Details

Time bar (total: 4.5s)

sample25.0ms

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

prune4.0ms

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: 36.1b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
33.6b
(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)
6.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series288.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* y y))
59.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
195.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0294707
11224644
24391642
35001640

prune489.0ms

Filtered
74 candidates to 60 candidates (18.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New69574
Fresh000
Picked101
Done000
Total70575

Merged error: 18.1b

Counts
75 → 5

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)))
33.5b
(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)))

series341.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* y y))
191.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))
116.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify119.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0318858
11226828
24716804
35001796

prune262.0ms

Filtered
84 candidates to 58 candidates (31.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done000
Total84589

Merged error: 18.1b

Counts
89 → 5

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))
33.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite20.0ms

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)))

series439.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* y y))
272.0ms
(/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
131.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02941188
110831124
240691101
350021101

prune282.0ms

Filtered
98 candidates to 62 candidates (36.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh033
Picked011
Done011
Total958103

Merged error: 18.0b

Counts
103 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
5.0ms
(/ (* -1 x) (sqrt 3.0))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (* -1 x) (sqrt 3.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0132140
1693121
24212121
35001121

prune38.0ms

Filtered
31 candidates to 19 candidates (38.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New26531
Fresh055
Picked101
Done022
Total271239

Merged error: 18.0b

Counts
39 → 12

regimes984.0ms

Accuracy

61.8% (7.5b remaining)

Error of 25.6b against oracle of 18.0b and baseline of 37.8b

bsearch69.0ms

Steps
ItersRangePoint
6
2.5064744741764275e+116
1.2456481691883595e+117
6.699278073733735e+116
6
-5.709815867233507e+147
-4.091974005961926e+146
-1.681568799452577e+147

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample612.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid

Profiling

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