Details

Time bar (total: 3.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms264×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: 26.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.3b
(- (* b c) (* a d))
25.5b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite15.0ms

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

series151.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* c c) (* d d))
38.0ms
(- (* b c) (* a d))
85.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0292541
11273493
25002491

prune171.0ms

Filtered
64 candidates to 50 candidates (78.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57764
Fresh000
Picked011
Done000
Total57865

Merged error: 25.3b

Counts
65 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b c) (* a d))
16.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(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))))
6.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
111.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
37.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))

simplify99.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune278.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92698
Fresh426
Picked011
Done011
Total9610106

Merged error: 23.6b

Counts
106 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b c) (* a d))
16.4b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(sqrt (+ (* c c) (* d d)))

rewrite27.0ms

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))
14.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
109.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
38.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0378916
11785831
25001807

prune279.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh077
Picked011
Done022
Total10710117

Merged error: 23.6b

Counts
117 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.3b
(- (* b c) (* a d))
0.3b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
25.4b
(/ (+ (* 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:
4.0ms
(+ (* 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)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* c c) (* d d))
38.0ms
(- (* b c) (* a d))
136.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
54.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify71.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05161825
125451663
250011577

prune274.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1491150
Fresh156
Picked011
Done033
Total15010160

Merged error: 23.6b

Counts
160 → 10

regimes195.0ms

Accuracy

0% (3.0b remaining)

Error of 26.4b against oracle of 23.4b and baseline of 26.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

sample492.0ms

Algorithm
intervals
Results
290.0ms8488×body80valid