Details

Time bar (total: 2.9m)

sample73.0ms

Algorithm
intervals
Results
45.0ms307×body80valid
11.0ms98×body80nan

simplify163.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
163.0ms
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize31.0ms

Local error

Found 4 expressions with local error:

8.9b
(* (/ h l) (/ (* M D) (* 2 d)))
4.7b
(/ (* M D) (* 2 d))
4.7b
(/ (* M D) (* 2 d))
3.8b
(sqrt (- 1 (* (* (/ h l) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
69×add-cbrt-cube add-exp-log
26×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
19×add-sqr-sqrt
13×*-un-lft-identity times-frac associate-*l* add-cube-cbrt
7×pow1
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×sqrt-prod
2×clear-num associate-/r* frac-2neg sqrt-div associate-/l* unswap-sqr
1×frac-times rem-sqrt-square sqrt-pow1 flip3-- pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 121
Calls
4 calls:
Slowest
38.0ms
(* (/ h l) (/ (* M D) (* 2 d)))
17.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))
11.0ms
(sqrt (- 1 (* (* (/ h l) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d)))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
223.0ms
(sqrt (- 1 (* (* (/ h l) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d)))))
104.0ms
(* (/ h l) (/ (* M D) (* 2 d)))
42.0ms
(/ (* M D) (* 2 d))
35.0ms
(/ (* M D) (* 2 d))

simplify25.2s

Counts
84 → 133
Calls
84 calls:
Slowest
1.4s
(* (* (* (/ h l) (/ h l)) (/ h l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))
1.4s
(* (/ (* (* h h) h) (* (* l l) l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))
1.3s
(* (* (* (/ h l) (/ h l)) (/ h l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d))))
1.3s
(* (/ (* (* h h) h) (* (* l l) l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))
1.3s
(* (/ (* (* h h) h) (* (* l l) l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))))

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.9b

localize38.0ms

Local error

Found 4 expressions with local error:

4.8b
(* h (* (/ 1 l) (/ (* M D) (* 2 d))))
4.7b
(/ (* M D) (* 2 d))
4.7b
(/ (* M D) (* 2 d))
4.4b
(* (/ 1 l) (/ (* M D) (* 2 d)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
204×add-exp-log
122×add-cbrt-cube
101×prod-exp
60×div-exp
55×cbrt-unprod
34×cbrt-undiv
20×add-sqr-sqrt
16×associate-*l*
14×*-un-lft-identity times-frac
13×add-cube-cbrt
11×pow1
10×rec-exp 1-exp
6×associate-*r*
5×associate-*r/
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×frac-times clear-num associate-/r* frac-2neg associate-*l/ *-commutative associate-/l*
Counts
4 → 166
Calls
4 calls:
Slowest
65.0ms
(* h (* (/ 1 l) (/ (* M D) (* 2 d))))
35.0ms
(* (/ 1 l) (/ (* M D) (* 2 d)))
24.0ms
(/ (* M D) (* 2 d))
12.0ms
(/ (* M D) (* 2 d))

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(* h (* (/ 1 l) (/ (* M D) (* 2 d))))
62.0ms
(* (/ 1 l) (/ (* M D) (* 2 d)))
39.0ms
(/ (* M D) (* 2 d))
34.0ms
(/ (* M D) (* 2 d))

simplify47.5s

Counts
128 → 178
Calls
128 calls:
Slowest
2.1s
(* (* (* h h) h) (* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))))
1.8s
(* (* (* h h) h) (* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))))
1.8s
(* (* (* h h) h) (* (* (* (/ 1 l) (/ 1 l)) (/ 1 l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))))
1.7s
(* (* (* h h) h) (* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))))
1.6s
(* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))

prune3.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.9b

localize43.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ (* M D) (* 2 d))
4.7b
(/ (* M D) (* 2 d))
4.4b
(* (/ 1 l) (/ (* M D) (* 2 d)))
4.0b
(* (* (cbrt h) (cbrt h)) (* (cbrt h) (* (/ 1 l) (/ (* M D) (* 2 d)))))

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
371×add-exp-log
224×prod-exp
167×add-cbrt-cube
120×cbrt-unprod
86×div-exp
47×cbrt-undiv
27×pow1
19×add-sqr-sqrt
16×pow-prod-down
15×rec-exp 1-exp
14×times-frac associate-*l*
13×*-un-lft-identity
12×add-cube-cbrt
8×associate-*r/
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×frac-times clear-num associate-/r* frac-2neg associate-*l/ *-commutative associate-/l*
Counts
4 → 204
Calls
4 calls:
Slowest
254.0ms
(* (* (cbrt h) (cbrt h)) (* (cbrt h) (* (/ 1 l) (/ (* M D) (* 2 d)))))
50.0ms
(* (/ 1 l) (/ (* M D) (* 2 d)))
20.0ms
(/ (* M D) (* 2 d))
18.0ms
(/ (* M D) (* 2 d))

series293.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(* (* (cbrt h) (cbrt h)) (* (cbrt h) (* (/ 1 l) (/ (* M D) (* 2 d)))))
65.0ms
(* (/ 1 l) (/ (* M D) (* 2 d)))
39.0ms
(/ (* M D) (* 2 d))
34.0ms
(/ (* M D) (* 2 d))

simplify59.5s

Counts
167 → 216
Calls
167 calls:
Slowest
1.9s
(* (* h h) (* h (* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))))
1.8s
(* (* h h) (* h (* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))))
1.8s
(* (* h h) (* h (* (/ (* (* 1 1) 1) (* (* l l) l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))))))
1.8s
(* (* (* (/ 1 l) (/ 1 l)) (/ 1 l)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))
1.7s
(* (* h h) (* h (* (* (* (/ 1 l) (/ 1 l)) (/ 1 l)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))))

prune4.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.9b

localize39.0ms

Local error

Found 4 expressions with local error:

5.1b
(* h (/ (* M D) (* 2 d)))
4.7b
(/ (* M D) (* 2 d))
4.7b
(/ (* M D) (* 2 d))
4.2b
(/ (* h (/ (* M D) (* 2 d))) l)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
71×add-cbrt-cube add-exp-log
26×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 times-frac
5×associate-/r* associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg associate-*l* associate-/l*
2×associate-*r/
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
4 → 113
Calls
4 calls:
Slowest
41.0ms
(/ (* h (/ (* M D) (* 2 d))) l)
41.0ms
(* h (/ (* M D) (* 2 d)))
27.0ms
(/ (* M D) (* 2 d))
22.0ms
(/ (* M D) (* 2 d))

series258.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(/ (* h (/ (* M D) (* 2 d))) l)
75.0ms
(* h (/ (* M D) (* 2 d)))
37.0ms
(/ (* M D) (* 2 d))
33.0ms
(/ (* M D) (* 2 d))

simplify25.7s

Counts
74 → 125
Calls
74 calls:
Slowest
1.6s
(/ (* (* (* h h) h) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* l l) l))
1.5s
(/ (* (* (* h h) h) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* l l) l))
1.4s
(/ (* (* (* h h) h) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* l l) l))
1.3s
(/ (* (* (* h h) h) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* l l) l))
1.2s
(* (* (* h h) h) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))))

prune2.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.9b

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 8.2b against oracle of 7.5b and baseline of 8.2b

bsearch7.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.3s9364×body80valid
606.0ms3123×body80nan