Details

Time bar (total: 1.3m)

sample554.0ms

Algorithm
intervals
Results
292.0ms1360×body80nan
148.0ms435×body80valid

simplify3.9s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.6b

localize64.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* M D) (* 2.0 d))
8.8b
(pow (/ d h) (/ 1.0 2.0))
13.0b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))
13.2b
(pow (/ d l) (/ 1.0 2.0))

rewrite154.0ms

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:
19.0ms
(/ (* M D) (* 2.0 d))
15.0ms
(pow (/ d h) (/ 1.0 2.0))
91.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))
13.0ms
(pow (/ d l) (/ 1.0 2.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* M D) (* 2.0 d))
90.0ms
(pow (/ d h) (/ 1.0 2.0))
1.1s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))
99.0ms
(pow (/ d l) (/ 1.0 2.0))

simplify2.5s

Counts
171 → 171
Iterations
IterNodes
done5003
24000
11165
0384

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.9b

localize108.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* (pow (/ d h) (/ 1.0 2.0)) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
5.0b
(/ (* M D) (* 2.0 d))
8.8b
(pow (/ d h) (/ 1.0 2.0))
13.0b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
738×add-exp-log
487×prod-exp
216×pow-exp
171×div-exp
78×pow-to-exp
46×add-cbrt-cube
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 → 260
Calls
4 calls:
307.0ms
(* (* (pow (/ d h) (/ 1.0 2.0)) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt 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))
6.0ms
(pow (/ d h) (/ 1.0 2.0))
59.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series2.3s

Counts
4 → 12
Calls
4 calls:
737.0ms
(* (* (pow (/ d h) (/ 1.0 2.0)) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
36.0ms
(/ (* M D) (* 2.0 d))
78.0ms
(pow (/ d h) (/ 1.0 2.0))
1.4s
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify1.8s

Counts
272 → 272
Iterations
IterNodes
done5000
11623
0546

prune1.4s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 7.4b

localize190.0ms

Local error

Found 4 expressions with local error:

3.4b
(pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0))
4.7b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
5.0b
(/ (* M D) (* 2.0 d))
13.0b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite996.0ms

Algorithm
rewrite-expression-head
Rules
6975×add-exp-log
5249×prod-exp
2617×pow-exp
1629×div-exp
789×pow-to-exp
232×rec-exp 1-exp
55×add-cbrt-cube
27×cbrt-unprod
19×add-sqr-sqrt pow1 *-un-lft-identity times-frac add-cube-cbrt
16×associate-*r*
13×pow-unpow
9×cbrt-undiv
6×pow-pow
5×pow-prod-down
4×add-log-exp
3×associate-*l/ associate-*r/ div-inv
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
1×pow2 frac-times clear-num associate-/r* unpow-prod-down frac-2neg pow-plus flip3-- pow-sqr pow-prod-up flip-- associate-/l* sqr-pow
Counts
4 → 1216
Calls
4 calls:
25.0ms
(pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0))
624.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt 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))
69.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series2.3s

Counts
4 → 12
Calls
4 calls:
156.0ms
(pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0))
1.2s
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
32.0ms
(/ (* M D) (* 2.0 d))
941.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

simplify13.3s

Counts
1228 → 1228
Iterations
IterNodes
done5000
13643
01423

prune2.2s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 6.6b

localize272.0ms

Local error

Found 4 expressions with local error:

3.4b
(pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0))
4.7b
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
5.0b
(/ (* M D) (* 2.0 d))
8.6b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
7275×add-exp-log
5420×prod-exp
2647×pow-exp
1719×div-exp
795×pow-to-exp
232×rec-exp 1-exp
79×add-cbrt-cube
54×cbrt-unprod
21×cbrt-undiv
19×pow1
13×add-sqr-sqrt pow-unpow *-un-lft-identity add-cube-cbrt
11×times-frac
8×associate-*r*
6×pow-pow
5×pow-prod-down
4×add-log-exp
3×associate-*l/ associate-*r/ div-inv
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
1×pow2 frac-times clear-num associate-/r* unpow-prod-down frac-2neg pow-plus flip3-- pow-sqr pow-prod-up flip-- associate-/l* sqr-pow
Counts
4 → 1262
Calls
4 calls:
17.0ms
(pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0))
579.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
20.0ms
(/ (* M D) (* 2.0 d))
99.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l))))

series2.4s

Counts
4 → 12
Calls
4 calls:
195.0ms
(pow (* (/ (cbrt d) (cbrt l)) (/ (cbrt 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 (* (/ (cbrt d) (cbrt l)) (/ (cbrt d) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
37.0ms
(/ (* M D) (* 2.0 d))
876.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l))))

simplify22.4s

Counts
1274 → 1274
Iterations
IterNodes
done5001
13990
01482

prune1.7s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 6.3b

regimes2.0s

Accuracy

0% (6.7b remaining)

Error of 15.0b against oracle of 8.3b and baseline of 15.0b

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done46
146
035

end0.0ms

sample15.1s

Algorithm
intervals
Results
9.0s38365×body80nan
3.6s12777×body80valid