Details

Time bar (total: 2.3s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0136
1206
2226
3226

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.9b

localize8.0ms

Local error

Found 1 expressions with local error:

36.2b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite13.0ms

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:
13.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
090142
1275137
2951137
33615137
45002137

prune56.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
0.5b
(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
36.2b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
36.2b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
54×add-sqr-sqrt
38×sqrt-pow1
32×sqrt-div
31×pow1
20×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
add-exp-log add-cbrt-cube
pow-prod-down pow-sqr
frac-times rem-sqrt-square add-log-exp
associate-*r/ associate-*l/
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
13.0ms
(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
68.0ms
(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
12.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
13.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
100.0ms
(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
95.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))
95.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02511459
110021362
250011331

prune279.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 18.4b

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

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 18.4b

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

5 alts after pruning (1 fresh and 4 done)

Merged error: 18.4b

regimes311.0ms

Accuracy

53.4% (9.4b remaining)

Error of 27.8b against oracle of 18.5b and baseline of 38.6b

bsearch90.0ms

Steps
ItersRangePoint
9
3.3727076181174283e+75
4.3810155938080223e+83
4.189357432179195e+83
6
-1.9118727876566742e+86
-1.4249111467837156e+85
-1.8758942929933885e+86
8
-4.1764951624507323e+173
-2.7926801182986895e+169
-2.8334821491754035e+169

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0247
1247

end0.0ms

sample714.0ms

Algorithm
intervals
Results
527.0ms8000×body80valid