Details

sample17.0ms

Algorithm

intervals

Results

5.0ms

320×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	42	3
2	82	3
3	126	3
4	138	3
5	140	3
6	140	3
done	140	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

32.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify34.0ms

Counts

33 → 33

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	265	187
1	1154	173
2	5002	173
done	5002	173

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.7b	(* (+ x y) (- (* z z) (* 1.0 1.0)))
11.1b	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

44.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
34.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series174.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
101.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify62.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	452	650
1	2335	565
2	5002	530
done	5002	530

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3-+` `flip-+`
32×	`frac-times`
16×	`associate-*l/`
14×	`associate-r`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 80

Calls

2 calls:

35.0ms	(* (+ x y) (sqrt (+ z 1.0)))
67.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (+ x y) (sqrt (+ z 1.0)))
32.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify44.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	422	850
1	1539	752
2	5001	744
done	5001	744

prune208.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

334×	`sqrt-div`
168×	`frac-times`
142×	`flip3-+` `flip-+`
84×	`associate-*l/`
39×	`sqrt-prod`
36×	`associate-*r/`
27×	`associate-r`
25×	`*-un-lft-identity`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`distribute-lft-out`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 213

Calls

4 calls:

8.0ms	(sqrt (sqrt (+ z 1.0)))
224.0ms	(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))
35.0ms	(* (+ x y) (sqrt (+ z 1.0)))
69.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (sqrt (+ z 1.0)))
31.0ms	(* (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0)))) (sqrt (sqrt (+ z 1.0))))
71.0ms	(* (+ x y) (sqrt (+ z 1.0)))
122.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))))

simplify105.0ms

Counts

225 → 225

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	1068	3586
1	4035	3136
2	5003	3067
done	5003	3067

prune769.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes103.0ms

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	10	3
1	10	3
done	10	3

end0.0ms

sample481.0ms

Algorithm

intervals

Results

187.0ms	10094×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid