Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

301×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) (* y x))
0.0b	(+ (+ (/ x 2.0) (* y x)) z)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

24.0ms	(+ (/ x 2.0) (* y x))
96.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series123.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(+ (/ x 2.0) (* y x))
43.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify1.4s

Counts

31 → 31

Iterations

Iter	Nodes
done	5002
3	2140
2	556
1	164
0	55

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ 0.5 y) x) z)
0.0b	(* (+ 0.5 y) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

18.0ms	(+ (* (+ 0.5 y) x) z)
27.0ms	(* (+ 0.5 y) x)

series102.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (+ 0.5 y) x) z)
51.0ms	(* (+ 0.5 y) x)

simplify956.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	718
1	177
0	66

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x (* (- 0.5 y) (+ 0.5 y))) (- 0.5 y)) z)
0.0b	(* (- 0.5 y) (+ 0.5 y))
4.3b	(* x (* (- 0.5 y) (+ 0.5 y)))
10.7b	(/ (* x (* (- 0.5 y) (+ 0.5 y))) (- 0.5 y))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*r/`
20×	`add-cbrt-cube` `add-exp-log`
19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
12×	`frac-times`
11×	`pow1`
10×	`flip3-+` `flip3--` `flip-+` `flip--`
9×	`add-cube-cbrt`
8×	`associate-l` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*l/` `add-log-exp`
5×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `associate-r*`
4×	`pow-prod-down`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `*-commutative` `distribute-lft-out`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

58.0ms	(+ (/ (* x (* (- 0.5 y) (+ 0.5 y))) (- 0.5 y)) z)
45.0ms	(* (- 0.5 y) (+ 0.5 y))
47.0ms	(* x (* (- 0.5 y) (+ 0.5 y)))
100.0ms	(/ (* x (* (- 0.5 y) (+ 0.5 y))) (- 0.5 y))

series381.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (/ (* x (* (- 0.5 y) (+ 0.5 y))) (- 0.5 y)) z)
111.0ms	(* (- 0.5 y) (+ 0.5 y))
152.0ms	(* x (* (- 0.5 y) (+ 0.5 y)))
68.0ms	(/ (* x (* (- 0.5 y) (+ 0.5 y))) (- 0.5 y))

simplify2.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	4262
1	580
0	175

prune786.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 0.5 y) (+ 0.5 y))
0.0b	(/ 1 (- 0.5 y))
4.3b	(* x (* (- 0.5 y) (+ 0.5 y)))
10.7b	(* (* x (* (- 0.5 y) (+ 0.5 y))) (/ 1 (- 0.5 y)))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
44×	`add-sqr-sqrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
33×	`associate-*r/`
30×	`times-frac`
28×	`prod-exp`
26×	`associate-r` `add-cube-cbrt`
24×	`frac-times`
21×	`pow1`
16×	`associate-*l/` `cbrt-unprod`
14×	`flip3--` `flip--`
12×	`flip3-+` `flip-+`
10×	`pow-prod-down`
9×	`associate-l`
8×	`div-exp` `distribute-lft-out--` `difference-of-squares`
5×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv`
1×	`clear-num` `frac-2neg` `un-div-inv` `pow-flip` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

36.0ms	(* (- 0.5 y) (+ 0.5 y))
11.0ms	(/ 1 (- 0.5 y))
69.0ms	(* x (* (- 0.5 y) (+ 0.5 y)))
212.0ms	(* (* x (* (- 0.5 y) (+ 0.5 y))) (/ 1 (- 0.5 y)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (- 0.5 y) (+ 0.5 y))
42.0ms	(/ 1 (- 0.5 y))
101.0ms	(* x (* (- 0.5 y) (+ 0.5 y)))
66.0ms	(* (* x (* (- 0.5 y) (+ 0.5 y))) (/ 1 (- 0.5 y)))

simplify973.0ms

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
1	781
0	241

prune970.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample805.0ms

Algorithm

intervals

Results

499.0ms	9178×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid