Details

Time bar (total: 19.6s)

sample127.0ms

Algorithm
intervals
Results
67.0ms304×body80valid
22.0ms97×body80nan

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2071
42071
3592
295
138
017

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize62.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ (* M D) (* 2 d))
3.8b
(/ (* M D) (* 2 d))
5.7b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
9.5b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite254.0ms

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:
22.0ms
(/ (* M D) (* 2 d))
22.0ms
(/ (* M D) (* 2 d))
8.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
191.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series419.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (* M D) (* 2 d))
48.0ms
(/ (* M D) (* 2 d))
191.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
133.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.2s

Counts
210 → 210
Iterations
IterNodes
done2002
22002
1961
0321

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.4b

localize47.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d))
3.8b
(/ (/ (* M D) 2) d)
3.8b
(/ (/ (* M D) 2) d)
5.7b
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d)) (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d))) (/ (cbrt h) (cbrt l)))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
110×add-sqr-sqrt
76×*-un-lft-identity add-cube-cbrt
54×add-exp-log
46×add-cbrt-cube
44×cbrt-prod
40×associate-*l*
25×associate-*r*
24×cbrt-undiv div-exp
15×div-inv
14×associate-/l*
12×prod-exp cbrt-unprod
10×unswap-sqr
7×pow1
6×associate-/r*
4×insert-posit16 add-log-exp
3×sqrt-prod
2×clear-num 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 → 218
Calls
4 calls:
23.0ms
(* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d))
20.0ms
(/ (/ (* M D) 2) d)
21.0ms
(/ (/ (* M D) 2) d)
14.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d)) (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d))) (/ (cbrt h) (cbrt l)))))

series556.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d))
32.0ms
(/ (/ (* M D) 2) d)
33.0ms
(/ (/ (* M D) 2) d)
226.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d)) (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d))) (/ (cbrt h) (cbrt l)))))

simplify1.3s

Counts
230 → 230
Iterations
IterNodes
done2005
22005
1884
0301

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize102.0ms

Local error

Found 4 expressions with local error:

5.7b
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d)) (* (/ (cbrt h) (cbrt l)) (* (/ (* (cbrt (/ (* M D) 2)) (cbrt (/ (* M D) 2))) 1) (/ (cbrt (/ (* M D) 2)) d)))) (/ (cbrt h) (cbrt l)))))
14.6b
(cbrt (/ (* M D) 2))
14.6b
(cbrt (/ (* M D) 2))
14.6b
(cbrt (/ (* M D) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×times-frac
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16 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 → 67
Calls
4 calls:
4.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d)) (* (/ (cbrt h) (cbrt l)) (* (/ (* (cbrt (/ (* M D) 2)) (cbrt (/ (* M D) 2))) 1) (/ (cbrt (/ (* M D) 2)) d)))) (/ (cbrt h) (cbrt l)))))
3.0ms
(cbrt (/ (* M D) 2))
3.0ms
(cbrt (/ (* M D) 2))
2.0ms
(cbrt (/ (* M D) 2))

series737.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (/ (* M D) 2) d)) (* (/ (cbrt h) (cbrt l)) (* (/ (* (cbrt (/ (* M D) 2)) (cbrt (/ (* M D) 2))) 1) (/ (cbrt (/ (* M D) 2)) d)))) (/ (cbrt h) (cbrt l)))))
143.0ms
(cbrt (/ (* M D) 2))
135.0ms
(cbrt (/ (* M D) 2))
135.0ms
(cbrt (/ (* M D) 2))

simplify1.3s

Counts
79 → 79
Iterations
IterNodes
done2012
32012
2677
1222
0109

prune965.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize140.0ms

Local error

Found 4 expressions with local error:

14.6b
(cbrt (/ (* M D) 2))
14.6b
(cbrt (/ (* M D) 2))
14.6b
(cbrt (/ (* M D) 2))
14.6b
(cbrt (/ (* M D) 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (/ (* M D) 2))
2.0ms
(cbrt (/ (* M D) 2))
2.0ms
(cbrt (/ (* M D) 2))
2.0ms
(cbrt (/ (* M D) 2))

series547.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (/ (* M D) 2))
144.0ms
(cbrt (/ (* M D) 2))
141.0ms
(cbrt (/ (* M D) 2))
138.0ms
(cbrt (/ (* M D) 2))

simplify1.1s

Counts
80 → 80
Iterations
IterNodes
done2001
52001
41016
3439
2202
1112
064

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.3b

regimes2.0s

Accuracy

0% (0.8b remaining)

Error of 8.0b against oracle of 7.2b and baseline of 8.0b

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done37
137
028

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s9260×body80valid
603.0ms2989×body80nan