Details

Time bar (total: 1.5m)

sample65.0ms

Algorithm
intervals
Results
33.0ms295×body80valid
13.0ms110×body80nan

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2008
42008
3596
295
138
017

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize55.0ms

Local error

Found 4 expressions with local error:

4.3b
(sqrt (- 1 (* (/ (/ (/ (* M D) d) 2) (/ l h)) (/ (/ (* M D) d) 2))))
4.4b
(/ (* M D) d)
4.4b
(/ (* M D) d)
7.8b
(/ (/ (/ (* M D) d) 2) (/ l h))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
985×times-frac
388×add-sqr-sqrt
387×*-un-lft-identity add-cube-cbrt
85×div-inv
46×add-cbrt-cube add-exp-log
27×associate-/l*
26×cbrt-undiv div-exp
19×associate-/r*
5×pow1
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ flip-- associate-/l/
Counts
4 → 460
Calls
4 calls:
11.0ms
(sqrt (- 1 (* (/ (/ (/ (* M D) d) 2) (/ l h)) (/ (/ (* M D) d) 2))))
17.0ms
(/ (* M D) d)
18.0ms
(/ (* M D) d)
32.0ms
(/ (/ (/ (* M D) d) 2) (/ l h))

series315.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(sqrt (- 1 (* (/ (/ (/ (* M D) d) 2) (/ l h)) (/ (/ (* M D) d) 2))))
28.0ms
(/ (* M D) d)
21.0ms
(/ (* M D) d)
103.0ms
(/ (/ (/ (* M D) d) 2) (/ l h))

simplify1.4s

Counts
472 → 472
Iterations
IterNodes
done2000
12000
0864

prune8.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.8b

localize52.0ms

Local error

Found 4 expressions with local error:

4.3b
(sqrt (- 1 (* (* (* (cbrt h) (cbrt h)) (/ (/ (/ (* M D) d) 2) (/ l (cbrt h)))) (/ (/ (* M D) d) 2))))
4.4b
(/ (* M D) d)
4.4b
(/ (* M D) d)
6.6b
(/ (/ (/ (* M D) d) 2) (/ l (cbrt h)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1714×times-frac
670×add-sqr-sqrt
669×*-un-lft-identity add-cube-cbrt
234×cbrt-prod
121×div-inv
46×add-exp-log
42×add-cbrt-cube
28×associate-/r*
27×associate-/l*
26×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ flip-- associate-/l/
Counts
4 → 694
Calls
4 calls:
15.0ms
(sqrt (- 1 (* (* (* (cbrt h) (cbrt h)) (/ (/ (/ (* M D) d) 2) (/ l (cbrt h)))) (/ (/ (* M D) d) 2))))
17.0ms
(/ (* M D) d)
18.0ms
(/ (* M D) d)
32.0ms
(/ (/ (/ (* M D) d) 2) (/ l (cbrt h)))

series750.0ms

Counts
4 → 12
Calls
4 calls:
526.0ms
(sqrt (- 1 (* (* (* (cbrt h) (cbrt h)) (/ (/ (/ (* M D) d) 2) (/ l (cbrt h)))) (/ (/ (* M D) d) 2))))
21.0ms
(/ (* M D) d)
23.0ms
(/ (* M D) d)
179.0ms
(/ (/ (/ (* M D) d) 2) (/ l (cbrt h)))

simplify1.7s

Counts
706 → 706
Iterations
IterNodes
done2000
12000
01193

prune13.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.8b

localize74.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* M D) d)
4.4b
(/ (* M D) d)
4.7b
(* (/ (/ 1 (sqrt 2)) l) (/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h)))
5.5b
(/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
3995×times-frac
1749×add-sqr-sqrt
1489×*-un-lft-identity
1451×add-cube-cbrt
632×sqrt-prod
603×associate-*r*
549×add-exp-log
370×div-exp
290×div-inv
199×add-cbrt-cube
119×cbrt-undiv
111×prod-exp
70×associate-*l*
60×unswap-sqr
48×associate-/l*
41×rec-exp 1-exp
37×cbrt-unprod
19×associate-/r*
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/r/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 1604
Calls
4 calls:
9.0ms
(/ (* M D) d)
9.0ms
(/ (* M D) d)
91.0ms
(* (/ (/ 1 (sqrt 2)) l) (/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h)))
32.0ms
(/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h))

series764.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* M D) d)
21.0ms
(/ (* M D) d)
484.0ms
(* (/ (/ 1 (sqrt 2)) l) (/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h)))
236.0ms
(/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h))

simplify3.2s

Counts
1616 → 1616
Iterations
IterNodes
done2000
12000
01814

prune33.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.8b

localize58.0ms

Local error

Found 4 expressions with local error:

4.3b
(sqrt (- 1 (* (* (* (cbrt (/ (/ 1 (sqrt 2)) l)) (cbrt (/ (/ 1 (sqrt 2)) l))) (* (cbrt (/ (/ 1 (sqrt 2)) l)) (/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h)))) (/ (/ (* M D) d) 2))))
4.4b
(/ (* M D) d)
4.4b
(/ (* M D) d)
5.5b
(/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
1867×times-frac
717×add-sqr-sqrt
716×*-un-lft-identity add-cube-cbrt
297×sqrt-prod
148×div-inv
74×add-exp-log
48×div-exp associate-/l*
46×add-cbrt-cube
26×cbrt-undiv
19×associate-/r*
6×prod-exp
5×pow1
4×expm1-log1p-u rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ flip-- associate-/l/
Counts
4 → 762
Calls
4 calls:
5.0ms
(sqrt (- 1 (* (* (* (cbrt (/ (/ 1 (sqrt 2)) l)) (cbrt (/ (/ 1 (sqrt 2)) l))) (* (cbrt (/ (/ 1 (sqrt 2)) l)) (/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h)))) (/ (/ (* M D) d) 2))))
16.0ms
(/ (* M D) d)
17.0ms
(/ (* M D) d)
31.0ms
(/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.7s
(sqrt (- 1 (* (* (* (cbrt (/ (/ 1 (sqrt 2)) l)) (cbrt (/ (/ 1 (sqrt 2)) l))) (* (cbrt (/ (/ 1 (sqrt 2)) l)) (/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h)))) (/ (/ (* M D) d) 2))))
36.0ms
(/ (* M D) d)
35.0ms
(/ (* M D) d)
218.0ms
(/ (/ (/ (* M D) d) (sqrt 2)) (/ 1 h))

simplify2.0s

Counts
774 → 774
Iterations
IterNodes
done2001
12001
01101

prune18.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.8b

regimes1.1s

Accuracy

0% (0.8b remaining)

Error of 8.3b against oracle of 7.5b and baseline of 8.3b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done28
128
022

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.8s9335×body80valid
561.0ms3071×body80nan