Details

Time bar (total: 4.5s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.601563%

Guaranteed chance to sample good point: 73.580211%

Results
8.0ms256×body80valid
1.0ms37×body80invalid

simplify113.0ms

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: 15.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.1b
(/ (* 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:
10.0ms
(* (* z z) (+ z 1.0))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
13.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune80.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New48957
Fresh000
Picked101
Done000
Total49958

Merged error: 9.0b

Counts
58 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.1b
(/ 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))
12.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
12.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0523706
12630610
25002610

prune143.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1079116
Fresh718
Picked101
Done000
Total11510125

Merged error: 0.0b

Counts
125 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
20.0ms
(cbrt x)
20.0ms
(cbrt x)
18.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05511001
12705715
25002587

prune98.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh279
Picked101
Done000
Total1019110

Merged error: 0.0b

Counts
110 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.8b
(* (/ x z) (/ y (+ z 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
14.0ms
(* (/ x z) (/ y (+ z 1.0)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
10.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
11.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07821119
14277918
25001910

prune132.0ms

Filtered
96 candidates to 158 candidates (-64.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1562158
Fresh178
Picked011
Done000
Total15710167

Merged error: 0.0b

Counts
167 → 10

regimes195.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.601563%

Guaranteed chance to sample good point: 73.580211%

Results
273.0ms8000×body80valid
32.0ms995×body80invalid

Profiling

Loading profile data...