Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
8.0ms	198×	body	80	valid
5.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
72.0ms	(/ (* x (/ (sin y) y)) z)

simplify395.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	145	935
1	339	898
2	1176	782
done	5000	782

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ z (/ (sin y) y))
2.2b	(/ x (/ z (/ (sin y) y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

3.0ms	(/ (sin y) y)
5.0ms	(/ z (/ (sin y) y))
13.0ms	(/ x (/ z (/ (sin y) y)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (sin y) y)
67.0ms	(/ z (/ (sin y) y))
86.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.3s

Counts

308 → 308

Iterations

Useful iterations: 2 (388.0ms)

Iter	Nodes	Cost
0	497	5179
1	1127	4782
2	4909	4607
done	5000	4607

prune856.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.0b	(* (/ x z) (/ (sin y) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 81

Calls

2 calls:

3.0ms	(/ (sin y) y)
14.0ms	(* (/ x z) (/ (sin y) y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (sin y) y)
87.0ms	(* (/ x z) (/ (sin y) y))

simplify567.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	144	913
1	381	881
2	1584	783
done	5000	783

prune205.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
2.0b	(* (/ x z) (/ 1 (/ y (sin y))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

176×	`times-frac`
128×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
95×	`add-cube-cbrt`
61×	`add-exp-log`
44×	`associate-r`
31×	`add-cbrt-cube`
29×	`div-exp`
16×	`associate-/r*`
14×	`prod-exp`
13×	`cbrt-undiv` `associate-l`
11×	`div-inv`
10×	`unswap-sqr`
6×	`pow1` `rec-exp` `1-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 209

Calls

3 calls:

2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
35.0ms	(* (/ x z) (/ 1 (/ y (sin y))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))
88.0ms	(* (/ x z) (/ 1 (/ y (sin y))))

simplify1.5s

Counts

218 → 218

Iterations

Useful iterations: 2 (400.0ms)

Iter	Nodes	Cost
0	296	2874
1	856	2469
2	3008	2000
done	5000	2000

prune414.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes104.0ms

Accuracy

48.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.9b

bsearch45.0ms

Steps

Iters	Range		Point
8	-8.266668124118291e+26	-2.6429333418277892e+23	-7.37385740450311e+23

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	15	20
done	15	20

end0.0ms

sample1.0s

Algorithm

intervals

Results

279.0ms	998×	body	1280	valid
250.0ms	5900×	body	80	valid
192.0ms	988×	body	640	valid
82.0ms	599×	body	320	valid
27.0ms	299×	body	160	valid