Details

Time bar (total: 41.9s)

sample395.0ms

Algorithm
intervals
Results
237.0ms1255×body80nan
85.0ms432×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
31271
2198
158
022

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.8b

localize53.0ms

Local error

Found 4 expressions with local error:

13.7b
(sqrt (/ d h))
13.7b
(sqrt (/ d h))
15.2b
(sqrt (/ d l))
15.2b
(sqrt (/ d l))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
52×sqrt-prod
44×add-sqr-sqrt
40×times-frac
32×*-un-lft-identity add-cube-cbrt
8×pow1 rem-sqrt-square
4×expm1-log1p-u sqrt-pow1 add-cbrt-cube pow1/2 sqrt-div add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
4 → 112
Calls
4 calls:
2.0ms
(sqrt (/ d h))
2.0ms
(sqrt (/ d h))
3.0ms
(sqrt (/ d l))
3.0ms
(sqrt (/ d l))

series250.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (/ d h))
79.0ms
(sqrt (/ d h))
57.0ms
(sqrt (/ d l))
52.0ms
(sqrt (/ d l))

simplify2.1s

Counts
124 → 124
Iterations
IterNodes
done5000
32253
2660
1255
0143

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 20.7b

localize137.0ms

Local error

Found 4 expressions with local error:

8.5b
(* (/ M (/ (* 2 d) D)) (/ h l))
13.7b
(sqrt (/ d h))
13.7b
(sqrt (/ d h))
15.2b
(sqrt (/ d l))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
67×add-sqr-sqrt
46×*-un-lft-identity add-cube-cbrt
39×sqrt-prod
36×add-cbrt-cube add-exp-log
26×associate-*l*
14×cbrt-undiv div-exp
13×associate-*r*
10×prod-exp cbrt-unprod
9×pow1
8×div-inv
6×rem-sqrt-square
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×sqrt-pow1 pow1/2 sqrt-div
1×frac-times pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative
Counts
4 → 158
Calls
4 calls:
56.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
5.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d l))

series321.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
78.0ms
(sqrt (/ d h))
64.0ms
(sqrt (/ d h))
78.0ms
(sqrt (/ d l))

simplify2.0s

Counts
170 → 170
Iterations
IterNodes
done5004
22830
1787
0312

prune2.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.0b

localize105.0ms

Local error

Found 4 expressions with local error:

7.7b
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (* (/ M (/ (* 2 d) D)) (/ h l)) (/ M (/ (* 2 d) D))) -1/2) (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))))
8.5b
(* (/ M (/ (* 2 d) D)) (/ h l))
13.7b
(sqrt (/ d h))
13.7b
(sqrt (/ d h))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×times-frac
57×add-sqr-sqrt
39×*-un-lft-identity add-cube-cbrt
36×add-cbrt-cube add-exp-log
26×associate-*l* sqrt-prod
14×cbrt-undiv div-exp
13×associate-*r*
10×prod-exp cbrt-unprod
8×pow1
7×div-inv
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×sqrt-pow1 pow1/2 sqrt-div
1×frac-times pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative fma-udef
Counts
4 → 141
Calls
4 calls:
0.0ms
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (* (/ M (/ (* 2 d) D)) (/ h l)) (/ M (/ (* 2 d) D))) -1/2) (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))))
41.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
5.0ms
(sqrt (/ d h))
4.0ms
(sqrt (/ d h))

series1.4s

Counts
4 → 12
Calls
4 calls:
1.2s
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (* (/ M (/ (* 2 d) D)) (/ h l)) (/ M (/ (* 2 d) D))) -1/2) (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))))
111.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
52.0ms
(sqrt (/ d h))
79.0ms
(sqrt (/ d h))

simplify3.0s

Counts
153 → 153
Iterations
IterNodes
done5001
23770
1900
0331

prune1.6s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 15.4b

localize95.0ms

Local error

Found 4 expressions with local error:

5.9b
(/ (* (/ M (/ (* 2 d) D)) h) l)
7.7b
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (/ (* (/ M (/ (* 2 d) D)) h) l) (/ M (/ (* 2 d) D))) -1/2) (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))))
13.7b
(sqrt (/ d h))
13.7b
(sqrt (/ d h))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt sqrt-prod
24×add-cbrt-cube add-exp-log
23×times-frac
20×*-un-lft-identity add-cube-cbrt
10×cbrt-undiv div-exp
6×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×sqrt-pow1 pow1/2 sqrt-div
1×clear-num frac-2neg associate-*l/ fma-udef associate-/l* associate-/l/
Counts
4 → 98
Calls
4 calls:
40.0ms
(/ (* (/ M (/ (* 2 d) D)) h) l)
0.0ms
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (/ (* (/ M (/ (* 2 d) D)) h) l) (/ M (/ (* 2 d) D))) -1/2) (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))))
4.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d h))

series1.4s

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ (* (/ M (/ (* 2 d) D)) h) l)
1.2s
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (/ (* (/ M (/ (* 2 d) D)) h) l) (/ M (/ (* 2 d) D))) -1/2) (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))))
66.0ms
(sqrt (/ d h))
81.0ms
(sqrt (/ d h))

simplify2.5s

Counts
110 → 110
Iterations
IterNodes
done5000
22858
1657
0258

prune1.1s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 14.3b

regimes2.8s

Accuracy

0% (2.4b remaining)

Error of 16.4b against oracle of 14.0b and baseline of 16.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done38
138
030

end0.0ms

sample16.6s

Algorithm
intervals
Results
10.4s37893×body80nan
4.1s12792×body80valid