Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×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

localize4.0ms

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))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp flip3-+ 1-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 82
Calls
2 calls:
5.0ms
(/ 1 (+ x y))
15.0ms
(* x (/ 1 (+ x y)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ 1 (+ x y))
40.0ms
(* x (/ 1 (+ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0231360
11017310
23519272
35001272

prune105.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.8b
(cbrt (/ x (+ x y)))
5.8b
(cbrt (/ x (+ x y)))
5.8b
(cbrt (/ x (+ x y)))

rewrite56.0ms

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:
34.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.0ms
(cbrt (/ x (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
128.0ms
(cbrt (/ x (+ x y)))
122.0ms
(cbrt (/ x (+ x y)))
125.0ms
(cbrt (/ x (+ x y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02691752
18671700
231771620
350021615

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (/ (sqrt x) 1))
1.5b
(cbrt (/ (sqrt x) (+ x y)))
5.8b
(cbrt (/ x (+ x y)))
5.8b
(cbrt (/ x (+ x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
88×cbrt-prod
72×*-un-lft-identity
66×times-frac
48×add-sqr-sqrt add-cube-cbrt
21×sqrt-prod
12×distribute-lft-out
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
3×flip3-+ flip-+
Counts
4 → 132
Calls
4 calls:
2.0ms
(cbrt (/ (sqrt x) 1))
4.0ms
(cbrt (/ (sqrt x) (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (/ (sqrt x) 1))
233.0ms
(cbrt (/ (sqrt x) (+ x y)))
127.0ms
(cbrt (/ x (+ x y)))
131.0ms
(cbrt (/ x (+ x y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04381124
112401090
250011053

prune415.0ms

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

sample436.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid