Details

Time bar (total: 2.3s)

sample95.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.988511%

Results
12.0ms279×body80valid

simplify11.0ms

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: 23.5b

Counts
2 → 1

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* b c) (* a d))
23.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite14.0ms

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))
9.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (* b c) (* a d))
29.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify110.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune84.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New45550
Fresh000
Picked011
Done000
Total45651

Merged error: 22.8b

Counts
51 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
13.2b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(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)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (* 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)))

simplify105.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune126.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh044
Picked101
Done011
Total959104

Merged error: 21.1b

Counts
104 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

10.8b
(/ (* a d) (sqrt (+ (* c c) (* d d))))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(sqrt (+ (* c c) (* d d)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×sqrt-div
7×pow1
6×times-frac associate-/r*
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-undiv div-exp associate-/r/
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
8.0ms
(/ (* a d) (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)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* a d) (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)))

simplify79.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0200562
1766521
23168514
35001514

prune105.0ms

Filtered
66 candidates to 86 candidates (-30.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh257
Picked101
Done011
Total88795

Merged error: 20.4b

Counts
95 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

7.4b
(/ (* b c) (sqrt (+ (* c c) (* d d))))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(sqrt (+ (* c c) (* d d)))
28.0b
(sqrt (+ (* c c) (* d d)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×sqrt-div
7×pow1
6×times-frac associate-/r*
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-undiv div-exp associate-/r/
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
7.0ms
(/ (* b c) (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)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* b c) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(sqrt (+ (* c c) (* d d)))

simplify79.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0199562
1770521
23194514
35001514

prune86.0ms

Filtered
66 candidates to 86 candidates (-30.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh145
Picked101
Done011
Total87693

Merged error: 20.1b

Counts
93 → 6

regimes370.0ms

Accuracy

0% (0.4b remaining)

Error of 22.2b against oracle of 21.7b and baseline of 22.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
11718

end0.0ms

sample747.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.988511%

Results
385.0ms8438×body80valid

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