Details

Time bar (total: 4.9s)

analyze726.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%74.9%25.1%8
6.2%68.6%25.1%9
7.8%67.1%25.1%10
10.1%64.7%25.1%11
14.8%47.6%37.6%12
15.8%36.8%47.4%13
16.6%35.1%48.3%14

sample53.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
10.0ms183×body80invalid
9.0ms154×body80nan

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
0518917

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(/ (* t t) 2.0)
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×exp-prod
6×times-frac
5×pow1
4×associate-*r* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv
1×flip3-- frac-2neg pow-prod-down clear-num sqrt-prod *-commutative flip-- rem-exp-log associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04964558
14964558

prune148.0ms

Filtered
51 candidates to 66 candidates (-29.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(/ (* t t) 2.0)
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×pow1
7×exp-prod sqrt-prod
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num rem-exp-log associate-/l*
Counts
4 → 83
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
7.0ms
(* (- (* x 0.5) y) (sqrt z))
9.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series34.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
12.0ms
(* (- (* x 0.5) y) (sqrt z))
16.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04956857
14956857

prune166.0ms

Filtered
69 candidates to 95 candidates (-37.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New91495
Fresh516
Picked011
Done011
Total967103

Merged error: 0b

Counts
103 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.2b
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
32×pow1
27×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×associate-*l*
7×sqrt-prod
6×cbrt-prod associate-*l/
4×add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- div-exp flip-- unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
6.0ms
(/ (* t t) 2.0)
9.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
14.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
29.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
13.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
38.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
16.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049611343
149611343

prune232.0ms

Filtered
71 candidates to 111 candidates (-56.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh044
Picked011
Done022
Total1117118

Merged error: 0b

Counts
118 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
0.3b
(* (sqrt z) (sqrt (sqrt 2.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
27×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×pow1
19×associate-*r*
15×add-cube-cbrt *-un-lft-identity
12×pow-prod-down
11×prod-exp cbrt-unprod
10×associate-*l*
6×associate-*l/ unswap-sqr
4×add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- sqrt-pow1 pow1/2 div-exp flip--
1×frac-2neg sqrt-unprod clear-num div-inv associate-/l*
Counts
4 → 105
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
10.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
14.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
7.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
19.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
16.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
5.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049761232
149761232

prune280.0ms

Filtered
78 candidates to 117 candidates (-50.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1161117
Fresh213
Picked011
Done033
Total1186124

Merged error: 0b

Counts
124 → 6

regimes946.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02917
12917

end0.0ms

sample1.6s

Algorithm
intervals
Results
491.0ms8000×body80valid
374.0ms6123×body80invalid
280.0ms4569×body80nan

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