Details

Time bar (total: 8.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:
27.0ms
(/ (+ x y) (+ y 1.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (+ x y) (+ y 1.0))

simplify618.0ms

Counts
45 → 45
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
080552
1203526
2795492
done5000492

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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:
35.0ms
(/ (+ y 1.0) (+ x y))
28.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (+ y 1.0) (+ x y))
53.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify1.4s

Counts
162 → 162
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01972584
15172185
229952054
done50012048

prune210.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite70.0ms

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:
52.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
202.0ms
(cbrt (+ x y))
489.0ms
(cbrt (+ x y))
178.0ms
(cbrt (+ x y))

simplify878.0ms

Counts
115 → 115
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
01201316
12881186
211681128
done50001104

prune406.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.1b
(pow (/ (+ x y) (+ y 1.0)) 3)
17.2b
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
135×*-un-lft-identity
80×times-frac
51×add-sqr-sqrt add-cube-cbrt
50×cbrt-prod
44×unpow-prod-down cube-prod
42×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-+ flip-+
5×div-inv
4×pow1 associate-/r* associate-/l*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 170
Calls
3 calls:
51.0ms
(/ (+ x y) (+ y 1.0))
27.0ms
(pow (/ (+ x y) (+ y 1.0)) 3)
26.0ms
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

series242.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (+ x y) (+ y 1.0))
90.0ms
(pow (/ (+ x y) (+ y 1.0)) 3)
94.0ms
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

simplify1.9s

Counts
179 → 179
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01973046
16752519
239702316
done50022311

prune365.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

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
067
187
done87

end0.0ms

sample611.0ms

Algorithm
intervals
Results
268.0ms7999×body80valid
0.0ms1×body1280valid