Details

sample69.0ms

Algorithm

intervals

Results

15.0ms	186×	body	80	valid
15.0ms	41×	body	640	valid
14.0ms	25×	body	1280	valid
3.0ms	13×	body	320	valid
2.0ms	13×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.5b	(/ (* x (/ (sin y) y)) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

22.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)
11.0ms	(/ (* x (/ (sin y) y)) z)

series225.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* x (/ (sin y) y))
37.0ms	(/ (sin y) y)
95.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1724
1	346
0	139

prune448.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.2b	(/ y (sin y))
2.5b	(/ (/ x (/ y (sin y))) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`associate-/l*`
23×	`div-inv`
19×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 293

Calls

3 calls:

8.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))
20.0ms	(/ (/ x (/ y (sin y))) z)

series216.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ x (/ y (sin y)))
39.0ms	(/ y (sin y))
105.0ms	(/ (/ x (/ y (sin y))) z)

simplify932.0ms

Counts

302 → 302

Iterations

Iter	Nodes
done	5001
1	1299
0	490

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.2b	(/ y (sin y))
2.5b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 207

Calls

4 calls:

34.0ms	(* x (/ 1 (/ y (sin y))))
12.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))
16.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series288.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (/ 1 (/ y (sin y))))
44.0ms	(/ 1 (/ y (sin y)))
32.0ms	(/ y (sin y))
116.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.9s

Counts

219 → 219

Iterations

Iter	Nodes
done	5002
2	4554
1	800
0	286

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (* y (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))
2.5b	(/ (/ x (* y (/ 1 (sin y)))) z)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

62×	`times-frac`
54×	`add-exp-log`
47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
40×	`add-cube-cbrt`
34×	`add-cbrt-cube`
24×	`div-exp`
15×	`associate-/l*`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`prod-exp`
10×	`associate-/r/`
8×	`div-inv`
7×	`pow1` `associate-/r*`
6×	`associate-*r/` `un-div-inv` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 154

Calls

4 calls:

19.0ms	(/ x (* y (/ 1 (sin y))))
10.0ms	(/ 1 (sin y))
26.0ms	(* y (/ 1 (sin y)))
30.0ms	(/ (/ x (* y (/ 1 (sin y)))) z)

series232.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ x (* y (/ 1 (sin y))))
26.0ms	(/ 1 (sin y))
35.0ms	(* y (/ 1 (sin y)))
97.0ms	(/ (/ x (* y (/ 1 (sin y)))) z)

simplify1.8s

Counts

166 → 166

Iterations

Iter	Nodes
done	5002
2	3349
1	601
0	236

prune709.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes518.0ms

Accuracy

90.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch105.0ms

Steps

Iters	Range		Point
7	7.978302556291104e+61	2.6223467935765294e+63	8.079582008954304e+61
7	-5.5329262028655726e+29	-3.032025084360222e+28	-6.342302612153459e+28

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample2.4s

Algorithm

intervals

Results

986.0ms	976×	body	1280	valid
537.0ms	5865×	body	80	valid
377.0ms	1065×	body	640	valid
124.0ms	554×	body	320	valid
39.0ms	270×	body	160	valid