Details

Time bar (total: 4.7s)

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 8.36401%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
8.0ms256×body80valid
2.0ms61×body80invalid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.5b
(/ (* y (- z x)) t)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×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/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
10.0ms
(+ x (/ (* y (- z x)) t))
11.0ms
(/ (* y (- z x)) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune79.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite25.0ms

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 t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series83.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0500954
12500845
25001783

prune112.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh134
Picked011
Done011
Total1157122

Merged error: 0b

Counts
122 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
4.7b
(/ y (/ t (- z x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
17.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ x (/ y (/ t (- z x))))
7.0ms
(/ t (- z x))
12.0ms
(/ y (/ t (- z x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05391150
123681110
250021107

prune129.0ms

Filtered
120 candidates to 160 candidates (-33.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1591160
Fresh224
Picked011
Done022
Total1616167

Merged error: 0b

Counts
167 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
6.5b
(* (/ y t) (- z x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
8.0ms
(* (/ y t) (- z x))

series24.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* (/ y t) (- z x)))
14.0ms
(* (/ y t) (- z x))

simplify35.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0315335
11214299
25002299

prune47.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New63063
Fresh022
Picked011
Done033
Total63669

Merged error: 0b

Counts
69 → 6

regimes394.0ms

Accuracy

12% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample2.0s

Algorithm
intervals
sampling

Space saved by range analysis: 8.36401%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
264.0ms8000×body80valid
53.0ms1776×body80invalid

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