Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

426×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 7 (401.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	54	15
3	97	15
4	170	15
5	309	15
6	613	15
7	1341	13
8	4230	13
done	5001	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
1.8b	(- (* x x) (* z z))
11.4b	(/ (- (* x x) (* z z)) y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

16.0ms	(+ y (/ (- (* x x) (* z z)) y))
3.0ms	(- (* x x) (* z z))
8.0ms	(/ (- (* x x) (* z z)) y)

series122.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ y (/ (- (* x x) (* z z)) y))
34.0ms	(- (* x x) (* z z))
48.0ms	(/ (- (* x x) (* z z)) y)

simplify1.8s

Counts

69 → 69

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	110	1000
1	285	937
2	934	865
3	4633	865
done	5000	865

prune163.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 175

Calls

3 calls:

39.0ms	(+ y (/ (+ x z) (/ y (- x z))))
5.0ms	(/ y (- x z))
19.0ms	(/ (+ x z) (/ y (- x z)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ y (/ (+ x z) (/ y (- x z))))
28.0ms	(/ y (- x z))
53.0ms	(/ (+ x z) (/ y (- x z)))

simplify887.0ms

Counts

184 → 184

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	247	3119
1	576	2906
2	2088	2806
done	5001	2802

prune398.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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

Counts

3 → 92

Calls

3 calls:

3.0ms	(+ y (* (+ z x) (/ (- x z) y)))
7.0ms	(/ (- x z) y)
22.0ms	(* (+ z x) (/ (- x z) y))

series122.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ y (* (+ z x) (/ (- x z) y)))
26.0ms	(/ (- x z) y)
54.0ms	(* (+ z x) (/ (- x z) y))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: 2 (242.0ms)

Iter	Nodes	Cost
0	152	1254
1	391	1171
2	1488	1097
done	5000	1097

prune224.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

11.0ms	(+ y (/ (+ x z) (* y (/ 1 (- x z)))))
6.0ms	(/ 1 (- x z))
17.0ms	(* y (/ 1 (- x z)))
13.0ms	(/ (+ x z) (* y (/ 1 (- x z))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ y (/ (+ x z) (* y (/ 1 (- x z)))))
37.0ms	(/ 1 (- x z))
27.0ms	(* y (/ 1 (- x z)))
53.0ms	(/ (+ x z) (* y (/ 1 (- x z))))

simplify2.4s

Counts

140 → 140

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	178	1661
1	458	1325
2	1201	1167
3	4460	1152
done	5000	1152

prune242.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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	13	13
done	13	13

end0.0ms

sample730.0ms

Algorithm

intervals

Results

452.0ms

13657×

body

valid