Details

Time bar (total: 22.9s)

sample161.0ms

Algorithm
intervals
Results
50.0ms588×body80valid
41.0ms598×body80nan

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24117
38817
416117
526517
658717
7171717
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
10.0ms
(/ (* t t) 2.0)
126.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
48.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series395.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (* t t) 2.0)
240.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
123.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01601071
14101017
21361866
done5001842

prune286.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×prod-exp cbrt-unprod
4×associate-*r* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv div-exp associate-*l/ *-commutative
1×flip3-- frac-2neg clear-num sqrt-prod flip-- div-inv associate-/l* unswap-sqr
Counts
3 → 60
Calls
3 calls:
15.0ms
(/ (* t t) 2.0)
51.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
162.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series408.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (* t t) 2.0)
137.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
228.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01691125
14481070
21470912
done5001870

prune227.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
10.0ms
(/ (* t t) 2.0)
219.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
32.0ms
(* (- (* x 0.5) y) (sqrt z))
62.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series547.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (* t t) 2.0)
264.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
70.0ms
(* (- (* x 0.5) y) (sqrt z))
174.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01821582
14651470
216701247
done50001217

prune406.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))
0.3b
(* (- (* 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))))

rewrite1.6s

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×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 115
Calls
4 calls:
1.2s
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
45.0ms
(* (- (* x 0.5) y) (sqrt z))
316.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
123.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
105.0ms
(* (- (* x 0.5) y) (sqrt z))
211.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
562.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02093181
15562968
222482120
done50001855

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes590.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11917
done1917

end0.0ms

sample7.0s

Algorithm
intervals
Results
3.0s17820×body80nan
1.9s17919×body80valid