Details

Time bar (total: 2.8s)

sample26.0ms

Algorithm
intervals
Results
11.0ms332×body80valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

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: 15.8b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite20.0ms

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))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
14.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0380385
12326297
25001297

prune96.0ms

Filtered
57 candidates to 33 candidates (42.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New461157
Fresh000
Picked101
Done000
Total471158

Merged error: 9.3b

Counts
58 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
6.0ms
(/ y (+ z 1.0))
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify69.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0523706
12630610
25002610

prune150.0ms

Filtered
116 candidates to 78 candidates (32.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1106116
Fresh7310
Picked011
Done000
Total11710127

Merged error: 0.0b

Counts
127 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
25.0ms
(cbrt x)
23.0ms
(cbrt x)
35.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0532745
12131682
25001644

prune166.0ms

Filtered
111 candidates to 87 candidates (21.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1065111
Fresh268
Picked101
Done011
Total10912121

Merged error: 0.0b

Counts
121 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))
3.7b
(cbrt (/ (cbrt x) z))
3.7b
(cbrt (/ (cbrt x) z))
3.7b
(cbrt (/ (cbrt x) z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
132×cbrt-prod
92×times-frac
89×add-sqr-sqrt
71×*-un-lft-identity
65×add-cube-cbrt
25×associate-*l*
18×associate-*r*
9×add-exp-log
8×unswap-sqr
7×add-cbrt-cube
6×pow1
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3 distribute-lft-out
2×prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv frac-times flip3-+ associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 160
Calls
4 calls:
17.0ms
(* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))
3.0ms
(cbrt (/ (cbrt x) z))
3.0ms
(cbrt (/ (cbrt x) z))
3.0ms
(cbrt (/ (cbrt x) z))

series161.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (cbrt (/ (cbrt x) z)) (/ y (+ z 1.0)))
35.0ms
(cbrt (/ (cbrt x) z))
32.0ms
(cbrt (/ (cbrt x) z))
33.0ms
(cbrt (/ (cbrt x) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05821585
119681503
250021479

prune234.0ms

Filtered
172 candidates to 152 candidates (11.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh01010
Picked011
Done011
Total17212184

Merged error: 0.0b

Counts
184 → 12

regimes523.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample770.0ms

Algorithm
intervals
Results
393.0ms10825×body80valid

Profiling

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