Details

Time bar (total: 2.4s)

sample22.0ms

Algorithm
intervals
Results
14.0ms256×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: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 58
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
9.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* x y) 2.0)
61.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306377
11339349
25001342

prune127.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.5b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv
4×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×rec-exp 1-exp associate-/l/
1×pow-flip flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ inv-pow
Counts
3 → 148
Calls
3 calls:
3.0ms
(/ (* x y) 2.0)
12.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series135.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* x y) 2.0)
59.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
54.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05451294
126781161
250011051

prune239.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
3.1b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.1b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
85×times-frac
80×*-un-lft-identity
59×sqrt-prod
50×add-cube-cbrt
28×add-exp-log
27×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
12×distribute-lft-out
10×sqrt-div
9×div-exp
8×pow1 prod-exp
7×associate-/r*
6×associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp hypot-def
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 180
Calls
4 calls:
9.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
57.0ms
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
8.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
8.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
58.0ms
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
94.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
99.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06832270
132451990
250011849

prune400.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b 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

sample581.0ms

Algorithm
intervals
Results
446.0ms7999×body80valid
0.0ms1×body640valid