Details

Time bar (total: 4.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
59×add-sqr-sqrt
54×add-cube-cbrt prod-diff
49×times-frac
13×distribute-lft-out
8×associate-/r/
4×add-exp-log flip3-+ associate-/r* add-cbrt-cube flip-+ div-inv add-log-exp
3×fma-neg associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out--
Counts
2 → 109
Calls
2 calls:
21.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
65.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05742548
120671795
250011637

prune166.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.6b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
366×times-frac
329×*-un-lft-identity
252×add-sqr-sqrt
238×add-cube-cbrt
159×prod-diff
43×distribute-lft-out
19×associate-/r* div-inv
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv associate-/r/
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log flip-- flip-+ inv-pow
Counts
3 → 308
Calls
3 calls:
36.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
13.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
13.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series146.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
63.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify93.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013509058
150026271

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.9b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.9b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.9b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 133
Calls
4 calls:
107.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series843.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
260.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
260.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
257.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07342309
133462029
250011836

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
6.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))
6.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt times-frac
8×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
6×cbrt-prod associate-/l*
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg flip3-+ pow1/3 div-exp clear-num flip-+ div-inv
Counts
4 → 96
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt x)
179.0ms
(cbrt x)
67.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
68.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify165.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (155.0ms)

IterNodesCost
0250672
1899626
24551604
35001602

prune285.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample324.0ms

Algorithm
intervals
Results
201.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid