Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify1.3s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:

38.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (163.0ms)

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

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `associate-*r/` `flip-+`
4×	`pow1` `add-exp-log` `associate-r` `associate-*l/` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`+-commutative` `neg-mul-1` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

15.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
47.0ms	(* (- z) (+ x y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
55.0ms	(* (- z) (+ x y))

simplify927.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	109	766
1	370	707
2	1522	609
done	5000	609

prune154.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 1.0) (* z z))
1.4b	(* (+ x y) (- (* 1.0 1.0) (* z z)))
8.2b	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

14.0ms	(- (* 1.0 1.0) (* z z))
60.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
61.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series269.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (* 1.0 1.0) (* z z))
75.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
134.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	142	1524
1	448	1443
2	2021	1221
done	5001	1137

prune346.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ x y) 1.0) (* (- (sqrt z)) (* (sqrt z) (+ x y))))
0.1b	(* (sqrt z) (+ x y))
0.2b	(* (- (sqrt z)) (* (sqrt z) (+ x y)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-l`
15×	`add-sqr-sqrt`
14×	`associate-*r/`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3-+` `flip-+`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`associate-r` `add-log-exp`
4×	`associate-+r+` `pow-prod-down` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-neg-out`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `unsub-neg` `sum-log` `distribute-lft-out`

Counts

3 → 86

Calls

3 calls:

37.0ms	(+ (* (+ x y) 1.0) (* (- (sqrt z)) (* (sqrt z) (+ x y))))
46.0ms	(* (sqrt z) (+ x y))
70.0ms	(* (- (sqrt z)) (* (sqrt z) (+ x y)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* (+ x y) 1.0) (* (- (sqrt z)) (* (sqrt z) (+ x y))))
95.0ms	(* (sqrt z) (+ x y))
70.0ms	(* (- (sqrt z)) (* (sqrt z) (+ x y)))

simplify1.5s

Counts

95 → 95

Iterations

Useful iterations: 2 (371.0ms)

Iter	Nodes	Cost
0	167	1435
1	522	1117
2	2155	965
done	5001	965

prune275.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	15	12
2	19	12
3	24	12
done	24	12

end0.0ms

sample950.0ms

Algorithm

intervals

Results

421.0ms	10158×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	640	valid