Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

431×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 7 (801.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	55	15
3	100	15
4	181	15
5	330	15
6	715	15
7	1555	13
8	4529	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* z z) (* x x)) y))
0.8b	(- (* z z) (* x x))
13.4b	(/ (- (* z z) (* x x)) y)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*`
3×	`pow1` `flip3--` `associate-/r*` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

3 → 63

Calls

3 calls:

25.0ms	(- y (/ (- (* z z) (* x x)) y))
8.0ms	(- (* z z) (* x x))
20.0ms	(/ (- (* z z) (* x x)) y)

series178.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- y (/ (- (* z z) (* x x)) y))
54.0ms	(- (* z z) (* x x))
61.0ms	(/ (- (* z z) (* x x)) y)

simplify1.9s

Counts

72 → 72

Iterations

Useful iterations: 3 (840.0ms)

Iter	Nodes	Cost
0	115	1074
1	281	1017
2	806	945
3	3327	939
done	5000	939

prune226.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 179

Calls

3 calls:

11.0ms	(/ y (- z x))
81.0ms	(- y (/ (+ z x) (/ y (- z x))))
45.0ms	(/ (+ z x) (/ y (- z x)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ y (- z x))
64.0ms	(- y (/ (+ z x) (/ y (- z x))))
57.0ms	(/ (+ z x) (/ y (- z x)))

simplify1.5s

Counts

188 → 188

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	254	3223
1	566	3010
2	2059	2910
done	5001	2883

prune538.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

6.0ms	(- y (* (/ (+ z x) y) (- z x)))
23.0ms	(/ (+ z x) y)
69.0ms	(* (/ (+ z x) y) (- z x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- y (* (/ (+ z x) y) (- z x)))
34.0ms	(/ (+ z x) y)
69.0ms	(* (/ (+ z x) y) (- z x))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	148	1264
1	376	1209
2	1261	1127
done	5001	1125

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

901×	`times-frac`
620×	`*-un-lft-identity`
511×	`add-sqr-sqrt`
368×	`add-cube-cbrt`
84×	`associate-/r*`
67×	`difference-of-squares`
63×	`distribute-lft-out`
62×	`distribute-lft-out--`
36×	`add-exp-log`
27×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
12×	`associate-/l*`
10×	`cbrt-undiv`
7×	`associate-/r/`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp` `associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `flip-+` `inv-pow`

Counts

4 → 494

Calls

4 calls:

136.0ms	(- y (/ (+ z x) (/ 1 (/ (- z x) y))))
17.0ms	(/ (- z x) y)
67.0ms	(/ (+ z x) (/ 1 (/ (- z x) y)))
21.0ms	(/ 1 (/ (- z x) y))

series226.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- y (/ (+ z x) (/ 1 (/ (- z x) y))))
31.0ms	(/ (- z x) y)
60.0ms	(/ (+ z x) (/ 1 (/ (- z x) y)))
75.0ms	(/ 1 (/ (- z x) y))

simplify1.8s

Counts

506 → 506

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	597	10883
1	1352	8286
2	3126	7826
done	5000	7826

prune886.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

13585×

body

valid