Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	191×	body	80	valid
11.0ms	32×	body	1280	valid
9.0ms	31×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	12×	body	160	valid

simplify82.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.4b	(/ (* x (/ (sin y) y)) z)

rewrite49.0ms

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:

21.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)
11.0ms	(/ (* x (/ (sin y) y)) z)

series258.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* x (/ (sin y) y))
46.0ms	(/ (sin y) y)
110.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1188
1	338
0	139

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
3.4b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite83.0ms

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:

37.0ms	(* x (/ 1 (/ y (sin y))))
16.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))
16.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series230.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* x (/ 1 (/ y (sin y))))
34.0ms	(/ 1 (/ y (sin y)))
31.0ms	(/ y (sin y))
104.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.4s

Counts

219 → 219

Iterations

Iter	Nodes
done	5056
2	2412
1	764
0	286

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
3.4b	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

857×	`times-frac`
429×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
394×	`add-cube-cbrt`
183×	`add-exp-log`
174×	`associate-r`
116×	`div-exp`
61×	`add-cbrt-cube`
58×	`div-inv`
34×	`prod-exp`
31×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/r*`
17×	`associate-/l*`
10×	`cbrt-unprod` `unswap-sqr`
7×	`pow1`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 519

Calls

4 calls:

79.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
6.0ms	(/ 1 (sin y))
35.0ms	(/ (/ 1 y) (/ 1 (sin y)))
41.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series288.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
25.0ms	(/ 1 (sin y))
48.0ms	(/ (/ 1 y) (/ 1 (sin y)))
119.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify3.6s

Counts

531 → 531

Iterations

Iter	Nodes
done	5003
2	4953
1	2054
0	663

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.5b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-l` `pow-prod-down` `associate-*r/`
3×	`rec-exp` `associate-/r` `1-exp` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

17.0ms	(* x (/ (sin y) y))
6.0ms	(/ (sin y) y)
44.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series236.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* x (/ (sin y) y))
52.0ms	(/ (sin y) y)
97.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1549
1	475
0	179

prune565.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes588.0ms

Accuracy

94.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch145.0ms

Steps

Iters	Range		Point
9	1.8858956155785848e-06	20.852008069825544	0.001397275382843653
7	-8.665460962243007e+24	-3.9554820123738635e+22	-5.593196487055916e+24

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample2.7s

Algorithm

intervals

Results

670.0ms	5799×	body	80	valid
588.0ms	1018×	body	1280	valid
457.0ms	302×	body	160	valid
383.0ms	1029×	body	640	valid
172.0ms	564×	body	320	valid