Details

Time bar (total: 2.5s)

sample28.0ms

Algorithm
intervals
Results
12.0ms283×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(- (* b c) (* a d))
27.7b
(/ (- (* 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 → 55
Calls
3 calls:
3.0ms
(+ (* c c) (* d d))
4.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series46.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
13.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25001491

prune111.0ms

Filtered
50 candidates to 64 candidates (-28.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New56864
Fresh000
Picked101
Done000
Total57865

Merged error: 27.5b

Counts
65 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.0b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(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 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
37.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify98.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune128.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh347
Picked011
Done000
Total9412106

Merged error: 25.0b

Counts
106 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

9.4b
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
27×times-frac
10×sqrt-div
9×associate-/r*
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 101
Calls
4 calls:
10.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ (- (* b c) (* a d)) (sqrt (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)))

simplify103.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
03641255
111211192
235201157
350011157

prune141.0ms

Filtered
83 candidates to 113 candidates (-36.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh1910
Picked011
Done011
Total11312125

Merged error: 25.0b

Counts
125 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

23.9b
(/ (- (* b c) (* a d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
31.4b
(cbrt (+ (* c c) (* d d)))
31.4b
(cbrt (+ (* c c) (* d d)))
31.4b
(cbrt (+ (* c c) (* d d)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
13.0ms
(/ (- (* b c) (* a d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
3.0ms
(cbrt (+ (* c c) (* d d)))
3.0ms
(cbrt (+ (* c c) (* d d)))
3.0ms
(cbrt (+ (* c c) (* d d)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (- (* b c) (* a d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
21.0ms
(cbrt (+ (* c c) (* d d)))
21.0ms
(cbrt (+ (* c c) (* d d)))
23.0ms
(cbrt (+ (* c c) (* d d)))

simplify115.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
04251029
11317929
24403896
35002869

prune90.0ms

Filtered
70 candidates to 83 candidates (-18.6%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New80383
Fresh369
Picked011
Done022
Total831295

Merged error: 25.0b

Counts
95 → 12

regimes360.0ms

Accuracy

0% (3.0b remaining)

Error of 25.8b against oracle of 22.7b and baseline of 25.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

sample757.0ms

Algorithm
intervals
Results
367.0ms8492×body80valid

Profiling

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