Details

Time bar (total: 26.8s)

sample177.0ms

Algorithm
intervals
Results
57.0ms521×body80nan
48.0ms523×body80valid

simplify1.4s

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
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)))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cube-cbrt
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative div-inv flip--
1×clear-num frac-2neg sqrt-prod associate-/l* unswap-sqr rem-exp-log
Counts
4 → 77
Calls
4 calls:
7.0ms
(exp (/ (* t t) 2.0))
9.0ms
(/ (* t t) 2.0)
129.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
67.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(exp (/ (* t t) 2.0))
40.0ms
(/ (* t t) 2.0)
274.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
134.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
89 → 89
Iterations
IterNodes
done5001
22672
1478
0174

prune649.0ms

Pruning

9 alts after pruning (8 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)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite401.0ms

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×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 → 91
Calls
4 calls:
8.0ms
(/ (* t t) 2.0)
251.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
47.0ms
(* (- (* x 0.5) y) (sqrt z))
92.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series644.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* t t) 2.0)
279.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
109.0ms
(* (- (* x 0.5) y) (sqrt z))
226.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5000
23249
1511
0182

prune721.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
16×associate-*r*
15×add-sqr-sqrt
14×associate-*r/
11×*-un-lft-identity add-cube-cbrt
10×distribute-rgt-in distribute-lft-in
9×associate-*l*
7×sqrt-prod
6×cbrt-prod sub-neg associate-*l/
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 127
Calls
4 calls:
889.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
38.0ms
(* (sqrt z) (- (* x 0.5) y))
72.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt z) (- (* x 0.5) y)))
272.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (sqrt 2.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
85.0ms
(* (sqrt z) (- (* x 0.5) y))
981.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt z) (- (* x 0.5) y)))
269.0ms
(* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt z) (- (* x 0.5) y))) (cbrt (sqrt 2.0)))

simplify2.1s

Counts
139 → 139
Iterations
IterNodes
done5000
24366
1759
0254

prune892.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt z) y)
0.3b
(* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z)))))
0.3b
(* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z))))
0.3b
(* (+ (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z))))) (- (* (* (sqrt z) y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (cbrt (sqrt 2.0)))

rewrite904.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
27×add-sqr-sqrt associate-*l*
20×cbrt-prod add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
17×*-un-lft-identity add-cube-cbrt
14×associate-*r* sqrt-prod
5×unswap-sqr
4×*-commutative add-log-exp
2×associate-*l/
1×flip3-+ flip-+
Counts
4 → 107
Calls
4 calls:
12.0ms
(* (sqrt z) y)
149.0ms
(* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z)))))
62.0ms
(* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z))))
674.0ms
(* (+ (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z))))) (- (* (* (sqrt z) y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (cbrt (sqrt 2.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (sqrt z) y)
467.0ms
(* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z)))))
375.0ms
(* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z))))
715.0ms
(* (+ (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (* x (* 0.5 (sqrt z))))) (- (* (* (sqrt z) y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (cbrt (sqrt 2.0)))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5001
23574
1711
0253

prune840.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.5s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.4s17490×body80valid
2.2s17352×body80nan