Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	58×	body	640	valid
10.0ms	135×	body	80	valid
6.0ms	36×	body	320	valid
3.0ms	27×	body	160	valid

simplify14.0ms

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: 16.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
4.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite240.0ms

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:

19.0ms	(/ 1.0 (- x 1.0))
19.0ms	(/ 1.0 (+ x 1.0))
143.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1.0 (- x 1.0))
34.0ms	(/ 1.0 (+ x 1.0))
246.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.6s

Counts

513 → 513

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	525	24322
1	1194	21760
2	2660	16242
done	5002	12452

prune737.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.9b	(- (- x 1.0) (+ x 1.0))

rewrite142.0ms

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)))
120.0ms	(- (- x 1.0) (+ x 1.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

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

prune295.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

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)))

rewrite224.0ms

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:

184.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
26.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
95.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.1s

Counts

143 → 143

Iterations

Useful iterations: done (2.1s)

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

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite90.0ms

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:

22.0ms	(/ (* 1.0 -2) (+ x 1.0))
57.0ms	(/ (/ (* 1.0 -2) (+ x 1.0)) (- x 1.0))

series137.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (* 1.0 -2) (+ x 1.0))
99.0ms	(/ (/ (* 1.0 -2) (+ x 1.0)) (- x 1.0))

simplify1.8s

Counts

119 → 119

Iterations

Useful iterations: done (1.8s)

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

prune343.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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

sample1.6s

Algorithm

intervals

Results

873.0ms	1903×	body	640	valid
255.0ms	4221×	body	80	valid
215.0ms	1225×	body	320	valid
63.0ms	651×	body	160	valid