Details

sample21.0ms

Algorithm

intervals

Results

5.0ms	212×	body	80	valid
3.0ms	35×	body	640	valid
2.0ms	20×	body	1280	valid
1.0ms	20×	body	320	valid
0.0ms	9×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4185
5	821
4	257
3	78
2	27
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.8b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `frac-times` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

50.0ms	(* (- 1.0 x) (- 1.0 y))
6.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- 1.0 x) (- 1.0 y))
30.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
2	1250
1	285
0	101

prune242.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y (- x 1.0)))
0.0b	(* y (- x 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

8.0ms	(+ 1.0 (* y (- x 1.0)))
25.0ms	(* y (- x 1.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ 1.0 (* y (- x 1.0)))
48.0ms	(* y (- x 1.0))

simplify1.7s

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
3	3177
2	592
1	185
0	72

prune185.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y x) (* y (- 1.0)))
0.0b	(+ 1.0 (+ (* y x) (* y (- 1.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity` `distribute-rgt-neg-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `flip3-+` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 30

Calls

2 calls:

9.0ms	(+ (* y x) (* y (- 1.0)))
19.0ms	(+ 1.0 (+ (* y x) (* y (- 1.0))))

series100.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* y x) (* y (- 1.0)))
38.0ms	(+ 1.0 (+ (* y x) (* y (- 1.0))))

simplify2.6s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	4624
2	727
1	181
0	55

prune104.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) (* y (- 1.0)))
0.0b	(+ (* y x) (* y (- 1.0)))
0.1b	(* (+ (* y x) (* y (- 1.0))) (+ (* y x) (* y (- 1.0))))
17.6b	(/ (- (* 1.0 1.0) (* (+ (* y x) (* y (- 1.0))) (+ (* y x) (* y (- 1.0))))) (- 1.0 (+ (* y x) (* y (- 1.0)))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
11×	`pow1` `difference-of-squares`
8×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `add-log-exp`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `distribute-rgt-neg-out` `associate-/l*`
2×	`+-commutative` `sum-log` `flip3--` `unsub-neg` `associate-l/` `associate-r/` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(+ (* y x) (* y (- 1.0)))
8.0ms	(+ (* y x) (* y (- 1.0)))
40.0ms	(* (+ (* y x) (* y (- 1.0))) (+ (* y x) (* y (- 1.0))))
35.0ms	(/ (- (* 1.0 1.0) (* (+ (* y x) (* y (- 1.0))) (+ (* y x) (* y (- 1.0))))) (- 1.0 (+ (* y x) (* y (- 1.0)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* y x) (* y (- 1.0)))
54.0ms	(+ (* y x) (* y (- 1.0)))
49.0ms	(* (+ (* y x) (* y (- 1.0))) (+ (* y x) (* y (- 1.0))))
159.0ms	(/ (- (* 1.0 1.0) (* (+ (* y x) (* y (- 1.0))) (+ (* y x) (* y (- 1.0))))) (- 1.0 (+ (* y x) (* y (- 1.0)))))

simplify2.3s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	3891
1	553
0	169

prune588.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
3	19
2	18
1	14
0	8

end0.0ms

sample857.0ms

Algorithm

intervals

Results

328.0ms	6966×	body	80	valid
123.0ms	831×	body	640	valid
100.0ms	418×	body	1280	valid
58.0ms	588×	body	320	valid
20.0ms	323×	body	160	valid