Details

Time bar (total: 2.8s)

analyze529.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms9×body80invalid

simplify160.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (159.0ms)

IterNodesCost
0484115
1484115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.7b
(- (* b c) (* a d))
31.2b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 54
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
11.0ms
(- (* b c) (* a d))
170.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify46.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05785976

prune98.0ms

Filtered
49 candidates to 63 candidates (-28.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864

Merged error: 26.6b

Counts
64 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
18.4b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
32.6b
(sqrt (+ (* c c) (* d d)))
32.6b
(sqrt (+ (* c c) (* d d)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
057601553

prune112.0ms

Filtered
77 candidates to 97 candidates (-26.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh336
Picked011
Done011
Total987105

Merged error: 26.6b

Counts
105 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

8.7b
(* d (/ a (sqrt (+ (* c c) (* d d)))))
32.6b
(sqrt (+ (* c c) (* d d)))
32.6b
(sqrt (+ (* c c) (* d d)))
32.6b
(sqrt (+ (* c c) (* d d)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×associate-*r*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×sqrt-prod
9×pow1 add-exp-log add-cbrt-cube
8×sqrt-div
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* unswap-sqr
2×prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
11.0ms
(* d (/ a (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* d (/ a (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify38.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049891084
149891084

prune106.0ms

Filtered
75 candidates to 101 candidates (-34.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done022
Total1017108

Merged error: 26.6b

Counts
108 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

10.2b
(/ a (+ (* c c) (* d d)))
11.0b
(/ b (+ (* c c) (* d d)))
11.4b
(* c (/ b (+ (* c c) (* d d))))
11.6b
(* d (/ a (+ (* c c) (* d d))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×times-frac
36×add-cube-cbrt *-un-lft-identity
30×associate-*r*
18×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
6×associate-*l* associate-/r* associate-/l*
4×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 126
Calls
4 calls:
5.0ms
(/ a (+ (* c c) (* d d)))
5.0ms
(/ b (+ (* c c) (* d d)))
9.0ms
(* c (/ b (+ (* c c) (* d d))))
9.0ms
(* d (/ a (+ (* c c) (* d d))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ a (+ (* c c) (* d d)))
14.0ms
(/ b (+ (* c c) (* d d)))
12.0ms
(* c (/ b (+ (* c c) (* d d))))
13.0ms
(* d (/ a (+ (* c c) (* d d))))

simplify58.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051471682

prune113.0ms

Filtered
104 candidates to 138 candidates (-32.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1371138
Fresh123
Picked101
Done033
Total1396145

Merged error: 26.6b

Counts
145 → 6

regimes356.0ms

Accuracy

0% (1.0b remaining)

Error of 23.4b against oracle of 22.4b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05034
15034

end0.0ms

sample610.0ms

Algorithm
intervals
Results
373.0ms8000×body80valid
23.0ms449×body80invalid

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