Details

Time bar (total: 1.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×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: 32.9b

localize5.0ms

Local error

Found 1 expressions with local error:

30.8b
(sqrt (+ (* x x) (* y y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(sqrt (+ (* x x) (* y y)))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(sqrt (+ (* x x) (* y y)))

simplify133.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 5 (130.0ms)

IterNodesCost
089100
121597
250397
3126597
4422797
5500296

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (sqrt (+ (* x x) (* y y))) 3)
30.8b
(sqrt (+ (* x x) (* y y)))
40.2b
(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×add-sqr-sqrt sqrt-prod
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
pow1 sqrt-div
add-exp-log cube-div add-cbrt-cube
pow-unpow pow-pow flip3-+ flip-+ add-log-exp
cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 78
Calls
3 calls:
5.0ms
(pow (sqrt (+ (* x x) (* y y))) 3)
3.0ms
(sqrt (+ (* x x) (* y y)))
5.0ms
(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

series166.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(pow (sqrt (+ (* x x) (* y y))) 3)
36.0ms
(sqrt (+ (* x x) (* y y)))
39.0ms
(cbrt (pow (sqrt (+ (* x x) (* y y))) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0256566
1979544
25002534

prune138.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 8.7b

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

6 alts after pruning (3 fresh and 3 done)

Merged error: 8.7b

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 8.7b

regimes253.0ms

Accuracy

57.3% (10.3b remaining)

Error of 18.0b against oracle of 7.7b and baseline of 31.8b

bsearch88.0ms

Steps
ItersRangePoint
5
7.302805852423036e+125
1.7755571015913085e+126
1.749481499166478e+126
10
-1.7798504911008174e-281
-4.752651433921597e-292
-9.306218889451781e-290
9
-8.983960399464967e-179
-2.006309498428036e-184
-2.0278572522938575e-184
9
-6.606528294779468e+144
-1.6450582212898727e+137
-3.0018675033187654e+143

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample332.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid