Details

Time bar (total: 3.0s)

analyze379.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms49×body80invalid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.7b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z z) (+ z 1.0))
26.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380385
12326297
25001297

prune81.0ms

Filtered
33 candidates to 57 candidates (-72.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New471057
Fresh000
Picked101
Done000
Total481058

Merged error: 7.6b

Counts
58 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (* x y) (* z z)) (+ z 1.0))
13.6b
(/ (* x y) (* z z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
26×times-frac
25×*-un-lft-identity
13×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp
8×prod-exp cbrt-unprod
7×div-inv
6×distribute-lft-out associate-/l*
5×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 73
Calls
2 calls:
10.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
6.0ms
(/ (* x y) (* z z))

series23.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
9.0ms
(/ (* x y) (* z z))

simplify58.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0410606
12148518
25002518

prune87.0ms

Filtered
47 candidates to 79 candidates (-68.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New75479
Fresh729
Picked011
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ y z) (+ z 1.0))
3.3b
(* (/ x z) (/ (/ y z) (+ z 1.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
154×*-un-lft-identity
121×add-sqr-sqrt
100×add-cube-cbrt
58×associate-*r*
28×add-exp-log add-cbrt-cube
27×distribute-lft-out
13×associate-*l* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 187
Calls
2 calls:
8.0ms
(/ (/ y z) (+ z 1.0))
29.0ms
(* (/ x z) (/ (/ y z) (+ z 1.0)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (/ y z) (+ z 1.0))
13.0ms
(* (/ x z) (/ (/ y z) (+ z 1.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09131511
145131403
250021403

prune211.0ms

Filtered
134 candidates to 193 candidates (-44.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1885193
Fresh235
Picked101
Done011
Total1919200

Merged error: 0b

Counts
200 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ y z) (+ z 1.0))
0.1b
(/ (* x (/ (/ y z) (+ z 1.0))) z)
4.2b
(* x (/ (/ y z) (+ z 1.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
191×times-frac
151×*-un-lft-identity
106×add-sqr-sqrt
97×add-cube-cbrt
58×associate-*r*
31×add-exp-log add-cbrt-cube
27×distribute-lft-out
14×associate-/l*
13×cbrt-undiv div-exp
12×div-inv
7×associate-/r*
6×prod-exp cbrt-unprod
5×pow1
4×associate-/r/
3×associate-*l* add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l/
1×pow-prod-down *-commutative
Counts
3 → 192
Calls
3 calls:
8.0ms
(/ (/ y z) (+ z 1.0))
12.0ms
(/ (* x (/ (/ y z) (+ z 1.0))) z)
18.0ms
(* x (/ (/ y z) (+ z 1.0)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (/ y z) (+ z 1.0))
19.0ms
(/ (* x (/ (/ y z) (+ z 1.0))) z)
13.0ms
(* x (/ (/ y z) (+ z 1.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08061471
141221347
250011347

prune177.0ms

Filtered
138 candidates to 201 candidates (-45.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2010201
Fresh077
Picked011
Done011
Total2019210

Merged error: 0b

Counts
210 → 9

regimes415.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze375.0ms

Algorithm
search

sample516.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
58.0ms1570×body80invalid

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