Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02114
12114

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 38.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
36.2b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
8×add-log-exp
5×add-exp-log add-cbrt-cube
4×pow1
3×associate-/r* sum-log associate-/l*
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative associate-+l+ frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
3 → 67
Calls
3 calls:
6.0ms
(+ (+ (* x x) (* y y)) (* z z))
12.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
6.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series50.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (+ (* x x) (* y y)) (* z z))
13.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
27.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050051330

prune134.0ms

Filtered
62 candidates to 76 candidates (-22.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New71576
Fresh000
Picked101
Done000
Total72577

Merged error: 21.2b

Counts
77 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (+ (* y y) (* z z)))
0.4b
(* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ 1 3.0)))
36.1b
(sqrt (+ (* x x) (+ (* y y) (* z z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×sqrt-prod
16×*-un-lft-identity associate-*r*
14×add-cube-cbrt
13×times-frac
9×sqrt-div
8×pow1 add-log-exp unswap-sqr
6×associate-*l*
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×sqrt-pow1 pow1/2 pow-prod-down sum-log
2×frac-times associate-*l/
1×+-commutative rem-sqrt-square associate-+r+ sqrt-unprod associate-*r/ prod-exp *-commutative cbrt-unprod div-inv
Counts
3 → 77
Calls
3 calls:
6.0ms
(+ (* x x) (+ (* y y) (* z z)))
14.0ms
(* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ 1 3.0)))
6.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

series58.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x x) (+ (* y y) (* z z)))
29.0ms
(* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ 1 3.0)))
19.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049481541
149481541

prune114.0ms

Filtered
58 candidates to 86 candidates (-48.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done000
Total86591

Merged error: 21.2b

Counts
91 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (+ (* y y) (* z z)))
0.4b
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
36.1b
(sqrt (+ (* x x) (+ (* y y) (* z z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
8×add-log-exp
6×associate-/r* associate-/l*
5×add-exp-log add-cbrt-cube
4×pow1 sqrt-div
3×flip3-+ sum-log flip-+
2×associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square associate-+r+ sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
3 → 91
Calls
3 calls:
6.0ms
(+ (* x x) (+ (* y y) (* z z)))
10.0ms
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
6.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

series63.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x x) (+ (* y y) (* z z)))
33.0ms
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
19.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052742042

prune123.0ms

Filtered
61 candidates to 100 candidates (-63.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh033
Picked011
Done011
Total978105

Merged error: 21.0b

Counts
105 → 8

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ x (sqrt 3.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
6×associate-/r*
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
4.0ms
(/ x (sqrt 3.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ x (sqrt 3.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04508322
14508322

prune54.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New33942
Fresh145
Picked101
Done022
Total351550

Merged error: 21.0b

Counts
50 → 15

regimes747.0ms

Accuracy

62.6% (7.2b remaining)

Error of 25.7b against oracle of 18.5b and baseline of 37.7b

bsearch38.0ms

Steps
ItersRangePoint
8
6.00364020859848e+104
4.0399251926621125e+108
3.7492675251181064e+108
9
-1.6977621533807648e+157
-1.9225472777022232e+151
-3.0968830859253667e+151

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04541
14541

end0.0ms

sample630.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid

Profiling

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