Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

301×

body

valid

simplify3.7s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))
8.3b	(/ (+ x (* y (- z x))) z)

rewrite76.0ms

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:

29.0ms	(* y (- z x))
11.0ms	(+ x (* y (- z x)))
33.0ms	(/ (+ x (* y (- z x))) z)

series174.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* y (- z x))
51.0ms	(+ x (* y (- z x)))
68.0ms	(/ (+ 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	3075	794
done	5000	788

prune202.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* x y) x) z))
0.0b	(- (* x y) x)
2.7b	(/ (- (* x y) x) z)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
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 → 58

Calls

3 calls:

28.0ms	(- y (/ (- (* x y) x) z))
20.0ms	(- (* x y) x)
38.0ms	(/ (- (* x y) x) z)

series116.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- y (/ (- (* x y) x) z))
37.0ms	(- (* x y) x)
49.0ms	(/ (- (* x y) x) z)

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (496.0ms)

Iter	Nodes	Cost
0	101	828
1	232	785
2	652	731
3	2220	727
done	5000	727

prune203.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (* x y) z))
0.0b	(+ (- y (/ (* x y) z)) (/ x z))
4.4b	(/ (* x y) z)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

12.0ms	(- y (/ (* x y) z))
78.0ms	(+ (- y (/ (* x y) z)) (/ x z))
15.0ms	(/ (* x y) z)

series123.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- y (/ (* x y) z))
46.0ms	(+ (- y (/ (* x y) z)) (/ x z))
30.0ms	(/ (* x y) z)

simplify2.6s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	104	804
1	255	745
2	829	703
3	4035	691
done	5000	691

prune145.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ x (/ z y)))
0.0b	(+ (- y (/ x (/ z y))) (/ x z))
7.5b	(/ x (/ z y))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
45×	`add-cube-cbrt`
13×	`associate-/r*`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`sub-neg` `associate-+l+` `flip3--` `diff-log` `frac-add` `sum-log` `associate-/r/` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `distribute-rgt-out--` `frac-2neg` `flip3-+` `clear-num` `flip-+`

Counts

3 → 106

Calls

3 calls:

21.0ms	(- y (/ x (/ z y)))
156.0ms	(+ (- y (/ x (/ z y))) (/ x z))
9.0ms	(/ x (/ z y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- y (/ x (/ z y)))
34.0ms	(+ (- y (/ x (/ z y))) (/ x z))
27.0ms	(/ x (/ z y))

simplify3.0s

Counts

115 → 115

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	210	1545
1	467	1426
2	1423	1372
3	4931	1350
done	5000	1350

prune327.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

90.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch56.0ms

Steps

Iters	Range		Point
7	4.818571117228439e-29	1.4016864363292013e-27	6.777650331950524e-29
5	-2.583413158552538e-84	-1.2260811575835537e-84	-1.9618762888681135e-84

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	41
1	29	31
done	29	31

end0.0ms

sample1.2s

Algorithm

intervals

Results

410.0ms

10135×

body

valid