Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	34×	body	640	valid
13.0ms	38×	body	1280	valid
10.0ms	179×	body	80	valid
5.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify30.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.0b	(* x (/ (/ (sin y) y) z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 168

Calls

3 calls:

12.0ms	(/ (/ (sin y) y) z)
7.0ms	(/ (sin y) y)
29.0ms	(* x (/ (/ (sin y) y) z))

series171.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (/ (sin y) y) z)
31.0ms	(/ (sin y) y)
89.0ms	(* x (/ (/ (sin y) y) z))

simplify1.2s

Counts

177 → 177

Iterations

Iter	Nodes
done	5002
2	3219
1	662
0	254

prune978.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 81

Calls

2 calls:

13.0ms	(/ (sin y) y)
39.0ms	(* (/ x z) (/ (sin y) y))

series162.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (sin y) y)
127.0ms	(* (/ x z) (/ (sin y) y))

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2172
1	392
0	144

prune488.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) z)
2.0b	(* x (* 1 (/ (/ (sin y) z) y)))
8.3b	(/ (/ (sin y) z) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
33×	`add-exp-log`
24×	`add-cbrt-cube`
16×	`associate-/l*`
13×	`prod-exp`
10×	`div-exp`
8×	`pow1`
7×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-/r*` `div-inv`
3×	`expm1-log1p-u` `1-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`associate-r` `*-commutative` `associate-/l/`

Counts

3 → 129

Calls

3 calls:

7.0ms	(/ (sin y) z)
42.0ms	(* x (* 1 (/ (/ (sin y) z) y)))
18.0ms	(/ (/ (sin y) z) y)

series219.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (sin y) z)
129.0ms	(* x (* 1 (/ (/ (sin y) z) y)))
56.0ms	(/ (/ (sin y) z) y)

simplify1.8s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	3423
1	611
0	241

prune711.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

2.0b	(* x (* 1 (/ (sin y) (* y z))))
5.1b	(/ (sin y) (* y z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

42.0ms	(* x (* 1 (/ (sin y) (* y z))))
10.0ms	(/ (sin y) (* y z))

series172.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* x (* 1 (/ (sin y) (* y z))))
59.0ms	(/ (sin y) (* y z))

simplify1.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
2	2102
1	314
0	120

prune235.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes427.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.6b

bsearch111.0ms

Steps

Iters	Range		Point
7	3.706179361254672e-38	6.903866848428764e-37	9.627811326025673e-38
7	-4.632829109756021e-12	-9.761299063736513e-14	-1.0871658163856353e-13

simplify6.0ms

Iterations

Iter	Nodes
done	27
2	27
1	26
0	18

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	5803×	body	80	valid
749.0ms	1031×	body	1280	valid
469.0ms	1070×	body	640	valid
179.0ms	549×	body	320	valid
50.0ms	286×	body	160	valid