Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	101	17
5	182	17
6	358	17
7	720	17
8	2090	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

17.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
61.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series276.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* t z) x)
115.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	157	2130
1	398	2046
2	1108	1920
3	3331	1916
done	5000	1913

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
1.9b	(* y (/ z (- (* t z) x)))
3.3b	(/ x (- (* t z) x))
8.5b	(/ z (- (* t z) x))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

120.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
17.0ms	(* y (/ z (- (* t z) x)))
6.0ms	(/ x (- (* t z) x))
6.0ms	(/ z (- (* t z) x))

series254.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
32.0ms	(* y (/ z (- (* t z) x)))
58.0ms	(/ x (- (* t z) x))
30.0ms	(/ z (- (* t z) x))

simplify1.9s

Counts

145 → 145

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	205	2667
1	475	2589
2	1301	2389
3	3946	2389
done	5000	2386

prune393.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (* y (/ z (- (* t z) x)))) (+ x 1.0))
1.9b	(* y (/ z (- (* t z) x)))
3.3b	(/ x (- (* t z) x))
8.5b	(/ z (- (* t z) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
40×	`times-frac`
37×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r*`
9×	`associate-/l*`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 127

Calls

4 calls:

11.0ms	(/ (+ x (* y (/ z (- (* t z) x)))) (+ x 1.0))
17.0ms	(* y (/ z (- (* t z) x)))
6.0ms	(/ x (- (* t z) x))
6.0ms	(/ z (- (* t z) x))

series209.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (+ x (* y (/ z (- (* t z) x)))) (+ x 1.0))
33.0ms	(* y (/ z (- (* t z) x)))
62.0ms	(/ x (- (* t z) x))
30.0ms	(/ z (- (* t z) x))

simplify1.7s

Counts

139 → 139

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	206	2105
1	480	2039
2	1310	1863
3	3836	1863
done	5001	1861

prune414.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (- (* t z) x))
1.9b	(* y (* z (/ 1 (- (* t z) x))))
3.3b	(/ x (- (* t z) x))
8.0b	(* z (/ 1 (- (* t z) x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
34×	`add-exp-log`
30×	`*-un-lft-identity`
29×	`add-cube-cbrt` `times-frac`
22×	`add-cbrt-cube`
16×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`div-exp` `cbrt-unprod`
6×	`associate-l` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-undiv` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `un-div-inv` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 124

Calls

4 calls:

9.0ms	(/ 1 (- (* t z) x))
19.0ms	(* y (* z (/ 1 (- (* t z) x))))
6.0ms	(/ x (- (* t z) x))
17.0ms	(* z (/ 1 (- (* t z) x)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- (* t z) x))
33.0ms	(* y (* z (/ 1 (- (* t z) x))))
59.0ms	(/ x (- (* t z) x))
30.0ms	(* z (/ 1 (- (* t z) x)))

simplify1.6s

Counts

136 → 136

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	160	1626
1	377	1414
2	898	1222
3	2583	1222
done	5000	1220

prune307.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes163.0ms

Accuracy

-13.3% (2.2b remaining)

Error of 2.5b against oracle of 0.3b and baseline of 2.3b

bsearch92.0ms

Steps

Iters	Range		Point
8	7.706953421200024e-257	2.858540898896391e-253	1.3742799560574841e-254
8	2.1763925978762844e-300	5.6573700243989265e-297	2.2076199736618183e-298

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	24	71
1	32	45
done	32	45

end0.0ms

sample565.0ms

Algorithm

intervals

Results

337.0ms

8327×

body

valid