Details

Time bar (total: 5.3s)

analyze819.0ms

Algorithm
search

sample55.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms136×body80nan
10.0ms173×body80invalid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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)))

rewrite15.0ms

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)
7.0ms
(* (- (* 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)))

simplify34.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0301327
11157291
25001291

prune140.0ms

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

localize14.0ms

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))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite24.0ms

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))

series35.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
12.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0395527
11723471
25001467

prune166.0ms

Filtered
68 candidates to 95 candidates (-39.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91495
Fresh426
Picked011
Done011
Total958103

Merged error: 0b

Counts
103 → 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) (sqrt 2.0)))
0.5b
(* (sqrt z) (sqrt 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×pow1 add-cube-cbrt *-un-lft-identity
10×sqrt-prod
9×associate-*l*
7×exp-prod associate-*r*
6×times-frac pow-prod-down
5×prod-exp cbrt-unprod add-log-exp
4×unswap-sqr
3×associate-/r*
2×cbrt-undiv sqrt-pow1 pow1/2 div-exp associate-*l/ *-commutative div-inv
1×flip3-- frac-2neg sqrt-unprod clear-num flip-- rem-exp-log associate-/l*
Counts
4 → 86
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
9.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms
(* (sqrt z) (sqrt 2.0))

series28.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
15.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
5.0ms
(* (sqrt z) (sqrt 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0421517
11743471
25001469

prune154.0ms

Filtered
68 candidates to 98 candidates (-44.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New97198
Fresh235
Picked011
Done022
Total997106

Merged error: 0b

Counts
106 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 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))) (sqrt (sqrt 2.0)))
0.3b
(* (sqrt z) (sqrt (sqrt 2.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
27×add-sqr-sqrt
25×pow1 add-exp-log add-cbrt-cube
19×associate-*r*
16×pow-prod-down
15×add-cube-cbrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×associate-*l*
6×unswap-sqr
5×sqrt-pow1 pow1/2
4×add-log-exp
3×times-frac sqrt-unprod associate-/r* *-commutative
2×cbrt-undiv div-exp associate-*l/
1×flip3-- frac-2neg clear-num flip-- div-inv associate-/l*
Counts
4 → 106
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
13.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
10.0ms
(* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
7.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
15.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
5.0ms
(* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
6.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0530852
12528732
25002710

prune206.0ms

Filtered
78 candidates to 118 candidates (-51.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh033
Picked011
Done033
Total1187125

Merged error: 0b

Counts
125 → 7

regimes961.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

analyze722.0ms

Algorithm
search

sample1.5s

Algorithm
intervals
Results
457.0ms8000×body80valid
350.0ms6388×body80invalid
254.0ms4536×body80nan

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