Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

292×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	19	7
3	43	7
4	70	7
5	88	7
6	96	7
7	116	7
8	158	7
9	464	7
10	2554	7
done	5000	7

prune2.0ms

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

13.0ms	(- (* (+ x 1.0) y) x)
22.0ms	(* (+ x 1.0) y)

series72.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (* (+ x 1.0) y) x)
44.0ms	(* (+ x 1.0) y)

simplify454.0ms

Counts

39 → 39

Iterations

Useful iterations: done (453.0ms)

Iter	Nodes	Cost
0	63	360
1	154	332
2	633	308
done	5000	304

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
0.1b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

4 → 83

Calls

4 calls:

10.0ms	(sqrt (+ x 1.0))
71.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
25.0ms	(* (sqrt (+ x 1.0)) y)
61.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series216.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ x 1.0))
33.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
110.0ms	(* (sqrt (+ x 1.0)) y)
40.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify881.0ms

Counts

95 → 95

Iterations

Useful iterations: done (877.0ms)

Iter	Nodes	Cost
0	148	1307
1	365	1183
2	1459	893
done	5001	873

prune264.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (* 1.0 (- 1.0 x)))) x)
0.0b	(+ (* x x) (* 1.0 (- 1.0 x)))
4.5b	(* (+ (pow x 3) (pow 1.0 3)) y)
13.8b	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (* 1.0 (- 1.0 x))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

111.0ms	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (* 1.0 (- 1.0 x)))) x)
15.0ms	(+ (* x x) (* 1.0 (- 1.0 x)))
92.0ms	(* (+ (pow x 3) (pow 1.0 3)) y)
63.0ms	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (* 1.0 (- 1.0 x))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (* 1.0 (- 1.0 x)))) x)
29.0ms	(+ (* x x) (* 1.0 (- 1.0 x)))
58.0ms	(* (+ (pow x 3) (pow 1.0 3)) y)
110.0ms	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (* 1.0 (- 1.0 x))))

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	140	1766
1	406	1672
2	2290	1494
done	5002	1488

prune334.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 x) y)
0.0b	(sqrt (* (+ 1.0 x) y))
0.0b	(sqrt (* (+ 1.0 x) y))
0.3b	(* (sqrt (* (+ 1.0 x) y)) (sqrt (* (+ 1.0 x) y)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

21.0ms	(* (+ 1.0 x) y)
9.0ms	(sqrt (* (+ 1.0 x) y))
13.0ms	(sqrt (* (+ 1.0 x) y))
96.0ms	(* (sqrt (* (+ 1.0 x) y)) (sqrt (* (+ 1.0 x) y)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ 1.0 x) y)
131.0ms	(sqrt (* (+ 1.0 x) y))
93.0ms	(sqrt (* (+ 1.0 x) y))
94.0ms	(* (sqrt (* (+ 1.0 x) y)) (sqrt (* (+ 1.0 x) y)))

simplify900.0ms

Counts

116 → 116

Iterations

Useful iterations: done (896.0ms)

Iter	Nodes	Cost
0	124	1352
1	301	1008
2	1485	912
done	5001	894

prune298.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample670.0ms

Algorithm

intervals

Results

338.0ms	9178×	body	80	valid
0.0ms	1×	body	640	valid