Details

Time bar (total: 53.5s)

sample709.0ms

Algorithm
intervals
Results
454.0ms1293×body80nan
144.0ms396×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
31271
2198
158
022

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.8b

localize76.0ms

Local error

Found 4 expressions with local error:

10.7b
(sqrt (/ d l))
10.7b
(sqrt (/ d l))
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))

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 l))
2.0ms
(sqrt (/ d l))
2.0ms
(sqrt (/ d h))
2.0ms
(sqrt (/ d h))

series229.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (/ d l))
74.0ms
(sqrt (/ d l))
54.0ms
(sqrt (/ d h))
50.0ms
(sqrt (/ d h))

simplify2.4s

Counts
124 → 124
Iterations
IterNodes
done5000
32250
2660
1255
0143

prune1.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 18.6b

localize120.0ms

Local error

Found 4 expressions with local error:

9.1b
(* (/ M (/ (* 2 d) D)) (/ h l))
10.7b
(sqrt (/ d l))
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))

rewrite69.0ms

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:
40.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
14.0ms
(sqrt (/ d l))
5.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d h))

series307.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
67.0ms
(sqrt (/ d l))
77.0ms
(sqrt (/ d h))
59.0ms
(sqrt (/ d h))

simplify2.5s

Counts
170 → 170
Iterations
IterNodes
done5027
22839
1787
0312

prune2.2s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.9b

localize141.0ms

Local error

Found 4 expressions with local error:

6.1b
(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) (* (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))) (sqrt (/ d h))))
9.1b
(* (/ M (/ (* 2 d) D)) (/ h l))
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))

rewrite36.0ms

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) (* (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))) (sqrt (/ d h))))
25.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
2.0ms
(sqrt (/ d h))
4.0ms
(sqrt (/ d h))

series2.4s

Counts
4 → 12
Calls
4 calls:
2.2s
(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) (* (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))) (sqrt (/ d h))))
115.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
64.0ms
(sqrt (/ d h))
59.0ms
(sqrt (/ d h))

simplify2.9s

Counts
153 → 153
Iterations
IterNodes
done5012
23843
1909
0335

prune2.0s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.0b

localize175.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ M (/ (* 2 d) D))
6.1b
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (* (* (/ M (/ (* 2 d) D)) (/ (* (cbrt h) (cbrt h)) 1)) (/ (cbrt h) l)) (/ M (/ (* 2 d) D))) -1/2) (* (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))) (sqrt (/ d h))))
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
40×add-sqr-sqrt
34×*-un-lft-identity add-cube-cbrt
26×sqrt-prod
13×add-cbrt-cube add-exp-log
7×associate-/r* div-inv
6×pow1
5×cbrt-undiv div-exp
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×sqrt-pow1 pow1/2 sqrt-div
1×clear-num frac-2neg prod-exp associate-/r/ cbrt-unprod fma-udef
Counts
4 → 118
Calls
4 calls:
21.0ms
(/ M (/ (* 2 d) D))
0.0ms
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (* (* (/ M (/ (* 2 d) D)) (/ (* (cbrt h) (cbrt h)) 1)) (/ (cbrt h) l)) (/ M (/ (* 2 d) D))) -1/2) (* (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))) (sqrt (/ d h))))
4.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d h))

series2.4s

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ M (/ (* 2 d) D))
2.2s
(fma (* (* (fabs (/ (cbrt d) (cbrt l))) (sqrt (/ (cbrt d) (cbrt l)))) (sqrt (/ d h))) (* (* (* (* (/ M (/ (* 2 d) D)) (/ (* (cbrt h) (cbrt h)) 1)) (/ (cbrt h) l)) (/ M (/ (* 2 d) D))) -1/2) (* (* (sqrt (/ 1 (* (cbrt l) (cbrt l)))) (sqrt (/ d (cbrt l)))) (sqrt (/ d h))))
67.0ms
(sqrt (/ d h))
61.0ms
(sqrt (/ d h))

simplify2.5s

Counts
130 → 130
Iterations
IterNodes
done5002
22533
1696
0284

prune1.9s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 12.0b

regimes3.3s

Accuracy

0% (3.4b remaining)

Error of 17.7b against oracle of 14.3b and baseline of 17.7b

bsearch0.0ms

simplify16.0ms

Iterations
IterNodes
done52
152
040

end0.0ms

sample24.1s

Algorithm
intervals
Results
15.5s37793×body80nan
5.9s12766×body80valid