Details

Time bar (total: 11.4s)

sample30.0ms

Algorithm
intervals
Results
15.0ms288×body80valid

simplify134.0ms

Counts
1 → 1
Iterations
IterNodes
done112
12112
11111
10107
9103
897
792
673
562
447
339
226
119
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.0b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite106.0ms

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×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod 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 → 50
Calls
2 calls:
65.0ms
(* x (+ (/ x y) 1.0))
39.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series105.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (+ (/ x y) 1.0))
64.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts
56 → 56
Iterations
IterNodes
done5005
21347
1321
0102

prune271.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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×pow1 clear-num frac-2neg add-log-exp associate-/l/
Counts
2 → 146
Calls
2 calls:
35.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
33.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series153.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
91.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts
152 → 152
Iterations
IterNodes
done5008
22107
1557
0206

prune598.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out
4×pow1 associate-/r* flip3-+ associate-*r* associate-/r/ flip-+
3×associate-/l*
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
2 → 77
Calls
2 calls:
9.0ms
(/ x (+ x 1.0))
86.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series98.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ x (+ x 1.0))
51.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5001
22288
1502
0140

prune346.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube 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 → 73
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (cbrt x) (cbrt x))
257.0ms
(cbrt x)
232.0ms
(cbrt x)
257.0ms
(cbrt x)

simplify2.9s

Counts
85 → 85
Iterations
IterNodes
done5007
43735
31034
2377
1136
061

prune365.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample807.0ms

Algorithm
intervals
Results
490.0ms9128×body80valid