Details

Time bar (total: 1.7s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
074
174

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
29.2b
(sqrt (+ (* x x) (* y y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
2.0ms
(+ (* x x) (* y y))
3.0ms
(sqrt (+ (* x x) (* y y)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* x x) (* y y))
36.0ms
(sqrt (+ (* x x) (* y y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0125177
1530163
21540163
35001162

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.0b

localize2.0ms

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

5 alts after pruning (3 fresh and 2 done)

Merged error: 7.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* x x) (* y y))
6.9b
(+ (* (- (pow y 3)) y) (pow x 4))
29.2b
(sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
39.1b
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×times-frac
24×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×sqrt-prod
add-log-exp difference-of-squares
add-exp-log add-cbrt-cube
pow1
associate-/r* associate-/r/
flip3-- flip-- associate-/l*
rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg sqrt-pow1 pow1/2 sqrt-div diff-log div-exp clear-num sum-log
Counts
4 → 89
Calls
4 calls:
2.0ms
(- (* x x) (* y y))
7.0ms
(+ (* (- (pow y 3)) y) (pow x 4))
18.0ms
(sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
28.0ms
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* x x) (* y y))
45.0ms
(+ (* (- (pow y 3)) y) (pow x 4))
78.0ms
(sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
73.0ms
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03271204
114681045
250011027

prune285.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize1.0ms

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 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes397.0ms

Accuracy

43.5% (17.8b remaining)

Error of 18.1b against oracle of 0.3b and baseline of 31.7b

bsearch154.0ms

Steps
ItersRangePoint
10
2.6216430800597077e+98
2.534820146961544e+109
2.2340209789651782e+109
5
7.737389260971837e-163
3.0942019883315414e-162
1.0688990210562475e-162
8
6.346234709568147e-169
1.9499117117856552e-166
1.7970794289179904e-166
10
3.407675951961869e-206
1.6132912078575002e-194
2.4345784437110915e-199
10
-1.2995814006010966e-299
3.392361220784903e-307
5.899377614408183e-308
8
-2.1657762486138537e-223
-7.658942384601389e-226
-1.7874287404230692e-225
9
-2.4724731267575454e+156
-3.374237180858152e+150
-3.436284107232327e+150

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03511
13511

end0.0ms

sample306.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid