Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(+ 1.0 (/ (* x y) 2.0))
6.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
10×add-exp-log add-cbrt-cube
associate-/r*
distribute-lft-out add-log-exp
associate-/l*
pow1 cbrt-undiv expm1-log1p-u fma-def div-exp log1p-expm1-u
frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv
+-commutative prod-exp sum-log cbrt-unprod
Counts
3 → 75
Calls
3 calls:
3.0ms
(/ (* x y) 2.0)
4.0ms
(+ 1.0 (/ (* x y) 2.0))
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (* x y) 2.0)
5.0ms
(+ 1.0 (/ (* x y) 2.0))
16.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0331461
11400425
25001416

prune458.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (/ x (/ 2.0 y)))
0.2b
(/ x (/ 2.0 y))
6.2b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
65×*-un-lft-identity
55×add-sqr-sqrt add-cube-cbrt
17×associate-/r*
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
distribute-lft-out add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u fma-def associate-/r/ log1p-expm1-u
frac-2neg flip3-+ clear-num flip-+
+-commutative sum-log
Counts
3 → 124
Calls
3 calls:
17.0ms
(+ 1.0 (/ x (/ 2.0 y)))
5.0ms
(/ x (/ 2.0 y))
31.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ 1.0 (/ x (/ 2.0 y)))
4.0ms
(/ x (/ 2.0 y))
13.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0539827
12391778
25001772

prune830.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
6.2b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
5.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
2.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series23.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
11.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0401918
11841821
25001739

prune482.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite3.0ms

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))
2.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(fma x 0.5 (/ 1.0 y))
10.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify106.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0175270
1658239
23463223
35001222

prune197.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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
0105
1105

end0.0ms

sample516.0ms

Algorithm
intervals
Results
385.0ms7997×body80valid
0.0msbody2560valid
0.0msbody1280valid
0.0msbody160valid