Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1409
2789
31349
42009
52339
62399
72399

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.6b
(- (* x x) (* (* y 4.0) y))
34.5b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg fma-def frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num sum-log div-inv
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ (* x x) (* (* y 4.0) y))
4.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* x x) (* (* y 4.0) y))
42.0ms
(- (* x x) (* (* y 4.0) y))
65.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0254719
11175657
25001641

prune184.0ms

Filtered
73 candidates to 59 candidates (80.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* (* y 4.0) y))
0.0b
(/ 1 (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
4.6b
(- (* x x) (* (* y 4.0) y))
34.5b
(/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l* add-log-exp
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff fma-udef inv-pow
Counts
4 → 143
Calls
4 calls:
1.0ms
(fma x x (* (* y 4.0) y))
11.0ms
(/ 1 (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
4.0ms
(- (* x x) (* (* y 4.0) y))
5.0ms
(/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma x x (* (* y 4.0) y))
70.0ms
(/ 1 (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
46.0ms
(- (* x x) (* (* y 4.0) y))
68.0ms
(/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04492045
121791867
250011725

prune290.0ms

Filtered
155 candidates to 93 candidates (60.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes172.0ms

Accuracy

56.3% (14.0b remaining)

Error of 14.4b against oracle of 0.4b and baseline of 32.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03947
13947

end0.0ms

sample355.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid