Details

Time bar (total: 3.5s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1409
2789
31349
42009
52339
62399
72399

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)))

rewrite48.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
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:
8.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(- (* x x) (* (* y 4.0) y))
30.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* 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)))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0254719
11175657
25001641

prune589.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
cbrt-div
pow1
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
flip3-- pow1/3 sqrt-prod flip--
sqrt-div
rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 62
Calls
4 calls:
8.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
8.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
6.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (+ (* x x) (* (* y 4.0) y)))
112.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
111.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
112.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0188632
1579594
21994585
35002578

prune981.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

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

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

regimes230.0ms

Accuracy

57.1% (13.3b remaining)

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

bsearch320.0ms

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
03427
13427

end0.0ms

sample552.0ms

Algorithm
intervals
Results
407.0ms8000×body80valid