Details

sample59.0ms

Algorithm

intervals

Results

15.0ms	38×	body	1280	valid
12.0ms	183×	body	80	valid
11.0ms	36×	body	640	valid
5.0ms	26×	body	320	valid
1.0ms	7×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize39.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
3.1b	(/ (* x (/ (sin y) y)) z)

rewrite62.0ms

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:

13.0ms	(/ (sin y) y)
23.0ms	(* x (/ (sin y) y))
22.0ms	(/ (* x (/ (sin y) y)) z)

series230.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (sin y) y)
71.0ms	(* x (/ (sin y) y))
121.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1727
1	352
0	145

prune611.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
3.2b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite51.0ms

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` `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 → 111

Calls

3 calls:

6.0ms	(/ (sin y) y)
14.0ms	(* x (/ (sin y) y))
27.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series203.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin y) y)
78.0ms	(* x (/ (sin y) y))
86.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	3021
1	510
0	185

prune589.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ z (/ (sin y) y))
4.1b	(/ x (/ z (/ (sin y) y)))

rewrite87.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

13.0ms	(/ (sin y) y)
15.0ms	(/ z (/ (sin y) y))
28.0ms	(/ x (/ z (/ (sin y) y)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (sin y) y)
90.0ms	(/ z (/ (sin y) y))
125.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.1s

Counts

308 → 308

Iterations

Iter	Nodes
done	5000
1	1403
0	497

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (sin y))
3.1b	(/ (/ (* x (sin y)) y) z)
6.9b	(/ (* x (sin y)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 93

Calls

3 calls:

14.0ms	(* x (sin y))
21.0ms	(/ (/ (* x (sin y)) y) z)
17.0ms	(/ (* x (sin y)) y)

series278.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* x (sin y))
120.0ms	(/ (/ (* x (sin y)) y) z)
90.0ms	(/ (* x (sin y)) y)

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1883
1	371
0	154

prune484.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes367.0ms

Accuracy

94.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch141.0ms

Steps

Iters	Range		Point
6	7.855369798947988e+37	7.060039332591836e+38	8.173446512931632e+37
10	-7177.526510763842	-7.642915086960539e-08	-73.3241233383671

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	5875×	body	80	valid
504.0ms	986×	body	1280	valid
340.0ms	1046×	body	640	valid
155.0ms	537×	body	320	valid
101.0ms	306×	body	160	valid