Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms255×body80valid
0.0ms1×body640valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

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: 6.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune104.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 5.4b

Counts
54 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series153.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05882041
126341860
250031696

prune200.0ms

Filtered
201 candidates to 85 candidates (42.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2001201
Fresh145
Picked011
Done011
Total2017208

Merged error: 5.4b

Counts
208 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
6.9b
(/ (+ x y) (- 1.0 (/ y z)))
6.9b
(/ (+ x y) (- 1.0 (/ y z)))
6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
9.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
17.0ms
(/ (+ x y) (- 1.0 (/ y z)))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
348.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
47.0ms
(/ (+ x y) (- 1.0 (/ y z)))
54.0ms
(/ (+ x y) (- 1.0 (/ y z)))
75.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
03761772
110751707
241741703
350021694

prune489.0ms

Filtered
201 candidates to 135 candidates (67.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2010201
Fresh044
Picked011
Done022
Total2017208

Merged error: 5.4b

Counts
208 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (+ x y) (- (sqrt 1.0) (sqrt (/ y z)))))
0.1b
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
11.0b
(sqrt (/ y z))
11.0b
(sqrt (/ y z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
121×*-un-lft-identity
109×times-frac
76×sqrt-prod
53×add-cube-cbrt
50×associate-*r*
30×add-exp-log
25×distribute-lft-out
24×difference-of-squares
21×associate-*l*
18×add-cbrt-cube
10×div-exp
9×pow1
8×prod-exp distribute-lft-out--
6×associate-/r/ unswap-sqr
5×cbrt-undiv associate-/r* div-inv
4×rem-sqrt-square cbrt-unprod add-log-exp
3×rec-exp 1-exp associate-/l*
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+
1×frac-times flip3-- pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-- inv-pow
Counts
4 → 192
Calls
4 calls:
46.0ms
(* (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (+ x y) (- (sqrt 1.0) (sqrt (/ y z)))))
11.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
3.0ms
(sqrt (/ y z))
3.0ms
(sqrt (/ y z))

series931.0ms

Counts
4 → 12
Calls
4 calls:
600.0ms
(* (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (+ x y) (- (sqrt 1.0) (sqrt (/ y z)))))
238.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
48.0ms
(sqrt (/ y z))
43.0ms
(sqrt (/ y z))

simplify87.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06982196
136691882
250011728

prune357.0ms

Filtered
204 candidates to 119 candidates (58.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2040204
Fresh033
Picked011
Done033
Total2047211

Merged error: 5.4b

Counts
211 → 7

regimes135.0ms

Accuracy

70.8% (0.6b remaining)

Error of 6.4b against oracle of 5.8b and baseline of 7.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample412.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid

Profiling

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