Details

Time bar (total: 5.8m)

sample568.0ms

Algorithm
intervals
Results
349.0ms1088×body80nan
129.0ms411×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
49030
31081
2188
155
022

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.1b

localize44.0ms

Local error

Found 4 expressions with local error:

9.0b
(sqrt (/ d l))
9.0b
(sqrt (/ d l))
10.1b
(/ (/ (sqrt (/ d l)) (/ 2 (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))))) (/ l h))
12.5b
(sqrt (/ d h))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
16265×times-frac
5466×add-sqr-sqrt
5457×*-un-lft-identity add-cube-cbrt
4043×sqrt-prod
3808×frac-times
3375×associate-/r/
2464×associate-*l/ associate-*r/
908×div-inv
460×add-cbrt-cube add-exp-log
357×associate-/l*
270×cbrt-undiv div-exp
130×prod-exp cbrt-unprod
13×associate-/r*
7×pow1
6×rem-sqrt-square
4×insert-posit16 add-log-exp
3×sqrt-pow1 pow1/2 sqrt-div
1×clear-num frac-2neg associate-/l/
Counts
4 → 5214
Calls
4 calls:
2.0ms
(sqrt (/ d l))
2.0ms
(sqrt (/ d l))
72.0ms
(/ (/ (sqrt (/ d l)) (/ 2 (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))))) (/ l h))
2.0ms
(sqrt (/ d h))

series591.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sqrt (/ d l))
66.0ms
(sqrt (/ d l))
383.0ms
(/ (/ (sqrt (/ d l)) (/ 2 (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))))) (/ l h))
79.0ms
(sqrt (/ d h))

simplify1.1m

Counts
5226 → 5226
Iterations
IterNodes
128327
08555

prune1.8m

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 10.3b

localize84.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (/ M 2) (/ D d))
9.0b
(sqrt (/ d l))
9.0b
(sqrt (/ d l))
10.1b
(/ (/ (sqrt (/ d l)) (/ 2 (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))))) (/ l h))

rewrite495.0ms

Algorithm
rewrite-expression-head
Rules
16277×times-frac
5482×add-sqr-sqrt
5464×*-un-lft-identity add-cube-cbrt
4030×sqrt-prod
3809×frac-times
3375×associate-/r/
2465×associate-*l/ associate-*r/
909×div-inv
472×add-cbrt-cube add-exp-log
357×associate-/l*
274×cbrt-undiv div-exp
134×prod-exp cbrt-unprod
13×associate-/r* associate-*r* associate-*l*
8×pow1
4×rem-sqrt-square insert-posit16 add-log-exp unswap-sqr
2×sqrt-pow1 pow1/2 sqrt-div
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l/
Counts
4 → 5239
Calls
4 calls:
12.0ms
(* (/ M 2) (/ D d))
2.0ms
(sqrt (/ d l))
2.0ms
(sqrt (/ d l))
83.0ms
(/ (/ (sqrt (/ d l)) (/ 2 (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))))) (/ l h))

series500.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (/ M 2) (/ D d))
62.0ms
(sqrt (/ d l))
66.0ms
(sqrt (/ d l))
326.0ms
(/ (/ (sqrt (/ d l)) (/ 2 (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))))) (/ l h))

simplify41.6s

Counts
5251 → 5251
Iterations
IterNodes
128437
08562

prune1.5m

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 8.4b

localize116.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (/ (sqrt (* (cbrt d) (cbrt d))) (* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))) (* (/ (cbrt l) (cbrt h)) (/ (cbrt l) (cbrt h))))
6.1b
(* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))
6.4b
(* (/ M 2) (/ D d))
9.0b
(sqrt (/ d l))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
435×add-exp-log
375×times-frac
292×add-sqr-sqrt
275×add-cbrt-cube
261×cbrt-undiv div-exp
167×*-un-lft-identity add-cube-cbrt
102×prod-exp cbrt-unprod
98×cbrt-prod
96×associate-*r* associate-*l*
29×unswap-sqr
20×div-inv
15×sqrt-prod
11×associate-/r/ associate-/l*
9×pow1
5×frac-times associate-*l/ associate-*r/
4×insert-posit16 add-log-exp
2×rem-sqrt-square pow-prod-down *-commutative
1×clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/l/
Counts
4 → 447
Calls
4 calls:
27.0ms
(/ (/ (sqrt (* (cbrt d) (cbrt d))) (* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))) (* (/ (cbrt l) (cbrt h)) (/ (cbrt l) (cbrt h))))
23.0ms
(* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))
12.0ms
(* (/ M 2) (/ D d))
2.0ms
(sqrt (/ d l))

series688.0ms

Counts
4 → 12
Calls
4 calls:
414.0ms
(/ (/ (sqrt (* (cbrt d) (cbrt d))) (* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))) (* (/ (cbrt l) (cbrt h)) (/ (cbrt l) (cbrt h))))
190.0ms
(* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))
29.0ms
(* (/ M 2) (/ D d))
55.0ms
(sqrt (/ d l))

simplify1.3s

Counts
459 → 459
Iterations
IterNodes
12703
0809

prune10.4s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 7.1b

localize114.0ms

Local error

Found 4 expressions with local error:

3.9b
(sqrt (/ (cbrt d) l))
4.4b
(/ (/ (sqrt (* (cbrt d) (cbrt d))) (* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))) (* (/ (cbrt l) (cbrt h)) (/ (cbrt l) (cbrt h))))
6.1b
(* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))
6.4b
(* (/ M 2) (/ D d))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
435×add-exp-log
385×times-frac
300×add-sqr-sqrt
275×add-cbrt-cube
261×cbrt-undiv div-exp
173×*-un-lft-identity add-cube-cbrt
108×cbrt-prod
102×prod-exp cbrt-unprod
96×associate-*r* associate-*l*
29×unswap-sqr
24×sqrt-prod
20×div-inv
11×associate-/r/ associate-/l*
9×pow1
5×frac-times associate-*l/ associate-*r/
4×insert-posit16 add-log-exp
3×rem-sqrt-square
2×pow-prod-down *-commutative
1×clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/l/
Counts
4 → 457
Calls
4 calls:
2.0ms
(sqrt (/ (cbrt d) l))
29.0ms
(/ (/ (sqrt (* (cbrt d) (cbrt d))) (* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))) (* (/ (cbrt l) (cbrt h)) (/ (cbrt l) (cbrt h))))
22.0ms
(* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))
15.0ms
(* (/ M 2) (/ D d))

series749.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (/ (cbrt d) l))
402.0ms
(/ (/ (sqrt (* (cbrt d) (cbrt d))) (* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))) (* (/ (cbrt l) (cbrt h)) (/ (cbrt l) (cbrt h))))
185.0ms
(* (/ (cbrt 2) (/ M 2)) (/ (cbrt 2) (/ D d)))
29.0ms
(* (/ M 2) (/ D d))

simplify1.3s

Counts
469 → 469
Iterations
IterNodes
12856
0863

prune10.0s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 6.8b

regimes2.0s

Accuracy

0% (4.5b remaining)

Error of 11.1b against oracle of 6.6b and baseline of 11.1b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
250
150
043

end0.0ms

sample15.3s

Algorithm
intervals
Results
9.5s37686×body80nan
3.9s12698×body80valid