Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

295×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	3876
13	1400
12	529
11	242
10	137
9	133
8	125
7	109
6	78
5	66
4	52
3	41
2	28
1	19
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ x (+ 1.0 x))
0.0b	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
9×	`distribute-lft-out`
5×	`pow1` `flip3-+` `flip-+` `add-log-exp`
4×	`associate-/r` `associate-l*` `associate-/r/`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 87

Calls

3 calls:

24.0ms	(+ (/ x y) 1.0)
11.0ms	(/ x (+ 1.0 x))
86.0ms	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (/ x y) 1.0)
47.0ms	(/ x (+ 1.0 x))
64.0ms	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2419
1	383
0	136

prune406.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
160×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
53×	`associate-r`
36×	`add-exp-log`
27×	`distribute-lft-out`
20×	`add-cbrt-cube`
19×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp` `associate-/l*`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `flip3-+` `1-exp` `associate-l` `flip-+`
3×	`cbrt-unprod`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 220

Calls

4 calls:

15.0ms	(/ (+ 1.0 x) x)
24.0ms	(+ (/ x y) 1.0)
101.0ms	(* (+ (/ x y) 1.0) (/ 1 (/ (+ 1.0 x) x)))
27.0ms	(/ 1 (/ (+ 1.0 x) x))

series195.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ 1.0 x) x)
30.0ms	(+ (/ x y) 1.0)
70.0ms	(* (+ (/ x y) 1.0) (/ 1 (/ (+ 1.0 x) x)))
42.0ms	(/ 1 (/ (+ 1.0 x) x))

simplify530.0ms

Counts

232 → 232

Iterations

Iter	Nodes
done	5000
1	800
0	270

prune816.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (+ (/ x y) 1.0) (+ 1.0 x))
0.1b	(* (/ (+ (/ x y) 1.0) (+ 1.0 x)) x)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-l`
19×	`distribute-lft-out`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `flip3-+` `associate-/r/` `flip-+` `associate-/l`
3×	`associate-r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

14.0ms	(+ (/ x y) 1.0)
70.0ms	(/ (+ (/ x y) 1.0) (+ 1.0 x))
95.0ms	(* (/ (+ (/ x y) 1.0) (+ 1.0 x)) x)

series123.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (/ x y) 1.0)
44.0ms	(/ (+ (/ x y) 1.0) (+ 1.0 x))
60.0ms	(* (/ (+ (/ x y) 1.0) (+ 1.0 x)) x)

simplify962.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	1893
1	368
0	135

prune335.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cbrt x) (cbrt (+ 1.0 x))) (* (/ (cbrt x) (cbrt (+ 1.0 x))) (+ (/ x y) 1.0)))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
48×	`associate-l`
46×	`*-un-lft-identity`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
9×	`frac-times` `pow1` `associate-*r/`
6×	`distribute-lft-out`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`cbrt-div` `associate-/r/`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 119

Calls

4 calls:

129.0ms	(* (/ (cbrt x) (cbrt (+ 1.0 x))) (* (/ (cbrt x) (cbrt (+ 1.0 x))) (+ (/ x y) 1.0)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (/ (cbrt x) (cbrt (+ 1.0 x))) (* (/ (cbrt x) (cbrt (+ 1.0 x))) (+ (/ x y) 1.0)))
311.0ms	(cbrt x)
261.0ms	(cbrt x)
224.0ms	(cbrt x)

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	3126
1	606
0	188

prune835.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

881.0ms

9140×

body

valid