Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

323×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
2	18	9
3	32	9
4	44	9
5	54	9
6	72	9
7	106	9
8	156	9
9	211	9
10	289	9
11	492	9
12	1390	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
7.3b	(/ (+ x (* y (- z x))) z)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

8.0ms	(+ x (* y (- z x)))
40.0ms	(* y (- z x))
35.0ms	(/ (+ x (* y (- z x))) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* y (- z x)))
54.0ms	(* y (- z x))
53.0ms	(/ (+ x (* y (- z x))) z)

simplify2.1s

Counts

79 → 79

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	117	903
1	260	858
2	740	794
3	3099	794
done	5000	788

prune192.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* y x) x) z))
0.0b	(- (* y x) x)
1.3b	(/ (- (* y x) x) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `distribute-rgt-out--` `add-cbrt-cube`
4×	`associate-/l*`
3×	`pow1` `flip3--` `associate-/r*` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

3 → 63

Calls

3 calls:

26.0ms	(- y (/ (- (* y x) x) z))
8.0ms	(- (* y x) x)
22.0ms	(/ (- (* y x) x) z)

series100.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- y (/ (- (* y x) x) z))
26.0ms	(- (* y x) x)
40.0ms	(/ (- (* y x) x) z)

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: 3 (579.0ms)

Iter	Nodes	Cost
0	112	867
1	257	822
2	684	772
3	2302	764
done	5000	764

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* x (/ (- y 1) z)))
0.0b	(/ (- y 1) z)
2.6b	(* x (/ (- y 1) z))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
43×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-r`
14×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-sqr-1` `associate-/l*` `distribute-lft-out--`
5×	`pow1` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 102

Calls

3 calls:

6.0ms	(- y (* x (/ (- y 1) z)))
17.0ms	(/ (- y 1) z)
47.0ms	(* x (/ (- y 1) z))

series119.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- y (* x (/ (- y 1) z)))
35.0ms	(/ (- y 1) z)
45.0ms	(* x (/ (- y 1) z))

simplify2.6s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	147	1211
1	343	1120
2	942	1054
3	3703	1042
done	5000	1042

prune269.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* (/ x z) (- y 1)))
3.9b	(* (/ x z) (- y 1))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

10.0ms	(- y (* (/ x z) (- y 1)))
32.0ms	(* (/ x z) (- y 1))

series93.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- y (* (/ x z) (- y 1)))
52.0ms	(* (/ x z) (- y 1))

simplify3.3s

Counts

66 → 66

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	120	743
1	302	692
2	929	638
3	3413	630
done	5000	630

prune125.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample930.0ms

Algorithm

intervals

Results

459.0ms

9996×

body

valid