Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	15	11
2	22	11
3	25	11
4	26	11
done	26	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
4.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

33.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0ms	(+ 1.0 (/ (* x y) 2.0))
10.0ms	(/ (* x y) 2.0)
16.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
36.0ms	(+ 1.0 (/ (* x y) 2.0))
34.0ms	(/ (* x y) 2.0)
87.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (345.0ms)

Iter	Nodes	Cost
0	162	1272
1	403	1196
2	1977	1116
done	5001	1116

prune254.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
4.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
98×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
17×	`distribute-lft-out`
16×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `prod-exp` `sum-log` `associate-/r/` `cbrt-unprod` `inv-pow`

Counts

4 → 154

Calls

4 calls:

14.0ms	(+ 1.0 (/ (* x y) 2.0))
15.0ms	(/ (* x y) 2.0)
39.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
41.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series200.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ 1.0 (/ (* x y) 2.0))
28.0ms	(/ (* x y) 2.0)
65.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
64.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.8s

Counts

166 → 166

Iterations

Useful iterations: 2 (580.0ms)

Iter	Nodes	Cost
0	236	2773
1	624	2450
2	3435	2320
done	5001	2320

prune349.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
0.3b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
4.1b	(* (/ 1 (+ 1.0 (/ (* x y) 2.0))) y)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`times-frac`
24×	`add-cube-cbrt`
22×	`add-exp-log`
18×	`associate-l`
16×	`add-cbrt-cube`
8×	`distribute-lft-out`
7×	`pow1` `associate-/r*`
6×	`div-exp` `add-log-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `associate-/r/` `associate-/l*`
3×	`flip3-+` `associate-r` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `inv-pow`

Counts

4 → 110

Calls

4 calls:

16.0ms	(+ 1.0 (/ (* x y) 2.0))
21.0ms	(/ (* x y) 2.0)
19.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
63.0ms	(* (/ 1 (+ 1.0 (/ (* x y) 2.0))) y)

series203.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ 1.0 (/ (* x y) 2.0))
21.0ms	(/ (* x y) 2.0)
60.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
69.0ms	(* (/ 1 (+ 1.0 (/ (* x y) 2.0))) y)

simplify1.6s

Counts

122 → 122

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	187	1643
1	493	1519
2	2942	1315
done	5001	1313

prune248.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3))
0.1b	(pow (+ 1.0 (/ (* x y) 2.0)) 3)
4.1b	(* (cbrt (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3))) y)
15.9b	(cbrt (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac`
132×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
105×	`cbrt-prod`
84×	`add-cube-cbrt`
51×	`associate-l`
46×	`unpow-prod-down` `cube-prod`
22×	`distribute-lft-out`
16×	`add-exp-log`
14×	`associate-/r*`
13×	`sqr-pow`
11×	`cube-mult` `unpow3`
10×	`unswap-sqr`
8×	`cube-div` `add-cbrt-cube`
7×	`pow1`
6×	`div-exp` `associate-/r/`
4×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+` `add-log-exp`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-r` `div-inv` `associate-/l*`
2×	`cbrt-div`
1×	`cbrt-undiv` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `inv-pow` `rem-cube-cbrt`

Counts

4 → 243

Calls

4 calls:

52.0ms	(/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3))
24.0ms	(pow (+ 1.0 (/ (* x y) 2.0)) 3)
100.0ms	(* (cbrt (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3))) y)
17.0ms	(cbrt (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3))
79.0ms	(pow (+ 1.0 (/ (* x y) 2.0)) 3)
91.0ms	(* (cbrt (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3))) y)
68.0ms	(cbrt (/ 1 (pow (+ 1.0 (/ (* x y) 2.0)) 3)))

simplify1.7s

Counts

255 → 255

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	297	5191
1	706	4466
2	3152	4080
done	5000	4076

prune632.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	15	13
done	15	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

804.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid