Details

sample113.0ms

Algorithm

intervals

Results

52.0ms	296×	body	80	valid
31.0ms	107×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
4	4626
3	596
2	95
1	38
0	17

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize25.0ms

Local error

Found 4 expressions with local error:

4.0b	(sqrt (- 1 (/ (/ (* M D) (* 2 d)) (/ (/ l h) (/ (* M D) (* 2 d))))))
4.8b	(/ (* M D) (* 2 d))
4.8b	(/ (* M D) (* 2 d))
10.4b	(/ (/ l h) (/ (* M D) (* 2 d)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
86×	`add-sqr-sqrt`
69×	`add-cbrt-cube` `add-exp-log`
67×	`*-un-lft-identity`
61×	`add-cube-cbrt`
31×	`cbrt-undiv` `div-exp`
23×	`div-inv`
16×	`prod-exp` `cbrt-unprod`
15×	`associate-/l*`
12×	`sqrt-prod`
8×	`difference-of-squares`
7×	`associate-/r*`
5×	`pow1`
4×	`expm1-log1p-u` `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--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 193

Calls

4 calls:

116.0ms	(sqrt (- 1 (/ (/ (* M D) (* 2 d)) (/ (/ l h) (/ (* M D) (* 2 d))))))
15.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))
20.0ms	(/ (/ l h) (/ (* M D) (* 2 d)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(sqrt (- 1 (/ (/ (* M D) (* 2 d)) (/ (/ l h) (/ (* M D) (* 2 d))))))
44.0ms	(/ (* M D) (* 2 d))
28.0ms	(/ (* M D) (* 2 d))
74.0ms	(/ (/ l h) (/ (* M D) (* 2 d)))

simplify1.1s

Counts

205 → 205

Iterations

Iter	Nodes
2	3604
1	953
0	350

prune3.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize31.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* M D) (* 2 d))
4.8b	(/ (* M D) (* 2 d))
5.1b	(* (/ (* M D) (* 2 d)) h)
7.6b	(/ l (* (/ (* M D) (* 2 d)) h))

rewrite110.0ms

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-l` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `associate-/r` `frac-2neg` `associate-r*`
2×	`associate-*l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

20.0ms	(/ (* M D) (* 2 d))
20.0ms	(/ (* M D) (* 2 d))
33.0ms	(* (/ (* M D) (* 2 d)) h)
34.0ms	(/ l (* (/ (* M D) (* 2 d)) h))

series246.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* M D) (* 2 d))
47.0ms	(/ (* M D) (* 2 d))
74.0ms	(* (/ (* M D) (* 2 d)) h)
94.0ms	(/ l (* (/ (* M D) (* 2 d)) h))

simplify496.0ms

Counts

125 → 125

Iterations

Iter	Nodes
2	2009
1	405
0	148

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize69.0ms

Local error

Found 4 expressions with local error:

7.6b	(/ l (* (/ (* M D) (* 2 d)) h))
23.5b	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))
23.5b	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))
23.5b	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-cbrt-cube` `add-exp-log`
24×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `associate-*l/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`clear-num` `associate-/r*` `frac-2neg`

Counts

4 → 93

Calls

4 calls:

27.0ms	(/ l (* (/ (* M D) (* 2 d)) h))
19.0ms	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))
27.0ms	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))
16.0ms	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))

series696.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ l (* (/ (* M D) (* 2 d)) h))
203.0ms	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))
203.0ms	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))
200.0ms	(cbrt (/ l (* (/ (* M D) (* 2 d)) h)))

simplify591.0ms

Counts

105 → 105

Iterations

Iter	Nodes
2	2052
1	457
0	176

prune2.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.8b

localize59.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* M D) (* 2 d))
5.1b	(* (/ (* M D) (* 2 d)) h)
6.6b	(* (/ M 2) (/ D d))
7.6b	(/ l (* (/ (* M D) (* 2 d)) h))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-cbrt-cube` `add-exp-log`
36×	`add-sqr-sqrt`
27×	`times-frac`
26×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
18×	`associate-l`
16×	`associate-r`
8×	`pow1`
5×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative`
1×	`frac-times` `associate-*r/` `associate-/r/`

Counts

4 → 142

Calls

4 calls:

22.0ms	(/ (* M D) (* 2 d))
40.0ms	(* (/ (* M D) (* 2 d)) h)
16.0ms	(* (/ M 2) (/ D d))
29.0ms	(/ l (* (/ (* M D) (* 2 d)) h))

series248.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* M D) (* 2 d))
66.0ms	(* (/ (* M D) (* 2 d)) h)
47.0ms	(* (/ M 2) (/ D d))
96.0ms	(/ l (* (/ (* M D) (* 2 d)) h))

simplify782.0ms

Counts

154 → 154

Iterations

Iter	Nodes
2	3021
1	690
0	239

prune2.6s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.2b

regimes1.6s

Accuracy

0% (1.9b remaining)

Error of 8.4b against oracle of 6.5b and baseline of 8.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	25
1	25
0	21

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.8s	9345×	body	80	valid
1.1s	3139×	body	80	nan