Details

Time bar (total: 4.8s)

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
2.0ms57×body80invalid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1020244
1132764
1250014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.8b
(* (- y x) (/ z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*l*
pow1 add-log-exp
frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series22.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296310
11245287
25001275

prune81.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
11×*-un-lft-identity
cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
pow1
associate-*r* associate-*l*
cbrt-undiv div-exp add-log-exp
pow1/3
frac-times flip3-- times-frac associate-*l/ flip-- unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
13.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
21.0ms
(cbrt t)
23.0ms
(cbrt t)
42.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify47.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0399665
11639535
25001479

prune94.0ms

Filtered
57 candidates to 81 candidates (-42.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh055
Picked101
Done011
Total81788

Merged error: 0b

Counts
88 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.2b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
associate-*l*
prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
15.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
21.0ms
(cbrt t)
19.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0475857
12098748
25002689

prune108.0ms

Filtered
80 candidates to 106 candidates (-32.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh055
Picked011
Done011
Total1067113

Merged error: 0b

Counts
113 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×add-sqr-sqrt associate-*r*
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
times-frac
associate-*l/
cbrt-unprod
associate-*l*
add-log-exp
div-exp pow-prod-down
flip3-- flip--
cbrt-undiv frac-times rec-exp 1-exp *-commutative
+-commutative flip3-+ associate-*r/ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 75
Calls
3 calls:
6.0ms
(* (- y x) z)
3.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
12.0ms
(* (* (- y x) z) (/ 1 t))

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- y x) z)
11.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
12.0ms
(* (* (- y x) z) (/ 1 t))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0406461
11926392
25002367

prune67.0ms

Filtered
52 candidates to 84 candidates (-61.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done022
Total84791

Merged error: 0b

Counts
91 → 7

regimes399.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

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
251.0ms8000×body80valid
61.0ms1767×body80invalid

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