Details

Time bar (total: 2.5s)

sample32.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.6b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* b c) (* a d))
25.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite19.0ms

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:
4.0ms
(- (* b c) (* a d))
14.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify108.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune92.0ms

Filtered
50 candidates to 39 candidates (22.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New43750
Fresh000
Picked011
Done000
Total43851

Merged error: 24.9b

Counts
51 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* b c) (* a d))
15.8b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(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))))
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)))

simplify107.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune138.0ms

Filtered
98 candidates to 75 candidates (23.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh246
Picked101
Done101
Total9511106

Merged error: 22.1b

Counts
106 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* b c) (* a d))
15.9b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(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
3×flip3-+ associate-/r* flip-+
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
24.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
8.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify83.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0264887
1808842
22343837
35001837

prune125.0ms

Filtered
97 candidates to 74 candidates (23.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01010
Picked011
Done000
Total9711108

Merged error: 22.1b

Counts
108 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

8.3b
(* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))
29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(sqrt (+ (* c c) (* d d)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
137×add-sqr-sqrt
108×sqrt-prod
99×times-frac
57×*-un-lft-identity
45×add-cube-cbrt
33×associate-*r* associate-*l*
28×unswap-sqr
26×add-exp-log
16×add-cbrt-cube
14×sqrt-div
9×pow1
8×div-exp prod-exp
5×flip3-+ flip-+
4×cbrt-undiv associate-/r/ cbrt-unprod add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 163
Calls
4 calls:
38.0ms
(* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (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)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* 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)))

simplify77.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05683021
125702733
250012579

prune130.0ms

Filtered
175 candidates to 103 candidates (41.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh099
Picked011
Done011
Total17511186

Merged error: 22.1b

Counts
186 → 11

regimes486.0ms

Accuracy

38.5% (1.8b remaining)

Error of 25.0b against oracle of 23.2b and baseline of 26.1b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03534
13734
23734

end0.0ms

sample728.0ms

Algorithm
intervals
Results
388.0ms8453×body80valid

Profiling

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