Details

Time bar (total: 2.5s)

sample32.0ms

Algorithm
intervals
Results
13.0ms269×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: 28.7b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* b c) (* a d))
28.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series39.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* b c) (* a d))
29.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify106.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune103.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 27.9b

Counts
51 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
16.8b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(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
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))))
4.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* 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)))

simplify102.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh358
Picked011
Done000
Total9710107

Merged error: 26.2b

Counts
107 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
16.8b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

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))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series60.0ms

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)))

simplify110.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune122.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh088
Picked011
Done011
Total9810108

Merged error: 26.2b

Counts
108 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (* b c) (* a d))
0.7b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
27.6b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
3 → 127
Calls
3 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
9.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

series61.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (* b c) (* a d))
29.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
19.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify62.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04781746
121501597
250021509

prune86.0ms

Filtered
75 candidates to 136 candidates (-81.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh077
Picked011
Done022
Total13610146

Merged error: 26.2b

Counts
146 → 10

regimes482.0ms

Accuracy

29.2% (2.0b remaining)

Error of 25.2b against oracle of 23.2b and baseline of 26.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02125
12125

end0.0ms

sample766.0ms

Algorithm
intervals
Results
397.0ms8518×body80valid

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