Details

Time bar (total: 1.9s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ x (+ x y))

simplify76.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.4b
(/ 1 (/ (+ x y) x))

rewrite21.0ms

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:
5.0ms
(/ (+ x y) x)
10.0ms
(/ 1 (/ (+ x y) x))

series58.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ x y) x)
37.0ms
(/ 1 (/ (+ x y) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0352814
11552715
25001625

prune150.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.1b
(cbrt (/ x (+ x y)))
8.1b
(cbrt (/ x (+ x y)))
8.1b
(cbrt (/ x (+ x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
22.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
125.0ms
(cbrt (/ x (+ x y)))
122.0ms
(cbrt (/ x (+ x y)))
124.0ms
(cbrt (/ x (+ x y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02691752
18671700
231771620
350021615

prune438.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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

sample256.0ms

Algorithm
intervals
Results
127.0ms8000×body80valid