Details

sample129.0ms

Algorithm

intervals

Results

73.0ms	307×	body	80	valid
19.0ms	90×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	4670
3	592
2	95
1	38
0	17

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.5b	(sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4)))))
4.5b	(/ M (/ d D))
4.5b	(/ M (/ d D))
11.9b	(/ (/ l h) (/ (/ M (/ d D)) 4))

rewrite8.2s

Algorithm

rewrite-expression-head

Rules

8023×	`times-frac`
3485×	`add-sqr-sqrt`
3178×	`*-un-lft-identity`
3148×	`add-cube-cbrt`
330×	`div-inv`
162×	`associate-/r*`
60×	`sqrt-prod`
56×	`difference-of-squares`
46×	`add-cbrt-cube` `add-exp-log`
45×	`associate-/r/`
30×	`cbrt-undiv` `div-exp`
19×	`associate-/l*`
5×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 2161

Calls

4 calls:

7.9s	(sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4)))))
11.0ms	(/ M (/ d D))
12.0ms	(/ M (/ d D))
33.0ms	(/ (/ l h) (/ (/ M (/ d D)) 4))

series389.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(sqrt (- 1 (/ (/ M (/ d D)) (/ (/ l h) (/ (/ M (/ d D)) 4)))))
32.0ms	(/ M (/ d D))
50.0ms	(/ M (/ d D))
99.0ms	(/ (/ l h) (/ (/ M (/ d D)) 4))

simplify11.1s

Counts

2173 → 2173

Iterations

Iter	Nodes
1	14266
0	4156

prune40.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.5b

localize58.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ M (/ d D))
4.5b	(/ M (/ d D))
6.3b	(/ (/ 1 h) (/ (/ M (/ d D)) 4))
6.8b	(* l (/ (/ 1 h) (/ (/ M (/ d D)) 4)))

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

15091×	`times-frac`
6111×	`add-sqr-sqrt`
6055×	`*-un-lft-identity`
6051×	`add-cube-cbrt`
1773×	`associate-r`
636×	`div-inv`
162×	`associate-/r*`
152×	`add-exp-log`
102×	`div-exp`
88×	`add-cbrt-cube`
85×	`associate-/r/`
54×	`cbrt-undiv`
19×	`associate-/l*`
17×	`prod-exp`
13×	`unswap-sqr`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

4 → 3922

Calls

4 calls:

6.0ms	(/ M (/ d D))
6.0ms	(/ M (/ d D))
34.0ms	(/ (/ 1 h) (/ (/ M (/ d D)) 4))
95.0ms	(* l (/ (/ 1 h) (/ (/ M (/ d D)) 4)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ M (/ d D))
46.0ms	(/ M (/ d D))
77.0ms	(/ (/ 1 h) (/ (/ M (/ d D)) 4))
135.0ms	(* l (/ (/ 1 h) (/ (/ M (/ d D)) 4)))

simplify42.5s

Counts

3934 → 3934

Iterations

Iter	Nodes
1	19228
0	5307

prune1.3m

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.5b

localize57.0ms

Local error

Found 4 expressions with local error:

4.5b	(sqrt (- 1 (/ (/ (/ M (* (/ (cbrt d) (cbrt D)) (/ (cbrt d) (cbrt D)))) (/ (cbrt d) (cbrt D))) (* l (/ (/ 1 h) (/ (/ M (/ d D)) 4))))))
4.5b	(/ M (/ d D))
6.3b	(/ (/ 1 h) (/ (/ M (/ d D)) 4))
6.8b	(* l (/ (/ 1 h) (/ (/ M (/ d D)) 4)))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

15016×	`times-frac`
6074×	`add-sqr-sqrt`
6017×	`*-un-lft-identity`
6010×	`add-cube-cbrt`
1773×	`associate-r`
631×	`div-inv`
149×	`associate-/r*`
147×	`add-exp-log`
99×	`div-exp`
84×	`associate-/r/`
83×	`add-cbrt-cube`
51×	`cbrt-undiv`
17×	`prod-exp`
16×	`associate-/l*`
13×	`unswap-sqr`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
6×	`sqrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`clear-num` `frac-2neg` `sqrt-div` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `associate-r/` `-commutative` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 3870

Calls

4 calls:

81.0ms	(sqrt (- 1 (/ (/ (/ M (* (/ (cbrt d) (cbrt D)) (/ (cbrt d) (cbrt D)))) (/ (cbrt d) (cbrt D))) (* l (/ (/ 1 h) (/ (/ M (/ d D)) 4))))))
6.0ms	(/ M (/ d D))
14.0ms	(/ (/ 1 h) (/ (/ M (/ d D)) 4))
59.0ms	(* l (/ (/ 1 h) (/ (/ M (/ d D)) 4)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (- 1 (/ (/ (/ M (* (/ (cbrt d) (cbrt D)) (/ (cbrt d) (cbrt D)))) (/ (cbrt d) (cbrt D))) (* l (/ (/ 1 h) (/ (/ M (/ d D)) 4))))))
23.0ms	(/ M (/ d D))
46.0ms	(/ (/ 1 h) (/ (/ M (/ d D)) 4))
78.0ms	(* l (/ (/ 1 h) (/ (/ M (/ d D)) 4)))

simplify28.1s

Counts

3882 → 3882

Iterations

Iter	Nodes
1	19332
0	5353

prune58.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.9b

localize80.0ms

Local error

Found 4 expressions with local error:

4.5b	(sqrt (- 1 (/ (/ (/ M (* (/ (cbrt d) (cbrt D)) (/ (cbrt d) (cbrt D)))) (/ (cbrt d) (cbrt D))) (* l (/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4))))))
6.0b	(/ (/ M d) (/ 1 D))
6.3b	(/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4))
6.8b	(* l (/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4)))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

70411×	`times-frac`
27262×	`add-sqr-sqrt`
27139×	`*-un-lft-identity`
27122×	`add-cube-cbrt`
6843×	`associate-r`
3298×	`div-inv`
539×	`associate-/r*`
432×	`add-exp-log`
336×	`div-exp`
142×	`add-cbrt-cube`
96×	`cbrt-undiv`
84×	`associate-/r/`
41×	`prod-exp`
38×	`rec-exp` `1-exp`
26×	`associate-/l*`
25×	`unswap-sqr`
13×	`cbrt-unprod`
7×	`pow1`
6×	`sqrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`clear-num` `frac-2neg` `sqrt-div` `difference-of-squares` `associate-/l/`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `associate-r/` `-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 14617

Calls

4 calls:

76.0ms	(sqrt (- 1 (/ (/ (/ M (* (/ (cbrt d) (cbrt D)) (/ (cbrt d) (cbrt D)))) (/ (cbrt d) (cbrt D))) (* l (/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4))))))
9.0ms	(/ (/ M d) (/ 1 D))
46.0ms	(/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4))
190.0ms	(* l (/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (- 1 (/ (/ (/ M (* (/ (cbrt d) (cbrt D)) (/ (cbrt d) (cbrt D)))) (/ (cbrt d) (cbrt D))) (* l (/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4))))))
22.0ms	(/ (/ M d) (/ 1 D))
46.0ms	(/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4))
78.0ms	(* l (/ (/ 1 h) (/ (/ (/ M d) (/ 1 D)) 4)))

simplify5.5m

Iterations

Iter	Nodes
0	18238