Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
12.0ms357×body80valid

simplify126.0ms

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: 14.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

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))
10.0ms
(/ (* 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)))

simplify62.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune79.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 9.2b

Counts
58 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.3b
(/ x (* z z))

rewrite27.0ms

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:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune149.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1088116
Fresh325
Picked101
Done000
Total11210122

Merged error: 0.0b

Counts
122 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

rewrite23.0ms

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)
16.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)
34.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532745
12131682
25001644

prune162.0ms

Filtered
87 candidates to 111 candidates (-27.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1083111
Fresh099
Picked011
Done000
Total10813121

Merged error: 0.0b

Counts
121 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
21.0b
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))
21.0b
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))
21.0b
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
31×*-un-lft-identity
25×add-cube-cbrt
22×associate-*l*
18×associate-*r*
16×add-exp-log
14×cbrt-prod add-cbrt-cube
9×cbrt-div
6×pow1 unswap-sqr
4×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 102
Calls
4 calls:
16.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
8.0ms
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))
10.0ms
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))
8.0ms
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
54.0ms
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))
52.0ms
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))
55.0ms
(cbrt (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06891369
126461228
250021221

prune307.0ms

Filtered
97 candidates to 114 candidates (-17.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh01111
Picked011
Done011
Total11413127

Merged error: 0.0b

Counts
127 → 13

regimes443.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample719.0ms

Algorithm
intervals
Results
362.0ms10917×body80valid

Profiling

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