Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	65×	body	640	valid
7.0ms	129×	body	80	valid
6.0ms	43×	body	320	valid
2.0ms	19×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize8.0ms

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 1.0)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

643×	`*-un-lft-identity`
574×	`times-frac`
477×	`add-sqr-sqrt`
378×	`prod-diff`
357×	`add-cube-cbrt`
84×	`associate-/r/`
76×	`distribute-lft-out`
75×	`distribute-lft-out--`
58×	`difference-of-squares`
43×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
20×	`flip--`
19×	`flip3--`
18×	`fma-neg`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub`

Counts

2 → 465

Calls

2 calls:

13.0ms	(/ 1.0 (+ x 1.0))
160.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series313.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1.0 (+ x 1.0))
278.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

471 → 471

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	506	23879
1	1142	21354
2	2526	15850
done	5001	12037

prune518.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite618.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`prod-diff`
18×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
11×	`associate--l+` `distribute-lft-out--`
9×	`flip3--` `flip--`
8×	`associate-*r/` `associate-/r/` `frac-sub`
7×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`diff-log` `associate-/l/` `difference-of-squares`
5×	`fma-neg`
4×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `expm1-log1p-u` `sub-neg` `associate-*l/` `sum-log` `log1p-expm1-u`
1×	`associate--l-` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l` `associate--r+`

Counts

2 → 101

Calls

2 calls:

517.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
96.0ms	(- (- x 1.0) (+ x 1.0))

series87.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
12.0ms	(- (- x 1.0) (+ x 1.0))

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	200	2309
1	600	1931
2	3215	1522
done	5002	1487

prune213.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 1 expressions with local error:

0.7b	(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
4×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`pow1` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `distribute-frac-neg` `clear-num` `associate-/r` `distribute-rgt-neg-out` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

37.0ms

(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

simplify1.2s

Counts

35 → 35

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	101	647
1	321	619
2	1674	503
done	5000	501

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.1b	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 115

Calls

2 calls:

32.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
55.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series131.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
97.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify1.2s

Counts

121 → 121

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	208	2254
1	582	2112
2	2166	1959
done	5000	1957

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	19	12
3	22	12
done	22	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

369.0ms	1898×	body	640	valid
270.0ms	4196×	body	80	valid
208.0ms	1273×	body	320	valid
50.0ms	633×	body	160	valid