Details

sample61.0ms

Algorithm

intervals

Results

38.0ms

461×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite218.0ms

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` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `div-sub` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3--` `associate-+l-` `flip--`

Counts

3 → 278

Calls

3 calls:

151.0ms	(+ (/ (- x z) (/ y (+ z x))) y)
11.0ms	(/ y (+ z x))
27.0ms	(/ (- x z) (/ y (+ z x)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (/ (- x z) (/ y (+ z x))) y)
31.0ms	(/ y (+ z x))
73.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.8s

Counts

287 → 287

Iterations

Iter	Nodes
done	5028
2	2841
1	800
0	261

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

213.0ms	(+ (* (* (* (/ 1 y) (+ z x)) (- z x)) (/ (- x z) (- z x))) y)
71.0ms	(* (* (/ 1 y) (+ z x)) (- z x))
38.0ms	(* (/ 1 y) (+ z x))

series209.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* (* (* (/ 1 y) (+ z x)) (- z x)) (/ (- x z) (- z x))) y)
114.0ms	(* (* (/ 1 y) (+ z x)) (- z x))
28.0ms	(* (/ 1 y) (+ z x))

simplify2.7s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	3227
1	872
0	245

prune661.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

1734×	`times-frac`
1143×	`*-un-lft-identity`
899×	`add-sqr-sqrt`
669×	`add-cube-cbrt`
347×	`fma-def`
122×	`distribute-lft-out`
115×	`distribute-lft-out--` `difference-of-squares`
82×	`associate-/r/`
80×	`div-inv`
41×	`flip3-+` `flip-+`
32×	`add-exp-log`
27×	`associate-/l*`
25×	`associate-/r*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3--` `associate-+l-` `pow-flip` `flip--` `inv-pow`

Counts

4 → 847

Calls

4 calls:

247.0ms	(+ (/ (/ (- x z) y) (/ 1 (+ z x))) y)
15.0ms	(/ 1 (+ z x))
20.0ms	(/ (- x z) y)
53.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (/ (/ (- x z) y) (/ 1 (+ z x))) y)
37.0ms	(/ 1 (+ z x))
32.0ms	(/ (- x z) y)
62.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

simplify1.5s

Counts

859 → 859

Iterations

Iter	Nodes
done	5000
1	1985
0	626

prune3.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ y (+ z x)) (- x z))) y)
0.0b	(/ y (+ z x))
0.2b	(/ (/ y (+ z x)) (- x z))
0.4b	(/ 1 (/ (/ y (+ z x)) (- x z)))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

1800×	`times-frac`
1234×	`*-un-lft-identity`
977×	`add-sqr-sqrt`
687×	`add-cube-cbrt`
293×	`fma-def`
145×	`distribute-lft-out--` `difference-of-squares`
129×	`distribute-lft-out`
105×	`associate-/r*`
102×	`associate-/r/`
53×	`div-inv`
43×	`flip3-+` `flip-+`
32×	`add-exp-log`
24×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
8×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 889

Calls

4 calls:

299.0ms	(+ (/ 1 (/ (/ y (+ z x)) (- x z))) y)
10.0ms	(/ y (+ z x))
35.0ms	(/ (/ y (+ z x)) (- x z))
64.0ms	(/ 1 (/ (/ y (+ z x)) (- x z)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (/ 1 (/ (/ y (+ z x)) (- x z))) y)
41.0ms	(/ y (+ z x))
74.0ms	(/ (/ y (+ z x)) (- x z))
104.0ms	(/ 1 (/ (/ y (+ z x)) (- x z)))

simplify2.0s

Counts

901 → 901

Iterations

Iter	Nodes
done	5000
1	1929
0	666

prune4.4s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

13710×

body

valid