Details

Time bar (total: 1.3m)

sample414.0ms

Algorithm
intervals
Results
184.0ms1105×body80nan
141.0ms394×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
43841
3645
2170
154
022

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize106.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (* M D) (* 2.0 d))
10.2b
(pow (/ d h) (/ 1.0 2.0))
10.2b
(pow (/ d l) (/ 1.0 2.0))
12.5b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
167×add-exp-log
78×prod-exp
51×div-exp
46×times-frac
39×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×add-cbrt-cube
26×pow-unpow unpow-prod-down
24×pow-exp
14×cbrt-unprod
13×associate-*r*
9×cbrt-undiv
8×pow1
6×pow-to-exp div-inv
4×add-log-exp
3×associate-*l/
2×pow-pow sqr-pow
1×frac-times clear-num associate-/r* frac-2neg associate-*l* pow-prod-down associate-*r/ *-commutative associate-/l*
Counts
4 → 159
Calls
4 calls:
18.0ms
(/ (* M D) (* 2.0 d))
12.0ms
(pow (/ d h) (/ 1.0 2.0))
12.0ms
(pow (/ d l) (/ 1.0 2.0))
95.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series1.3s

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* M D) (* 2.0 d))
105.0ms
(pow (/ d h) (/ 1.0 2.0))
87.0ms
(pow (/ d l) (/ 1.0 2.0))
1.0s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify2.5s

Counts
171 → 171
Iterations
IterNodes
done5000
24013
11160
0384

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.9b

localize143.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
5.3b
(/ (* M D) (* 2.0 d))
10.2b
(pow (/ d l) (/ 1.0 2.0))
12.5b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
818×add-exp-log
567×prod-exp
280×pow-exp
187×div-exp
94×pow-to-exp
46×add-cbrt-cube
32×rec-exp 1-exp
28×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
20×cbrt-unprod
16×associate-*r*
13×pow-unpow unpow-prod-down
9×pow1 cbrt-undiv
4×div-inv add-log-exp
3×associate-*l/ associate-*r/
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l* pow-prod-down *-commutative
1×frac-times clear-num associate-/r* pow-pow frac-2neg flip3-- flip-- associate-/l* sqr-pow
Counts
4 → 292
Calls
4 calls:
226.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
10.0ms
(/ (* M D) (* 2.0 d))
8.0ms
(pow (/ d l) (/ 1.0 2.0))
50.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
49.0ms
(/ (* M D) (* 2.0 d))
105.0ms
(pow (/ d l) (/ 1.0 2.0))
1000.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify2.5s

Counts
304 → 304
Iterations
IterNodes
done5000
11756
0606

prune2.2s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 6.2b

localize209.0ms

Local error

Found 4 expressions with local error:

3.2b
(pow (/ d (cbrt l)) (/ 1.0 2.0))
4.8b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
5.3b
(/ (* M D) (* 2.0 d))
12.5b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite953.0ms

Algorithm
rewrite-expression-head
Rules
8121×add-exp-log
6369×prod-exp
3426×pow-exp
1900×div-exp
967×pow-to-exp
592×rec-exp 1-exp
55×add-cbrt-cube
37×times-frac
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-unprod
22×unpow-prod-down
16×associate-*r*
13×pow-unpow
12×pow1
9×cbrt-prod cbrt-undiv
4×pow-prod-down div-inv add-log-exp
3×associate-*l/ associate-*r/
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
1×frac-times clear-num associate-/r* pow-pow frac-2neg flip3-- flip-- associate-/l* sqr-pow
Counts
4 → 1525
Calls
4 calls:
11.0ms
(pow (/ d (cbrt l)) (/ 1.0 2.0))
538.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
19.0ms
(/ (* M D) (* 2.0 d))
56.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series2.6s

Counts
4 → 12
Calls
4 calls:
238.0ms
(pow (/ d (cbrt l)) (/ 1.0 2.0))
1.3s
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
35.0ms
(/ (* M D) (* 2.0 d))
1.1s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify14.3s

Counts
1537 → 1537
Iterations
IterNodes
done5001
14280
01798

prune2.6s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 5.0b

localize263.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)))
5.3b
(/ (* M D) (* 2.0 d))
5.6b
(/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)
6.5b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
8120×add-exp-log
6369×prod-exp
3424×pow-exp
1900×div-exp
966×pow-to-exp
592×rec-exp 1-exp
57×add-cbrt-cube
27×cbrt-unprod
11×pow1
10×add-sqr-sqrt cbrt-undiv *-un-lft-identity
8×associate-*r* add-cube-cbrt
4×associate-/r* times-frac pow-prod-down associate-*l/ add-log-exp
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in associate-*l* associate-*r/ *-commutative div-inv associate-/l*
1×flip3-- flip-- distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 1488
Calls
4 calls:
568.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)))
19.0ms
(/ (* M D) (* 2.0 d))
53.0ms
(/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)
71.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h)

series4.1s

Counts
4 → 12
Calls
4 calls:
1.8s
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)))
43.0ms
(/ (* M D) (* 2.0 d))
1.1s
(/ (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) l)
1.0s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h)

simplify14.1s

Counts
1500 → 1500
Iterations
IterNodes
done5001
14151
01680

prune1.4s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 4.4b

regimes2.9s

Accuracy

0% (8.2b remaining)

Error of 16.3b against oracle of 8.0b and baseline of 16.3b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done42
142
033

end0.0ms

sample16.1s

Algorithm
intervals
Results
9.7s37626×body80nan
3.7s12793×body80valid