Details

Time bar (total: 11.9s)

sample33.0ms

Algorithm
intervals
Results
18.0ms288×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
144468
131561
12595
11277
10170
9166
8148
7120
686
574
460
345
230
119
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize11.0ms

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))

rewrite88.0ms

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 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 → 54
Calls
2 calls:
54.0ms
(* x (+ (/ x y) 1.0))
33.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series89.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (/ x y) 1.0))
54.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts
60 → 60
Iterations
IterNodes
done5000
21927
1332
0106

prune263.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite103.0ms

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 log1p-expm1-u add-log-exp associate-/l/
Counts
2 → 150
Calls
2 calls:
50.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
43.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series146.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
89.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts
156 → 156
Iterations
IterNodes
done5000
23171
1573
0210

prune621.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

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×expm1-log1p-u frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod log1p-expm1-u 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 → 81
Calls
2 calls:
8.0ms
(/ x (+ x 1.0))
88.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (+ x 1.0))
46.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
22980
1515
0144

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize57.0ms

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)

rewrite23.0ms

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×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:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series970.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (cbrt x) (cbrt x))
229.0ms
(cbrt x)
200.0ms
(cbrt x)
249.0ms
(cbrt x)

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune463.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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

sample663.0ms

Algorithm
intervals
Results
445.0ms9128×body80valid