Details

Time bar (total: 6.2s)

sample82.0ms

Algorithm
intervals
Results
24.0ms550×body80valid
23.0ms586×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube
7×add-exp-log add-sqr-sqrt associate-*r*
6×associate-*l/
5×add-cube-cbrt *-un-lft-identity
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 41
Calls
2 calls:
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series256.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328458
11313387
25001384

prune142.0ms

Filtered
47 candidates to 35 candidates (74.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New38947
Fresh000
Picked011
Done000
Total381048

Merged error: 0.0b

Counts
48 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube
16×add-exp-log
15×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
5×associate-*l*
3×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
3 → 70
Calls
3 calls:
14.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
10.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series387.0ms

Counts
3 → 9
Calls
3 calls:
198.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
60.0ms
(* (- (* x 0.5) y) (sqrt z))
129.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0388729
11854617
25002609

prune210.0ms

Filtered
79 candidates to 49 candidates (62.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New76379
Fresh358
Picked011
Done011
Total791089

Merged error: 0.0b

Counts
89 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
19×add-cbrt-cube
17×add-sqr-sqrt
16×add-exp-log
12×pow-prod-down
10×associate-*r* associate-*l* prod-exp sqrt-prod cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×unswap-sqr
3×*-commutative add-log-exp
2×flip3-- sqrt-pow1 pow1/2 flip--
1×sqrt-unprod
Counts
3 → 73
Calls
3 calls:
15.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
10.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms
(* (sqrt z) (sqrt 2.0))

series388.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
134.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
65.0ms
(* (sqrt z) (sqrt 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0422724
11847617
25001608

prune201.0ms

Filtered
82 candidates to 49 candidates (59.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh077
Picked101
Done022
Total821092

Merged error: 0.0b

Counts
92 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
35×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
14×associate-*r*
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity associate-*l*
7×sqrt-prod
6×cbrt-prod associate-*l/
4×*-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 105
Calls
4 calls:
24.0ms
(* (* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
21.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))
10.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
13.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
145.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))
182.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
71.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06391820
129541297
250011192

prune289.0ms

Filtered
117 candidates to 68 candidates (58.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh077
Picked011
Done022
Total11710127

Merged error: 0.0b

Counts
127 → 10

regimes645.0ms

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 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample2.4s

Algorithm
intervals
Results
757.0ms18051×body80valid
734.0ms18212×body80nan

Profiling

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