Details

sample41.0ms

Algorithm

intervals

Results

10.0ms	212×	body	80	valid
6.0ms	34×	body	640	valid
2.0ms	17×	body	320	valid
2.0ms	9×	body	1280	valid
1.0ms	13×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.6b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite73.0ms

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:

58.0ms	(* (- 1.0 x) (- 1.0 y))
13.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 1.0 y))
32.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify632.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
2	1250
1	285
0	101

prune232.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

18.0ms	(* y (- x 1.0))
11.0ms	(+ 1.0 (* y (- x 1.0)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- x 1.0))
40.0ms	(+ 1.0 (* y (- x 1.0)))

simplify1.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	3059
2	595
1	185
0	72

prune216.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

39.0ms	(+ (+ (* y x) 1.0) (* (- 1.0) y))
6.0ms	(+ (* y x) 1.0)

series63.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (+ (* y x) 1.0) (* (- 1.0) y))
31.0ms	(+ (* y x) 1.0)

simplify609.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5001
2	944
1	172
0	53

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* y x) 1.0) 3)) (* (- 1.0) y))
0.0b	(+ (* y x) 1.0)
0.1b	(pow (+ (* y x) 1.0) 3)
15.0b	(cbrt (pow (+ (* y x) 1.0) 3))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`distribute-lft-neg-out` `cube-mult` `+-commutative` `cbrt-div` `sum-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `unsub-neg` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

90.0ms	(+ (cbrt (pow (+ (* y x) 1.0) 3)) (* (- 1.0) y))
8.0ms	(+ (* y x) 1.0)
18.0ms	(pow (+ (* y x) 1.0) 3)
17.0ms	(cbrt (pow (+ (* y x) 1.0) 3))

series182.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (cbrt (pow (+ (* y x) 1.0) 3)) (* (- 1.0) y))
32.0ms	(+ (* y x) 1.0)
72.0ms	(pow (+ (* y x) 1.0) 3)
38.0ms	(cbrt (pow (+ (* y x) 1.0) 3))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	2369
1	377
0	111

prune370.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

473.0ms	615×	body	320	valid
320.0ms	6916×	body	80	valid
143.0ms	823×	body	640	valid
116.0ms	448×	body	1280	valid
23.0ms	344×	body	160	valid