Details

Time bar (total: 4.0s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
052
152

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
5.0ms
(/ x (+ x y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ x (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune56.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.8b
(/ 1 (/ (+ x y) x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×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 flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
8.0ms
(/ (+ x y) x)
8.0ms
(/ 1 (/ (+ x y) x))

series57.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (+ x y) x)
37.0ms
(/ 1 (/ (+ x y) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0352814
11552715
25001625

prune144.0ms

Filtered
131 candidates to 65 candidates (49.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)))
6.7b
(cbrt (/ (+ x y) x))
6.7b
(cbrt (/ (+ x y) x))
6.7b
(cbrt (/ (+ x y) x))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
3830×times-frac
2291×*-un-lft-identity
2016×cbrt-prod
1535×add-sqr-sqrt add-cube-cbrt
378×distribute-lft-out
147×div-inv
62×associate-/l*
24×cbrt-div
21×associate-/r/
19×associate-/r*
13×add-exp-log
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 1363
Calls
4 calls:
54.0ms
(/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)))
3.0ms
(cbrt (/ (+ x y) x))
3.0ms
(cbrt (/ (+ x y) x))
3.0ms
(cbrt (/ (+ x y) x))

series513.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)))
118.0ms
(cbrt (/ (+ x y) x))
118.0ms
(cbrt (/ (+ x y) x))
125.0ms
(cbrt (/ (+ x y) x))

simplify267.0ms

Algorithm
egg-herbie
Counts
1375 → 1375
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0353028008
1500126684

prune1.8s

Filtered
1375 candidates to 462 candidates (33.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(pow (/ x (+ x y)) 3)
12.4b
(cbrt (pow (/ x (+ x y)) 3))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 147
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(pow (/ x (+ x y)) 3)
8.0ms
(cbrt (pow (/ x (+ x y)) 3))

series159.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x y))
78.0ms
(pow (/ x (+ x y)) 3)
39.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0396820
11788741
25001733

prune195.0ms

Filtered
156 candidates to 76 candidates (48.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152

end0.0ms

sample246.0ms

Algorithm
intervals
Results
123.0ms8000×body80valid