Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1227
2247
3247

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 37.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
34.5b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-/r* associate-/l*
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num sum-log
Counts
3 → 65
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
8.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
5.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series47.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
15.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
27.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify166.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
0294707
11224644
24391642
35001640

prune124.0ms

Filtered
74 candidates to 60 candidates (18.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69574
Fresh000
Picked011
Done000
Total69675

Merged error: 15.3b

Counts
75 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.4b
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
34.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite24.0ms

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 unswap-sqr
6×associate-*l*
5×add-exp-log add-cbrt-cube add-log-exp
4×flip3-+ flip-+
3×sqrt-pow1 pow1/2 pow-prod-down
2×frac-times associate-*l/
1×+-commutative rem-sqrt-square sqrt-unprod associate-*r/ prod-exp sum-log *-commutative cbrt-unprod div-inv
Counts
3 → 75
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
13.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series51.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
26.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
20.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify117.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0318858
11226828
24716804
35001796

prune104.0ms

Filtered
84 candidates to 57 candidates (32.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done011
Total84690

Merged error: 15.3b

Counts
90 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.4b
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
34.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
6×associate-/r* associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 sqrt-div
3×flip3-+ flip-+
2×associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 89
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
8.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series55.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
31.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
18.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
02941188
110831124
240691101
350021101

prune113.0ms

Filtered
98 candidates to 61 candidates (37.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New95398
Fresh033
Picked011
Done022
Total959104

Merged error: 15.1b

Counts
104 → 9

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ z (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
(/ z (sqrt 3.0))

series5.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 4 (44.0ms)

IterNodesCost
0103217
1273207
2715197
32013197
45002196

prune47.0ms

Filtered
42 candidates to 26 candidates (38.1%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New38442
Fresh055
Picked011
Done033
Total381351

Merged error: 15.1b

Counts
51 → 13

regimes1.1s

Accuracy

60.8% (7.7b remaining)

Error of 26.2b against oracle of 18.4b and baseline of 38.2b

bsearch36.0ms

Steps
ItersRangePoint
7
1.5273440672522678e+75
3.6880965405596394e+76
3.428826878840558e+76
10
-1.8680505475989193e+144
-3.806510209955615e+134
-2.3917778405232727e+136

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02712
13312
23312

end0.0ms

sample695.0ms

Algorithm
intervals
Results
386.0ms8000×body80valid

Profiling

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