Details

Time bar (total: 3.6s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
5.0b
(- (* x x) (* (* y 4.0) y))
28.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite50.0ms

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 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×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:
11.0ms
(+ (* x x) (* (* y 4.0) y))
9.0ms
(- (* x x) (* (* y 4.0) y))
29.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x x) (* (* y 4.0) y))
42.0ms
(- (* x x) (* (* y 4.0) y))
54.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0234680
11007622
25001620

prune331.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
5.0b
(- (* x x) (* (* y 4.0) y))
28.3b
(/ (pow (- (* x x) (* (* y 4.0) y)) 1) (+ (* x x) (* (* y 4.0) y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
21×times-frac
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
8×add-exp-log
7×associate-/l* add-log-exp
5×add-cbrt-cube
4×sqr-pow
3×pow1 div-exp associate-/r*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num sum-log flip-- div-inv
Counts
3 → 70
Calls
3 calls:
9.0ms
(+ (* x x) (* (* y 4.0) y))
9.0ms
(- (* x x) (* (* y 4.0) y))
38.0ms
(/ (pow (- (* x x) (* (* y 4.0) y)) 1) (+ (* x x) (* (* y 4.0) y)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
38.0ms
(- (* x x) (* (* y 4.0) y))
59.0ms
(/ (pow (- (* x x) (* (* y 4.0) y)) 1) (+ (* x x) (* (* y 4.0) y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0262988
11088906
25002904

prune335.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

27.1b
(sqrt (+ (* x x) (* (* y 4.0) y)))
27.1b
(sqrt (+ (* x x) (* (* y 4.0) y)))
28.0b
(cbrt (pow (- (* x x) (* (* y 4.0) y)) 1))
28.0b
(cbrt (- (* x x) (* (* y 4.0) y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity
6×pow1 sqrt-prod
4×add-exp-log sqrt-div add-cbrt-cube add-log-exp
3×unpow-prod-down
2×rem-sqrt-square cbrt-div sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-+
1×flip3-- flip-- sqr-pow
Counts
4 → 58
Calls
4 calls:
8.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
11.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
10.0ms
(cbrt (pow (- (* x x) (* (* y 4.0) y)) 1))
7.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
54.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
115.0ms
(cbrt (pow (- (* x x) (* (* y 4.0) y)) 1))
115.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0212565
1645533
22265529
35002526

prune902.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes181.0ms

Accuracy

57.1% (13.3b remaining)

Error of 13.7b against oracle of 0.4b and baseline of 31.4b

bsearch313.0ms

Steps
ItersRangePoint
10
3.056818534164292e+125
2.6109006387403054e+143
4.112889704881444e+133
8
2.7734301821360193e+115
1.787425999150024e+119
2.8222969601602164e+115
8
2.1818278795648462e+74
1.5862851066486083e+77
1.5649349068796514e+77
7
1.0238126247790814e-196
5.892176714669746e-195
5.8144892593453806e-195
9
-3.265936169733964e-77
-7.875760519242414e-83
-2.0618088665866244e-82
5
-1.6975069546273848e+67
-4.513417988214574e+66
-8.554987372747363e+66

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03530
13530

end0.0ms

sample497.0ms

Algorithm
intervals
Results
367.0ms8000×body80valid