Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

268×

body

valid

simplify2.8s

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	2093	17
done	5001	17

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 8.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite46.0ms

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:

4.0ms	(- (* t z) x)
11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series90.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* t z) x)
27.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
40.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
18.0ms	(/ (- (* 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	3330	1916
done	5001	1913

prune168.0ms

Filtered

81 candidates to 110 candidates (-35.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 0.2b

Counts

111 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.3b	(/ x (- (* t z) x))
4.2b	(* y (/ z (- (* t z) x)))
8.3b	(/ z (- (* t z) x))

rewrite46.0ms

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:

19.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ x (- (* t z) x))
10.0ms	(* y (/ z (- (* t z) x)))
6.0ms	(/ z (- (* t z) x))

series75.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
16.0ms	(/ x (- (* t z) x))
12.0ms	(* y (/ z (- (* t z) x)))
9.0ms	(/ z (- (* t z) x))

simplify1.7s

Counts

145 → 145

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	205	2667
1	475	2589
2	1301	2389
3	3931	2389
done	5000	2386

prune179.0ms

Filtered

107 candidates to 145 candidates (-35.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	146	8	154

Merged error: 0.2b

Counts

154 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (- (* t z) x))
2.3b	(/ x (- (* t z) x))
4.2b	(* y (* z (/ 1 (- (* t z) x))))
7.6b	(* z (/ 1 (- (* t z) x)))

rewrite42.0ms

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))
6.0ms	(/ x (- (* t z) x))
11.0ms	(* y (* z (/ 1 (- (* t z) x))))
11.0ms	(* z (/ 1 (- (* t z) x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 1 (- (* t z) x))
13.0ms	(/ x (- (* t z) x))
13.0ms	(* y (* z (/ 1 (- (* t z) x))))
9.0ms	(* z (/ 1 (- (* t z) x)))

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	160	1626
1	377	1414
2	897	1222
3	2618	1222
done	5000	1220

prune142.0ms

Filtered

85 candidates to 136 candidates (-60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	136	8	144

Merged error: 0.2b

Counts

144 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.2b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.7b	(/ 1 (- (* t z) x))
10.1b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3--` `prod-exp` `flip--` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
8.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
7.0ms	(/ 1 (- (* t z) x))
14.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
37.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
7.0ms	(/ 1 (- (* t z) x))
22.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify1.3s

Counts

133 → 133

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	188	2549
1	470	2191
2	1364	2009
done	5000	2007

prune122.0ms

Filtered

86 candidates to 133 candidates (-54.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	133	8	141

Merged error: 0.2b

Counts

141 → 8

regimes365.0ms

Accuracy

70.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	54
1	37	54
done	37	54

end0.0ms

sample841.0ms

Algorithm

intervals

Results

442.0ms

8332×

body

valid

Details

sample30.0ms

simplify2.8s

prune4.0ms

localize12.0ms

rewrite46.0ms

series90.0ms

simplify1.5s

prune168.0ms

localize13.0ms

rewrite46.0ms

series75.0ms

simplify1.7s

prune179.0ms

localize14.0ms

rewrite42.0ms

series42.0ms

simplify2.0s

prune142.0ms

localize13.0ms

rewrite35.0ms

series93.0ms

simplify1.3s

prune122.0ms

regimes365.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample841.0ms

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