Details

Time bar (total: 2.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
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:
10.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify153.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
0214293
1824273
24306265
35001264

prune217.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
9.2b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite36.0ms

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
add-cbrt-cube
distribute-lft-out
pow1
div-exp prod-exp associate-/r* associate-/r/
associate-*l* associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp flip3-+ 1-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 82
Calls
2 calls:
9.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
24.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series118.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
66.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0364630
11713554
25001501

prune160.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
10.1b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite34.0ms

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
add-cbrt-cube
div-exp
associate-/l*
div-inv
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
13.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
15.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series122.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
58.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04521205
121191085
25001966

prune197.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x 0.5 (/ 1.0 y))
0.1b
(/ 1 (fma x 0.5 (/ 1.0 y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log
add-cbrt-cube
pow1 associate-/r* associate-/l*
expm1-log1p-u div-exp log1p-expm1-u add-log-exp
cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num fma-udef div-inv inv-pow
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma x 0.5 (/ 1.0 y))
3.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(fma x 0.5 (/ 1.0 y))
56.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify113.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0175270
1658239
23463223
35001222

prune92.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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
0115
1115

end0.0ms

sample359.0ms

Algorithm
intervals
Results
230.0ms7999×body80valid
0.0msbody2560valid