Details

Time bar (total: 4.3s)

sample11.0ms

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

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))

rewrite7.0ms

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:
6.0ms
(/ x (+ x y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ x (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune57.0ms

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))

rewrite25.0ms

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:
10.0ms
(/ (+ x y) x)
9.0ms
(/ 1 (/ (+ x y) x))

series59.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ x y) x)
38.0ms
(/ 1 (/ (+ x y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0352814
11552715
25001625

prune144.0ms

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))

rewrite256.0ms

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:
60.0ms
(/ (/ 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))

series498.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)))
121.0ms
(cbrt (/ (+ x y) x))
117.0ms
(cbrt (/ (+ x y) x))
118.0ms
(cbrt (/ (+ x y) x))

simplify302.0ms

Algorithm
egg-herbie
Counts
1375 → 1375
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0353028007
1500126683

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) x)
0.1b
(pow (/ (+ x y) x) 3)
0.4b
(/ 1 (pow (/ (+ x y) x) 3))
12.4b
(cbrt (/ 1 (pow (/ (+ x y) x) 3)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
432×times-frac
331×*-un-lft-identity
227×add-sqr-sqrt add-cube-cbrt
128×unpow-prod-down cube-prod
119×cbrt-prod
52×distribute-lft-out
41×associate-/r*
25×add-exp-log
19×div-inv
13×div-exp
11×add-cbrt-cube
8×cube-mult unpow3 pow-exp sqr-pow
7×associate-/l*
5×pow1
4×expm1-log1p-u pow-to-exp rec-exp 1-exp log1p-expm1-u add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×frac-2neg clear-num associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-div pow-flip pow-pow flip3-+ pow1/3 flip-+ inv-pow
Counts
4 → 402
Calls
4 calls:
8.0ms
(/ (+ x y) x)
8.0ms
(pow (/ (+ x y) x) 3)
20.0ms
(/ 1 (pow (/ (+ x y) x) 3))
19.0ms
(cbrt (/ 1 (pow (/ (+ x y) x) 3)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ x y) x)
38.0ms
(pow (/ (+ x y) x) 3)
86.0ms
(/ 1 (pow (/ (+ x y) x) 3))
41.0ms
(cbrt (/ 1 (pow (/ (+ x y) x) 3)))

simplify113.0ms

Algorithm
egg-herbie
Counts
414 → 414
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06763872
136702890
250032755

prune355.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152

end0.0ms

sample252.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid