Details

Time bar (total: 2.3s)

sample23.0ms

Algorithm
intervals
Results
7.0ms255×body80valid
0.0ms1×body640valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite18.0ms

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)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220502
1647479
21838479
35001479

prune99.0ms

Filtered
71 candidates to 47 candidates (33.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64771
Fresh000
Picked011
Done000
Total64872

Merged error: 5.0b

Counts
72 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
6.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite35.0ms

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)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (- 1.0 (/ y z)))
10.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0360742
11650661
25002611

prune121.0ms

Filtered
121 candidates to 68 candidates (43.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh156
Picked011
Done011
Total1218129

Merged error: 5.0b

Counts
129 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite44.0ms

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)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06122119
127201933
250011769

prune158.0ms

Filtered
219 candidates to 96 candidates (56.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2163219
Fresh235
Picked011
Done022
Total2189227

Merged error: 5.0b

Counts
227 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
0.1b
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
4.1b
(sqrt (- 1.0 (/ y z)))
4.1b
(sqrt (- 1.0 (/ y z)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
864×times-frac
744×add-sqr-sqrt
672×*-un-lft-identity
540×sqrt-prod
292×add-cube-cbrt
180×difference-of-squares
100×distribute-lft-out
90×distribute-lft-out--
46×associate-/l*
28×sqrt-div
24×associate-/r/
18×associate-/r*
14×flip3-- flip--
12×div-inv
11×add-exp-log add-cbrt-cube
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-+ flip-+
Counts
4 → 547
Calls
4 calls:
29.0ms
(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
11.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
6.0ms
(sqrt (- 1.0 (/ y z)))
6.0ms
(sqrt (- 1.0 (/ y z)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
12.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
12.0ms
(sqrt (- 1.0 (/ y z)))
12.0ms
(sqrt (- 1.0 (/ y z)))

simplify139.0ms

Algorithm
egg-herbie
Counts
559 → 559
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
011339916
139109070
250019055

prune504.0ms

Filtered
559 candidates to 207 candidates (63.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5590559
Fresh055
Picked011
Done033
Total5599568

Merged error: 5.0b

Counts
568 → 9

regimes280.0ms

Accuracy

58.6% (0.8b remaining)

Error of 6.5b against oracle of 5.8b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03435
13435

end0.0ms

sample481.0ms

Algorithm
intervals
Results
226.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid

Profiling

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