Details

Time bar (total: 9.4s)

sample3.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 24.951172%

Results
9.0ms256×body80valid
1.0ms25×body80invalid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
5.0ms
(/ (- x (* y z)) (- t (* a z)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
6.0ms
(- x (* y z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune118.0ms

Filtered
50 candidates to 65 candidates (-30.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New521365
Fresh000
Picked101
Done000
Total531366

Merged error: 9.6b

Counts
66 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.9b
(/ x (- t (* a z)))
9.8b
(/ (* y z) (- t (* a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip--
4×pow1 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 84
Calls
4 calls:
2.0ms
(- t (* a z))
12.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* a z))
30.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
12.0ms
(/ (* y z) (- t (* a z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0332640
11264590
25001590

prune120.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New94296
Fresh4812
Picked011
Done000
Total9811109

Merged error: 6.2b

Counts
109 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.9b
(/ x (- t (* a z)))
3.3b
(/ y (/ (- t (* a z)) z))
8.7b
(/ (- t (* a z)) z)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
34.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series62.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
10.0ms
(/ x (- t (* a z)))
13.0ms
(/ y (/ (- t (* a z)) z))
7.0ms
(/ (- t (* a z)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05751367
122621305
250011302

prune174.0ms

Filtered
129 candidates to 162 candidates (-25.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh279
Picked101
Done101
Total1649173

Merged error: 1.1b

Counts
173 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
2.9b
(/ x (- t (* a z)))
3.3b
(/ y (- (/ t z) a))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
42×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×frac-sub
Counts
4 → 102
Calls
4 calls:
3.0ms
(- t (* a z))
28.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
4.0ms
(/ x (- t (* a z)))
8.0ms
(/ y (- (/ t z) a))

series52.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* a z))
26.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
10.0ms
(/ x (- t (* a z)))
10.0ms
(/ y (- (/ t z) a))

simplify78.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0373779
11077745
23219745
35002745

prune92.0ms

Filtered
86 candidates to 114 candidates (-32.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh178
Picked011
Done000
Total1149123

Merged error: 1.1b

Counts
123 → 9

regimes571.0ms

Accuracy

47.7% (0.8b remaining)

Error of 2.2b against oracle of 1.4b and baseline of 2.9b

bsearch57.0ms

Steps
ItersRangePoint
10
1.8665681368952837e-261
1.7138293027886917e-247
3.332216137725976e-260
9
-2.3945612861402145e-30
-3.715527177701299e-37
-9.667780735998081e-32

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113

end0.0ms

sample4.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 24.951172%

Results
326.0ms8000×body80valid
27.0ms756×body80invalid

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