Details

Time bar (total: 5.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
39.0ms
(/ (+ x y) (+ y 1.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ x y) (+ y 1.0))

simplify873.0ms

Counts
45 → 45
Iterations

Useful iterations: 2 (360.0ms)

IterNodesCost
080552
1203526
2795492
done5000492

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.2b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite91.0ms

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*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 156
Calls
2 calls:
42.0ms
(/ (+ y 1.0) (+ x y))
37.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (+ y 1.0) (+ x y))
46.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify1.6s

Counts
162 → 162
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01972584
15172185
229952054
done50012048

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
6.0ms
(cbrt (+ y 1.0))
6.0ms
(cbrt (+ y 1.0))
5.0ms
(cbrt (+ y 1.0))
60.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ y 1.0))
114.0ms
(cbrt (+ y 1.0))
115.0ms
(cbrt (+ y 1.0))
112.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))

simplify823.0ms

Counts
115 → 115
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
01431535
13411394
212811323
done50001256

prune376.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample590.0ms

Algorithm
intervals
Results
269.0ms7999×body80valid
0.0ms1×body320valid