Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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

Counts

1 → 47

Calls

1 calls:

24.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify2.2s

Counts

50 → 50

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	78	606
1	175	582
2	454	554
3	1120	547
4	3134	547
done	5002	547

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

36.0ms	(log (exp (/ (+ x y) (- x y))))
31.0ms	(exp (/ (+ x y) (- x y)))
25.0ms	(/ (+ x y) (- x y))

series210.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(log (exp (/ (+ x y) (- x y))))
79.0ms	(exp (/ (+ x y) (- x y)))
67.0ms	(/ (+ x y) (- x y))

simplify2.1s

Counts

132 → 132

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	138	1441
1	244	1296
2	542	1231
3	1252	1212
4	3355	1212
done	5000	1212

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/l*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 282

Calls

4 calls:

89.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
23.0ms	(/ (+ x y) (- x y))
26.0ms	(/ (+ x y) (- x y))
23.0ms	(/ (+ x y) (- x y))

series339.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
65.0ms	(/ (+ x y) (- x y))
64.0ms	(/ (+ x y) (- x y))
69.0ms	(/ (+ x y) (- x y))

simplify1.7s

Counts

294 → 294

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	205	5422
1	360	5055
2	1011	4905
3	2025	4594
done	5000	4586

prune755.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/l*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 282

Calls

4 calls:

86.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
25.0ms	(/ (+ x y) (- x y))
24.0ms	(/ (+ x y) (- x y))
23.0ms	(/ (+ x y) (- x y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
65.0ms	(/ (+ x y) (- x y))
67.0ms	(/ (+ x y) (- x y))
63.0ms	(/ (+ x y) (- x y))

simplify1.9s

Counts

294 → 294

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	205	5422
1	360	5055
2	1011	4905
3	2025	4594
done	5000	4586

prune584.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample316.0ms

Algorithm

intervals

Results

145.0ms

8000×

body

valid