Details

Time bar (total: 5.3s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.666157%

Results
8.0ms256×body80valid
1.0ms46×body80invalid

simplify104.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
6.9b
(/ (* y (- z x)) t)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0231227
1860204
24195192
35003192

prune67.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 0b

Counts
42 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.5b
(/ 1 (/ t (* y (- z x))))
7.0b
(/ t (* y (- z x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
29×add-exp-log
26×*-un-lft-identity
23×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
14×div-exp
11×associate-/r/
10×associate-*r/ associate-/r*
7×cbrt-undiv div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 prod-exp
3×rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 100
Calls
3 calls:
12.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms
(/ 1 (/ t (* y (- z x))))
6.0ms
(/ t (* y (- z x)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
13.0ms
(/ 1 (/ t (* y (- z x))))
11.0ms
(/ t (* y (- z x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0405716
11828588
25003562

prune92.0ms

Filtered
57 candidates to 109 candidates (-91.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh066
Picked011
Done011
Total1098117

Merged error: 0b

Counts
117 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ x (/ y (/ t (- z x))))
7.9b
(/ y (/ t (- z x)))

rewrite39.0ms

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:
6.0ms
(/ t (- z x))
18.0ms
(+ x (/ y (/ t (- z x))))
9.0ms
(/ y (/ t (- z x)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ t (- z x))
14.0ms
(+ x (/ y (/ t (- z x))))
13.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05391150
123681110
250021107

prune136.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1573160
Fresh415
Picked011
Done112
Total1626168

Merged error: 0b

Counts
168 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
7.2b
(* (/ y t) (- z x))

rewrite17.0ms

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:
7.0ms
(+ x (* (/ y t) (- z x)))
9.0ms
(* (/ y t) (- z x))

series24.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (/ y t) (- z x)))
13.0ms
(* (/ y t) (- z x))

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0315335
11214299
25002299

prune48.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done022
Total63669

Merged error: 0b

Counts
69 → 6

regimes372.0ms

Accuracy

18.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch189.0ms

Steps
ItersRangePoint
9
3.317665534411621e+266
2.3610043645963995e+272
1.410066853991718e+272
9
2.4884397754251465e+165
6.541930361698733e+173
2.7629859023376793e+166
9
-1.0078612296039493e-306
8.559342172806663e-304
-3.808718080567283e-307
8
-101.23954632380118
-0.00462979592141801
-0.02637138625625762

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03520
13520

end0.0ms

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.666157%

Results
264.0ms8000×body80valid
64.0ms1784×body80invalid

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