Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

295×

body

valid

simplify1.3s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)))

rewrite124.0ms

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:

12.0ms	(+ (/ x y) 1.0)
13.0ms	(/ x (+ 1.0 x))
95.0ms	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
45.0ms	(/ x (+ 1.0 x))
53.0ms	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2419
1	383
0	136

prune352.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`add-sqr-sqrt`
26×	`times-frac`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`associate-r`
13×	`prod-exp`
12×	`pow1`
9×	`distribute-lft-out`
7×	`associate-l` `cbrt-unprod`
6×	`flip3-+` `div-exp` `associate-*r/` `flip-+` `add-log-exp`
4×	`frac-times` `associate-/r*` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 121

Calls

4 calls:

16.0ms	(+ (/ x y) 1.0)
15.0ms	(/ 1 (+ 1.0 x))
107.0ms	(* (+ (/ x y) 1.0) (* x (/ 1 (+ 1.0 x))))
34.0ms	(* x (/ 1 (+ 1.0 x)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (/ x y) 1.0)
42.0ms	(/ 1 (+ 1.0 x))
67.0ms	(* (+ (/ x y) 1.0) (* x (/ 1 (+ 1.0 x))))
53.0ms	(* x (/ 1 (+ 1.0 x)))

simplify1.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2635
1	484
0	170

prune486.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ 1.0 x))) (cbrt (/ x (+ 1.0 x))))
0.4b	(cbrt (/ x (+ 1.0 x)))
0.4b	(cbrt (/ x (+ 1.0 x)))
0.4b	(cbrt (/ x (+ 1.0 x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

50.0ms	(* (cbrt (/ x (+ 1.0 x))) (cbrt (/ x (+ 1.0 x))))
5.0ms	(cbrt (/ x (+ 1.0 x)))
4.0ms	(cbrt (/ x (+ 1.0 x)))
4.0ms	(cbrt (/ x (+ 1.0 x)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (/ x (+ 1.0 x))) (cbrt (/ x (+ 1.0 x))))
206.0ms	(cbrt (/ x (+ 1.0 x)))
190.0ms	(cbrt (/ x (+ 1.0 x)))
199.0ms	(cbrt (/ x (+ 1.0 x)))

simplify1.4s

Counts

192 → 192

Iterations

Iter	Nodes
done	5000
2	2047
1	461
0	218

prune891.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 x) (- 1.0 x))
0.1b	(* (/ (+ (/ x y) 1.0) (/ (* (+ 1.0 x) (- 1.0 x)) x)) (- 1.0 x))
0.2b	(/ (+ (/ x y) 1.0) (/ (* (+ 1.0 x) (- 1.0 x)) x))
9.6b	(/ (* (+ 1.0 x) (- 1.0 x)) x)

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
79×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
37×	`associate-l`
34×	`add-cbrt-cube` `add-exp-log`
16×	`distribute-lft-out`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`frac-times` `associate-/r` `associate-r*` `associate-/l/`
8×	`pow1` `flip3--` `prod-exp` `cbrt-unprod` `flip--`
7×	`flip3-+` `flip-+`
6×	`associate-*r/`
5×	`associate-l/` `associate-/l`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 186

Calls

4 calls:

28.0ms	(* (+ 1.0 x) (- 1.0 x))
105.0ms	(* (/ (+ (/ x y) 1.0) (/ (* (+ 1.0 x) (- 1.0 x)) x)) (- 1.0 x))
47.0ms	(/ (+ (/ x y) 1.0) (/ (* (+ 1.0 x) (- 1.0 x)) x))
16.0ms	(/ (* (+ 1.0 x) (- 1.0 x)) x)

series345.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ 1.0 x) (- 1.0 x))
56.0ms	(* (/ (+ (/ x y) 1.0) (/ (* (+ 1.0 x) (- 1.0 x)) x)) (- 1.0 x))
94.0ms	(/ (+ (/ x y) 1.0) (/ (* (+ 1.0 x) (- 1.0 x)) x))
114.0ms	(/ (* (+ 1.0 x) (- 1.0 x)) x)

simplify416.0ms

Counts

198 → 198

Iterations

Iter	Nodes
done	5000
1	859
0	265

prune883.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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	16
1	16
0	10

end0.0ms

sample717.0ms

Algorithm

intervals

Results

501.0ms

9148×

body

valid