Details

Time bar (total: 12.2s)

sample160.0ms

Algorithm
intervals
Results
63.0ms588×body80nan
58.0ms544×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)))

rewrite63.0ms

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:
44.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series304.0ms

Counts
2 → 6
Calls
2 calls:
189.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
115.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0342490
11288417
25001410

prune192.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite203.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- pow1/2 *-commutative flip-- div-inv
1×unswap-sqr
Counts
4 → 95
Calls
4 calls:
4.0ms
(sqrt (exp (/ (* t t) 2.0)))
4.0ms
(sqrt (exp (/ (* t t) 2.0)))
175.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (exp (/ (* t t) 2.0)))
42.0ms
(sqrt (exp (/ (* t t) 2.0)))
189.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
119.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0445912
11660770
25001754

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite376.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×rem-sqrt-square pow1/2 div-inv
Counts
4 → 104
Calls
4 calls:
4.0ms
(sqrt (exp (/ (* t t) 2.0)))
327.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
17.0ms
(* (- (* x 0.5) y) (sqrt z))
24.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series471.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(sqrt (exp (/ (* t t) 2.0)))
223.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
63.0ms
(* (- (* x 0.5) y) (sqrt z))
143.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
05111106
12249914
25003901

prune417.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite1.9s

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×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 129
Calls
4 calls:
1.7s
(* (* (* (* (* (- (* 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))))
14.0ms
(* (- (* x 0.5) y) (sqrt z))
122.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
34.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series928.0ms

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))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
68.0ms
(* (- (* x 0.5) y) (sqrt z))
155.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
470.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify128.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
06832277
131701662
250031489

prune436.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes681.0ms

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 (1.0ms)

IterNodesCost
0199
1199

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.9s17736×body80valid
1.8s17715×body80nan