Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	65×	body	640	valid
6.0ms	129×	body	80	valid
5.0ms	42×	body	320	valid
2.0ms	20×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

13.0ms	(/ 1.0 (+ x 1.0))
138.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (+ x 1.0))
75.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.4s

Counts

320 → 320

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	387	12162
1	867	10606
2	1927	7734
done	5001	6020

prune503.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.9b	(- x (+ x 1.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `flip3--` `diff-log` `associate-r/` `associate-l/` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `sum-log` `flip-+` `div-inv` `associate-/l` `associate--r+` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

72.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
26.0ms	(- x (+ x 1.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms	(- x (+ x 1.0))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	133	1156
1	374	853
2	1774	585
done	5000	561

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

1907×	`times-frac`
1129×	`*-un-lft-identity`
823×	`add-sqr-sqrt` `add-cube-cbrt`
243×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
175×	`associate-/l*`
153×	`distribute-lft-out`
81×	`neg-mul-1`
57×	`div-inv`
19×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 889

Calls

2 calls:

41.0ms	(/ (- 1.0) (/ (+ x 1.0) 1.0))
113.0ms	(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- 1.0) (/ (+ x 1.0) 1.0))
47.0ms	(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

simplify2.0s

Counts

895 → 895

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	1105	19020
1	2602	17526
done	5000	16948

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite555.0ms

Algorithm

rewrite-expression-head

Rules

1036×	`times-frac`
866×	`cbrt-prod`
718×	`*-un-lft-identity`
658×	`add-sqr-sqrt`
448×	`add-cube-cbrt`
155×	`swap-sqr`
119×	`associate-r` `associate-l`
117×	`distribute-lft-out`
49×	`unswap-sqr`
31×	`div-inv`
16×	`add-exp-log`
11×	`pow1`
8×	`add-cbrt-cube`
7×	`cbrt-div`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 549

Calls

4 calls:

5.0ms	(cbrt (/ (+ x 1.0) 1.0))
5.0ms	(cbrt (/ (+ x 1.0) 1.0))
5.0ms	(cbrt (/ (+ x 1.0) 1.0))
424.0ms	(* (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) 1.0))) (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) 1.0))))

series811.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (/ (+ x 1.0) 1.0))
214.0ms	(cbrt (/ (+ x 1.0) 1.0))
201.0ms	(cbrt (/ (+ x 1.0) 1.0))
177.0ms	(* (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) 1.0))) (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) 1.0))))

simplify1.7s

Counts

561 → 561

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	656	16613
1	2063	15777
done	5000	15157

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	10
done	12	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

392.0ms	1903×	body	640	valid
218.0ms	4195×	body	80	valid
190.0ms	1268×	body	320	valid
47.0ms	634×	body	160	valid