Details

sample71.0ms

Algorithm

intervals

Results

51.0ms

469×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1686
6	586
5	291
4	185
3	108
2	57
1	23
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z x))
0.0b	(+ (/ (- x z) (/ y (+ z x))) y)
0.3b	(/ (- x z) (/ y (+ z x)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

324×	`times-frac`
288×	`*-un-lft-identity`
212×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
95×	`fma-def`
38×	`distribute-lft-out`
37×	`distribute-lft-out--` `difference-of-squares`
26×	`associate-/r/`
22×	`associate-/r*`
14×	`div-inv`
13×	`flip3-+` `flip-+`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `div-sub` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3--` `associate-+l-` `flip--`

Counts

3 → 281

Calls

3 calls:

8.0ms	(/ y (+ z x))
89.0ms	(+ (/ (- x z) (/ y (+ z x))) y)
29.0ms	(/ (- x z) (/ y (+ z x)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ y (+ z x))
53.0ms	(+ (/ (- x z) (/ y (+ z x))) y)
67.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.8s

Counts

290 → 290

Iterations

Iter	Nodes
done	5001
2	2869
1	803
0	264

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z x))
0.0b	(+ y (/ (- x z) (/ y (+ z x))))
0.3b	(/ (- x z) (/ y (+ z x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
23×	`distribute-lft-out`
22×	`associate-/r*`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `flip--`

Counts

3 → 189

Calls

3 calls:

8.0ms	(/ y (+ z x))
26.0ms	(+ y (/ (- x z) (/ y (+ z x))))
20.0ms	(/ (- x z) (/ y (+ z x)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ y (+ z x))
64.0ms	(+ y (/ (- x z) (/ y (+ z x))))
72.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.8s

Counts

198 → 198

Iterations

Iter	Nodes
done	5002
2	2853
1	802
0	264

prune796.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ z x))
0.0b	(/ (- x z) y)
0.0b	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
0.3b	(/ (/ (- x z) y) (/ 1 (+ z x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
607×	`*-un-lft-identity`
477×	`add-sqr-sqrt`
355×	`add-cube-cbrt`
65×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
25×	`associate-/r*`
22×	`flip3-+` `flip-+`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `fma-def` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `pow-flip` `flip--` `inv-pow`

Counts

4 → 507

Calls

4 calls:

8.0ms	(/ 1 (+ z x))
12.0ms	(/ (- x z) y)
42.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
28.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (+ z x))
52.0ms	(/ (- x z) y)
71.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
69.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

simplify2.0s

Counts

519 → 519

Iterations

Iter	Nodes
done	5001
1	1990
0	630

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (- x z) (* (/ 1 y) (+ x z))))
0.2b	(* (/ 1 y) (+ x z))
0.3b	(* (- x z) (* (/ 1 y) (+ x z)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
22×	`add-sqr-sqrt`
18×	`frac-times` `-un-lft-identity` `associate-l*`
17×	`add-cbrt-cube`
13×	`prod-exp` `associate-*r/` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
7×	`cbrt-unprod`
6×	`flip3--` `associate-*l/` `flip--`
5×	`associate-r` `add-log-exp`
4×	`associate-+r+` `div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`+-commutative` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 114

Calls

3 calls:

12.0ms	(+ y (* (- x z) (* (/ 1 y) (+ x z))))
20.0ms	(* (/ 1 y) (+ x z))
68.0ms	(* (- x z) (* (/ 1 y) (+ x z)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ y (* (- x z) (* (/ 1 y) (+ x z))))
28.0ms	(* (/ 1 y) (+ x z))
65.0ms	(* (- x z) (* (/ 1 y) (+ x z)))

simplify1.5s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	2361
1	645
0	200

prune506.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.1b 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	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

13793×

body

valid