Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

24.0ms

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

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify691.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
2	763
1	198
0	80

prune197.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 442

Calls

3 calls:

14.0ms	(/ x (+ x y))
16.0ms	(/ y (+ x y))
112.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ x (+ x y))
58.0ms	(/ y (+ x y))
99.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.0s

Counts

451 → 451

Iterations

Iter	Nodes
done	5000
2	3349
1	975
0	422

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ x (+ x y)))
0.0b	(/ y (+ x y))
0.0b	(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
3.5b	(log (exp (/ x (+ x y))))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

647×	`*-un-lft-identity`
529×	`times-frac`
396×	`prod-diff`
383×	`add-sqr-sqrt`
381×	`log-pow`
378×	`exp-prod` `add-cube-cbrt`
133×	`distribute-lft-out`
88×	`associate-/r/`
44×	`flip3-+` `flip-+` `div-inv`
25×	`pow1`
22×	`fma-neg`
6×	`log-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`associate--l+` `associate-/l*`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `rem-log-exp` `flip--` `rem-exp-log`

Counts

4 → 534

Calls

4 calls:

16.0ms	(exp (/ x (+ x y)))
9.0ms	(/ y (+ x y))
263.0ms	(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
31.0ms	(log (exp (/ x (+ x y))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp (/ x (+ x y)))
44.0ms	(/ y (+ x y))
89.0ms	(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
45.0ms	(log (exp (/ x (+ x y))))

simplify1.8s

Counts

546 → 546

Iterations

Iter	Nodes
done	5000
2	3517
1	1080
0	496

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(- (log (exp (/ x (+ x y)))) (log (exp (/ y (+ x y)))))
1.9b	(log (exp (/ y (+ x y))))
3.5b	(log (exp (/ x (+ x y))))

rewrite509.0ms

Algorithm

rewrite-expression-head

Rules

917×	`log-pow`
866×	`exp-prod`
758×	`*-un-lft-identity`
588×	`times-frac`
484×	`prod-diff`
442×	`add-sqr-sqrt`
440×	`add-cube-cbrt`
149×	`distribute-lft-out`
100×	`associate-/r/`
55×	`pow1`
50×	`flip3-+` `flip-+` `div-inv`
22×	`fma-neg`
12×	`log-prod`
7×	`distribute-rgt-out--` `distribute-lft-out--`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`associate--l+` `associate-/l*` `associate--r+`
2×	`rem-log-exp`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `difference-of-squares`

Counts

4 → 640

Calls

4 calls:

13.0ms	(/ y (+ x y))
345.0ms	(- (log (exp (/ x (+ x y)))) (log (exp (/ y (+ x y)))))
21.0ms	(log (exp (/ y (+ x y))))
28.0ms	(log (exp (/ x (+ x y))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (+ x y))
93.0ms	(- (log (exp (/ x (+ x y)))) (log (exp (/ y (+ x y)))))
60.0ms	(log (exp (/ y (+ x y))))
65.0ms	(log (exp (/ x (+ x y))))

simplify1.9s

Counts

652 → 652

Iterations

Iter	Nodes
done	5000
2	3710
1	1232
0	602

prune2.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes77.0ms

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	11
1	11
0	10

end0.0ms

sample525.0ms

Algorithm

intervals

Results

294.0ms

8000×

body

valid