Details

sample99.0ms

Algorithm

intervals

Results

29.0ms	181×	body	80	valid
22.0ms	36×	body	1280	valid
15.0ms	35×	body	640	valid
6.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
1.4b	(/ (* x (/ (sin y) y)) z)

rewrite96.0ms

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:

18.0ms	(/ (sin y) y)
29.0ms	(* x (/ (sin y) y))
44.0ms	(/ (* x (/ (sin y) y)) z)

series597.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin y) y)
82.0ms	(* x (/ (sin y) y))
467.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.9s

Counts

98 → 98

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1025	782
3	4753	779
done	5001	779

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.1b	(/ y (sin y))
3.7b	(/ x (* z (/ y (sin y))))

rewrite47.0ms

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-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
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` `associate-/r/` `*-commutative`

Counts

3 → 89

Calls

3 calls:

23.0ms	(* z (/ y (sin y)))
6.0ms	(/ y (sin y))
12.0ms	(/ x (* z (/ y (sin y))))

series204.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* z (/ y (sin y)))
25.0ms	(/ y (sin y))
96.0ms	(/ x (* z (/ y (sin y))))

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	145	935
1	315	901
2	969	784
3	4376	781
done	5001	781

prune292.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* z (/ 1 (/ (sin y) y)))
0.2b	(/ 1 (/ (sin y) y))
3.7b	(/ x (* z (/ 1 (/ (sin y) y))))

rewrite122.0ms

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`
17×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
9×	`associate-/l*`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

9.0ms	(/ (sin y) y)
49.0ms	(* z (/ 1 (/ (sin y) y)))
18.0ms	(/ 1 (/ (sin y) y))
36.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (sin y) y)
78.0ms	(* z (/ 1 (/ (sin y) y)))
46.0ms	(/ 1 (/ (sin y) y))
124.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

simplify1.9s

Counts

227 → 227

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	293	2749
1	656	2189
2	1500	1855
done	5001	1833

prune619.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(/ 1 (/ (sin y) y))
2.7b	(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

1985×	`times-frac`
858×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
108×	`div-inv`
61×	`add-exp-log`
60×	`associate-/r*`
43×	`div-exp`
31×	`add-cbrt-cube`
19×	`cbrt-undiv` `associate-/l*`
16×	`associate-/r/`
6×	`rec-exp` `1-exp`
4×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 770

Calls

3 calls:

27.0ms	(/ (sin y) y)
22.0ms	(/ 1 (/ (sin y) y))
44.0ms	(/ (/ x z) (/ 1 (/ (sin y) y)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (sin y) y)
26.0ms	(/ 1 (/ (sin y) y))
115.0ms	(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify2.0s

Counts

779 → 779

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	1294	19043
1	3568	14874
done	5000	14018

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes229.0ms

Accuracy

77.5% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch134.0ms

Steps

Iters	Range		Point
8	2.2224675829991397e-158	1.6804866158686344e-155	1.6630389273218114e-155
9	-9.466489429598327e+36	-2.8897456288171165e+31	-1.409336902048905e+32

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	34
1	24	27
done	24	27

end0.0ms

sample2.4s

Algorithm

intervals

Results

717.0ms	1016×	body	640	valid
434.0ms	1014×	body	1280	valid
425.0ms	5793×	body	80	valid
331.0ms	569×	body	320	valid
84.0ms	322×	body	160	valid