Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

286×

body

valid

simplify252.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	81	11
7	114	11
8	129	11
9	135	11
10	139	11
11	149	11
12	153	11
13	155	11
done	155	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.2b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

25.0ms	(+ (/ x y) 1.0)
66.0ms	(* x (+ (/ x y) 1.0))
38.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (/ x y) 1.0)
36.0ms	(* x (+ (/ x y) 1.0))
66.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.4s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	113	900
1	309	865
2	1124	759
3	4510	754
done	5000	754

prune221.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

25.0ms	(+ (/ x y) 1.0)
54.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
43.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series176.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (/ x y) 1.0)
67.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
92.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

186 → 186

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	217	3143
1	496	2949
2	1722	2825
done	5001	2810

prune352.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1 (/ x y) 1.0)
0.1b	(* x (fma 1 (/ x y) 1.0))
9.2b	(/ (* x (fma 1 (/ x y) 1.0)) (+ x 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma 1 (/ x y) 1.0)
11.0ms	(* x (fma 1 (/ x y) 1.0))
24.0ms	(/ (* x (fma 1 (/ x y) 1.0)) (+ x 1.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(fma 1 (/ x y) 1.0)
47.0ms	(* x (fma 1 (/ x y) 1.0))
61.0ms	(/ (* x (fma 1 (/ x y) 1.0)) (+ x 1.0))

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: 3 (857.0ms)

Iter	Nodes	Cost
0	100	868
1	235	769
2	782	660
3	3343	659
done	5000	659

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.3b	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
3.6b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
10.4b	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

1482×	`times-frac`
895×	`add-sqr-sqrt`
877×	`*-un-lft-identity`
523×	`add-cube-cbrt`
249×	`difference-of-squares`
105×	`distribute-lft-out`
78×	`associate-/l*`
72×	`distribute-lft-out--`
62×	`associate-/r/`
39×	`div-inv`
32×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
27×	`flip3--` `flip--`
14×	`cbrt-undiv` `div-exp`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 743

Calls

4 calls:

35.0ms	(* (/ x y) (/ x y))
61.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
51.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
120.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series338.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (/ x y) (/ x y))
90.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
100.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
112.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify1.9s

Counts

755 → 755

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	1006	29565
1	2622	27946
done	5000	27356

prune2.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

831.0ms

9148×

body

valid