Details

sample51.0ms

Algorithm

intervals

Results

28.0ms

461×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5023
8	4325
7	1273
6	494
5	259
4	162
3	98
2	53
1	22
0	11

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- x z) (/ y (+ z x))))
0.0b	(/ y (+ z x))
0.3b	(/ (- x z) (/ y (+ z x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
163×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
23×	`distribute-lft-out`
22×	`associate-/r*`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `flip--`

Counts

3 → 177

Calls

3 calls:

66.0ms	(+ y (/ (- x z) (/ y (+ z x))))
13.0ms	(/ y (+ z x))
31.0ms	(/ (- x z) (/ y (+ z x)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ y (/ (- x z) (/ y (+ z x))))
37.0ms	(/ y (+ z x))
73.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.7s

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
2	2786
1	780
0	255

prune767.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (/ (- x z) y) (+ z x)))
0.0b	(/ (- x z) y)
0.2b	(* (/ (- x z) y) (+ z x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`associate-r`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `associate-+r+` `distribute-lft-in` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out`

Counts

3 → 96

Calls

3 calls:

6.0ms	(+ y (* (/ (- x z) y) (+ z x)))
16.0ms	(/ (- x z) y)
41.0ms	(* (/ (- x z) y) (+ z x))

series182.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ y (* (/ (- x z) y) (+ z x)))
39.0ms	(/ (- x z) y)
82.0ms	(* (/ (- x z) y) (+ z x))

simplify1.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5003
2	1779
1	531
0	159

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (* (- x z) (/ 1 y)) (+ z x)))
0.2b	(* (* (- x z) (/ 1 y)) (+ z x))
0.2b	(* (- x z) (/ 1 y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`frac-times`
17×	`-un-lft-identity` `add-cbrt-cube` `associate-r*`
14×	`associate-*l/`
13×	`prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
8×	`flip3-+` `flip3--` `flip-+` `flip--`
7×	`cbrt-unprod`
6×	`associate-l` `associate-*r/`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down` `un-div-inv`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `rec-exp` `associate-+r+` `distribute-lft-in` `1-exp` `*-commutative`
1×	`+-commutative` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 100

Calls

3 calls:

10.0ms	(+ y (* (* (- x z) (/ 1 y)) (+ z x)))
50.0ms	(* (* (- x z) (/ 1 y)) (+ z x))
23.0ms	(* (- x z) (/ 1 y))

series181.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ y (* (* (- x z) (/ 1 y)) (+ z x)))
82.0ms	(* (* (- x z) (/ 1 y)) (+ z x))
42.0ms	(* (- x z) (/ 1 y))

simplify1.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5013
2	2703
1	640
0	193

prune385.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
0.0b	(/ 1 (+ z x))
0.0b	(/ (- x z) y)
0.3b	(/ (/ (- x z) y) (/ 1 (+ z x)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
606×	`*-un-lft-identity`
476×	`add-sqr-sqrt`
354×	`add-cube-cbrt`
65×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
25×	`associate-/r*`
22×	`flip3-+` `flip-+`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `pow-flip` `flip--` `inv-pow`

Counts

4 → 492

Calls

4 calls:

108.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
9.0ms	(/ 1 (+ z x))
12.0ms	(/ (- x z) y)
34.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
38.0ms	(/ 1 (+ z x))
29.0ms	(/ (- x z) y)
54.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

simplify1.4s

Counts

504 → 504

Iterations

Iter	Nodes
done	5000
1	1969
0	618

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

13710×

body

valid