Details

Time bar (total: 27.5s)

sample169.0ms

Algorithm
intervals
Results
55.0ms569×body80nan
41.0ms555×body80valid

simplify2.6s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube
7×add-sqr-sqrt associate-*r* add-exp-log
6×associate-*l/
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 45
Calls
2 calls:
76.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
33.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series385.0ms

Counts
2 → 6
Calls
2 calls:
241.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
143.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts
51 → 51
Iterations
IterNodes
done5000
21369
1346
0128

prune341.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube
16×add-exp-log
15×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
5×associate-*l*
3×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
Counts
3 → 76
Calls
3 calls:
141.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
23.0ms
(* (- (* x 0.5) y) (sqrt z))
47.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series443.0ms

Counts
3 → 9
Calls
3 calls:
242.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
67.0ms
(* (- (* x 0.5) y) (sqrt z))
133.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.6s

Counts
85 → 85
Iterations
IterNodes
done5000
22131
1409
0155

prune517.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

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)))
0.2b
(* (- (* 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))))

rewrite1.2s

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×*-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×cbrt-prod associate-*l*
4×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
793.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
33.0ms
(* (- (* x 0.5) y) (sqrt z))
245.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
79.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
84.0ms
(* (- (* x 0.5) y) (sqrt z))
172.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
515.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify2.3s

Counts
135 → 135
Iterations
IterNodes
done5000
23332
1599
0217

prune694.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0s

Algorithm
rewrite-expression-head
Rules
166×pow1
154×add-exp-log
128×pow-prod-down prod-exp cbrt-unprod
96×add-cbrt-cube
25×distribute-rgt-in distribute-lft-in
22×add-sqr-sqrt
19×associate-*r*
18×*-un-lft-identity prod-diff add-cube-cbrt
15×cbrt-prod
14×associate-*r/
9×associate-*l*
7×sqrt-prod
6×sub-neg associate-*l/
4×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×unswap-sqr
Counts
4 → 210
Calls
4 calls:
2.9s
(* (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0))))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
34.0ms
(* (sqrt z) (- (* x 0.5) y))
790.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0))))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (cbrt (sqrt 2.0))))
216.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0))))) (* (sqrt z) (- (* x 0.5) y)))

series1.6s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0))))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (cbrt (sqrt 2.0)))) (exp (/ (* t t) 2.0)))
82.0ms
(* (sqrt z) (- (* x 0.5) y))
241.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0))))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (cbrt (sqrt 2.0))))
1.0s
(* (* (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (cbrt (sqrt 2.0))))) (* (sqrt z) (- (* x 0.5) y)))

simplify1.4s

Counts
222 → 222
Iterations
IterNodes
done5001
11188
0378

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes892.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.1s18141×body80valid
1.7s17897×body80nan