Details

Time bar (total: 21.7s)

sample175.0ms

Algorithm
intervals
Results
56.0ms562×body80nan
44.0ms567×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24117
38817
416117
526517
658717
7171717
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

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:
109.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
11.0ms
(/ (* t t) 2.0)
53.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series446.0ms

Counts
3 → 9
Calls
3 calls:
255.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
38.0ms
(/ (* t t) 2.0)
152.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01601071
14101017
21375866
done5001842

prune338.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

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:
241.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
11.0ms
(/ (* t t) 2.0)
44.0ms
(* (- (* x 0.5) y) (sqrt z))
89.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series573.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
35.0ms
(/ (* t t) 2.0)
106.0ms
(* (- (* x 0.5) y) (sqrt z))
183.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01821582
14651470
216711247
done50001217

prune389.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×pow1 add-exp-log
20×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity pow-prod-down
11×prod-exp cbrt-unprod
10×associate-*r* associate-*l* sqrt-prod
6×associate-*l/
4×add-log-exp unswap-sqr
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- sqrt-pow1 pow1/2 div-exp flip--
1×frac-2neg sqrt-unprod clear-num div-inv associate-/l*
Counts
4 → 94
Calls
4 calls:
173.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
11.0ms
(/ (* t t) 2.0)
92.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
14.0ms
(* (sqrt z) (sqrt 2.0))

series556.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
39.0ms
(/ (* t t) 2.0)
172.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
105.0ms
(* (sqrt z) (sqrt 2.0))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01911531
14961417
217481209
done50011172

prune433.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 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
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite675.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×associate-*l*
7×sqrt-prod
6×cbrt-prod
4×add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv div-exp associate-*l/ unswap-sqr
1×flip3-- frac-2neg clear-num flip-- div-inv associate-/l*
Counts
4 → 97
Calls
4 calls:
18.0ms
(/ (* t t) 2.0)
467.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))
47.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
137.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (* t t) 2.0)
189.0ms
(* (- (* x 0.5) y) (* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))
243.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
91.0ms
(* (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify1.4s

Counts
109 → 109
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02131923
15631770
220071256
done50001067

prune394.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes651.0ms

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

sample6.7s

Algorithm
intervals
Results
2.3s17451×body80nan
2.3s17754×body80valid