Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	47×	body	640	valid
6.0ms	56×	body	320	valid
6.0ms	139×	body	80	valid
1.0ms	14×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

11.0ms	(/ 1.0 (+ x 1.0))
13.0ms	(/ 1.0 (- x 1.0))
125.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1.0 (+ x 1.0))
39.0ms	(/ 1.0 (- x 1.0))
230.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.7s

Counts

513 → 513

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	525	24322
1	1194	21760
2	2656	16242
done	5000	12452

prune507.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 99

Calls

2 calls:

17.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
79.0ms	(- (- x 1.0) (+ x 1.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.9s

Counts

105 → 105

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	196	1915
1	492	1565
2	1869	1321
done	5000	1113

prune199.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
48×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
25×	`times-frac`
22×	`associate--l+`
18×	`associate-l`
14×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-r`
4×	`pow1` `sub-neg` `flip3--` `associate-/r*` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 137

Calls

2 calls:

156.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
18.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
51.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.8s

Counts

143 → 143

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	273	3956
1	673	3219
2	1963	2268
done	5000	2020

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 -2) (+ x 1.0))
0.1b	(/ (/ (* 1.0 -2) (+ x 1.0)) (- x 1.0))

rewrite61.0ms

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-+`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 113

Calls

2 calls:

20.0ms	(/ (* 1.0 -2) (+ x 1.0))
36.0ms	(/ (/ (* 1.0 -2) (+ x 1.0)) (- x 1.0))

series136.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (* 1.0 -2) (+ x 1.0))
103.0ms	(/ (/ (* 1.0 -2) (+ x 1.0)) (- x 1.0))

simplify1.9s

Counts

119 → 119

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	205	2098
1	562	1954
2	1968	1819
done	5000	1816

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
done	12	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

440.0ms	1890×	body	640	valid
265.0ms	4151×	body	80	valid
179.0ms	1309×	body	320	valid
53.0ms	650×	body	160	valid