Details

Time bar (total: 13.4s)

sample79.0ms

Algorithm
intervals
Results
24.0ms553×body80valid
21.0ms498×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24217
38217
415717
527117
660417
7166717
done500017

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)))

rewrite63.0ms

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:
4.0ms
(/ (* 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)))

series323.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* t t) 2.0)
184.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
112.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify638.0ms

Counts
77 → 77
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
01661141
14281087
21511934
done5000930

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite222.0ms

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)))
155.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
42.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
18.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series535.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(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))))
197.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
114.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify821.0ms

Counts
110 → 110
Iterations

Useful iterations: done (818.0ms)

IterNodesCost
02092315
15461919
219221658
done50001652

prune402.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite422.0ms

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:
299.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
81.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
25.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series673.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
240.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
62.0ms
(* (- (* x 0.5) y) (sqrt z))
149.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify905.0ms

Counts
122 → 122
Iterations

Useful iterations: done (901.0ms)

IterNodesCost
02092824
15702327
222621969
done50011961

prune421.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

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

rewrite562.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1 add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
22×associate-*r*
20×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 → 126
Calls
4 calls:
401.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (exp (/ (* t t) 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
33.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
111.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (exp (/ (* t t) 2.0))))
63.0ms
(* (- (* x 0.5) y) (sqrt z))
709.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
155.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify958.0ms

Counts
138 → 138
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
02393485
16593199
226202337
done50012329

prune444.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes504.0ms

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
796.0ms18167×body80valid
772.0ms18136×body80nan