Details

Time bar (total: 33.2s)

sample130.0ms

Algorithm
intervals
Results
76.0ms305×body80valid
21.0ms103×body80nan

simplify1.7s

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize33.0ms

Local error

Found 4 expressions with local error:

9.0b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
5.2b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
4.8b
(/ (* M D) (* 2 d))
4.8b
(/ (* M D) (* 2 d))

rewrite184.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 206
Calls
4 calls:
Slowest
147.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
12.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))
6.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
222.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
132.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
45.0ms
(/ (* M D) (* 2 d))
31.0ms
(/ (* M D) (* 2 d))

simplify2.1s

Counts
218 → 218

prune3.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.8b

localize67.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (cbrt h) (/ (* M D) (* 2 d)))) (/ (cbrt h) l))
5.2b
(sqrt (- 1 (* (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (cbrt h) (/ (* M D) (* 2 d)))) (/ (cbrt h) l))))
4.8b
(/ (* M D) (* 2 d))
4.8b
(/ (* M D) (* 2 d))

rewrite658.0ms

Algorithm
rewrite-expression-head
Rules
597×add-exp-log
440×add-cbrt-cube
370×prod-exp cbrt-unprod
141×cbrt-undiv div-exp
24×add-sqr-sqrt
23×pow1
22×times-frac associate-*r*
18×*-un-lft-identity add-cube-cbrt
13×pow-prod-down
11×associate-*r/
10×cbrt-prod
5×frac-times associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
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 → 263
Calls
4 calls:
Slowest
599.0ms
(* (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (cbrt h) (/ (* M D) (* 2 d)))) (/ (cbrt h) l))
22.0ms
(/ (* M D) (* 2 d))
13.0ms
(/ (* M D) (* 2 d))
11.0ms
(sqrt (- 1 (* (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (cbrt h) (/ (* M D) (* 2 d)))) (/ (cbrt h) l))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
415.0ms
(sqrt (- 1 (* (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (cbrt h) (/ (* M D) (* 2 d)))) (/ (cbrt h) l))))
168.0ms
(* (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (cbrt h) (/ (* M D) (* 2 d)))) (/ (cbrt h) l))
47.0ms
(/ (* M D) (* 2 d))
31.0ms
(/ (* M D) (* 2 d))

simplify3.3s

Counts
275 → 275

prune4.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.8b

localize46.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (* (cbrt h) (/ (* M D) (* 2 d))) (/ (cbrt h) l))
5.2b
(sqrt (- 1 (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (* (cbrt h) (/ (* M D) (* 2 d))) (/ (cbrt h) l)))))
4.8b
(/ (* M D) (* 2 d))
4.8b
(/ (* M D) (* 2 d))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
68×add-cbrt-cube
38×prod-exp cbrt-unprod
22×cbrt-undiv div-exp associate-*r*
20×times-frac
19×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
10×pow1
9×cbrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/ sqrt-prod div-inv
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l*
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-*l* associate-*l/ *-commutative flip--
Counts
4 → 129
Calls
4 calls:
Slowest
67.0ms
(* (* (cbrt h) (/ (* M D) (* 2 d))) (/ (cbrt h) l))
18.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))
5.0ms
(sqrt (- 1 (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (* (cbrt h) (/ (* M D) (* 2 d))) (/ (cbrt h) l)))))

series901.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
473.0ms
(sqrt (- 1 (* (* (cbrt h) (/ (* M D) (* 2 d))) (* (* (cbrt h) (/ (* M D) (* 2 d))) (/ (cbrt h) l)))))
333.0ms
(* (* (cbrt h) (/ (* M D) (* 2 d))) (/ (cbrt h) l))
52.0ms
(/ (* M D) (* 2 d))
43.0ms
(/ (* M D) (* 2 d))

simplify1.3s

Counts
141 → 141

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.8b

localize74.0ms

Local error

Found 4 expressions with local error:

5.2b
(sqrt (- 1 (* (* (/ (* (* (cbrt h) (* M D)) (cbrt (/ (cbrt h) l))) (* 2 d)) (/ (* (* (cbrt h) (* M D)) (cbrt (/ (cbrt h) l))) (* 2 d))) (cbrt (/ (cbrt h) l)))))
4.3b
(cbrt (/ (cbrt h) l))
4.3b
(cbrt (/ (cbrt h) l))
4.3b
(cbrt (/ (cbrt h) l))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
54×times-frac
45×add-sqr-sqrt
44×*-un-lft-identity add-cube-cbrt
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 sqrt-prod div-inv
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
Counts
4 → 120
Calls
4 calls:
Slowest
11.0ms
(sqrt (- 1 (* (* (/ (* (* (cbrt h) (* M D)) (cbrt (/ (cbrt h) l))) (* 2 d)) (/ (* (* (cbrt h) (* M D)) (cbrt (/ (cbrt h) l))) (* 2 d))) (cbrt (/ (cbrt h) l)))))
3.0ms
(cbrt (/ (cbrt h) l))
3.0ms
(cbrt (/ (cbrt h) l))
1.0ms
(cbrt (/ (cbrt h) l))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
440.0ms
(sqrt (- 1 (* (* (/ (* (* (cbrt h) (* M D)) (cbrt (/ (cbrt h) l))) (* 2 d)) (/ (* (* (cbrt h) (* M D)) (cbrt (/ (cbrt h) l))) (* 2 d))) (cbrt (/ (cbrt h) l)))))
251.0ms
(cbrt (/ (cbrt h) l))
228.0ms
(cbrt (/ (cbrt h) l))
224.0ms
(cbrt (/ (cbrt h) l))

simplify2.3s

Counts
132 → 132

prune2.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.6b

regimes1.5s

Accuracy

0% (2.0b remaining)

Error of 9.2b against oracle of 7.2b and baseline of 9.2b

bsearch4.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.2s9320×body80valid
592.0ms3129×body80nan