Details

sample177.0ms

Algorithm

intervals

Results

111.0ms

256×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

52.0ms

(/ (- x y) (+ x y))

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

(/ (- x y) (+ x y))

simplify8.1s

Counts

51 → 51

Iterations

Iter	Nodes
done	5002
3	2572
2	579
1	198
0	80

prune311.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

581×	`*-un-lft-identity`
484×	`times-frac`
331×	`add-sqr-sqrt`
324×	`prod-diff`
319×	`add-cube-cbrt`
123×	`distribute-lft-out`
82×	`associate-/r/`
41×	`flip3-+` `flip-+` `div-inv`
18×	`fma-neg`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 442

Calls

3 calls:

23.0ms	(/ y (+ x y))
25.0ms	(/ x (+ x y))
1.7s	(- (/ x (+ x y)) (/ y (+ x y)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ y (+ x y))
80.0ms	(/ x (+ x y))
164.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify4.1s

Counts

451 → 451

Iterations

Iter	Nodes
done	5000
2	2448
1	973
0	422

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (/ 1 (+ x y)) (- (* (/ 1 (+ x y)) y)))
0.2b	(* (/ 1 (+ x y)) y)
0.2b	(* (/ 1 (+ x y)) y)
54.4b	(fma (- (/ 1 (+ x y))) y (* (/ 1 (+ x y)) y))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
28×	`times-frac`
22×	`add-exp-log` `add-cube-cbrt`
14×	`add-cbrt-cube`
8×	`pow1` `prod-exp`
6×	`associate-r` `distribute-lft-out` `unswap-sqr`
4×	`expm1-log1p-u` `div-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `fma-udef` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(fma x (/ 1 (+ x y)) (- (* (/ 1 (+ x y)) y)))
83.0ms	(* (/ 1 (+ x y)) y)
58.0ms	(* (/ 1 (+ x y)) y)
1.0ms	(fma (- (/ 1 (+ x y))) y (* (/ 1 (+ x y)) y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(fma x (/ 1 (+ x y)) (- (* (/ 1 (+ x y)) y)))
82.0ms	(* (/ 1 (+ x y)) y)
79.0ms	(* (/ 1 (+ x y)) y)
69.0ms	(fma (- (/ 1 (+ x y))) y (* (/ 1 (+ x y)) y))

simplify4.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5006
3	2199
2	689
1	239
0	104

prune886.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x y)) (/ (/ y (sqrt (+ x y))) (sqrt (+ x y))))
0.0b	(/ x (+ x y))
0.1b	(/ (/ y (sqrt (+ x y))) (sqrt (+ x y)))
0.2b	(/ y (sqrt (+ x y)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

8821×	`times-frac`
7554×	`*-un-lft-identity`
4574×	`add-sqr-sqrt`
4519×	`add-cube-cbrt`
3690×	`sqrt-prod`
3510×	`prod-diff`
1513×	`distribute-lft-out`
702×	`associate-/r/`
351×	`flip3-+` `flip-+` `div-inv`
308×	`sqrt-div`
33×	`associate-/l*`
18×	`fma-neg` `associate-/r*`
14×	`difference-of-squares`
13×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `associate-/l/`

Counts

4 → 3884

Calls

4 calls:

628.0ms	(- (/ x (+ x y)) (/ (/ y (sqrt (+ x y))) (sqrt (+ x y))))
21.0ms	(/ x (+ x y))
72.0ms	(/ (/ y (sqrt (+ x y))) (sqrt (+ x y)))
24.0ms	(/ y (sqrt (+ x y)))

series923.0ms

Counts

4 → 12

Calls

4 calls:

580.0ms	(- (/ x (+ x y)) (/ (/ y (sqrt (+ x y))) (sqrt (+ x y))))
86.0ms	(/ x (+ x y))
110.0ms	(/ (/ y (sqrt (+ x y))) (sqrt (+ x y)))
146.0ms	(/ y (sqrt (+ x y)))

simplify9.9s

Counts

3896 → 3896

Iterations

Iter	Nodes
done	5001
0	2464

prune40.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

960.0ms

8000×

body

valid