Details

sample74.0ms

Algorithm

intervals

Results

19.0ms	38×	body	1280	valid
15.0ms	186×	body	80	valid
14.0ms	37×	body	640	valid
3.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid

simplify67.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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` `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 → 89

Calls

3 calls:

18.0ms	(* x (/ (sin y) y))
12.0ms	(/ (sin y) y)
20.0ms	(/ (* x (/ (sin y) y)) z)

series224.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* x (/ (sin y) y))
52.0ms	(/ (sin y) y)
103.0ms	(/ (* x (/ (sin y) y)) z)

simplify722.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1731
1	352
0	145

prune517.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 215

Calls

4 calls:

40.0ms	(* x (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
9.0ms	(/ 1 (/ y (sin y)))
17.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series263.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (/ 1 (/ y (sin y))))
34.0ms	(/ y (sin y))
52.0ms	(/ 1 (/ y (sin y)))
100.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.9s

Counts

227 → 227

Iterations

Iter	Nodes
done	5000
2	4772
1	818
0	294

prune998.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (* (/ 1 y) (sin y))))
0.1b	(* x (expm1 (log1p (* (/ 1 y) (sin y)))))
0.2b	(* (/ 1 y) (sin y))
2.6b	(/ (* x (expm1 (log1p (* (/ 1 y) (sin y))))) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-exp-log`
17×	`*-un-lft-identity`
16×	`add-cbrt-cube` `associate-l` `add-cube-cbrt`
14×	`times-frac`
8×	`pow1`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `div-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-/r*`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`rec-exp` `expm1-log1p` `clear-num` `frac-2neg` `1-exp` `associate-l/` `associate-/l` `expm1-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
6.0ms	(* x (expm1 (log1p (* (/ 1 y) (sin y)))))
15.0ms	(* (/ 1 y) (sin y))
13.0ms	(/ (* x (expm1 (log1p (* (/ 1 y) (sin y))))) z)

series548.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
119.0ms	(* x (expm1 (log1p (* (/ 1 y) (sin y)))))
35.0ms	(* (/ 1 y) (sin y))
160.0ms	(/ (* x (expm1 (log1p (* (/ 1 y) (sin y))))) z)

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2077
1	372
0	161

prune537.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.1b	(/ (sin y) (* y (cbrt z)))
3.0b	(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) (* y (cbrt z))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
35×	`add-cbrt-cube`
16×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
7×	`associate-r` `associate-l`
6×	`cbrt-prod` `pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`pow1/3` `unswap-sqr`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `-commutative`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
12.0ms	(/ (sin y) (* y (cbrt z)))
60.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) (* y (cbrt z))))

series865.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt z)
278.0ms	(cbrt z)
127.0ms	(/ (sin y) (* y (cbrt z)))
159.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) (* y (cbrt z))))

simplify1.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2992
1	475
0	162

prune497.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes280.0ms

Accuracy

93.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch103.0ms

Steps

Iters	Range		Point
8	47495130.80298876	12923530959.442633	393164264.7585267
6	-2.3784912487091232e-18	-2.717163482503313e-19	-2.336233976126023e-18

simplify14.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	5892×	body	80	valid
583.0ms	990×	body	1280	valid
418.0ms	1014×	body	640	valid
188.0ms	570×	body	320	valid
48.0ms	292×	body	160	valid