Details

Time bar (total: 11.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
212123
315123
417123
518123
done18123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 1 expressions with local error:

11.3b
(/ (* x y) (+ y 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-cbrt-cube add-exp-log
4×associate-/r* times-frac
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
19.0ms
(/ (* x y) (+ y 1.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* x y) (+ y 1.0))

simplify3.2s

Counts
30 → 30
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0747291
12115882
28015712
337405387
done50185312

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 74
Calls
2 calls:
15.0ms
(/ y (+ y 1.0))
25.0ms
(* x (/ y (+ y 1.0)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ y (+ y 1.0))
56.0ms
(* x (/ y (+ y 1.0)))

simplify1.7s

Counts
80 → 80
Iterations

Useful iterations: done (1.7s)

IterNodesCost
012518610
132715487
2122214940
done500014610

prune320.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)))
0.1b
(* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0))
16.6b
(/ y (- (* y y) (* 1.0 1.0)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
25×times-frac
21×associate-*l*
19×add-cbrt-cube add-exp-log
10×pow1
9×associate-*r/
8×difference-of-squares
7×prod-exp cbrt-unprod
6×sub-neg flip3-- associate-*r* flip--
4×frac-times associate-/r* pow-prod-down associate-/r/
3×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u associate-/l* add-log-exp
2×associate-*l/ *-commutative div-inv unswap-sqr
1×clear-num frac-2neg distribute-lft-out--
Counts
3 → 173
Calls
3 calls:
72.0ms
(* x (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)))
50.0ms
(* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0))
11.0ms
(/ y (- (* y y) (* 1.0 1.0)))

series346.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(* x (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)))
85.0ms
(* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0))
127.0ms
(/ y (- (* y y) (* 1.0 1.0)))

simplify3.7s

Counts
182 → 182
Iterations

Useful iterations: done (3.6s)

IterNodesCost
030893959
194883981
2314469968
done501269813

prune976.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
18123
done8123

end0.0ms

sample571.0ms

Algorithm
intervals
Results
343.0ms8000×body80valid