Details

sample235.0ms

Algorithm

intervals

Results

105.0ms	91×	body	1280	valid
52.0ms	85×	body	640	valid
35.0ms	258×	body	80	valid
19.0ms	43×	body	320	valid
5.0ms	18×	body	160	valid

simplify900.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	745
5	179
4	96
3	56
2	28
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 63

Calls

2 calls:

11.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series131.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (cosh x) (/ (sin y) y))
36.0ms	(/ (sin y) y)

simplify1.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1287
1	277
0	122

prune327.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
0.0b	(* (sin y) (exp x))
0.0b	(/ (sin y) (exp x))
0.2b	(/ (+ (/ (sin y) (exp x)) (* (sin y) (exp x))) y)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac`
10×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`div-inv` `associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`distribute-lft-out`
4×	`insert-posit16`
3×	`associate-r` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

28.0ms	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
12.0ms	(* (sin y) (exp x))
9.0ms	(/ (sin y) (exp x))
54.0ms	(/ (+ (/ (sin y) (exp x)) (* (sin y) (exp x))) y)

series230.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
32.0ms	(* (sin y) (exp x))
39.0ms	(/ (sin y) (exp x))
75.0ms	(/ (+ (/ (sin y) (exp x)) (* (sin y) (exp x))) y)

simplify1.1s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1572
1	358
0	159

prune527.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin y) (exp x))
0.0b	(/ (sin y) (exp x))
0.2b	(/ y (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))
0.2b	(/ 1/2 (/ y (+ (/ (sin y) (exp x)) (* (sin y) (exp x)))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
76×	`add-sqr-sqrt`
74×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-/r*`
23×	`div-inv`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
13×	`add-exp-log`
11×	`associate-/r/`
9×	`associate-/l*`
6×	`pow1`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

21.0ms	(* (sin y) (exp x))
15.0ms	(/ (sin y) (exp x))
22.0ms	(/ y (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))
47.0ms	(/ 1/2 (/ y (+ (/ (sin y) (exp x)) (* (sin y) (exp x)))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sin y) (exp x))
39.0ms	(/ (sin y) (exp x))
126.0ms	(/ y (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))
106.0ms	(/ 1/2 (/ y (+ (/ (sin y) (exp x)) (* (sin y) (exp x)))))

simplify1.8s

Counts

184 → 184

Iterations

Iter	Nodes
done	5000
2	3831
1	763
0	305

prune828.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
0.0b	(* (sin y) (exp x))
0.0b	(/ (sin y) (exp x))
0.3b	(* (/ 1/2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`associate-l`
13×	`add-cbrt-cube`
11×	`add-exp-log`
8×	`pow1`
7×	`associate-r`
6×	`add-log-exp`
4×	`insert-posit16` `div-inv`
3×	`associate-/r` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `associate-*l/`

Counts

4 → 100

Calls

4 calls:

20.0ms	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
21.0ms	(* (sin y) (exp x))
11.0ms	(/ (sin y) (exp x))
79.0ms	(* (/ 1/2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (/ (sin y) (exp x)) (* (sin y) (exp x)))
35.0ms	(* (sin y) (exp x))
31.0ms	(/ (sin y) (exp x))
86.0ms	(* (/ 1/2 y) (+ (/ (sin y) (exp x)) (* (sin y) (exp x))))

simplify1.8s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	2791
1	554
0	184

prune480.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.4s	3026×	body	1280	valid
1.7s	2538×	body	640	valid
1.4s	8345×	body	80	valid
433.0ms	1246×	body	320	valid
150.0ms	667×	body	160	valid