Details

Time bar (total: 5.2s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.601563%

Guaranteed chance to sample good point: 73.580211%

Results
9.0ms256×body80valid
1.0ms25×body80invalid

simplify123.0ms

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: 13.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.5b
(/ (* 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
pow1
cbrt-undiv div-exp
*-un-lft-identity
add-sqr-sqrt associate-*r/ associate-*r*
add-cube-cbrt pow-prod-down
flip3-+ associate-/r/ flip-+ add-log-exp
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:
8.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z z) (+ z 1.0))
15.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune90.0ms

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: 7.0b

Counts
58 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.6b
(/ 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
prod-exp cbrt-unprod
associate-*l* distribute-lft-out
associate-/l*
pow1 associate-/r*
associate-/r/ div-inv unswap-sqr
add-log-exp
frac-2neg flip3-+ clear-num flip-+
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))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0523706
12630610
25002610

prune155.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1097116
Fresh459
Picked101
Done000
Total11412126

Merged error: 0.0b

Counts
126 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
57×add-cbrt-cube
33×prod-exp cbrt-unprod
24×add-sqr-sqrt
22×cbrt-undiv cbrt-prod div-exp
16×pow1 add-cube-cbrt *-un-lft-identity
13×associate-*l*
pow1/3
associate-*r*
swap-sqr
frac-times associate-*r/ pow-prod-down
add-log-exp unswap-sqr
times-frac associate-*l/
pow-sqr *-commutative pow-prod-up
pow2 pow-plus div-inv
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (cbrt x))
16.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
25.0ms
(cbrt x)
25.0ms
(* (cbrt x) (cbrt x))
18.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify87.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06261146
13224849
25001718

prune133.0ms

Filtered
71 candidates to 129 candidates (-81.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1245129
Fresh7411
Picked101
Done000
Total1329141

Merged error: 0.0b

Counts
141 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
78×add-cbrt-cube
52×prod-exp cbrt-unprod
31×cbrt-undiv div-exp
26×cbrt-prod
24×add-sqr-sqrt
16×pow1 add-cube-cbrt *-un-lft-identity
13×associate-*l*
pow1/3
associate-*r*
swap-sqr
frac-times associate-*r/ pow-prod-down
add-log-exp unswap-sqr
times-frac associate-*l/
pow-sqr *-commutative pow-prod-up
pow2 pow-plus div-inv
Counts
4 → 128
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
18.0ms
(* (/ (* (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
30.0ms
(cbrt (cbrt x))
39.0ms
(cbrt (* (cbrt x) (cbrt x)))
18.0ms
(* (/ (* (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify117.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07801927
141731404
250011272

prune110.0ms

Filtered
70 candidates to 140 candidates (-100.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh088
Picked011
Done000
Total13910149

Merged error: 0.0b

Counts
149 → 10

regimes291.0ms

Accuracy

0% (1.1b remaining)

Error of 1.5b against oracle of 0.3b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02116
12116

end0.0ms

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.601563%

Guaranteed chance to sample good point: 73.580211%

Results
283.0ms8000×body80valid
33.0ms973×body80invalid

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