Details

sample64.0ms

Algorithm

intervals

Results

32.0ms

455×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.6s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	59	14
3	110	14
4	203	14
5	377	14
6	1001	14
7	4428	13
done	5000	13

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
0.9b	(- (* x x) (* z z))
11.5b	(/ (- (* x x) (* z z)) y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

20.0ms	(+ y (/ (- (* x x) (* z z)) y))
10.0ms	(- (* x x) (* z z))
30.0ms	(/ (- (* x x) (* z z)) y)

series180.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ y (/ (- (* x x) (* z z)) y))
48.0ms	(- (* x x) (* z z))
66.0ms	(/ (- (* x x) (* z z)) y)

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	1078
1	323	1022
2	1389	947
done	5000	943

prune401.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ y (/ (+ x z) (/ y (- x z))))
0.2b	(/ (+ x z) (/ y (- x z)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 145

Calls

2 calls:

70.0ms	(+ y (/ (+ x z) (/ y (- x z))))
41.0ms	(/ (+ x z) (/ y (- x z)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ y (/ (+ x z) (/ y (- x z))))
81.0ms	(/ (+ x z) (/ y (- x z)))

simplify1.9s

Counts

151 → 151

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	241	2783
1	645	2607
2	3707	2488
done	5001	2473

prune671.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (/ (+ x z) y) (- x z)))
0.0b	(/ (+ x z) y)
0.2b	(* (/ (+ x z) y) (- x z))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 138

Calls

3 calls:

24.0ms	(+ y (* (/ (+ x z) y) (- x z)))
33.0ms	(/ (+ x z) y)
47.0ms	(* (/ (+ x z) y) (- x z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ y (* (/ (+ x z) y) (- x z)))
27.0ms	(/ (+ x z) y)
75.0ms	(* (/ (+ x z) y) (- x z))

simplify2.6s

Counts

147 → 147

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	219	2290
1	613	2016
2	3574	1762
done	5000	1708

prune711.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
0.0b	(/ (+ x z) y)
0.0b	(/ 1 (- x z))
0.3b	(/ (/ (+ x z) y) (/ 1 (- x z)))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

882×	`times-frac`
605×	`*-un-lft-identity`
463×	`add-sqr-sqrt`
353×	`add-cube-cbrt`
71×	`distribute-lft-out`
55×	`distribute-lft-out--` `difference-of-squares`
42×	`div-inv`
37×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/r*`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `fma-def` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 494

Calls

4 calls:

141.0ms	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
20.0ms	(/ (+ x z) y)
24.0ms	(/ 1 (- x z))
59.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
38.0ms	(/ (+ x z) y)
71.0ms	(/ 1 (- x z))
113.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

simplify1.4s

Counts

506 → 506

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	613	11621
1	2009	9938
done	5001	8989

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	13	13
done	13	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s

13682×

body

valid