Details

sample51.0ms

Algorithm

intervals

Results

26.0ms

420×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 7 (743.0ms)

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* z z) (* x x)) y))
1.5b	(- (* z z) (* x x))
11.7b	(/ (- (* z z) (* x x)) y)

rewrite94.0ms

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:

30.0ms	(- y (/ (- (* z z) (* x x)) y))
16.0ms	(- (* z z) (* x x))
41.0ms	(/ (- (* z z) (* x x)) y)

series167.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- y (/ (- (* z z) (* x x)) y))
39.0ms	(- (* z z) (* x x))
60.0ms	(/ (- (* z z) (* x x)) y)

simplify2.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (776.0ms)

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

prune226.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite113.0ms

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:

13.0ms	(/ y (- z x))
55.0ms	(- y (/ (+ z x) (/ y (- z x))))
34.0ms	(/ (+ z x) (/ y (- z x)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ y (- z x))
60.0ms	(- y (/ (+ z x) (/ y (- z x))))
67.0ms	(/ (+ z x) (/ y (- z x)))

simplify1.6s

Counts

188 → 188

Iterations

Useful iterations: done (1.6s)

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

prune534.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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:

23.0ms	(/ (+ z x) y)
8.0ms	(+ y (* (/ (+ z x) y) (- x z)))
49.0ms	(* (/ (+ z x) y) (- x z))

series204.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (+ z x) y)
79.0ms	(+ y (* (/ (+ z x) y) (- x z)))
88.0ms	(* (/ (+ z x) y) (- x z))

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	150	1244
1	386	1189
2	1282	1101
done	5000	1101

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`frac-times`
18×	`associate-r`
17×	`*-un-lft-identity` `add-cbrt-cube`
14×	`associate-*l/`
13×	`prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
9×	`flip3-+` `flip-+`
7×	`flip3--` `flip--` `cbrt-unprod`
6×	`associate-*r/`
5×	`associate-l` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `pow-prod-down` `un-div-inv`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`+-commutative` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 104

Calls

3 calls:

9.0ms	(+ y (* (* (+ z x) (/ 1 y)) (- x z)))
85.0ms	(* (* (+ z x) (/ 1 y)) (- x z))
48.0ms	(* (+ z x) (/ 1 y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ y (* (* (+ z x) (/ 1 y)) (- x z)))
79.0ms	(* (* (+ z x) (/ 1 y)) (- x z))
22.0ms	(* (+ z x) (/ 1 y))

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	194	1749
1	565	1436
2	2254	1304
done	5000	1292

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes76.0ms

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

sample2.0s

Algorithm

intervals

Results

1.4s

13842×

body

valid