Details

Time bar (total: 7.0s)

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 9.301758%

Guaranteed chance to sample good point: 48.354643%

Results
9.0ms256×body80valid
3.0ms90×body80invalid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.2b
(/ (* y (- z t)) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
7.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0231226
11033189
25002189

prune82.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.7b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
24.0ms
(cbrt a)
22.0ms
(cbrt a)
17.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify73.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0500954
12500845
25001783

prune123.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh246
Picked011
Done011
Total1168124

Merged error: 0b

Counts
124 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.7b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
25×prod-exp cbrt-unprod
17×cbrt-undiv add-sqr-sqrt div-exp
13×*-un-lft-identity
11×add-cube-cbrt
9×cbrt-prod times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
23.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
24.0ms
(cbrt a)
22.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04721290
12394869
25001766

prune107.0ms

Filtered
63 candidates to 99 candidates (-57.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh055
Picked011
Done022
Total998107

Merged error: 0b

Counts
107 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.9b
(* (/ y (cbrt a)) (- z t))
5.5b
(/ (* (/ y (cbrt a)) (- z t)) (* (cbrt a) (cbrt a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-sqr-sqrt
22×*-un-lft-identity associate-*l*
21×times-frac add-cbrt-cube
20×add-cube-cbrt
16×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1
5×associate-*r* associate-/l/
4×frac-times flip3-- associate-*r/ flip-- add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3 associate-*l/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
10.0ms
(* (/ y (cbrt a)) (- z t))
12.0ms
(/ (* (/ y (cbrt a)) (- z t)) (* (cbrt a) (cbrt a)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
43.0ms
(* (/ y (cbrt a)) (- z t))
18.0ms
(/ (* (/ y (cbrt a)) (- z t)) (* (cbrt a) (cbrt a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0515805
12157684
25001622

prune98.0ms

Filtered
83 candidates to 116 candidates (-39.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done033
Total1168124

Merged error: 0b

Counts
124 → 8

regimes923.0ms

Accuracy

86.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample2.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 9.301758%

Guaranteed chance to sample good point: 48.354643%

Results
296.0ms8000×body80valid
93.0ms2626×body80invalid

Profiling

Loading profile data...