Details

Time bar (total: 26.6s)

sample175.0ms

Algorithm
intervals
Results
44.0ms555×body80valid
43.0ms569×body80nan

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
72322
6746
5367
4204
392
243
126
015

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
50×add-sqr-sqrt
48×*-un-lft-identity add-cube-cbrt
15×add-cbrt-cube
13×associate-/r* add-exp-log
10×pow1
6×associate-*l*
5×associate-*r* div-inv
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u associate-/l* add-log-exp
2×associate-*l/ *-commutative
1×clear-num frac-2neg flip3-- associate-/r/ sqrt-prod flip-- unswap-sqr
Counts
3 → 115
Calls
3 calls:
85.0ms
(* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0)))
11.0ms
(/ t (/ 2.0 t))
363.0ms
(* (- (* x 0.5) y) (* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0))))

series452.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0)))
53.0ms
(/ t (/ 2.0 t))
282.0ms
(* (- (* x 0.5) y) (* (exp (/ t (/ 2.0 t))) (sqrt (* z 2.0))))

simplify1.5s

Counts
124 → 124
Iterations
IterNodes
done5001
23826
1745
0274

prune994.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube
16×add-exp-log
13×add-sqr-sqrt
10×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×associate-*l/ unswap-sqr
1×flip3-- flip--
Counts
3 → 72
Calls
3 calls:
31.0ms
(* (sqrt z) (exp (/ (* t t) 2.0)))
260.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (exp (/ (* t t) 2.0))) (sqrt 2.0)))
72.0ms
(* (* (sqrt z) (exp (/ (* t t) 2.0))) (sqrt 2.0))

series498.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(* (sqrt z) (exp (/ (* t t) 2.0)))
266.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (exp (/ (* t t) 2.0))) (sqrt 2.0)))
126.0ms
(* (* (sqrt z) (exp (/ (* t t) 2.0))) (sqrt 2.0))

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done5001
22140
1474
0169

prune656.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt z) (exp (/ t (/ 2.0 t))))
0.2b
(/ t (/ 2.0 t))
0.2b
(* (- (* 0.5 x) y) (* (sqrt z) (exp (/ t (/ 2.0 t)))))
0.4b
(* (* (- (* 0.5 x) y) (* (sqrt z) (exp (/ t (/ 2.0 t))))) (sqrt 2.0))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
75×times-frac
56×add-sqr-sqrt
52×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube
22×add-exp-log
20×pow1
13×associate-/r*
10×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
7×sqrt-prod
6×associate-*l/
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative associate-/l*
2×flip3-- flip-- unswap-sqr
1×clear-num frac-2neg associate-/r/
Counts
4 → 146
Calls
4 calls:
85.0ms
(* (sqrt z) (exp (/ t (/ 2.0 t))))
13.0ms
(/ t (/ 2.0 t))
227.0ms
(* (- (* 0.5 x) y) (* (sqrt z) (exp (/ t (/ 2.0 t)))))
905.0ms
(* (* (- (* 0.5 x) y) (* (sqrt z) (exp (/ t (/ 2.0 t))))) (sqrt 2.0))

series549.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (sqrt z) (exp (/ t (/ 2.0 t))))
28.0ms
(/ t (/ 2.0 t))
148.0ms
(* (- (* 0.5 x) y) (* (sqrt z) (exp (/ t (/ 2.0 t)))))
291.0ms
(* (* (- (* 0.5 x) y) (* (sqrt z) (exp (/ t (/ 2.0 t))))) (sqrt 2.0))

simplify1.6s

Counts
158 → 158
Iterations
IterNodes
done5000
24376
1804
0292

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
61×pow1
54×add-exp-log
43×add-cbrt-cube
41×pow-prod-down prod-exp cbrt-unprod
19×associate-*r*
17×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×cbrt-prod associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r/ *-commutative log1p-expm1-u add-log-exp
2×sub-neg flip3-- associate-*l/ flip-- unswap-sqr
Counts
4 → 129
Calls
4 calls:
23.0ms
(* (exp (/ (* t t) 2.0)) (sqrt z))
88.0ms
(* (* (exp (/ (* t t) 2.0)) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
1.5s
(* (* (* (* (exp (/ (* t t) 2.0)) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* 0.5 x) y)) (cbrt (sqrt 2.0)))
410.0ms
(* (* (* (exp (/ (* t t) 2.0)) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* 0.5 x) y))

series1.4s

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (exp (/ (* t t) 2.0)) (sqrt z))
396.0ms
(* (* (exp (/ (* t t) 2.0)) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
231.0ms
(* (* (* (* (exp (/ (* t t) 2.0)) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* 0.5 x) y)) (cbrt (sqrt 2.0)))
705.0ms
(* (* (* (exp (/ (* t t) 2.0)) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (- (* 0.5 x) y))

simplify1.6s

Counts
141 → 141
Iterations
IterNodes
done5000
24646
1797
0270

prune854.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.2s17897×body80nan
2.2s18141×body80valid