Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

29.0ms

(/ (+ x 1.0) (- 1.0 x))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify933.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	841
1	212
0	92

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(exp (/ (+ x 1.0) (- 1.0 x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `insert-posit16` `div-inv` `flip--`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `rem-exp-log`

Counts

3 → 120

Calls

3 calls:

40.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
17.0ms	(/ (+ x 1.0) (- 1.0 x))
35.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

series221.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
45.0ms	(/ (+ x 1.0) (- 1.0 x))
118.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

simplify924.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	1091
1	327
0	165

prune513.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (/ (+ x 1.0) (- 1.0 x))))
0.0b	(sqrt (exp (/ (+ x 1.0) (- 1.0 x))))
0.0b	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
0.0b	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
108×	`sqrt-pow1`
104×	`exp-prod`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-pow`
50×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`log-prod` `sqrt-prod`
10×	`pow1`
8×	`associate-/r/`
6×	`add-exp-log`
4×	`flip3--` `add-cbrt-cube` `pow1/2` `insert-posit16` `div-inv` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 168

Calls

4 calls:

48.0ms	(sqrt (exp (/ (+ x 1.0) (- 1.0 x))))
51.0ms	(sqrt (exp (/ (+ x 1.0) (- 1.0 x))))
24.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
41.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))

series814.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (exp (/ (+ x 1.0) (- 1.0 x))))
179.0ms	(sqrt (exp (/ (+ x 1.0) (- 1.0 x))))
232.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
273.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))

simplify1.7s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
3	2984
2	763
1	294
0	172

prune855.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
0.0b	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
0.0b	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
1.0b	(* (cbrt (log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))) (cbrt (log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

318×	`*-un-lft-identity`
249×	`log-pow`
233×	`sqrt-pow1`
226×	`exp-prod`
184×	`times-frac`
180×	`cbrt-prod`
168×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
59×	`swap-sqr`
53×	`distribute-lft-out`
44×	`distribute-lft-out--`
35×	`associate-r` `associate-l`
32×	`difference-of-squares`
27×	`pow1`
18×	`log-prod`
14×	`associate-/r/`
9×	`add-exp-log` `sqrt-prod`
7×	`flip3--` `pow1/2` `div-inv` `flip--`
6×	`pow1/3`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`rem-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

37.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
40.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
36.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
157.0ms	(* (cbrt (log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))) (cbrt (log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

218.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
232.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
268.0ms	(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
731.0ms	(* (cbrt (log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))) (cbrt (log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))))

simplify2.8s

Counts

296 → 296

Iterations

Iter	Nodes
done	5001
2	3262
1	611
0	340

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample534.0ms

Algorithm

intervals

Results

438.0ms

8000×

body

valid