Details

Time bar (total: 10.0s)

sample92.0ms

Algorithm
intervals
Results
25.0ms593×body80nan
21.0ms551×body80valid

simplify77.0ms

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

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

rewrite129.0ms

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:
90.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
38.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series289.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
93.0ms
(* (- (* 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

prune157.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

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)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite249.0ms

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:
167.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
28.0ms
(* (- (* x 0.5) y) (sqrt z))
52.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series352.0ms

Counts
3 → 9
Calls
3 calls:
178.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
56.0ms
(* (- (* x 0.5) y) (sqrt z))
117.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0388729
11854617
25002609

prune210.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))
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))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 115
Calls
4 calls:
748.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
28.0ms
(* (- (* x 0.5) y) (sqrt z))
219.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
72.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series796.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
54.0ms
(* (- (* x 0.5) y) (sqrt z))
138.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
412.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify92.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05781862
128191355
250011264

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

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)))
0.2b
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
36×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
14×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
11×add-cube-cbrt *-un-lft-identity associate-*l*
7×sqrt-prod
6×cbrt-prod
4×*-commutative add-log-exp
3×flip3-- flip--
2×unswap-sqr
Counts
4 → 107
Calls
4 calls:
1000.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
97.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
29.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
287.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series917.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
412.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
181.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
136.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06091856
128571399
250021280

prune306.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes478.0ms

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

sample2.7s

Algorithm
intervals
Results
721.0ms18276×body80nan
714.0ms18145×body80valid