Details

Time bar (total: 1.1m)

sample597.0ms

Algorithm
intervals
Results
371.0ms1135×body80nan
130.0ms393×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
48898
31142
2196
158
022

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.6b

localize43.0ms

Local error

Found 4 expressions with local error:

12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))
12.7b
(sqrt (/ d l))
12.7b
(sqrt (/ d l))

rewrite12.0ms

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:
3.0ms
(sqrt (/ d h))
2.0ms
(sqrt (/ d h))
2.0ms
(sqrt (/ d l))
2.0ms
(sqrt (/ d l))

series236.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (/ d h))
59.0ms
(sqrt (/ d h))
71.0ms
(sqrt (/ d l))
55.0ms
(sqrt (/ d l))

simplify3.5s

Counts
124 → 124
Iterations
IterNodes
44999
31558
2575
1255
0143

prune2.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 19.0b

localize91.0ms

Local error

Found 4 expressions with local error:

10.9b
(* (/ M (/ 2 (/ D d))) (/ h l))
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))
12.7b
(sqrt (/ d l))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
385×times-frac
223×add-sqr-sqrt
182×*-un-lft-identity add-cube-cbrt
137×associate-*l*
39×sqrt-prod
36×add-cbrt-cube add-exp-log
17×div-inv
16×cbrt-undiv div-exp
13×associate-*r*
9×pow1
8×prod-exp cbrt-unprod unswap-sqr
6×rem-sqrt-square
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 sqrt-div
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 273
Calls
4 calls:
44.0ms
(* (/ M (/ 2 (/ D d))) (/ h l))
5.0ms
(sqrt (/ d h))
5.0ms
(sqrt (/ d h))
4.0ms
(sqrt (/ d l))

series330.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (/ M (/ 2 (/ D d))) (/ h l))
79.0ms
(sqrt (/ d h))
82.0ms
(sqrt (/ d h))
50.0ms
(sqrt (/ d l))

simplify1.8s

Counts
285 → 285
Iterations
IterNodes
26170
11586
0559

prune7.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.0b

localize65.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ M (/ 2 (/ D d)))
10.9b
(* (/ M (/ 2 (/ D d))) (/ h l))
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
398×add-sqr-sqrt
360×*-un-lft-identity add-cube-cbrt
137×associate-*l*
45×add-cbrt-cube add-exp-log
44×associate-/r*
33×div-inv
26×sqrt-prod
22×cbrt-undiv div-exp
13×associate-*r*
9×associate-/r/
8×pow1 prod-exp cbrt-unprod unswap-sqr
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×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 444
Calls
4 calls:
9.0ms
(/ M (/ 2 (/ D d)))
33.0ms
(* (/ M (/ 2 (/ D d))) (/ h l))
3.0ms
(sqrt (/ d h))
2.0ms
(sqrt (/ d h))

series239.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ M (/ 2 (/ D d)))
70.0ms
(* (/ M (/ 2 (/ D d))) (/ h l))
54.0ms
(sqrt (/ d h))
80.0ms
(sqrt (/ d h))

simplify855.0ms

Counts
456 → 456
Iterations
IterNodes
12290
0731

prune11.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 13.3b

localize69.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (* (/ M (/ 2 (/ D d))) h) (/ 1 l))
7.0b
(* (/ M (/ 2 (/ D d))) h)
12.0b
(sqrt (/ d h))
12.0b
(sqrt (/ d h))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
365×times-frac
196×add-sqr-sqrt
176×*-un-lft-identity add-cube-cbrt
138×associate-*l*
103×add-exp-log
63×add-cbrt-cube
40×div-exp prod-exp
26×sqrt-prod
23×cbrt-undiv
22×cbrt-unprod
16×associate-*r* div-inv
13×pow1
5×rec-exp 1-exp
4×expm1-log1p-u rem-sqrt-square pow-prod-down associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×sqrt-pow1 pow1/2 sqrt-div *-commutative
1×frac-times associate-*r/ un-div-inv
Counts
4 → 282
Calls
4 calls:
56.0ms
(* (* (/ M (/ 2 (/ D d))) h) (/ 1 l))
25.0ms
(* (/ M (/ 2 (/ D d))) h)
2.0ms
(sqrt (/ d h))
2.0ms
(sqrt (/ d h))

series296.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (* (/ M (/ 2 (/ D d))) h) (/ 1 l))
72.0ms
(* (/ M (/ 2 (/ D d))) h)
69.0ms
(sqrt (/ d h))
62.0ms
(sqrt (/ d h))

simplify2.3s

Counts
294 → 294
Iterations
IterNodes
25322
11359
0545

prune6.9s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 12.5b

regimes2.6s

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
241
141
031

end0.0ms

sample23.7s

Algorithm
intervals
Results
15.7s38187×body80nan
5.5s12851×body80valid