0) z)
82.0ms
(* x (/ (+ (- y z) 1.0) z))

series123.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (+ (- y z) 1.0) z)
70.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify2.9s

Counts
88 → 88
Iterations
IterNodes
done5000
34257
2945
1289
0113

prune407.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
0.2b
(/ 1 (/ z (* x (+ (- y z) 1.0))))
8.1b
(/ z (* x (+ (- y z) 1.0)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
30×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-+ flip-+ div-inv associate-/l*
5×associate-*r* prod-exp
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative pow-flip distribute-lft-out-- inv-pow unswap-sqr
Counts
3 → 120
Calls
3 calls:
53.0ms
(* x (+ (- y z) 1.0))
54.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
24.0ms
(/ z (* x (+ (- y z) 1.0)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* x (+ (- y z) 1.0))
58.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
118.0ms
(/ z (* x (+ (- y z) 1.0)))

simplify2.0s

Counts
129 → 129
Iterations
IterNodes
done5008
21854
1490
0195

prune382.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes271.0ms

Accuracy

55.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s10032×body80valid