Details

Time bar (total: 6.8s)

sample87.0ms

Algorithm
intervals
Results
28.0ms598×body80nan
25.0ms582×body80valid

simplify75.0ms

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: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
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)))
0.2b
(sqrt (* z 2.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×pow1 add-exp-log
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×pow-prod-down prod-exp cbrt-unprod
4×associate-*l* add-log-exp
3×times-frac associate-/r*
2×cbrt-undiv flip3-- sqrt-pow1 div-exp sqrt-prod *-commutative flip--
1×frac-2neg pow1/2 clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 73
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
39.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))
1.0ms
(sqrt (* z 2.0))

series339.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
155.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))
48.0ms
(sqrt (* z 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0510611
12044513
25002513

prune243.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
89.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
11.0ms
(* (- (* x 0.5) y) (sqrt z))
20.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series388.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* t t) 2.0)
183.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
58.0ms
(* (- (* x 0.5) y) (sqrt z))
123.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0474814
12310687
25001683

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
30×add-exp-log
27×associate-*r*
22×sqrt-prod
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 105
Calls
4 calls:
267.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
11.0ms
(* (- (* x 0.5) y) (sqrt z))
74.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
25.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
68.0ms
(* (- (* x 0.5) y) (sqrt z))
155.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
168.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05431259
12725997
25002985

prune281.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
0.3b
(* (sqrt z) (sqrt (sqrt 2.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
27×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×pow1
19×associate-*r*
15×add-cube-cbrt *-un-lft-identity
12×pow-prod-down
11×prod-exp cbrt-unprod
10×associate-*l*
6×associate-*l/ unswap-sqr
4×add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- sqrt-pow1 pow1/2 div-exp flip--
1×frac-2neg sqrt-unprod clear-num div-inv associate-/l*
Counts
4 → 105
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
22.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
66.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
8.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* t t) 2.0)
151.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
133.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
76.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0572935
12635782
25002764

prune323.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes368.0ms

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

sample2.5s

Algorithm
intervals
Results
783.0ms17855×body80valid
771.0ms17730×body80nan