Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

23.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify818.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	2000
3	1863
2	594
1	222
0	94

prune153.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
1.6b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
3×	`expm1-log1p-u`
2×	`pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `log1p-expm1` `flip-+` `div-inv` `flip--`

Counts

2 → 60

Calls

2 calls:

34.0ms	(/ (+ x 1.0) (- 1.0 x))
0.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ x 1.0) (- 1.0 x))
154.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify619.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2000
2	880
1	312
0	131

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
0.0b	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
1.6b	(log1p (cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity`
149×	`times-frac`
125×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
57×	`add-cbrt-cube` `add-exp-log`
52×	`associate-r`
48×	`swap-sqr`
43×	`distribute-lft-out`
36×	`distribute-lft-out--`
30×	`pow1`
27×	`associate-l`
24×	`difference-of-squares`
22×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
11×	`frac-times` `associate-*l/`
10×	`associate-/r/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`unswap-sqr`
5×	`expm1-log1p-u` `flip3--` `div-inv` `flip--`
4×	`pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `log1p-udef` `pow1/3` `log1p-expm1` `rem-cbrt-cube`

Counts

4 → 241

Calls

4 calls:

91.0ms	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
63.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
49.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
0.0ms	(log1p (cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))))

series441.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
68.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
94.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
160.0ms	(log1p (cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))))

simplify718.0ms

Counts

253 → 253

Iterations

Iter	Nodes
done	2003
1	982
0	296

prune729.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

Error of 0.9b against oracle of 0.9b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample620.0ms

Algorithm

intervals

Results

458.0ms

8000×

body

valid