Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 7.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(- 1.0 (/ y z))
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220502
1647479
21838479
35001479

prune121.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64771
Fresh000
Picked011
Done000
Total64872

Merged error: 5.2b

Counts
72 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.6b
(/ 1 (- 1.0 (/ y z)))
6.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
18.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series107.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
44.0ms
(/ 1 (- 1.0 (/ y z)))
47.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0360742
11650661
25002611

prune155.0ms

Filtered
121 candidates to 69 candidates (57.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh066
Picked011
Done011
Total1218129

Merged error: 5.2b

Counts
129 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series172.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
118.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06122119
127201933
250011769

prune219.0ms

Filtered
219 candidates to 97 candidates (44.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2181219
Fresh145
Picked011
Done022
Total2198227

Merged error: 5.2b

Counts
227 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
7.4b
(/ (+ x y) (- 1.0 (/ y z)))
7.4b
(/ (+ x y) (- 1.0 (/ y z)))
7.4b
(/ (+ 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 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))))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
47.0ms
(/ (+ x y) (- 1.0 (/ y z)))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
03761772
110751707
241741703
350021694

prune439.0ms

Filtered
201 candidates to 135 candidates (67.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh044
Picked011
Done033
Total2018209

Merged error: 5.2b

Counts
209 → 8

regimes147.0ms

Accuracy

45.1% (1.2b remaining)

Error of 6.7b against oracle of 5.5b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample394.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid

Profiling

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