Details

Time bar (total: 2.8s)

analyze505.0ms

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

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms14×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0497715
1497715

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.3b
(+ (* a c) (* b d))
24.7b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite19.0ms

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
4×flip3-+ flip-+
3×pow1 associate-/r* associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 53
Calls
3 calls:
7.0ms
(+ (* c c) (* d d))
4.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(+ (* a c) (* b d))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify32.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04969951
14969951

prune113.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh000
Picked011
Done000
Total56763

Merged error: 24.3b

Counts
63 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
16.8b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.8b
(sqrt (+ (* c c) (* d d)))
26.8b
(sqrt (+ (* c c) (* d d)))

rewrite25.0ms

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
5×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
11.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
34.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify59.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049561525
149561525

prune148.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New91596
Fresh145
Picked011
Done011
Total9211103

Merged error: 22.4b

Counts
103 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* c a) (* d b))
16.8b
(/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))
26.8b
(sqrt (+ (* c c) (* d d)))
26.8b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

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 add-cbrt-cube associate-/l* add-log-exp
5×flip3-+ flip-+
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ (* c a) (* d b))
9.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* c a) (* d b))
25.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049631540
149631540

prune137.0ms

Filtered
73 candidates to 96 candidates (-31.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh088
Picked011
Done022
Total9611107

Merged error: 22.4b

Counts
107 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.3b
(+ (* a c) (* b d))
0.6b
(/ 1 (+ (* c c) (* d d)))
24.5b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-+ flip-+
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative frac-times rec-exp 1-exp associate-*l/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 97
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
4.0ms
(+ (* a c) (* b d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
14.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(+ (* a c) (* b d))
6.0ms
(/ 1 (+ (* c c) (* d d)))
26.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify64.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049711453
149711453

prune103.0ms

Filtered
70 candidates to 109 candidates (-55.7%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh077
Picked011
Done033
Total10911120

Merged error: 22.4b

Counts
120 → 11

regimes488.0ms

Accuracy

0% (2.6b remaining)

Error of 26.0b against oracle of 23.4b and baseline of 26.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04925
14925

end0.0ms

sample632.0ms

Algorithm
intervals
Results
373.0ms8000×body80valid
25.0ms499×body80invalid

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