Details

Time bar (total: 10.5s)

sample129.0ms

Algorithm
intervals
Results
39.0ms567×body80valid
32.0ms540×body80nan

simplify728.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12517
24017
37917
413717
523817
655817
7164417
done500117

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize13.0ms

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)))

rewrite30.0ms

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:
5.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series69.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
50.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify707.0ms

Counts
71 → 71
Iterations

Useful iterations: done (705.0ms)

IterNodesCost
01501075
13971029
21445889
done5000861

prune165.0ms

Filtered
52 candidates to 71 candidates (-36.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New63871
Fresh000
Picked101
Done000
Total64872

Merged error: 0.0b

Counts
72 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
38×add-exp-log
26×add-sqr-sqrt
24×pow-prod-down
23×prod-exp add-cbrt-cube cbrt-unprod
19×cbrt-prod
17×associate-*r*
16×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×associate-*l*
6×pow1/3 swap-sqr
5×unswap-sqr
4×*-commutative add-log-exp
3×flip3-- flip--
2×pow-sqr pow-prod-up
1×pow2 pow-plus sqrt-prod
Counts
4 → 117
Calls
4 calls:
18.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
23.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))) (cbrt (exp (/ (* t t) 2.0))))
10.0ms
(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
10.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
47.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))) (cbrt (exp (/ (* t t) 2.0))))
35.0ms
(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify637.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
02013571
15433309
220972517
done50002517

prune359.0ms

Filtered
82 candidates to 129 candidates (-57.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh077
Picked101
Done000
Total1298137

Merged error: 0.0b

Counts
137 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2 (/ (* t t) 2.0))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3))
0.0b
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
30×prod-exp
24×associate-*r*
22×cbrt-unprod
19×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×associate-*l/
10×pow1
8×associate-*l*
4×pow-to-exp times-frac unpow1/3 pow-exp *-commutative add-log-exp
3×cbrt-prod unpow-prod-down flip3-- pow-prod-down flip-- unswap-sqr
2×cbrt-undiv div-exp
1×associate-*r/ sqrt-prod div-inv sqr-pow
Counts
4 → 107
Calls
4 calls:
9.0ms
(* 2 (/ (* t t) 2.0))
13.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3))
17.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
10.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 2 (/ (* t t) 2.0))
58.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3))
119.0ms
(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify685.0ms

Counts
119 → 119
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
02562803
17052524
226732133
done50002133

prune324.0ms

Filtered
84 candidates to 119 candidates (-41.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh077
Picked011
Done000
Total1198127

Merged error: 0.0b

Counts
127 → 8

localize14.0ms

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))

rewrite45.0ms

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:
5.0ms
(/ (* t t) 2.0)
16.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
9.0ms
(* (- (* x 0.5) y) (sqrt z))
12.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series88.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
51.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
22.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify555.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
01811588
14901492
219281279
done50001279

prune166.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New985103
Fresh426
Picked011
Done011
Total1029111

Merged error: 0b

Counts
111 → 9

regimes1.2s

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
02229
12829
done2829

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.1s18190×body80valid
1.1s18196×body80nan

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