Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.5b

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))
26.0b
(/ (- (* 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:
4.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* c c) (* d d))
42.0ms
(- (* b c) (* a d))
89.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292541
11273493
25001491

prune182.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New541064
Fresh000
Picked101
Done000
Total551065

Merged error: 25.6b

Counts
65 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
17.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.3b
(sqrt (+ (* c c) (* d d)))
29.3b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

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)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
119.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify97.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune248.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh369
Picked101
Done000
Total9711108

Merged error: 23.1b

Counts
108 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b c) (* a d))
17.9b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
29.3b
(sqrt (+ (* c c) (* d d)))
29.3b
(sqrt (+ (* c c) (* d d)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
18.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* b c) (* a d))
112.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
40.0ms
(sqrt (+ (* c c) (* d d)))
37.0ms
(sqrt (+ (* c c) (* d d)))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0378918
11807831
25001807

prune253.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh01010
Picked011
Done000
Total10711118

Merged error: 23.1b

Counts
118 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.2b
(- (* b c) (* a d))
0.5b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
25.7b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×div-exp add-log-exp
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
3.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
8.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* c c) (* d d))
43.0ms
(- (* b c) (* a d))
141.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
50.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify66.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05161823
125451661
250011575

prune218.0ms

Filtered
150 candidates to 84 candidates (56.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1500150
Fresh099
Picked011
Done011
Total15011161

Merged error: 23.1b

Counts
161 → 11

regimes162.0ms

Accuracy

0% (3.1b remaining)

Error of 26.2b against oracle of 23.0b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample542.0ms

Algorithm
intervals
Results
341.0ms8449×body80valid

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