Details

Time bar (total: 2.7s)

analyze518.0ms

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

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms19×body80invalid

simplify160.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (158.0ms)

IterNodesCost
0484115
1484115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.2b
(- (* b c) (* a d))
24.8b
(/ (- (* b c) (* a 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
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))
11.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05785976

prune90.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh000
Picked011
Done000
Total57764

Merged error: 20.8b

Counts
64 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
13.8b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
26.6b
(sqrt (+ (* c c) (* d d)))
26.6b
(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 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)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
36.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
057601553

prune110.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh145
Picked011
Done011
Total977104

Merged error: 20.8b

Counts
104 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

8.1b
(* c (/ b (sqrt (+ (* c c) (* d d)))))
26.6b
(sqrt (+ (* c c) (* d d)))
26.6b
(sqrt (+ (* c c) (* d d)))
26.6b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

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
(* c (/ b (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)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* c (/ b (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)))

simplify37.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050401084

prune105.0ms

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: 20.8b

Counts
108 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

12.4b
(* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))
14.2b
(cbrt (- (* b c) (* a d)))
14.2b
(cbrt (- (* b c) (* a d)))
14.2b
(cbrt (- (* b c) (* a d)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times
15×flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 102
Calls
4 calls:
23.0ms
(* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))
3.0ms
(cbrt (- (* b c) (* a d)))
3.0ms
(cbrt (- (* b c) (* a d)))
4.0ms
(cbrt (- (* b c) (* a d)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))
37.0ms
(cbrt (- (* b c) (* a d)))
37.0ms
(cbrt (- (* b c) (* a d)))
40.0ms
(cbrt (- (* b c) (* a d)))

simplify61.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049702743
149702743

prune116.0ms

Filtered
91 candidates to 114 candidates (-25.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh033
Picked011
Done033
Total1147121

Merged error: 20.8b

Counts
121 → 7

regimes371.0ms

Accuracy

0% (1.2b remaining)

Error of 22.6b against oracle of 21.3b and baseline of 22.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05034
15034

end0.0ms

sample587.0ms

Algorithm
intervals
Results
359.0ms8000×body80valid
21.0ms489×body80invalid

Profiling

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