Details

Time bar (total: 10.9s)

sample158.0ms

Algorithm
intervals
Results
61.0ms588×body80nan
58.0ms544×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:
38.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series280.0ms

Counts
2 → 6
Calls
2 calls:
157.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
123.0ms
(* (- (* 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

prune143.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×pow1
16×sqrt-pow1
15×add-exp-log add-cbrt-cube
14×add-cube-cbrt exp-prod *-un-lft-identity
10×associate-*r* sqrt-prod
8×associate-*l/
7×pow-prod-down prod-exp cbrt-unprod
6×times-frac
4×associate-*l* add-log-exp
2×rem-sqrt-square flip3-- pow1/2 *-commutative flip-- div-inv
1×unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(sqrt (exp (/ (* t t) 2.0)))
3.0ms
(sqrt (exp (/ (* t t) 2.0)))
146.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (exp (/ (* t t) 2.0)))
40.0ms
(sqrt (exp (/ (* t t) 2.0)))
164.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
109.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0427852
11731712
25001697

prune336.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
25×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×associate-*r*
14×add-cube-cbrt *-un-lft-identity pow-prod-down associate-*l/ prod-exp cbrt-unprod
13×sqrt-prod
8×sqrt-pow1
7×exp-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×rem-sqrt-square pow1/2 div-inv
Counts
4 → 96
Calls
4 calls:
3.0ms
(sqrt (exp (/ (* t t) 2.0)))
283.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
20.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series425.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (exp (/ (* t t) 2.0)))
197.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
62.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
04931040
12286851
25002844

prune329.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
69×pow1 add-exp-log
48×pow-prod-down prod-exp cbrt-unprod
47×add-cbrt-cube
22×associate-*r* associate-*l/
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 121
Calls
4 calls:
1.5s
(* (* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
11.0ms
(* (- (* x 0.5) y) (sqrt z))
104.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
32.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series858.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
67.0ms
(* (- (* x 0.5) y) (sqrt z))
139.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
448.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify106.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06652169
131821563
250031408

prune354.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes590.0ms

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

sample4.5s

Algorithm
intervals
Results
1.8s17736×body80valid
1.7s17715×body80nan