Details

sample58.0ms

Algorithm

intervals

Results

23.0ms	39×	body	1280	valid
10.0ms	185×	body	80	valid
6.0ms	28×	body	640	valid
2.0ms	14×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
3.0b	(/ (* x (/ (sin y) y)) z)

rewrite40.0ms

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

Counts

3 → 83

Calls

3 calls:

15.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series202.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
89.0ms	(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Counts: 92 → 92

prune269.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.2b	(/ (sin y) y)
2.6b	(* x (/ (/ (sin y) y) z))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

25.0ms	(/ (/ (sin y) y) z)
22.0ms	(/ (sin y) y)
51.0ms	(* x (/ (/ (sin y) y) z))

series207.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (/ (sin y) y) z)
47.0ms	(/ (sin y) y)
94.0ms	(* x (/ (/ (sin y) y) z))

simplify80.0ms

Counts: 171 → 171

prune722.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
0.8b	(/ 1 (/ z (* x (/ (sin y) y))))
2.9b	(/ z (* x (/ (sin y) y)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

29.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
41.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
17.0ms	(/ z (* x (/ (sin y) y)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (/ (sin y) y))
36.0ms	(/ (sin y) y)
114.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
172.0ms	(/ z (* x (/ (sin y) y)))

simplify61.0ms

Counts: 159 → 159

prune425.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.2b	(/ (sin y) y)
0.3b	(/ (sqrt 1) (/ z (/ (sin y) y)))
2.6b	(* (* (sqrt 1) x) (/ (sqrt 1) (/ z (/ (sin y) y))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

1470×	`times-frac`
688×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
269×	`associate-r`
267×	`sqrt-prod`
60×	`associate-/r*` `div-inv`
52×	`add-exp-log` `add-cbrt-cube`
22×	`cbrt-undiv` `div-exp`
16×	`associate-/r/`
12×	`prod-exp` `cbrt-unprod` `associate-/l*`
9×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `pow-prod-down` `clear-num`
1×	`associate-r/` `associate-l` `-commutative`

Counts

4 → 725

Calls

4 calls:

16.0ms	(/ z (/ (sin y) y))
18.0ms	(/ (sin y) y)
30.0ms	(/ (sqrt 1) (/ z (/ (sin y) y)))
162.0ms	(* (* (sqrt 1) x) (/ (sqrt 1) (/ z (/ (sin y) y))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ z (/ (sin y) y))
47.0ms	(/ (sin y) y)
110.0ms	(/ (sqrt 1) (/ z (/ (sin y) y)))
126.0ms	(* (* (sqrt 1) x) (/ (sqrt 1) (/ z (/ (sin y) y))))

simplify179.0ms

Counts: 737 → 737

prune3.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes326.0ms

Accuracy

91% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch111.0ms

Steps

Iters	Range		Point
3	2.2723988053956333e-43	2.7652912004695934e-43	2.4880392282404904e-43
9	-1.5047623445090993e+54	-1.5234841735457997e+49	-6.556330221928382e+49

simplify74.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

944.0ms	5830×	body	80	valid
639.0ms	1069×	body	1280	valid
329.0ms	983×	body	640	valid
111.0ms	537×	body	320	valid
44.0ms	302×	body	160	valid