Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

330×

body

valid

simplify723.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	42	7
3	82	7
4	166	7
5	294	7
6	306	7
done	306	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

82.0ms

(* (+ x y) (+ z 1.0))

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(* (+ x y) (+ z 1.0))

simplify1.2s

Counts

33 → 33

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	79	415
1	277	396
2	1321	370
done	5000	368

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

76.0ms	(* z (+ x y))
30.0ms	(+ (* z (+ x y)) (* 1.0 (+ x y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* z (+ x y))
70.0ms	(+ (* z (+ x y)) (* 1.0 (+ x y)))

simplify2.5s

Counts

49 → 49

Iterations

Useful iterations: 2 (399.0ms)

Iter	Nodes	Cost
0	101	683
1	333	583
2	1559	533
done	5001	533

prune554.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 2 expressions with local error:

0.8b	(* (- (* z z) (* 1.0 1.0)) (+ x y))
11.9b	(/ (* (- (* z z) (* 1.0 1.0)) (+ x y)) (- z 1.0))

rewrite954.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

278.0ms	(* (- (* z z) (* 1.0 1.0)) (+ x y))
601.0ms	(/ (* (- (* z z) (* 1.0 1.0)) (+ x y)) (- z 1.0))

series313.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(* (- (* z z) (* 1.0 1.0)) (+ x y))
172.0ms	(/ (* (- (* z z) (* 1.0 1.0)) (+ x y)) (- z 1.0))

simplify4.0s

Counts

71 → 71

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	143	1360
1	485	1300
2	2990	1114
done	5001	1106

prune529.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes336.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	10090×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid