Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
6.0ms	(/ x (+ x 1.0))
49.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (- x 1.0))
41.0ms	(/ x (+ x 1.0))
125.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.7s

Counts

123 → 123

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	175	1183
1	398	1098
2	1005	1042
3	2566	1038
done	5000	1037

prune250.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.0b	(/ x (+ x 1.0))
0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`associate-/r/` `distribute-lft-out` `difference-of-squares`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `fma-udef`

Counts

3 → 80

Calls

3 calls:

0.0ms	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))
6.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
40.0ms	(/ x (+ x 1.0))
49.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.2s

Counts

89 → 89

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	169	1252
1	371	1200
2	1021	1088
3	3569	1084
done	5000	1067

prune218.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(* (- x 1.0) x)
15.8b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-times` `associate-/r/`
7×	`flip3--` `associate-r` `flip--`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `fma-udef` `div-inv` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

0.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
17.0ms	(* (- x 1.0) (+ x 1.0))
10.0ms	(* (- x 1.0) x)
8.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
76.0ms	(* (- x 1.0) (+ x 1.0))
40.0ms	(* (- x 1.0) x)
123.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify836.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	156	1605
1	396	1574
2	1617	1387
done	5000	1387

prune244.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	10	18
done	10	18

end0.0ms

sample290.0ms

Algorithm

intervals

Results

191.0ms

8000×

body

valid