Details

sample45.0ms

Algorithm

intervals

Results

30.0ms

431×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 7 (681.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize20.0ms

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)

rewrite88.0ms

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:

32.0ms	(- y (/ (- (* z z) (* x x)) y))
19.0ms	(- (* z z) (* x x))
34.0ms	(/ (- (* z z) (* x x)) y)

series179.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- y (/ (- (* z z) (* x x)) y))
50.0ms	(- (* z z) (* x x))
71.0ms	(/ (- (* z z) (* x x)) y)

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (619.0ms)

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

prune182.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite121.0ms

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:

15.0ms	(/ y (- z x))
55.0ms	(- y (/ (+ z x) (/ y (- z x))))
36.0ms	(/ (+ z x) (/ y (- z x)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ y (- z x))
66.0ms	(- y (/ (+ z x) (/ y (- z x))))
67.0ms	(/ (+ z x) (/ y (- z x)))

simplify1.7s

Counts

188 → 188

Iterations

Useful iterations: done (1.7s)

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

prune450.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

7.0ms	(- y (* (+ z x) (/ (- z x) y)))
27.0ms	(/ (- z x) y)
45.0ms	(* (+ z x) (/ (- z x) y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- y (* (+ z x) (/ (- z x) y)))
44.0ms	(/ (- z x) y)
74.0ms	(* (+ z x) (/ (- z x) y))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	150	1274
1	375	1191
2	1494	1111
done	5002	1108

prune278.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))

rewrite365.0ms

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:

173.0ms	(- y (/ (+ z x) (/ 1 (/ (- z x) y))))
28.0ms	(/ (- z x) y)
67.0ms	(/ (+ z x) (/ 1 (/ (- z x) y)))
31.0ms	(/ 1 (/ (- z x) y))

series294.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- y (/ (+ z x) (/ 1 (/ (- z x) y))))
40.0ms	(/ (- z x) y)
72.0ms	(/ (+ z x) (/ 1 (/ (- z x) y)))
121.0ms	(/ 1 (/ (- z x) y))

simplify2.0s

Counts

506 → 506

Iterations

Useful iterations: 2 (1.1s)

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

prune836.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

13585×

body

valid