Details

Time bar (total: 7.6s)

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* x y) (+ y 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
24.0ms
(/ (* x y) (+ y 1.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* x y) (+ y 1.0))

simplify842.0ms

Counts
30 → 30
Iterations

Useful iterations: done (841.0ms)

IterNodesCost
074335
1211320
21161278
done5001274

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
12.0ms
(/ y (+ y 1.0))
56.0ms
(* x (/ y (+ y 1.0)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (+ y 1.0))
59.0ms
(* x (/ y (+ y 1.0)))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0125825
1331777
21549707
done5001703

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (/ 1 (/ (+ y 1.0) y)))
0.1b
(/ 1 (/ (+ y 1.0) y))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
137×*-un-lft-identity
107×add-sqr-sqrt
93×add-cube-cbrt
53×associate-*r*
32×add-exp-log
21×distribute-lft-out
16×associate-/r* add-cbrt-cube
14×div-exp
div-inv
prod-exp
cbrt-undiv
pow1 unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod associate-/l*
expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 174
Calls
2 calls:
73.0ms
(* x (/ 1 (/ (+ y 1.0) y)))
20.0ms
(/ 1 (/ (+ y 1.0) y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* x (/ 1 (/ (+ y 1.0) y)))
45.0ms
(/ 1 (/ (+ y 1.0) y))

simplify1.8s

Counts
180 → 180
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02442503
17061995
232941775
done50001769

prune422.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ y 1.0))
4.8b
(* (/ x (+ y 1.0)) y)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*r* associate-/l*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
13.0ms
(/ x (+ y 1.0))
31.0ms
(* (/ x (+ y 1.0)) y)

series132.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ x (+ y 1.0))
85.0ms
(* (/ x (+ y 1.0)) y)

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0126820
1330785
21498722
done5001714

prune299.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample710.0ms

Algorithm
intervals
Results
373.0ms8000×body80valid