Details

Time bar (total: 24.6s)

sample122.0ms

Algorithm
intervals
Results
63.0ms289×body80valid
24.0ms107×body80nan

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
44693
3589
293
136
017

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize28.0ms

Local error

Found 4 expressions with local error:

2.6b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))
10.7b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite171.0ms

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:
5.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
11.0ms
(/ (* M D) (* 2 d))
11.0ms
(/ (* M D) (* 2 d))
135.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series413.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
43.0ms
(/ (* M D) (* 2 d))
54.0ms
(/ (* M D) (* 2 d))
104.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.5s

Counts
210 → 210
Iterations
IterNodes
23936
1957
0321

prune787.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

localize60.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
3.5b
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
5.7b
(/ (* M D) (* 2 d))
5.7b
(/ (* M D) (* 2 d))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
90×add-cbrt-cube
84×add-sqr-sqrt times-frac
80×cbrt-prod associate-*r*
56×*-un-lft-identity add-cube-cbrt
44×prod-exp cbrt-unprod
34×cbrt-undiv div-exp
10×associate-*l* 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:
41.0ms
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
65.0ms
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
23.0ms
(/ (* M D) (* 2 d))
23.0ms
(/ (* M D) (* 2 d))

series408.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
158.0ms
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
50.0ms
(/ (* M D) (* 2 d))
54.0ms
(/ (* M D) (* 2 d))

simplify1.1s

Counts
222 → 222
Iterations
IterNodes
23435
1706
0236

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

localize95.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* M D) (/ (cbrt h) (cbrt l)))
3.5b
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
4.2b
(/ (* (* M D) (/ (cbrt h) (cbrt l))) (* 2 d))
5.7b
(/ (* M D) (* 2 d))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
88×add-cbrt-cube
80×associate-*r*
79×times-frac
76×cbrt-prod
69×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
45×prod-exp cbrt-unprod
33×cbrt-undiv div-exp
11×pow1
6×associate-*l*
5×div-inv unswap-sqr
4×pow-prod-down insert-posit16 add-log-exp
3×associate-*r/
2×clear-num associate-/r* frac-2neg *-commutative associate-/l*
1×frac-times associate-*l/ associate-/l/
Counts
4 → 201
Calls
4 calls:
18.0ms
(* (* M D) (/ (cbrt h) (cbrt l)))
43.0ms
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
26.0ms
(/ (* (* M D) (/ (cbrt h) (cbrt l))) (* 2 d))
13.0ms
(/ (* M D) (* 2 d))

series416.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* M D) (/ (cbrt h) (cbrt l)))
155.0ms
(* (/ (* M D) (* 2 d)) (/ (cbrt h) (cbrt l)))
150.0ms
(/ (* (* M D) (/ (cbrt h) (cbrt l))) (* 2 d))
30.0ms
(/ (* M D) (* 2 d))

simplify3.6s

Counts
213 → 213
Iterations
IterNodes
25378
11103
0327

prune2.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.0b

localize63.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* M D) (* 2 d))
13.1b
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))
13.1b
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))
13.1b
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
4×add-sqr-sqrt pow1 cbrt-undiv *-un-lft-identity div-exp prod-exp add-cube-cbrt cbrt-unprod insert-posit16 add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r/
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
4 → 55
Calls
4 calls:
14.0ms
(/ (* M D) (* 2 d))
22.0ms
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))
28.0ms
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))
23.0ms
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))

series550.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (* M D) (* 2 d))
187.0ms
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))
186.0ms
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))
137.0ms
(cbrt (* (* M D) (/ (cbrt h) (cbrt l))))

simplify3.5s

Counts
67 → 67
Iterations
IterNodes
37045
21066
1294
0119

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.9b

regimes1.7s

Accuracy

0% (0.6b remaining)

Error of 7.5b against oracle of 6.9b and baseline of 7.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
225
125
020

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.8s9290×body80valid
714.0ms3330×body80nan