Details

Time bar (total: 38.2s)

sample17.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 4.736328%

Guaranteed chance to sample good point: 39.197847%

Results
9.0ms256×body80valid
2.0ms59×body80invalid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
14.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune78.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New48755
Fresh000
Picked101
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize11.0ms

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)))

rewrite28.0ms

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)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series85.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0500954
12500845
25001783

prune123.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1151116
Fresh156
Picked101
Done000
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.5b
(* (/ y (cbrt a)) (- z t))
5.1b
(/ (* (/ y (cbrt a)) (- z t)) (* (cbrt a) (cbrt a)))

rewrite29.0ms

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)
11.0ms
(* (/ y (cbrt a)) (- z t))
12.0ms
(/ (* (/ y (cbrt a)) (- z t)) (* (cbrt a) (cbrt a)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
21.0ms
(cbrt a)
41.0ms
(* (/ y (cbrt a)) (- z t))
20.0ms
(/ (* (/ y (cbrt a)) (- z t)) (* (cbrt a) (cbrt a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0515805
12157684
25001622

prune116.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh055
Picked011
Done000
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.3b
(/ y (/ a (- z t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ a (- z t))
13.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04811051
121901013
250021004

prune111.0ms

Filtered
107 candidates to 145 candidates (-35.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh044
Picked011
Done011
Total1447151

Merged error: 0b

Counts
151 → 7

regimes655.0ms

Accuracy

86.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 4.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample18.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 4.736328%

Guaranteed chance to sample good point: 39.197847%

Results
272.0ms8000×body80valid
70.0ms2098×body80invalid

Profiling

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