Details

Time bar (total: 55.4s)

sample454.0ms

Algorithm
intervals
Results
238.0ms1103×body80nan
87.0ms408×body80valid

simplify3.7s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize74.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ (* M D) (* 2.0 d))
9.5b
(pow (/ d h) (/ 1.0 2.0))
12.5b
(pow (/ d l) (/ 1.0 2.0))
14.5b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite96.0ms

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:
13.0ms
(/ (* M D) (* 2.0 d))
8.0ms
(pow (/ d h) (/ 1.0 2.0))
9.0ms
(pow (/ d l) (/ 1.0 2.0))
59.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series1.3s

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (* M D) (* 2.0 d))
97.0ms
(pow (/ d h) (/ 1.0 2.0))
120.0ms
(pow (/ d l) (/ 1.0 2.0))
1.0s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify2.3s

Counts
171 → 171
Iterations
IterNodes
done5000
24013
11160
0384

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.2b

localize141.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (* (* (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))))
5.5b
(/ (* M D) (* 2.0 d))
12.5b
(pow (/ d l) (/ 1.0 2.0))
14.5b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite479.0ms

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:
354.0ms
(* (* (* (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))
7.0ms
(pow (/ d l) (/ 1.0 2.0))
59.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series2.5s

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))))
45.0ms
(/ (* M D) (* 2.0 d))
96.0ms
(pow (/ d l) (/ 1.0 2.0))
1.0s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify2.9s

Counts
304 → 304
Iterations
IterNodes
done5000
11756
0606

prune1.8s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 8.8b

localize244.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))
5.0b
(* (* (* (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) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
5.5b
(/ (* M D) (* d 2.0))
12.5b
(pow (/ d l) (/ 1.0 2.0))

rewrite492.0ms

Algorithm
rewrite-expression-head
Rules
818×add-exp-log
567×prod-exp
280×pow-exp
187×div-exp
94×pow-to-exp
55×times-frac
44×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
43×associate-*r*
36×cbrt-prod add-cbrt-cube
32×rec-exp 1-exp
20×cbrt-unprod
13×pow-unpow unpow-prod-down
9×pow1 cbrt-undiv
5×associate-*r/
4×div-inv add-log-exp
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-- associate-*l/ flip-- associate-/l* sqr-pow
Counts
4 → 319
Calls
4 calls:
87.0ms
(* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))
325.0ms
(* (* (* (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) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
19.0ms
(/ (* M D) (* d 2.0))
13.0ms
(pow (/ d l) (/ 1.0 2.0))

series2.1s

Counts
4 → 12
Calls
4 calls:
780.0ms
(* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))
1.2s
(* (* (* (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) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
40.0ms
(/ (* M D) (* d 2.0))
77.0ms
(pow (/ d l) (/ 1.0 2.0))

simplify2.6s

Counts
331 → 331
Iterations
IterNodes
done5001
11996
0679

prune2.3s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 7.7b

localize211.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))
3.9b
(pow (/ (cbrt d) l) (/ 1.0 2.0))
5.0b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (cbrt d) (cbrt d)) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
5.5b
(/ (* M D) (* d 2.0))

rewrite789.0ms

Algorithm
rewrite-expression-head
Rules
3529×add-exp-log
2893×prod-exp
1396×pow-exp
623×div-exp
522×pow-to-exp
136×rec-exp 1-exp
64×times-frac
50×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
45×cbrt-prod add-cbrt-cube
43×associate-*r*
27×cbrt-unprod
22×unpow-prod-down
13×pow-unpow
12×pow1
9×cbrt-undiv
5×associate-*r/
4×pow-prod-down div-inv add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
1×frac-times clear-num associate-/r* pow-pow frac-2neg flip3-- associate-*l/ flip-- associate-/l* sqr-pow
Counts
4 → 812
Calls
4 calls:
96.0ms
(* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))
15.0ms
(pow (/ (cbrt d) l) (/ 1.0 2.0))
523.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (cbrt d) (cbrt d)) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
19.0ms
(/ (* M D) (* d 2.0))

series2.1s

Counts
4 → 12
Calls
4 calls:
793.0ms
(* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))
240.0ms
(pow (/ (cbrt d) l) (/ 1.0 2.0))
1.0s
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (cbrt d) (cbrt d)) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (* (* (pow (/ (* M D) (* d 2.0)) 2.0) (/ (cbrt h) (cbrt l))) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
52.0ms
(/ (* M D) (* d 2.0))

simplify4.0s

Counts
824 → 824
Iterations
IterNodes
done5000
13032
01071

prune2.3s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 6.4b

regimes2.6s

Accuracy

0% (6.8b remaining)

Error of 14.0b against oracle of 7.2b and baseline of 14.0b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done54
154
041

end0.0ms

sample18.4s

Algorithm
intervals
Results
11.0s38309×body80nan
3.5s12742×body80valid