Details

sample35.0ms

Algorithm

intervals

Results

19.0ms

434×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3958
6	896
5	343
4	181
3	100
2	55
1	22
0	11

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 181

Calls

3 calls:

10.0ms	(/ y (+ z x))
47.0ms	(- y (/ (- z x) (/ y (+ z x))))
28.0ms	(/ (- z x) (/ y (+ z x)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ y (+ z x))
49.0ms	(- y (/ (- z x) (/ y (+ z x))))
57.0ms	(/ (- z x) (/ y (+ z x)))

simplify1.5s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	4545
1	798
0	259

prune766.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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*`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `distribute-lft-in` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+` `div-inv` `flip--` `associate--r+` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out`

Counts

3 → 97

Calls

3 calls:

4.0ms	(- y (* (/ (- z x) y) (+ z x)))
16.0ms	(/ (- z x) y)
35.0ms	(* (/ (- z x) y) (+ z x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- y (* (/ (- z x) y) (+ z x)))
34.0ms	(/ (- z x) y)
62.0ms	(* (/ (- z x) y) (+ z x))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2834
1	525
0	157

prune538.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z x))
0.0b	(- y (/ 1 (/ (/ y (+ z x)) (- z x))))
0.2b	(/ (/ y (+ z x)) (- z x))
0.4b	(/ 1 (/ (/ y (+ z x)) (- z x)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

1074×	`times-frac`
765×	`*-un-lft-identity`
618×	`add-sqr-sqrt`
413×	`add-cube-cbrt`
105×	`associate-/r*`
98×	`difference-of-squares`
93×	`distribute-lft-out--`
82×	`distribute-lft-out`
65×	`associate-/r/`
34×	`div-inv`
32×	`add-exp-log`
27×	`flip3-+` `flip-+`
24×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `diff-log` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 596

Calls

4 calls:

9.0ms	(/ y (+ z x))
114.0ms	(- y (/ 1 (/ (/ y (+ z x)) (- z x))))
24.0ms	(/ (/ y (+ z x)) (- z x))
41.0ms	(/ 1 (/ (/ y (+ z x)) (- z x)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ y (+ z x))
70.0ms	(- y (/ 1 (/ (/ y (+ z x)) (- z x))))
77.0ms	(/ (/ y (+ z x)) (- z x))
94.0ms	(/ 1 (/ (/ y (+ z x)) (- z x)))

simplify1.8s

Counts

608 → 608

Iterations

Iter	Nodes
done	5001
1	1990
0	667

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

907×	`times-frac`
608×	`*-un-lft-identity`
501×	`add-sqr-sqrt`
354×	`add-cube-cbrt`
68×	`difference-of-squares`
64×	`distribute-lft-out`
62×	`distribute-lft-out--`
43×	`associate-/r/`
42×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
25×	`associate-/r*`
21×	`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/`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log` `pow-flip` `inv-pow` `associate--r-`

Counts

4 → 500

Calls

4 calls:

153.0ms	(- y (/ (/ (- z x) y) (/ 1 (+ z x))))
16.0ms	(/ 1 (+ z x))
18.0ms	(/ (- z x) y)
40.0ms	(/ (/ (- z x) y) (/ 1 (+ z x)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- y (/ (/ (- z x) y) (/ 1 (+ z x))))
43.0ms	(/ 1 (+ z x))
43.0ms	(/ (- z x) y)
91.0ms	(/ (/ (- z x) y) (/ 1 (+ z x)))

simplify1.4s

Counts

512 → 512

Iterations

Iter	Nodes
done	5002
1	2167
0	630

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes349.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

13772×

body

valid