Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

301×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

135.0ms	(+ (+ (/ x 2.0) (* y x)) z)
32.0ms	(+ (/ x 2.0) (* y x))

series132.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (+ (/ x 2.0) (* y x)) z)
73.0ms	(+ (/ x 2.0) (* y x))

simplify1.4s

Counts

31 → 31

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	55	400
1	163	376
2	536	346
3	1813	340
done	5000	336

prune92.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

16.0ms	(+ (* x (+ y 0.5)) z)
26.0ms	(* x (+ y 0.5))

series68.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x (+ y 0.5)) z)
36.0ms	(* x (+ y 0.5))

simplify2.1s

Counts

42 → 42

Iterations

Useful iterations: 3 (671.0ms)

Iter	Nodes	Cost
0	70	376
1	196	352
2	590	322
3	2513	318
done	5000	318

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
2.9b	(* x (- (* y y) (* 0.5 0.5)))
8.6b	(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

95.0ms	(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
34.0ms	(* x (- (* y y) (* 0.5 0.5)))
51.0ms	(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

series322.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
91.0ms	(* x (- (* y y) (* 0.5 0.5)))
110.0ms	(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	139	1215
1	375	1158
2	1241	1006
done	5001	810

prune196.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample955.0ms

Algorithm

intervals

Results

392.0ms	9139×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid