Details

Time bar (total: 21.9s)

sample92.0ms

Algorithm
intervals
Results
34.0ms298×body80valid
11.0ms97×body80nan

simplify968.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize35.0ms

Local error

Found 4 expressions with local error:

2.2b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
4.5b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.5b
(/ (* M D) (* 2.0 d))
10.8b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
35×add-sqr-sqrt
27×prod-exp
23×add-cbrt-cube
19×div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
14×times-frac
12×associate-*l*
10×pow-exp
8×unswap-sqr
7×pow1 unpow-prod-down sqrt-prod cbrt-unprod
5×cbrt-undiv
4×sqrt-div add-log-exp
3×associate-*r/ div-inv sqr-pow
2×pow-to-exp flip3-- *-commutative flip--
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r* associate-/l*
Counts
4 → 113
Calls
4 calls:
32.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
6.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
23.0ms
(/ (* M D) (* 2.0 d))
63.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series2.3s

Counts
4 → 12
Calls
4 calls:
653.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
580.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
40.0ms
(/ (* M D) (* 2.0 d))
1.0s
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify1.3s

Counts
125 → 125

prune644.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.1b

localize27.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
4.5b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
4.8b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
5.5b
(/ (* M D) (* 2.0 d))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
26×prod-exp
23×add-cbrt-cube
20×div-exp
18×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt pow-exp
9×associate-*l*
6×cbrt-undiv unpow-prod-down cbrt-unprod
5×pow1 times-frac sqrt-prod
4×associate-/r* add-log-exp
3×associate-*r* div-inv unswap-sqr
2×pow-to-exp frac-2neg sqrt-div clear-num associate-/l* sqr-pow
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
39.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
18.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
27.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
28.0ms
(/ (* M D) (* 2.0 d))

series2.6s

Counts
4 → 12
Calls
4 calls:
995.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
543.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
1.0s
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
35.0ms
(/ (* M D) (* 2.0 d))

simplify1.2s

Counts
108 → 108

prune525.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.5b

localize47.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
5.4b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.5b
(/ (* M D) (* 2.0 d))
5.5b
(/ (* M D) (* 2.0 d))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
373×add-exp-log
184×prod-exp
129×div-exp
80×pow-exp
39×add-cbrt-cube
16×pow-to-exp
14×add-sqr-sqrt
12×cbrt-unprod
11×cbrt-undiv
9×add-cube-cbrt *-un-lft-identity associate-*l*
6×unpow-prod-down times-frac
5×associate-/r*
4×pow1 div-inv add-log-exp
3×frac-2neg associate-*r* clear-num associate-/l* unswap-sqr
2×sqr-pow
1×*-commutative
Counts
4 → 150
Calls
4 calls:
63.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
47.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
14.0ms
(/ (* M D) (* 2.0 d))
14.0ms
(/ (* M D) (* 2.0 d))

series2.0s

Counts
4 → 12
Calls
4 calls:
874.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) l)
1.0s
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
41.0ms
(/ (* M D) (* 2.0 d))
54.0ms
(/ (* M D) (* 2.0 d))

simplify1.3s

Counts
162 → 162

prune626.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.3b

localize32.0ms

Local error

Found 4 expressions with local error:

4.5b
(sqrt (- 1.0 (* (/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (cbrt l) (cbrt l))) (/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (cbrt l)))))
5.4b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.5b
(/ (* M D) (* 2.0 d))
5.5b
(/ (* M D) (* 2.0 d))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
30×add-cbrt-cube
19×prod-exp
14×add-sqr-sqrt
12×div-exp
9×associate-*l* cbrt-unprod
8×cbrt-undiv add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 pow-exp
4×add-log-exp
3×times-frac associate-*r* sqrt-prod div-inv unswap-sqr
2×frac-2neg sqrt-div clear-num associate-/r* associate-/l* sqr-pow
1×pow-to-exp rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip--
Counts
4 → 88
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (* (/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (cbrt l) (cbrt l))) (/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (cbrt l)))))
34.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
16.0ms
(/ (* M D) (* 2.0 d))
24.0ms
(/ (* M D) (* 2.0 d))

series1.8s

Counts
4 → 12
Calls
4 calls:
578.0ms
(sqrt (- 1.0 (* (/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (cbrt l) (cbrt l))) (/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (cbrt l)))))
1.2s
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
45.0ms
(/ (* M D) (* 2.0 d))
40.0ms
(/ (* M D) (* 2.0 d))

simplify1.1s

Counts
100 → 100

prune519.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.3b

regimes597.0ms

Accuracy

0% (1.3b remaining)

Error of 8.4b against oracle of 7.1b and baseline of 8.4b

bsearch0.0ms

simplify1.1s

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s9350×body80valid
366.0ms3161×body80nan