Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

429×

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

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:

51.0ms	(+ y (/ (- x z) (/ y (+ z x))))
12.0ms	(/ y (+ z x))
33.0ms	(/ (- x z) (/ y (+ z x)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ y (/ (- x z) (/ y (+ z x))))
40.0ms	(/ y (+ z x))
71.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.5s

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
2	2786
1	780
0	255

prune811.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
32×	`add-exp-log`
31×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`associate-r`
11×	`div-exp`
8×	`prod-exp` `distribute-lft-out` `associate-/l*`
7×	`pow1`
6×	`cbrt-undiv` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`cbrt-unprod`
3×	`rec-exp` `flip3-+` `1-exp` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `div-sub` `associate-*r/` `un-div-inv` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `pow-prod-down` `*-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 125

Calls

4 calls:

32.0ms	(+ y (/ (- x z) (* y (/ 1 (+ z x)))))
18.0ms	(/ 1 (+ z x))
42.0ms	(/ (- x z) (* y (/ 1 (+ z x))))
34.0ms	(* y (/ 1 (+ z x)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ y (/ (- x z) (* y (/ 1 (+ z x)))))
51.0ms	(/ 1 (+ z x))
63.0ms	(/ (- x z) (* y (/ 1 (+ z x))))
41.0ms	(* y (/ 1 (+ z x)))

simplify1.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5012
2	1854
1	462
0	176

prune552.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-l`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
8×	`pow1`
6×	`associate-r`
4×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `sum-log` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 91

Calls

4 calls:

4.0ms	(+ y (* (/ x y) x))
23.0ms	(- (+ y (* (/ x y) x)) (* (/ z y) z))
12.0ms	(* (/ x y) x)
13.0ms	(* (/ z y) z)

series169.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ y (* (/ x y) x))
56.0ms	(- (+ y (* (/ x y) x)) (* (/ z y) z))
31.0ms	(* (/ x y) x)
24.0ms	(* (/ z y) z)

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1587
1	427
0	164

prune527.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z y)) (cbrt (/ z y)))
11.5b	(cbrt (/ z y))
11.5b	(cbrt (/ z y))
11.5b	(cbrt (/ z y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `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 → 144

Calls

4 calls:

41.0ms	(* (cbrt (/ z y)) (cbrt (/ z y)))
3.0ms	(cbrt (/ z y))
4.0ms	(cbrt (/ z y))
4.0ms	(cbrt (/ z y))

series428.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (/ z y)) (cbrt (/ z y)))
98.0ms	(cbrt (/ z y))
96.0ms	(cbrt (/ z y))
85.0ms	(cbrt (/ z y))

simplify2.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5002
4	4206
3	1326
2	637
1	279
0	161

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes225.0ms

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	17
1	17
0	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s

13545×

body

valid