Details

sample66.0ms

Algorithm

intervals

Results

15.0ms	205×	body	80	valid
9.0ms	21×	body	1280	valid
8.0ms	23×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify90.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.5b	(/ (* x (/ (sin y) y)) z)

rewrite68.0ms

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

Counts

3 → 86

Calls

3 calls:

16.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
32.0ms	(/ (* x (/ (sin y) y)) z)

series255.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* x (/ (sin y) y))
42.0ms	(/ (sin y) y)
116.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.7s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1184
1	341
0	142

prune466.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.3b	(/ 1 (/ y (sin y)))
1.5b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite127.0ms

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×	`insert-posit16` `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 → 211

Calls

4 calls:

5.0ms	(/ y (sin y))
53.0ms	(* x (/ 1 (/ y (sin y))))
20.0ms	(/ 1 (/ y (sin y)))
40.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series244.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ y (sin y))
74.0ms	(* x (/ 1 (/ y (sin y))))
41.0ms	(/ 1 (/ y (sin y)))
95.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.6s

Counts

223 → 223

Iterations

Iter	Nodes
done	5003
2	2400
1	779
0	290

prune936.0ms

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) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
1.5b	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

rewrite222.0ms

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×	`insert-posit16` `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 → 523

Calls

4 calls:

81.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
12.0ms	(/ 1 (sin y))
37.0ms	(/ (/ 1 y) (/ 1 (sin y)))
54.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series267.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
22.0ms	(/ 1 (sin y))
43.0ms	(/ (/ 1 y) (/ 1 (sin y)))
124.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify2.6s

Counts

535 → 535

Iterations

Iter	Nodes
done	5001
2	4428
1	2066
0	667

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite135.0ms

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×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 166

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)
116.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt z)
272.0ms	(cbrt z)
295.0ms	(cbrt z)
150.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify2.8s

Counts

178 → 178

Iterations

Iter	Nodes
done	5001
2	4442
1	1081
0	308

prune886.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

46% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.0b

bsearch68.0ms

Steps

Iters	Range		Point
8	1.931530504368411e-89	9.5320593353955e-85	9.374996475980067e-85

simplify13.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample2.5s

Algorithm

intervals

Results

660.0ms	5844×	body	80	valid
586.0ms	1008×	body	1280	valid
440.0ms	312×	body	160	valid
388.0ms	1035×	body	640	valid
146.0ms	581×	body	320	valid