Details

Time bar (total: 1.8m)

sample737.0ms

Algorithm
intervals
Results
472.0ms1271×body80nan
173.0ms438×body80valid

simplify4.6s

Counts
1 → 1

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.5b

localize124.0ms

Local error

Found 4 expressions with local error:

12.5b
(pow (/ d l) (/ 1 2))
11.8b
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
10.1b
(pow (/ d h) (/ 1 2))
6.3b
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
331×add-exp-log
179×prod-exp
99×div-exp
60×pow-exp
45×times-frac
40×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×add-cbrt-cube
26×pow-unpow unpow-prod-down
18×pow-to-exp
16×associate-*r*
14×rec-exp 1-exp
13×cbrt-unprod
10×pow1
5×cbrt-undiv div-inv
4×insert-posit16 add-log-exp
3×associate-*l/ associate-*r/
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in associate-*l* pow-prod-down *-commutative sqr-pow
1×frac-times flip3-- flip--
Counts
4 → 208
Calls
4 calls:
Slowest
68.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
56.0ms
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
6.0ms
(pow (/ d h) (/ 1 2))
5.0ms
(pow (/ d l) (/ 1 2))

series680.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
397.0ms
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
103.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
93.0ms
(pow (/ d h) (/ 1 2))
88.0ms
(pow (/ d l) (/ 1 2))

simplify1.9s

Counts
220 → 220

prune5.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 11.2b

localize129.0ms

Local error

Found 4 expressions with local error:

12.5b
(pow (/ d l) (/ 1 2))
11.8b
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
6.3b
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
4.8b
(/ (* M D) (* 2 d))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
864×add-exp-log
559×prod-exp
236×pow-exp
215×div-exp
82×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*
14×rec-exp 1-exp
13×pow-unpow unpow-prod-down
9×pow1 cbrt-undiv
4×insert-posit16 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:
Slowest
403.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
130.0ms
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
11.0ms
(/ (* M D) (* 2 d))
5.0ms
(pow (/ d l) (/ 1 2))

series667.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
440.0ms
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
101.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
84.0ms
(pow (/ d l) (/ 1 2))
41.0ms
(/ (* M D) (* 2 d))

simplify758.0ms

Counts
304 → 304

prune8.2s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 10.9b

localize149.0ms

Local error

Found 4 expressions with local error:

11.8b
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
6.3b
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (pow (* (cbrt d) (cbrt d)) (/ 1 2)) (pow (/ (cbrt d) l) (/ 1 2)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
4.8b
(/ (* M D) (* 2 d))
3.9b
(pow (/ (cbrt d) l) (/ 1 2))

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
3187×add-exp-log
2465×prod-exp
1084×pow-exp
601×div-exp
428×pow-to-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*
14×rec-exp 1-exp
13×pow-unpow
12×pow1
9×cbrt-prod cbrt-undiv
4×pow-prod-down insert-posit16 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 → 681
Calls
4 calls:
Slowest
252.0ms
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (pow (* (cbrt d) (cbrt d)) (/ 1 2)) (pow (/ (cbrt d) l) (/ 1 2)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
44.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
12.0ms
(/ (* M D) (* 2 d))
5.0ms
(pow (/ (cbrt d) l) (/ 1 2))

series812.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
449.0ms
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (pow (* (cbrt d) (cbrt d)) (/ 1 2)) (pow (/ (cbrt d) l) (/ 1 2)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
212.0ms
(pow (/ (cbrt d) l) (/ 1 2))
104.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
46.0ms
(/ (* M D) (* 2 d))

simplify2.1s

Counts
693 → 693

prune21.1s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.4b

localize175.0ms

Local error

Found 4 expressions with local error:

6.9b
(* (* (/ (cbrt h) (cbrt l)) (/ (cbrt h) (cbrt l))) (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2))
6.3b
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (pow (* (cbrt d) (cbrt d)) (/ 1 2)) (pow (/ (cbrt d) l) (/ 1 2)))) (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (cbrt h) (cbrt l))) (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2)) (/ (cbrt h) (cbrt l)))))
4.8b
(/ (* M D) (* d 2))
4.8b
(/ (* M D) (* d 2))

rewrite546.0ms

Algorithm
rewrite-expression-head
Rules
4066×add-exp-log
2891×prod-exp
1042×pow-exp
971×add-cbrt-cube
953×div-exp
589×cbrt-unprod
446×cbrt-undiv
419×pow-to-exp
14×pow1
10×associate-*r*
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×times-frac pow-prod-down
5×frac-times associate-*l/ associate-*r/
4×insert-posit16 add-log-exp
3×div-inv
2×distribute-rgt-in clear-num associate-/r* sub-neg frac-2neg distribute-lft-in associate-*l* *-commutative associate-/l* unswap-sqr
1×flip3-- flip--
Counts
4 → 862
Calls
4 calls:
Slowest
253.0ms
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (pow (* (cbrt d) (cbrt d)) (/ 1 2)) (pow (/ (cbrt d) l) (/ 1 2)))) (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (cbrt h) (cbrt l))) (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2)) (/ (cbrt h) (cbrt l)))))
163.0ms
(* (* (/ (cbrt h) (cbrt l)) (/ (cbrt h) (cbrt l))) (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2))
23.0ms
(/ (* M D) (* d 2))
22.0ms
(/ (* M D) (* d 2))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
543.0ms
(* (* (/ (cbrt h) (cbrt l)) (/ (cbrt h) (cbrt l))) (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2))
441.0ms
(* (* (* (pow (* (/ (cbrt d) (cbrt h)) (/ (cbrt d) (cbrt h))) (/ 1 2)) (pow (/ (cbrt d) (cbrt h)) (/ 1 2))) (* (pow (* (cbrt d) (cbrt d)) (/ 1 2)) (pow (/ (cbrt d) l) (/ 1 2)))) (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (cbrt h) (cbrt l))) (/ (* (/ (* M D) (* d 2)) (/ (* M D) (* d 2))) 2)) (/ (cbrt h) (cbrt l)))))
50.0ms
(/ (* M D) (* d 2))
46.0ms
(/ (* M D) (* d 2))

simplify4.1s

Counts
874 → 874

prune28.9s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 8.0b

regimes4.4s

Accuracy

0% (3.8b remaining)

Error of 12.2b against oracle of 8.5b and baseline of 12.2b

bsearch9.0ms

end0.0ms

sample22.9s

Algorithm
intervals
Results
15.5s39203×body80nan
5.0s12813×body80valid