Details

sample36.0ms

Algorithm

intervals

Results

15.0ms	315×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	160	valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

33.0ms	(* x (+ y z))
10.0ms	(+ (* x (+ y z)) (* z 5.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ y z))
47.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify577.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1001
1	225
0	72

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

12.0ms	(+ (* x y) (* z (+ x 5.0)))
16.0ms	(* z (+ x 5.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* x y) (* z (+ x 5.0)))
44.0ms	(* z (+ x 5.0))

simplify563.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1040
1	224
0	70

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 5.0))
0.0b	(+ (* x y) (* (* (sqrt (+ x 5.0)) z) (sqrt (+ x 5.0))))
0.3b	(* (* (sqrt (+ x 5.0)) z) (sqrt (+ x 5.0)))
0.3b	(* (sqrt (+ x 5.0)) z)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

10.0ms	(sqrt (+ x 5.0))
12.0ms	(+ (* x y) (* (* (sqrt (+ x 5.0)) z) (sqrt (+ x 5.0))))
55.0ms	(* (* (sqrt (+ x 5.0)) z) (sqrt (+ x 5.0)))
36.0ms	(* (sqrt (+ x 5.0)) z)

series230.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ x 5.0))
33.0ms	(+ (* x y) (* (* (sqrt (+ x 5.0)) z) (sqrt (+ x 5.0))))
46.0ms	(* (* (sqrt (+ x 5.0)) z) (sqrt (+ x 5.0)))
119.0ms	(* (sqrt (+ x 5.0)) z)

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	2032
1	407
0	155

prune519.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 5.0 (- 5.0 x))
0.0b	(+ (* x y) (/ (* (+ (pow 5.0 3) (pow x 3)) z) (+ (* x x) (* 5.0 (- 5.0 x)))))
3.6b	(* (+ (pow 5.0 3) (pow x 3)) z)
11.1b	(/ (* (+ (pow 5.0 3) (pow x 3)) z) (+ (* x x) (* 5.0 (- 5.0 x))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

33.0ms	(* 5.0 (- 5.0 x))
43.0ms	(+ (* x y) (/ (* (+ (pow 5.0 3) (pow x 3)) z) (+ (* x x) (* 5.0 (- 5.0 x)))))
70.0ms	(* (+ (pow 5.0 3) (pow x 3)) z)
33.0ms	(/ (* (+ (pow 5.0 3) (pow x 3)) z) (+ (* x x) (* 5.0 (- 5.0 x))))

series371.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 5.0 (- 5.0 x))
136.0ms	(+ (* x y) (/ (* (+ (pow 5.0 3) (pow x 3)) z) (+ (* x x) (* 5.0 (- 5.0 x)))))
57.0ms	(* (+ (pow 5.0 3) (pow x 3)) z)
118.0ms	(/ (* (+ (pow 5.0 3) (pow x 3)) z) (+ (* x x) (* 5.0 (- 5.0 x))))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2388
1	475
0	167

prune618.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

961.0ms	9755×	body	80	valid
66.0ms	137×	body	1280	valid
24.0ms	116×	body	640	valid
9.0ms	63×	body	320	valid
4.0ms	38×	body	160	valid