Details

Time bar (total: 38.3s)

sample444.0ms

Algorithm
intervals
Results
234.0ms1293×body80nan
134.0ms418×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
31271
2198
158
022

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.4b

localize80.0ms

Local error

Found 4 expressions with local error:

11.0b
(sqrt (/ d l))
11.0b
(sqrt (/ d l))
12.6b
(sqrt (/ d h))
12.6b
(sqrt (/ d h))

rewrite19.0ms

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:
4.0ms
(sqrt (/ d l))
4.0ms
(sqrt (/ d l))
4.0ms
(sqrt (/ d h))
4.0ms
(sqrt (/ d h))

series287.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (/ d l))
74.0ms
(sqrt (/ d l))
77.0ms
(sqrt (/ d h))
63.0ms
(sqrt (/ d h))

simplify2.2s

Counts
124 → 124
Iterations
IterNodes
done5000
32250
2660
1255
0143

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 18.4b

localize97.0ms

Local error

Found 4 expressions with local error:

10.2b
(* (/ M (/ (* 2 d) D)) (/ h l))
11.0b
(sqrt (/ d l))
12.6b
(sqrt (/ d h))
12.6b
(sqrt (/ d h))

rewrite73.0ms

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:
53.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
4.0ms
(sqrt (/ d l))
4.0ms
(sqrt (/ d h))
4.0ms
(sqrt (/ d h))

series329.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
68.0ms
(sqrt (/ d l))
75.0ms
(sqrt (/ d h))
85.0ms
(sqrt (/ d h))

simplify2.2s

Counts
170 → 170
Iterations
IterNodes
done5027
22839
1787
0312

prune2.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.8b

localize62.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ M (/ (* 2 d) D))
10.2b
(* (/ M (/ (* 2 d) D)) (/ h l))
12.6b
(sqrt (/ d h))
12.6b
(sqrt (/ d h))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
73×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
45×add-cbrt-cube add-exp-log
26×associate-*l* sqrt-prod
19×cbrt-undiv div-exp
13×associate-*r*
12×div-inv
11×prod-exp cbrt-unprod
8×pow1
7×associate-/r*
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×associate-/l*
2×sqrt-pow1 pow1/2 sqrt-div associate-/r/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 181
Calls
4 calls:
9.0ms
(/ M (/ (* 2 d) D))
58.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
8.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d h))

series232.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ M (/ (* 2 d) D))
75.0ms
(* (/ M (/ (* 2 d) D)) (/ h l))
64.0ms
(sqrt (/ d h))
62.0ms
(sqrt (/ d h))

simplify2.0s

Counts
193 → 193
Iterations
IterNodes
done5006
23141
1833
0299

prune2.3s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.6b

localize120.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ M (/ (* 2 d) D))
5.0b
(/ M (/ (* 2 d) D))
12.6b
(sqrt (/ d h))
12.6b
(sqrt (/ d h))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
56×add-sqr-sqrt
50×*-un-lft-identity add-cube-cbrt
26×sqrt-prod
22×add-cbrt-cube add-exp-log
14×associate-/r*
12×div-inv
10×cbrt-undiv div-exp
6×pow1 associate-/l*
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp associate-/r/ cbrt-unprod
Counts
4 → 158
Calls
4 calls:
19.0ms
(/ M (/ (* 2 d) D))
26.0ms
(/ M (/ (* 2 d) D))
7.0ms
(sqrt (/ d h))
7.0ms
(sqrt (/ d h))

series225.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ M (/ (* 2 d) D))
37.0ms
(/ M (/ (* 2 d) D))
71.0ms
(sqrt (/ d h))
82.0ms
(sqrt (/ d h))

simplify1.5s

Counts
170 → 170
Iterations
IterNodes
done5011
21417
1450
0196

prune1.8s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 12.7b

regimes2.6s

Accuracy

0% (2.2b remaining)

Error of 16.1b against oracle of 13.9b and baseline of 16.1b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done47
147
035

end0.0ms

sample16.6s

Algorithm
intervals
Results
10.9s38749×body80nan
3.6s12797×body80valid