Details

Time bar (total: 1.8s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.7b
(- (* x x) (* (* y 4.0) y))
30.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify180.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0221583
1964535
24800534
35002534

prune86.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New46450
Fresh000
Picked101
Done000
Total47451

Merged error: 0.5b

Counts
51 → 4

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

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.5b

Counts
4 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
3.7b
(- (* x x) (* (* y 4.0) y))
30.8b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
3 → 127
Calls
3 calls:
9.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
3.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04542126
123151948
250011812

prune138.0ms

Filtered
75 candidates to 136 candidates (-81.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done011
Total1364140

Merged error: 0.5b

Counts
140 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
0.0b
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
3.7b
(- (* x x) (* (* y 4.0) y))
30.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp sub-neg cbrt-div pow-pow frac-2neg pow1/3 diff-log div-sub clear-num rem-cbrt-cube
Counts
4 → 140
Calls
4 calls:
10.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
8.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
4.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
14.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
7.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04822261
124192131
250012116

prune171.0ms

Filtered
85 candidates to 152 candidates (-78.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done022
Total1524156

Merged error: 0.5b

Counts
156 → 4

regimes258.0ms

Accuracy

62.1% (12.0b remaining)

Error of 12.5b against oracle of 0.4b and baseline of 32.2b

bsearch26.0ms

Steps
ItersRangePoint
9
1.5290967152073613e+238
1.2203976891440225e+243
8.682399287042464e+240
9
8.701889175571191e-219
3.5850199735324466e-213
1.3303730502329437e-218

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample522.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid

Profiling

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