Details

Time bar (total: 57.2s)

sample110.0ms

Algorithm
intervals
Results
66.0ms299×body80valid
15.0ms81×body80nan

simplify1.6s

Counts
1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize29.0ms

Local error

Found 4 expressions with local error:

9.5b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
5.4b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
368×add-cbrt-cube add-exp-log
190×prod-exp cbrt-unprod
114×cbrt-undiv div-exp
16×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity times-frac add-cube-cbrt
10×pow1
5×frac-times associate-*l/
4×insert-posit16 add-log-exp
3×pow-prod-down associate-*r/ sqrt-prod div-inv
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l* unswap-sqr
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-*l* *-commutative flip--
Counts
4 → 198
Calls
4 calls:
Slowest
170.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
12.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))
4.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series403.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
190.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
129.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
43.0ms
(/ (* M D) (* 2 d))
40.0ms
(/ (* M D) (* 2 d))

simplify2.5s

Counts
210 → 210

prune3.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.0b

localize44.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
5.4b
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
4.3b
(* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))

rewrite750.0ms

Algorithm
rewrite-expression-head
Rules
2244×add-exp-log
1560×add-cbrt-cube
1286×prod-exp cbrt-unprod
702×cbrt-undiv div-exp
49×frac-times
42×times-frac
40×cbrt-prod add-sqr-sqrt associate-*r*
37×associate-*l/
30×*-un-lft-identity add-cube-cbrt
23×pow1 associate-*r/
13×pow-prod-down
5×unswap-sqr
4×insert-posit16 add-log-exp
3×sqrt-prod div-inv
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l*
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-*l* *-commutative flip--
Counts
4 → 639
Calls
4 calls:
Slowest
661.0ms
(* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))
19.0ms
(/ (* M D) (* 2 d))
19.0ms
(/ (* M D) (* 2 d))
7.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
221.0ms
(* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))
196.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
48.0ms
(/ (* M D) (* 2 d))
38.0ms
(/ (* M D) (* 2 d))

simplify18.5s

Counts
651 → 651

prune13.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.0b

localize63.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
5.4b
(sqrt (- 1 (/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)))
5.4b
(/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
213×add-cbrt-cube add-exp-log
99×prod-exp cbrt-unprod
75×cbrt-undiv div-exp
11×add-sqr-sqrt
10×*-un-lft-identity
7×add-cube-cbrt
6×sqrt-prod
5×pow1 associate-/r* times-frac
4×associate-*l/ insert-posit16 add-log-exp
3×clear-num frac-2neg div-inv associate-/l* associate-/l/
2×sqrt-div difference-of-squares
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-*r/ flip-- distribute-lft-out--
Counts
4 → 138
Calls
4 calls:
Slowest
207.0ms
(/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)
22.0ms
(/ (* M D) (* 2 d))
21.0ms
(/ (* M D) (* 2 d))
15.0ms
(sqrt (- 1 (/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)))

series448.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
233.0ms
(sqrt (- 1 (/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)))
125.0ms
(/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)
48.0ms
(/ (* M D) (* 2 d))
41.0ms
(/ (* M D) (* 2 d))

simplify1.7s

Counts
150 → 150

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 8.0b

localize69.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×add-cbrt-cube add-exp-log
16×cbrt-undiv div-exp prod-exp cbrt-unprod
4×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
4 → 88
Calls
4 calls:
Slowest
11.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))

series199.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
57.0ms
(/ (* M D) (* 2 d))
51.0ms
(/ (* M D) (* 2 d))
48.0ms
(/ (* M D) (* 2 d))
42.0ms
(/ (* M D) (* 2 d))

simplify3.9s

Counts
100 → 100

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 8.0b

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 7.8b against oracle of 7.1b and baseline of 7.8b

bsearch7.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.9s9330×body80valid
671.0ms3097×body80nan