Details

sample133.0ms

Algorithm

intervals

Results

52.0ms	179×	body	80	valid
24.0ms	34×	body	1280	valid
21.0ms	33×	body	640	valid
8.0ms	22×	body	320	valid
3.0ms	15×	body	160	valid

simplify235.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize68.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite143.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

33.0ms	(* x (/ (sin y) y))
39.0ms	(/ (sin y) y)
61.0ms	(/ (* x (/ (sin y) y)) z)

series349.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* x (/ (sin y) y))
52.0ms	(/ (sin y) y)
186.0ms	(/ (* x (/ (sin y) y)) z)

simplify4.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1174
1	348
0	148

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

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×	`expm1-log1p-u` `rec-exp` `associate-/r` `1-exp` `insert-posit16` `log1p-expm1-u` `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 → 114

Calls

3 calls:

33.0ms	(* x (/ (sin y) y))
40.0ms	(/ (sin y) y)
126.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series310.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* x (/ (sin y) y))
50.0ms	(/ (sin y) y)
149.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify4.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1654
1	485
0	188

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`*-un-lft-identity` `add-cube-cbrt`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 174

Calls

4 calls:

3.0ms	(cbrt z)
3.0ms	(cbrt z)
3.0ms	(cbrt z)
180.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

338.0ms	(cbrt z)
330.0ms	(cbrt z)
329.0ms	(cbrt z)
213.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify7.3s

Counts

186 → 186

Iterations

Iter	Nodes
done	5003
2	4367
1	1051
0	312

prune2.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.2b	(/ (sin y) y)
3.2b	(/ x (/ z (/ (sin y) y)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

3 → 302

Calls

3 calls:

27.0ms	(/ z (/ (sin y) y))
28.0ms	(/ (sin y) y)
68.0ms	(/ x (/ z (/ (sin y) y)))

series409.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(/ z (/ (sin y) y))
53.0ms	(/ (sin y) y)
202.0ms	(/ x (/ z (/ (sin y) y)))

simplify9.0s

Counts

311 → 311

Iterations

Iter	Nodes
done	5000
2	4913
1	1318
0	500

prune3.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes1.5s

Accuracy

94.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.9b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	5788×	body	80	valid
850.0ms	1007×	body	1280	valid
564.0ms	1056×	body	640	valid
198.0ms	527×	body	320	valid
74.0ms	329×	body	160	valid