Details

Time bar (total: 34.8s)

sample128.0ms

Algorithm
intervals
Results
64.0ms294×body80valid
25.0ms113×body80nan

simplify1.8s

Counts
1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize46.0ms

Local error

Found 4 expressions with local error:

11.1b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
3.0b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

rewrite162.0ms

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
121.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
11.0ms
(/ (* M D) (* 2 d))
10.0ms
(/ (* M D) (* 2 d))
7.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
215.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
140.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
53.0ms
(/ (* M D) (* 2 d))
32.0ms
(/ (* M D) (* 2 d))

simplify2.5s

Counts
210 → 210

prune3.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize40.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
4.1b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
4.1b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
90×add-cbrt-cube
84×add-sqr-sqrt times-frac
80×cbrt-prod associate-*l*
56×*-un-lft-identity add-cube-cbrt
44×prod-exp cbrt-unprod
34×cbrt-undiv div-exp
10×associate-*r* unswap-sqr
8×pow1
6×div-inv
4×insert-posit16 add-log-exp
2×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 210
Calls
4 calls:
Slowest
53.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
46.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
11.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))

series637.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
315.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
260.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
32.0ms
(/ (* M D) (* 2 d))
30.0ms
(/ (* M D) (* 2 d))

simplify1.2s

Counts
222 → 222

prune4.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize57.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
4.1b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
3.0b
(sqrt (- 1 (* (* (* (/ (cbrt (* (cbrt h) (cbrt h))) 1) (* (/ (cbrt (cbrt h)) (cbrt l)) (/ (* M D) (* 2 d)))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
59×add-cbrt-cube
46×add-sqr-sqrt
43×times-frac
40×cbrt-prod associate-*l*
31×*-un-lft-identity add-cube-cbrt
26×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
7×pow1
5×associate-*r* unswap-sqr
4×insert-posit16 div-inv add-log-exp
3×sqrt-prod
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l*
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 143
Calls
4 calls:
Slowest
25.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
18.0ms
(/ (* M D) (* 2 d))
10.0ms
(/ (* M D) (* 2 d))
4.0ms
(sqrt (- 1 (* (* (* (/ (cbrt (* (cbrt h) (cbrt h))) 1) (* (/ (cbrt (cbrt h)) (cbrt l)) (/ (* M D) (* 2 d)))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
190.0ms
(sqrt (- 1 (* (* (* (/ (cbrt (* (cbrt h) (cbrt h))) 1) (* (/ (cbrt (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))
46.0ms
(/ (* M D) (* 2 d))

simplify1.5s

Counts
155 → 155

prune3.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize113.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
4.1b
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
3.9b
(* (/ (cbrt h) (cbrt (cbrt l))) (/ (* M D) (* 2 d)))

rewrite534.0ms

Algorithm
rewrite-expression-head
Rules
130×cbrt-prod
110×add-exp-log
104×times-frac
102×add-sqr-sqrt
98×associate-*l*
90×add-cbrt-cube
68×*-un-lft-identity add-cube-cbrt
44×prod-exp cbrt-unprod
34×cbrt-undiv div-exp
12×unswap-sqr
10×associate-*r*
8×pow1
6×div-inv
4×insert-posit16 add-log-exp
2×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 230
Calls
4 calls:
Slowest
454.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
30.0ms
(* (/ (cbrt h) (cbrt (cbrt l))) (/ (* M D) (* 2 d)))
22.0ms
(/ (* M D) (* 2 d))
14.0ms
(/ (* M D) (* 2 d))

series865.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
527.0ms
(* (/ (cbrt h) (cbrt (cbrt l))) (/ (* M D) (* 2 d)))
271.0ms
(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
34.0ms
(/ (* M D) (* 2 d))
33.0ms
(/ (* M D) (* 2 d))

simplify1.8s

Counts
242 → 242

prune5.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.0b

regimes1.7s

Accuracy

0% (1.2b remaining)

Error of 7.9b against oracle of 6.7b and baseline of 7.9b

bsearch13.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.2s9252×body80valid
565.0ms3042×body80nan