Details

Time bar (total: 9.0s)

sample43.0ms

Algorithm
intervals
Results
31.0ms285×body80valid

simplify149.0ms

Counts
1 → 1
Iterations
IterNodes
done128
12128
11127
10123
9119
8113
7100
681
570
455
343
228
119
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.5b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 associate-/r* times-frac associate-*r* associate-*r/
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 56
Calls
2 calls:
36.0ms
(* x (+ (/ x y) 1.0))
37.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series394.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (/ x y) 1.0))
359.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
62 → 62
Iterations
IterNodes
done5003
21402
1332
0108

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
2 → 152
Calls
2 calls:
37.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
31.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
52.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify1.5s

Counts
158 → 158
Iterations
IterNodes
done5002
22102
1562
0212

prune615.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 x (/ (* x x) y))
5.0b
(/ (* x x) y)
7.5b
(/ (fma 1.0 x (/ (* x x) y)) (+ x 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
10×add-cbrt-cube add-exp-log
7×associate-/r*
4×distribute-lft-out associate-/l*
3×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/ div-inv
1×flip3-+ prod-exp cbrt-unprod flip-+ fma-udef
Counts
3 → 71
Calls
3 calls:
0.0ms
(fma 1.0 x (/ (* x x) y))
18.0ms
(/ (* x x) y)
8.0ms
(/ (fma 1.0 x (/ (* x x) y)) (+ x 1.0))

series153.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma 1.0 x (/ (* x x) y))
26.0ms
(/ (* x x) y)
80.0ms
(/ (fma 1.0 x (/ (* x x) y)) (+ x 1.0))

simplify1.0s

Counts
80 → 80
Iterations
IterNodes
done5001
21168
1305
0123

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 x (/ x (/ y x)))
0.2b
(/ x (/ y x))
7.5b
(/ (fma 1.0 x (/ x (/ y x))) (+ x 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
62×*-un-lft-identity
54×add-sqr-sqrt add-cube-cbrt
17×associate-/r*
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
4×cbrt-undiv div-exp distribute-lft-out
3×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×flip3-+ flip-+ fma-udef
Counts
3 → 120
Calls
3 calls:
0.0ms
(fma 1.0 x (/ x (/ y x)))
6.0ms
(/ x (/ y x))
8.0ms
(/ (fma 1.0 x (/ x (/ y x))) (+ x 1.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma 1.0 x (/ x (/ y x)))
24.0ms
(/ x (/ y x))
56.0ms
(/ (fma 1.0 x (/ x (/ y x))) (+ x 1.0))

simplify1.6s

Counts
129 → 129
Iterations
IterNodes
done5000
21711
1522
0220

prune410.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample908.0ms

Algorithm
intervals
Results
760.0ms9125×body80valid