Details

sample52.0ms

Algorithm

intervals

Results

30.0ms

455×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 7 (849.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	55	15
3	101	15
4	182	15
5	346	15
6	898	15
7	3961	13
done	5000	13

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
0.9b	(- (* x x) (* z z))
11.5b	(/ (- (* x x) (* z z)) y)

rewrite60.0ms

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:

23.0ms	(+ y (/ (- (* x x) (* z z)) y))
8.0ms	(- (* x x) (* z z))
26.0ms	(/ (- (* x x) (* z z)) y)

series186.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ y (/ (- (* x x) (* z z)) y))
46.0ms	(- (* x x) (* z z))
77.0ms	(/ (- (* x x) (* z z)) y)

simplify884.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	110	1000
1	309	949
2	1396	877
done	5001	877

prune296.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
145×	`*-un-lft-identity`
99×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
23×	`distribute-lft-out`
21×	`associate-/r*`
15×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

2 → 138

Calls

2 calls:

81.0ms	(+ y (/ (+ x z) (/ y (- x z))))
50.0ms	(/ (+ x z) (/ y (- x z)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ y (/ (+ x z) (/ y (- x z))))
75.0ms	(/ (+ x z) (/ y (- x z)))

simplify1.6s

Counts

144 → 144

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	237	2739
1	630	2569
2	3590	2463
done	5000	2451

prune561.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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

Counts

3 → 93

Calls

3 calls:

13.0ms	(+ y (* (/ (+ x z) y) (- x z)))
21.0ms	(/ (+ x z) y)
56.0ms	(* (/ (+ x z) y) (- x z))

series146.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ y (* (/ (+ x z) y) (- x z)))
22.0ms	(/ (+ x z) y)
69.0ms	(* (/ (+ x z) y) (- x z))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	147	1244
1	407	1189
2	2190	1119
done	5001	1101

prune384.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

882×	`times-frac`
604×	`*-un-lft-identity`
462×	`add-sqr-sqrt`
352×	`add-cube-cbrt`
71×	`distribute-lft-out`
55×	`distribute-lft-out--` `difference-of-squares`
42×	`div-inv`
37×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/r*`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 483

Calls

4 calls:

171.0ms	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
31.0ms	(/ (+ x z) y)
19.0ms	(/ 1 (- x z))
71.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
37.0ms	(/ (+ x z) y)
52.0ms	(/ 1 (- x z))
84.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

simplify1.2s

Counts

495 → 495

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	605	11545
1	1995	9974
done	5000	8944

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

13682×

body

valid