Details

Time bar (total: 42.7s)

sample137.0ms

Algorithm
intervals
Results
53.0ms547×body80valid
28.0ms518×body80nan

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5001
71375
6508
5273
4176
391
240
125
015

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

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)))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×add-sqr-sqrt pow1
8×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×associate-/r* times-frac insert-posit16 add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×clear-num frac-2neg sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
24.0ms
(/ (* t t) 2.0)
197.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
95.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series548.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (* t t) 2.0)
335.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
168.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.7s

Counts
74 → 74
Iterations
IterNodes
done5001
21497
1450
0162

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

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)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite474.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×*-un-lft-identity associate-*l/ add-cube-cbrt
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×insert-posit16 add-log-exp
3×associate-/r* times-frac flip3-- *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 95
Calls
4 calls:
12.0ms
(/ (* t t) 2.0)
319.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
41.0ms
(* (- (* x 0.5) y) (sqrt z))
96.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series658.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (* t t) 2.0)
357.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
81.0ms
(* (- (* x 0.5) y) (sqrt z))
177.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.2s

Counts
107 → 107
Iterations
IterNodes
done5000
21979
1513
0186

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.4b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×pow-prod-down associate-*l/
4×pow1/2 associate-*l* prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 87
Calls
4 calls:
6.0ms
(sqrt (sqrt (* z 2.0)))
7.0ms
(sqrt (sqrt (* z 2.0)))
63.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
204.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series992.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(sqrt (sqrt (* z 2.0)))
282.0ms
(sqrt (sqrt (* z 2.0)))
266.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
182.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify6.2s

Counts
99 → 99
Iterations
IterNodes
done5014
34439
21284
1374
0143

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
30×add-exp-log
27×associate-*r*
22×sqrt-prod
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
18×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
6×associate-*l*
4×flip3-- *-commutative insert-posit16 flip-- add-log-exp
2×unswap-sqr
Counts
4 → 109
Calls
4 calls:
1.3s
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
43.0ms
(* (- (* x 0.5) y) (sqrt z))
338.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
107.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
420.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
112.0ms
(* (- (* x 0.5) y) (sqrt z))
225.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
265.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify4.2s

Counts
121 → 121
Iterations
IterNodes
done5000
22120
1569
0205

prune1.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes3.6s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.3s17934×body80valid
2.3s17891×body80nan