Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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:

31.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify699.0ms

Counts

50 → 50

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	93	646
1	221	616
2	874	584
done	5000	575

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

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:

135.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
15.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
13.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
10.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
164.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
137.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
161.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify1.4s

Counts

264 → 264

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	227	5724
1	441	5299
2	1865	5153
done	5001	4917

prune687.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3--` `flip--` `distribute-lft-out--`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

43.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))

series436.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
92.0ms	(cbrt (+ x 1.0))
108.0ms	(cbrt (+ x 1.0))
103.0ms	(cbrt (+ x 1.0))

simplify763.0ms

Counts

118 → 118

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	172	1583
1	389	1432
2	1377	1370
done	5001	1300

prune725.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.1b	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-r` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*r/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 95

Calls

2 calls:

18.0ms	(/ 1 (- 1.0 x))
62.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- 1.0 x))
37.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

simplify2.8s

Counts

101 → 101

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	152	1150
1	514	1031
2	4027	871
done	5001	867

prune238.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	49
1	20	49
done	20	49

end0.0ms

sample549.0ms

Algorithm

intervals

Results

354.0ms

8000×

body

valid