Details

Time bar (total: 2.9m)

sample141.0ms

Algorithm
intervals
Results
81.0ms295×body80valid
23.0ms102×body80nan

simplify220.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
220.0ms
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize55.0ms

Local error

Found 4 expressions with local error:

11.6b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
4.7b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
4.1b
(/ (* M D) (* 2 d))
4.1b
(/ (* M D) (* 2 d))

rewrite195.0ms

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
162.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
12.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))
4.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
187.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
119.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
47.0ms
(/ (* M D) (* 2 d))
41.0ms
(/ (* M D) (* 2 d))

simplify49.9s

Counts
172 → 210
Calls
172 calls:
Slowest
2.7s
(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (/ (* (* h h) h) (* (* l l) l)))
2.6s
(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ h l) (/ h l)) (/ h l)))
2.4s
(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* (/ h l) (/ h l)) (/ h l)))
2.3s
(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d)))) (/ (* (* h h) h) (* (* l l) l)))
2.2s
(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ h l) (/ h l)) (/ h l)))

prune3.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

localize44.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)
5.0b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h)
4.7b
(sqrt (- 1 (/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)))
4.1b
(/ (* M D) (* 2 d))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
358×add-cbrt-cube add-exp-log
186×prod-exp cbrt-unprod
111×cbrt-undiv div-exp
13×add-sqr-sqrt
11×*-un-lft-identity
10×pow1
8×associate-*l/ add-cube-cbrt
6×sqrt-prod
4×associate-/r* times-frac insert-posit16 add-log-exp
3×associate-*r* pow-prod-down associate-/l/
2×frac-times clear-num frac-2neg sqrt-div associate-*r/ div-inv associate-/l* difference-of-squares
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-*l* *-commutative flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 187
Calls
4 calls:
Slowest
160.0ms
(/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)
154.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h)
12.0ms
(/ (* M D) (* 2 d))
8.0ms
(sqrt (- 1 (/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
197.0ms
(sqrt (- 1 (/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)))
143.0ms
(/ (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h) l)
118.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) h)
47.0ms
(/ (* M D) (* 2 d))

simplify43.7s

Counts
160 → 199
Calls
160 calls:
Slowest
2.5s
(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h))
2.4s
(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* h h) h))
2.1s
(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h))
1.8s
(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* h h) h))
1.2s
(/ (* (* (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d))) (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d)))) (* (* h h) h)) (* (* l l) l))

prune3.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.3b

localize37.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) l)
4.7b
(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) l)))
4.3b
(* (/ (* M D) (* 2 d)) h)
4.1b
(/ (* M D) (* 2 d))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
239×add-cbrt-cube add-exp-log
112×prod-exp cbrt-unprod
83×cbrt-undiv div-exp
15×add-sqr-sqrt
12×*-un-lft-identity
9×add-cube-cbrt
7×pow1
6×sqrt-prod
5×times-frac associate-*l*
4×associate-/r* associate-*l/ insert-posit16 add-log-exp
3×associate-*r* div-inv associate-/l/
2×clear-num frac-2neg sqrt-div associate-/l* difference-of-squares
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 pow-prod-down associate-*r/ *-commutative flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 154
Calls
4 calls:
Slowest
115.0ms
(/ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) l)
49.0ms
(* (/ (* M D) (* 2 d)) h)
14.0ms
(/ (* M D) (* 2 d))
10.0ms
(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) l)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
185.0ms
(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) l)))
132.0ms
(/ (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) l)
66.0ms
(* (/ (* M D) (* 2 d)) h)
37.0ms
(/ (* M D) (* 2 d))

simplify35.1s

Counts
126 → 166
Calls
126 calls:
Slowest
2.0s
(/ (* (* (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h)) (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h))) (* (/ (* M D) (* 2 d)) (* (/ (* M D) (* 2 d)) h))) (* (* l l) l))
2.0s
(/ (* (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d))) (* (* (* (/ (* M D) (* 2 d)) h) (* (/ (* M D) (* 2 d)) h)) (* (/ (* M D) (* 2 d)) h))) (* (* l l) l))
1.8s
(/ (* (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d))) (* (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d))) (* (* h h) h))) (* (* l l) l))
1.4s
(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))
1.2s
(* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))

prune2.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.6b

localize43.0ms

Local error

Found 4 expressions with local error:

6.3b
(/ (* (/ (* M D) (* 2 d)) h) l)
4.7b
(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) 1) (/ (* (/ (* M D) (* 2 d)) h) l))))
4.3b
(* (/ (* M D) (* 2 d)) h)
4.1b
(/ (* M D) (* 2 d))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
59×add-cbrt-cube add-exp-log
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
12×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
7×pow1
5×times-frac associate-*l*
4×associate-/r* insert-posit16 add-log-exp
3×associate-*r* sqrt-prod div-inv
2×clear-num frac-2neg sqrt-div associate-*l/ associate-/l*
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 pow-prod-down *-commutative flip-- unswap-sqr associate-/l/
Counts
4 → 99
Calls
4 calls:
Slowest
34.0ms
(* (/ (* M D) (* 2 d)) h)
30.0ms
(/ (* (/ (* M D) (* 2 d)) h) l)
11.0ms
(/ (* M D) (* 2 d))
4.0ms
(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) 1) (/ (* (/ (* M D) (* 2 d)) h) l))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
172.0ms
(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) 1) (/ (* (/ (* M D) (* 2 d)) h) l))))
89.0ms
(/ (* (/ (* M D) (* 2 d)) h) l)
79.0ms
(* (/ (* M D) (* 2 d)) h)
45.0ms
(/ (* M D) (* 2 d))

simplify24.6s

Counts
71 → 111
Calls
71 calls:
Slowest
1.5s
(/ (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h)) (* (* l l) l))
1.5s
(/ (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h)) (* (* l l) l))
1.2s
(/ (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d))) (* (* h h) h)) (* (* l l) l))
1.2s
(/ (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (* (* h h) h)) (* (* l l) l))
1.2s
(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

regimes1.2s

Accuracy

0% (1.0b remaining)

Error of 8.3b against oracle of 7.4b and baseline of 8.3b

bsearch7.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.9s9348×body80valid
641.0ms3118×body80nan