Details

sample48.0ms

Algorithm

intervals

Results

21.0ms

331×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.7s)

Iter	Nodes	Cost
0	10	11
1	20	11
2	47	11
3	136	10
4	329	10
5	613	10
6	968	10
7	1434	9
8	3096	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (- x y) z) 0.5)
0.0b	(/ (- x y) z)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
76×	`times-frac`
67×	`add-cube-cbrt`
57×	`prod-diff`
19×	`fma-neg`
18×	`difference-of-squares`
17×	`distribute-lft-out--`
5×	`div-inv` `associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `div-sub` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

2 → 134

Calls

2 calls:

95.0ms	(- (/ (- x y) z) 0.5)
25.0ms	(/ (- x y) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (/ (- x y) z) 0.5)
38.0ms	(/ (- x y) z)

simplify2.8s

Counts

140 → 140

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	167	2544
1	369	1959
2	828	1722
3	2886	1385
done	5000	1328

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (/ x z) (/ y z)) 0.5)
0.0b	(- (/ x z) (/ y z))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

527×	`times-frac`
461×	`add-sqr-sqrt`
444×	`*-un-lft-identity`
399×	`add-cube-cbrt`
374×	`prod-diff`
171×	`associate--l+`
63×	`div-inv`
25×	`fma-neg`
23×	`distribute-lft-out--`
21×	`difference-of-squares`
9×	`add-log-exp`
5×	`distribute-rgt-out--`
4×	`diff-log`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`associate--l-` `frac-sub` `sub-div`

Counts

2 → 445

Calls

2 calls:

339.0ms	(- (- (/ x z) (/ y z)) 0.5)
55.0ms	(- (/ x z) (/ y z))

series73.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (- (/ x z) (/ y z)) 0.5)
40.0ms	(- (/ x z) (/ y z))

simplify1.9s

Counts

451 → 451

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	399	13534
1	873	11605
2	1891	8201
done	5001	5859

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (/ 1 1) (/ x z) (- (* (/ 1 z) y))) (- 0 0.5))
0.0b	(fma (/ 1 1) (/ x z) (- (* (/ 1 z) y)))
0.3b	(* (/ 1 z) y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`associate-l`
12×	`add-exp-log`
11×	`associate-+r+` `times-frac`
9×	`prod-diff`
8×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`prod-exp`
3×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u` `unswap-sqr`
2×	`sub0-neg` `div-exp` `sum-log` `cbrt-unprod` `fma-udef` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `rec-exp` `associate-+l+` `flip3-+` `diff-log` `1-exp` `unsub-neg` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--`

Counts

3 → 81

Calls

3 calls:

30.0ms	(+ (fma (/ 1 1) (/ x z) (- (* (/ 1 z) y))) (- 0 0.5))
0.0ms	(fma (/ 1 1) (/ x z) (- (* (/ 1 z) y)))
27.0ms	(* (/ 1 z) y)

series112.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (fma (/ 1 1) (/ x z) (- (* (/ 1 z) y))) (- 0 0.5))
47.0ms	(fma (/ 1 1) (/ x z) (- (* (/ 1 z) y)))
25.0ms	(* (/ 1 z) y)

simplify3.0s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	150	1218
1	323	798
2	870	631
3	3380	622
done	5000	622

prune209.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (sqrt x) (sqrt y))
0.1b	(fma (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) z) (- 0.5))
0.1b	(/ (- (sqrt x) (sqrt y)) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
69×	`sqrt-prod`
63×	`*-un-lft-identity`
43×	`add-cube-cbrt`
36×	`prod-diff`
27×	`times-frac`
20×	`difference-of-squares`
10×	`distribute-lft-out--`
9×	`associate-/l*`
6×	`fma-neg`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

3 → 128

Calls

3 calls:

15.0ms	(- (sqrt x) (sqrt y))
0.0ms	(fma (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) z) (- 0.5))
43.0ms	(/ (- (sqrt x) (sqrt y)) z)

series280.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- (sqrt x) (sqrt y))
150.0ms	(fma (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) z) (- 0.5))
54.0ms	(/ (- (sqrt x) (sqrt y)) z)

simplify1.9s

Counts

137 → 137

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	196	2426
1	423	1824
2	971	1530
3	3010	1397
done	5000	1378

prune324.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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	9
1	10	9
done	10	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

660.0ms

10175×

body

valid