Details

Time bar (total: 22.0s)

sample176.0ms

Algorithm
intervals
Results
41.0ms555×body80valid
41.0ms569×body80nan

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
72095
6679
5324
4182
388
241
125
015

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

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)))

rewrite120.0ms

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×flip3-- *-commutative flip-- add-log-exp
1×sqrt-prod unswap-sqr
Counts
2 → 41
Calls
2 calls:
88.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
31.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series360.0ms

Counts
2 → 6
Calls
2 calls:
237.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
123.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.1s

Counts
47 → 47
Iterations
IterNodes
done5000
21454
1337
0124

prune286.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×sqrt-pow1
14×exp-prod *-un-lft-identity add-cube-cbrt
13×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r* sqrt-prod
6×times-frac associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square flip3-- pow1/2 *-commutative div-inv flip--
1×unswap-sqr
Counts
4 → 84
Calls
4 calls:
9.0ms
(sqrt (exp (/ (* t t) 2.0)))
9.0ms
(sqrt (exp (/ (* t t) 2.0)))
125.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
40.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(sqrt (exp (/ (* t t) 2.0)))
37.0ms
(sqrt (exp (/ (* t t) 2.0)))
196.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
140.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5000
21678
1408
0163

prune812.0ms

Pruning

9 alts after pruning (8 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))

rewrite245.0ms

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×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
3 → 70
Calls
3 calls:
154.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
27.0ms
(* (- (* x 0.5) y) (sqrt z))
60.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series518.0ms

Counts
3 → 9
Calls
3 calls:
269.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
72.0ms
(* (- (* x 0.5) y) (sqrt z))
177.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5002
22098
1399
0149

prune391.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize28.0ms

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))))

rewrite1.1s

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×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 115
Calls
4 calls:
765.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
40.0ms
(* (- (* x 0.5) y) (sqrt z))
214.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
66.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
67.0ms
(* (- (* x 0.5) y) (sqrt z))
189.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
599.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify2.3s

Counts
127 → 127
Iterations
IterNodes
done5001
23538
1587
0209

prune656.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.1s18141×body80valid
2.0s17897×body80nan