Details

Time bar (total: 4.1s)

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
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)))

simplify49.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune112.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 5.4b

Counts
56 → 7

localize7.0ms

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))

rewrite43.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
16.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series166.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
41.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05972063
126631879
250011714

prune224.0ms

Filtered
205 candidates to 89 candidates (43.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2041205
Fresh145
Picked011
Done011
Total2057212

Merged error: 5.4b

Counts
212 → 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)))

rewrite52.0ms

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 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 197
Calls
4 calls:
10.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
353.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))
58.0ms
(/ (+ x y) (- 1.0 (/ y z)))
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify118.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
03851814
111081749
243591745
350011744

prune506.0ms

Filtered
209 candidates to 144 candidates (68.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2090209
Fresh044
Picked011
Done022
Total2097216

Merged error: 5.4b

Counts
216 → 7

localize16.0ms

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))

rewrite78.0ms

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×expm1-log1p-u rem-sqrt-square cbrt-unprod log1p-expm1-u 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 → 200
Calls
4 calls:
50.0ms
(* (/ 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))

series1.0s

Counts
4 → 12
Calls
4 calls:
656.0ms
(* (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (+ x y) (- (sqrt 1.0) (sqrt (/ y z)))))
244.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
52.0ms
(sqrt (/ y z))
47.0ms
(sqrt (/ y z))

simplify89.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07102252
137331976
250011830

prune427.0ms

Filtered
212 candidates to 127 candidates (59.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2120212
Fresh033
Picked011
Done033
Total2127219

Merged error: 5.4b

Counts
219 → 7

regimes138.0ms

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

sample400.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid

Profiling

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