Details

Time bar (total: 5.4s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 69.726563%

Results
11.0ms290×body80valid

simplify94.0ms

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: 9.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite16.0ms

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))
3.0ms
(- x (* y z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
6.0ms
(- x (* y z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune121.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New531265
Fresh000
Picked101
Done000
Total541266

Merged error: 9.0b

Counts
66 → 12

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))))
1.9b
(/ x (- t (* a z)))
9.6b
(/ (* y z) (- t (* a z)))

rewrite27.0ms

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))
13.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* a z))
28.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
14.0ms
(/ (* y z) (- t (* a z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0332640
11264590
25001590

prune121.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh5611
Picked101
Done000
Total999108

Merged error: 5.3b

Counts
108 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
1.9b
(/ x (- t (* a z)))
2.9b
(/ y (/ (- t (* a z)) z))
7.2b
(/ (- t (* a z)) z)

rewrite55.0ms

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)

series64.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
10.0ms
(/ x (- t (* a z)))
14.0ms
(/ y (/ (- t (* a z)) z))
11.0ms
(/ (- t (* a z)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05751367
122621305
250011302

prune174.0ms

Filtered
130 candidates to 162 candidates (-24.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh178
Picked101
Done000
Total1629171

Merged error: 0.8b

Counts
171 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
1.9b
(/ x (- t (* a z)))
2.9b
(/ y (- (/ t z) a))

rewrite44.0ms

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))
26.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
4.0ms
(/ x (- t (* a z)))
8.0ms
(/ y (- (/ t z) a))

series56.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- t (* a z))
28.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
10.0ms
(/ x (- t (* a z)))
10.0ms
(/ y (- (/ t z) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0373779
11077745
23219745
35002745

prune101.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh178
Picked101
Done000
Total11310123

Merged error: 0.8b

Counts
123 → 10

regimes604.0ms

Accuracy

0% (2.0b remaining)

Error of 3.6b against oracle of 1.6b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 69.726563%

Results
348.0ms8801×body80valid

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