Details

Time bar (total: 1.6s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize7.0ms

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)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x x) (* (* y 4.0) y))
39.0ms
(- (* x x) (* (* y 4.0) y))
60.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify34.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0234680
11007622
25001620

prune135.0ms

Filtered
64 candidates to 49 candidates (76.6%)
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

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
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)))

rewrite32.0ms

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
div-exp add-log-exp
flip3-- flip-- div-inv associate-/l*
pow1
cbrt-undiv
rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
9.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
4.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
33.0ms
(+ (* x x) (* (* y 4.0) y))
42.0ms
(- (* x x) (* (* y 4.0) y))
57.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04612225
123262037
250021901

prune220.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes130.0ms

Accuracy

56.5% (13.9b remaining)

Error of 14.3b against oracle of 0.4b and baseline of 32.4b

bsearch183.0ms

Steps
ItersRangePoint
8
6.462058479739115e+143
1.2536041476033265e+148
1.2357417688342856e+148
10
2.344365561586897e+112
1.1656700291171215e+124
2.380893439095653e+112
10
1.1909792143474533e+90
6.015347994502163e+103
5.298658905324018e+103
8
116004030.87070206
265167623413.7357
6177683113.045388
7
3.61678907872288e-114
7.549092973359073e-112
3.6642998062655813e-112
9
3.9913842183246886e-203
1.398781197665554e-194
1.4295350020192611e-198

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03536
13536

end0.0ms

sample360.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid