Details

Time bar (total: 23.8s)

sample169.0ms

Algorithm
intervals
Results
44.0ms568×body80valid
43.0ms628×body80nan

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
71585
6613
5332
4198
395
242
126
015

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

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)))

rewrite158.0ms

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×expm1-log1p-u associate-/r* times-frac log1p-expm1-u 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 → 68
Calls
3 calls:
11.0ms
(/ (* t t) 2.0)
94.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
51.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series379.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (* t t) 2.0)
200.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
148.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts
77 → 77
Iterations
IterNodes
done5001
21580
1458
0165

prune518.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite536.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube add-exp-log
20×pow1
16×associate-*r*
14×add-sqr-sqrt
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×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* times-frac flip3-- *-commutative flip--
2×cbrt-undiv div-exp
1×clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
4 → 99
Calls
4 calls:
15.0ms
(/ (* t t) 2.0)
113.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
367.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
35.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* t t) 2.0)
249.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
206.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
142.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts
111 → 111
Iterations
IterNodes
done5001
22244
1622
0218

prune803.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite340.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
8.0ms
(/ (* t t) 2.0)
221.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
24.0ms
(* (- (* x 0.5) y) (sqrt z))
85.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series576.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (* t t) 2.0)
272.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
95.0ms
(* (- (* x 0.5) y) (sqrt z))
168.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.5s

Counts
111 → 111
Iterations
IterNodes
done5001
22022
1522
0190

prune801.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize39.0ms

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)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 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))))

rewrite1.4s

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:
926.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
321.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
25.0ms
(* (- (* x 0.5) y) (sqrt z))
75.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
171.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
80.0ms
(* (- (* x 0.5) y) (sqrt z))
591.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.8s

Counts
135 → 135
Iterations
IterNodes
done5000
22400
1584
0217

prune770.0ms

Pruning

7 alts after pruning (6 fresh and 1 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

simplify3.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.9s18127×body80nan
1.8s18226×body80valid