Details

Time bar (total: 12.1s)

sample81.0ms

Algorithm
intervals
Results
24.0ms553×body80valid
21.0ms498×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24217
38417
416217
528617
662517
7178517
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 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)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 68
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
37.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series300.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (* t t) 2.0)
162.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
108.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify597.0ms

Counts
77 → 77
Iterations

Useful iterations: done (595.0ms)

IterNodesCost
01661141
14391087
21702934
done5000930

prune248.0ms

Pruning

9 alts after pruning (9 fresh and 0 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
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
20×add-exp-log add-cbrt-cube
16×add-sqr-sqrt associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×associate-*l/
10×pow-prod-down prod-exp sqrt-prod cbrt-unprod
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--
1×rem-sqrt-square pow1/2 div-inv unswap-sqr
Counts
4 → 98
Calls
4 calls:
3.0ms
(sqrt (exp (/ (* t t) 2.0)))
148.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
39.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (exp (/ (* t t) 2.0)))
181.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
183.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
112.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify811.0ms

Counts
110 → 110
Iterations

Useful iterations: done (808.0ms)

IterNodesCost
02092315
15541923
221091658
done50011652

prune393.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log add-cbrt-cube
24×associate-*r*
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity sqrt-prod
6×associate-*l*
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 110
Calls
4 calls:
278.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
77.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
24.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series653.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
229.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
67.0ms
(* (- (* x 0.5) y) (sqrt z))
144.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.0s

Counts
122 → 122
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02092824
15812335
225001969
done50011961

prune400.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1
34×add-exp-log add-cbrt-cube
22×pow-prod-down
21×add-sqr-sqrt
20×prod-exp cbrt-unprod
16×associate-*l* sqrt-prod
14×associate-*r*
13×add-cube-cbrt *-un-lft-identity
8×associate-*l/
4×expm1-log1p-u associate-*r/ *-commutative log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- flip--
2×sqrt-pow1 pow1/2
1×sqrt-unprod
Counts
4 → 113
Calls
4 calls:
187.0ms
(* (* (sqrt (exp (/ (* t t) 2.0))) (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
54.0ms
(* (sqrt (exp (/ (* t t) 2.0))) (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))))
19.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms
(* (sqrt z) (sqrt 2.0))

series695.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (* (sqrt (exp (/ (* t t) 2.0))) (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
250.0ms
(* (sqrt (exp (/ (* t t) 2.0))) (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))))
139.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
71.0ms
(* (sqrt z) (sqrt 2.0))

simplify835.0ms

Counts
125 → 125
Iterations

Useful iterations: done (831.0ms)

IterNodesCost
02182765
15912472
224171946
done50001937

prune375.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes523.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01726
12226
done2226

end0.0ms

sample2.5s

Algorithm
intervals
Results
777.0ms18167×body80valid
771.0ms18136×body80nan