Details

Time bar (total: 10.6s)

sample4.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.601563%

Guaranteed chance to sample good point: 80.547424%

Results
8.0ms256×body80valid
1.0ms26×body80invalid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
16.5b
(/ (* 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))
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)))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune73.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New51657
Fresh000
Picked011
Done000
Total51758

Merged error: 10.1b

Counts
58 → 7

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)))
8.7b
(/ x (* z z))

rewrite29.0ms

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)))
7.0ms
(/ 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))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0523706
12630610
25002610

prune149.0ms

Filtered
77 candidates to 116 candidates (-50.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1097116
Fresh325
Picked101
Done011
Total11310123

Merged error: 0.0b

Counts
123 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (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))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)
20.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05511001
12705715
25002587

prune119.0ms

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

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New955100
Fresh178
Picked011
Done011
Total9614110

Merged error: 0.0b

Counts
110 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log cbrt-prod
40×associate-*l*
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-cbrt-cube
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×pow1
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
18.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
22.0ms
(cbrt z)
22.0ms
(cbrt z)
52.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06311188
126481020
25002979

prune129.0ms

Filtered
94 candidates to 123 candidates (-30.9%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh01111
Picked011
Done022
Total12314137

Merged error: 0.0b

Counts
137 → 14

regimes577.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample4.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.601563%

Guaranteed chance to sample good point: 80.547424%

Results
280.0ms8000×body80valid
33.0ms996×body80invalid

Profiling

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