Details

Time bar (total: 16.8s)

sample79.0ms

Algorithm
intervals
Results
25.0ms563×body80valid
21.0ms536×body80nan

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24217
38217
415717
527117
660417
7172817
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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

rewrite62.0ms

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)
42.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series304.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (* t t) 2.0)
171.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify961.0ms

Counts
77 → 77
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
01661141
14281087
21480934
done5002910

prune253.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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

rewrite117.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
77.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series440.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* t t) 2.0)
205.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
59.0ms
(* (- (* x 0.5) y) (sqrt z))
144.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.1s

Counts
111 → 111
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01901674
14871566
218091336
done50011330

prune329.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite546.0ms

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×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
391.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
108.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
30.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series899.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
68.0ms
(* (- (* x 0.5) y) (sqrt z))
149.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
464.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.2s

Counts
135 → 135
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02173331
15983125
223702240
done50002232

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
36×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
16×associate-*r*
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×associate-*l*
7×sqrt-prod
6×cbrt-prod associate-*r/ prod-diff associate-*l/
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×flip3-- flip--
2×sub-neg unswap-sqr
Counts
4 → 125
Calls
4 calls:
749.0ms
(* (* (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* x 0.5) y)) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
57.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* x 0.5) y))
196.0ms
(* (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* x 0.5) y)) (cbrt (sqrt 2.0)))
15.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (* (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* x 0.5) y)) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
759.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* x 0.5) y))
217.0ms
(* (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* x 0.5) y)) (cbrt (sqrt 2.0)))
202.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.4s

Counts
137 → 137
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02853655
18113370
233182544
done50002527

prune421.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes778.0ms

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
01517
11917
done1917

end0.0ms

sample2.4s

Algorithm
intervals
Results
757.0ms17856×body80valid
735.0ms17822×body80nan