Details

Time bar (total: 3.0s)

analyze15.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
93.6%6.2%0.1%8
96.7%3.1%0.1%9
98.3%1.6%0.1%10
99.1%0.8%0.1%11
99.5%0.4%0.1%12
99.7%0.2%0.1%13
99.8%0.1%0.1%14

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1227
2247
3247

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
4.0ms
(+ (* x x) (* y y))
9.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
9.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* y y))
13.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
26.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify122.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0294707
11224644
24391642
35001640

prune145.0ms

Filtered
60 candidates to 74 candidates (-23.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69574
Fresh000
Picked011
Done000
Total69675

Merged error: 18.9b

Counts
75 → 6

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.3b
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
36.2b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite33.0ms

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:
5.0ms
(+ (* x x) (* y y))
16.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
9.0ms
(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)))

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02941188
110831124
240691101
350021101

prune137.0ms

Filtered
61 candidates to 98 candidates (-60.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh044
Picked011
Done011
Total959104

Merged error: 18.8b

Counts
104 → 9

localize13.0ms

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)))
36.2b
(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 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:
4.0ms
(+ (* x x) (* y y))
16.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
6.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series62.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* y y))
33.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
23.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify128.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0318858
11226828
24716804
35001796

prune133.0ms

Filtered
57 candidates to 84 candidates (-47.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh066
Picked011
Done022
Total84993

Merged error: 18.8b

Counts
93 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -1 x) (sqrt 3.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log times-frac associate-/r* sqrt-prod add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp
1×pow1 frac-2neg mul-1-neg distribute-frac-neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
6.0ms
(/ (* -1 x) (sqrt 3.0))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* -1 x) (sqrt 3.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0132140
1693121
24212121
35001121

prune42.0ms

Filtered
19 candidates to 31 candidates (-63.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New24731
Fresh055
Picked101
Done123
Total261440

Merged error: 18.8b

Counts
40 → 14

regimes1.1s

Accuracy

61.5% (7.6b remaining)

Error of 26.2b against oracle of 18.6b and baseline of 38.3b

bsearch89.0ms

Steps
ItersRangePoint
10
2.601654430689024e+36
8.011919094742324e+54
7.828289797932414e+54
8
-2.1604032629525147e+120
-2.1210850526837024e+117
-5.1170635808213755e+119

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
13513
23513

end0.0ms

analyze25.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
93.6%6.2%0.1%8
96.7%3.1%0.1%9
98.3%1.6%0.1%10
99.1%0.8%0.1%11
99.5%0.4%0.1%12
99.7%0.2%0.1%13
99.8%0.1%0.1%14

sample580.0ms

Algorithm
intervals
Results
405.0ms8000×body80valid

Profiling

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