Details

sample106.0ms

Algorithm

intervals

Results

24.0ms	34×	body	1280	valid
24.0ms	179×	body	80	valid
23.0ms	22×	body	320	valid
19.0ms	33×	body	640	valid
4.0ms	15×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite56.0ms

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))
13.0ms	(/ (sin y) y)
25.0ms	(/ (* x (/ (sin y) y)) z)

series172.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
78.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.0s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1717
1	349
0	142

prune411.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.5b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite73.0ms

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×	`rec-exp` `associate-/r` `1-exp` `insert-posit16` `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 → 108

Calls

3 calls:

16.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
45.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series176.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* x (/ (sin y) y))
32.0ms	(/ (sin y) y)
76.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	3006
1	506
0	182

prune429.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
2.5b	(* (* (/ x (* (/ (cbrt y) (cbrt (sin y))) (/ (cbrt y) (cbrt (sin y))))) (/ (cbrt (sin y)) (cbrt y))) (/ 1 z))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

297×	`add-exp-log`
132×	`prod-exp`
122×	`div-exp`
101×	`add-cbrt-cube`
66×	`cbrt-unprod`
61×	`cbrt-undiv`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`rec-exp` `1-exp` `associate-r`
9×	`cbrt-prod` `pow1` `times-frac`
5×	`frac-times` `associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*r/`
1×	`associate-l` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 147

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
205.0ms	(* (* (/ x (* (/ (cbrt y) (cbrt (sin y))) (/ (cbrt y) (cbrt (sin y))))) (/ (cbrt (sin y)) (cbrt y))) (/ 1 z))

series518.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (sin y))
121.0ms	(cbrt (sin y))
139.0ms	(cbrt (sin y))
133.0ms	(* (* (/ x (* (/ (cbrt y) (cbrt (sin y))) (/ (cbrt y) (cbrt (sin y))))) (/ (cbrt (sin y)) (cbrt y))) (/ 1 z))

simplify2.0s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
1	969
0	259

prune666.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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)
1.0ms	(cbrt z)
37.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

342.0ms	(cbrt z)
338.0ms	(cbrt z)
328.0ms	(cbrt z)
126.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify1.4s

Counts

178 → 178

Iterations

Iter	Nodes
done	5000
1	1130
0	308

prune867.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes428.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	1056×	body	640	valid
807.0ms	5788×	body	80	valid
788.0ms	1007×	body	1280	valid
208.0ms	527×	body	320	valid
78.0ms	329×	body	160	valid