Details

Time bar (total: 37.2s)

sample34.0ms

Algorithm
intervals
Results
16.0ms288×body80valid

simplify413.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.7b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
13×fma-def times-frac
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
40.0ms
(+ (/ x y) 1.0)
88.0ms
(* x (+ (/ x y) 1.0))
71.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series157.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ x y) 1.0)
54.0ms
(* x (+ (/ x y) 1.0))
79.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify4.5s

Counts
90 → 90
Iterations
IterNodes
done5002
21473
1338
0113

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
79×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
13×fma-def
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 177
Calls
3 calls:
35.0ms
(+ (/ x y) 1.0)
78.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
74.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series262.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (/ x y) 1.0)
95.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
145.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify4.2s

Counts
186 → 186
Iterations
IterNodes
done5003
22208
1574
0217

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 3 expressions with local error:

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

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
34×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt
18×associate-*l*
13×fma-def
10×add-exp-log add-cbrt-cube
9×distribute-lft-out
5×pow1 flip3-+ flip-+ add-log-exp
4×associate-*r* associate-/r* associate-/r/
3×expm1-log1p-u log1p-expm1-u div-inv associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 108
Calls
3 calls:
38.0ms
(+ (/ x y) 1.0)
27.0ms
(/ x (+ x 1.0))
208.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series178.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ x y) 1.0)
64.0ms
(/ x (+ x 1.0))
90.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify4.8s

Counts
117 → 117
Iterations
IterNodes
done5004
22421
1524
0151

prune813.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.7s

Counts
4 → 12
Calls
4 calls:
406.0ms
(* (cbrt x) (cbrt x))
553.0ms
(cbrt x)
389.0ms
(cbrt x)
401.0ms
(cbrt x)

simplify13.3s

Counts
93 → 93
Iterations
IterNodes
done5005
44247
31097
2382
1141
065

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes344.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
815.0ms9130×body80valid