Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite59.0ms

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-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

55.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify3.6s

Counts

50 → 50

Iterations

Useful iterations: 3 (472.0ms)

Iter	Nodes	Cost
0	93	646
1	215	616
2	569	584
3	1349	573
4	3656	573
done	5000	573

prune114.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.1b	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 191

Calls

3 calls:

37.0ms	(/ (+ x 1.0) (- 1.0 x))
28.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
35.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series163.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (+ x 1.0) (- 1.0 x))
45.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
79.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify1.7s

Counts

200 → 200

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	208	3519
1	566	2922
2	1740	2692
done	5000	2657

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 252

Calls

4 calls:

9.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
10.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
19.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
161.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
179.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
188.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
197.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify2.3s

Counts

264 → 264

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	227	5724
1	411	5299
2	1150	5153
3	2595	4820
done	5001	4792

prune765.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
3.7b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

0.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
42.0ms	(/ (+ x 1.0) (- 1.0 x))
1.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series396.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
51.0ms	(/ (+ x 1.0) (- 1.0 x))
157.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify3.4s

Counts

78 → 78

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	160	1068
1	378	998
2	1025	907
3	2933	871
done	5000	857

prune216.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample316.0ms

Algorithm

intervals

Results

162.0ms

8000×

body

valid