Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	56	7
4	137	7
5	203	7
6	261	7
7	351	7
8	498	7
9	623	7
10	678	7
11	682	7
done	682	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

66.0ms

(* (+ x y) (- 1.0 z))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (+ x y) (- 1.0 z))

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	84	448
1	240	433
2	911	401
3	3850	401
done	5002	401

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (sqrt 1.0) (sqrt z))
0.0b	(* (+ x y) (+ (sqrt 1.0) (sqrt z)))
0.1b	(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
25×	`flip3-+` `flip-+`
20×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-*l/`
14×	`associate-r`
10×	`pow1` `add-exp-log` `associate-*r/` `sqrt-prod` `add-cbrt-cube`
9×	`flip3--` `flip--`
6×	`add-cube-cbrt`
5×	`associate-l` `distribute-lft-out` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

21.0ms	(+ (sqrt 1.0) (sqrt z))
66.0ms	(* (+ x y) (+ (sqrt 1.0) (sqrt z)))
141.0ms	(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))

series566.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (sqrt 1.0) (sqrt z))
163.0ms	(* (+ x y) (+ (sqrt 1.0) (sqrt z)))
352.0ms	(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: 2 (608.0ms)

Iter	Nodes	Cost
0	202	2426
1	705	1880
2	3515	1711
done	5000	1711

prune459.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))
0.0b	(sqrt (* (+ x y) (- 1.0 z)))
0.0b	(sqrt (* (+ x y) (- 1.0 z)))
0.2b	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
63×	`flip3--` `flip3-+` `flip--` `flip-+`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`associate-r`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 200

Calls

4 calls:

55.0ms	(* (+ x y) (- 1.0 z))
12.0ms	(sqrt (* (+ x y) (- 1.0 z)))
20.0ms	(sqrt (* (+ x y) (- 1.0 z)))
166.0ms	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ x y) (- 1.0 z))
128.0ms	(sqrt (* (+ x y) (- 1.0 z)))
154.0ms	(sqrt (* (+ x y) (- 1.0 z)))
180.0ms	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

simplify1.5s

Counts

212 → 212

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	312	5813
1	546	5013
2	1761	4891
done	5000	4835

prune847.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) (+ 1.0 z))
3.7b	(- (* x x) (* y y))
4.6b	(* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z)))
30.2b	(/ (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`flip3--` `flip--`
16×	`frac-times`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`associate-l`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-r` `associate-l/` `associate-/r/` `associate-/l/`
6×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 113

Calls

4 calls:

37.0ms	(* (- x y) (+ 1.0 z))
16.0ms	(- (* x x) (* y y))
77.0ms	(* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z)))
84.0ms	(/ (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- x y) (+ 1.0 z))
59.0ms	(- (* x x) (* y y))
100.0ms	(* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z)))
277.0ms	(/ (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)))

simplify2.9s

Counts

125 → 125

Iterations

Useful iterations: 2 (836.0ms)

Iter	Nodes	Cost
0	209	2712
1	712	2555
2	3947	2069
done	5001	2069

prune429.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample880.0ms

Algorithm

intervals

Results

381.0ms	10078×	body	80	valid
0.0ms	1×	body	320	valid