Details

Time bar (total: 7.0s)

sample90.0ms

Algorithm
intervals
Results
27.0ms586×body80nan
24.0ms550×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune4.0ms

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

localize13.0ms

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)))

rewrite25.0ms

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×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 45
Calls
2 calls:
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series317.0ms

Counts
2 → 6
Calls
2 calls:
195.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
122.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0342490
11288417
25001410

prune185.0ms

Filtered
51 candidates to 39 candidates (76.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New43851
Fresh000
Picked011
Done000
Total43952

Merged error: 0.0b

Counts
52 → 9

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)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite39.0ms

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×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
3 → 76
Calls
3 calls:
16.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt z))
11.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series458.0ms

Counts
3 → 9
Calls
3 calls:
224.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
66.0ms
(* (- (* x 0.5) y) (sqrt z))
168.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0402775
11806660
25001646

prune264.0ms

Filtered
85 candidates to 55 candidates (64.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New80585
Fresh437
Picked011
Done011
Total841094

Merged error: 0.0b

Counts
94 → 10

localize15.0ms

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))

rewrite37.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×flip3-- sqrt-pow1 pow1/2 flip--
1×sqrt-unprod
Counts
3 → 79
Calls
3 calls:
16.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
11.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms
(* (sqrt z) (sqrt 2.0))

series457.0ms

Counts
3 → 9
Calls
3 calls:
227.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
153.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
77.0ms
(* (sqrt z) (sqrt 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0438768
11894659
25001644

prune255.0ms

Filtered
88 candidates to 55 candidates (62.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New86288
Fresh167
Picked101
Done022
Total881098

Merged error: 0.0b

Counts
98 → 10

localize18.0ms

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)))

rewrite81.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 113
Calls
4 calls:
27.0ms
(* (* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
20.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))
12.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
18.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series703.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
168.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))
216.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
85.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify116.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
06611922
130201394
250011263

prune364.0ms

Filtered
125 candidates to 76 candidates (60.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh077
Picked011
Done022
Total12510135

Merged error: 0.0b

Counts
135 → 10

regimes722.0ms

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

sample2.6s

Algorithm
intervals
Results
786.0ms18051×body80valid
775.0ms18212×body80nan

Profiling

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