Details

Time bar (total: 10.3s)

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
31.0ms
(/ (+ x y) (+ y 1.0))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (+ x y) (+ y 1.0))

simplify2.6s

Counts
45 → 45
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
080552
1198526
2555492
31313492
43872492
done5000492

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
4.9b
(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
17.8b
(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
161×*-un-lft-identity
73×times-frac
64×distribute-lft-out
42×associate-*l*
38×add-sqr-sqrt
36×unpow-prod-down cube-prod
33×add-cube-cbrt
10×add-exp-log add-cbrt-cube
9×associate-/r* sum-cubes
8×add-log-exp
6×flip3-+ flip-+
5×pow1
4×associate-/r/ associate-/l*
3×expm1-log1p-u associate-+r+ associate-*r* log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp sum-log cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in associate-+r- sub-neg fma-def frac-2neg distribute-lft-in diff-log prod-diff pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 155
Calls
3 calls:
27.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
66.0ms
(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
241.0ms
(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series228.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
90.0ms
(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
107.0ms
(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify1.6s

Counts
164 → 164
Iterations

Useful iterations: 2 (516.0ms)

IterNodesCost
01873492
16203018
224992799
done50002799

prune450.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.1b
(* (/ (+ x y) (+ y 1.0)) (fma y y (* 1.0 (- 1.0 y))))
0.3b
(/ 1 (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
19.5b
(* (/ 1 (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (fma y y (* 1.0 (- 1.0 y)))))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
54×add-exp-log
51×times-frac
44×add-sqr-sqrt
39×add-cube-cbrt
37×associate-*l*
34×add-cbrt-cube
22×prod-exp
18×distribute-lft-out
14×div-exp
12×pow1 cbrt-unprod
8×cbrt-undiv associate-/r/
7×associate-/r* associate-/l*
6×fma-udef
5×distribute-rgt-in distribute-lft-in flip3-+ flip-+
4×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/ unswap-sqr
1×frac-times pow-flip associate-*r/ inv-pow
Counts
4 → 175
Calls
4 calls:
41.0ms
(/ (+ x y) (+ y 1.0))
65.0ms
(* (/ (+ x y) (+ y 1.0)) (fma y y (* 1.0 (- 1.0 y))))
42.0ms
(/ 1 (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
140.0ms
(* (/ 1 (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (fma y y (* 1.0 (- 1.0 y)))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (+ x y) (+ y 1.0))
119.0ms
(* (/ (+ x y) (+ y 1.0)) (fma y y (* 1.0 (- 1.0 y))))
57.0ms
(/ 1 (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
150.0ms
(* (/ 1 (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (fma y y (* 1.0 (- 1.0 y)))))

simplify3.0s

Counts
187 → 187
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02664453
17333860
228533293
done50012645

prune506.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample464.0ms

Algorithm
intervals
Results
207.0ms7999×body80valid
0.0ms1×body1280valid