Details

sample82.0ms

Algorithm

intervals

Results

20.0ms	31×	body	1280	valid
19.0ms	193×	body	80	valid
14.0ms	31×	body	640	valid
5.0ms	15×	body	320	valid
2.0ms	11×	body	160	valid

simplify107.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
1.9b	(/ (* x (/ (sin y) y)) z)

rewrite63.0ms

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	(/ (sin y) y)
22.0ms	(* x (/ (sin y) y))
20.0ms	(/ (* x (/ (sin y) y)) z)

series218.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (sin y) y)
67.0ms	(* x (/ (sin y) y))
100.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1185
1	344
0	145

prune664.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(/ (sin y) y)
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
1.9b	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

0.0ms	(expm1 (log1p (/ (sin y) y)))
10.0ms	(/ (sin y) y)
5.0ms	(* x (expm1 (log1p (/ (sin y) y))))
8.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

series502.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(expm1 (log1p (/ (sin y) y)))
34.0ms	(/ (sin y) y)
125.0ms	(* x (expm1 (log1p (/ (sin y) y))))
145.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

simplify2.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
3	3394
2	885
1	287
0	140

prune531.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

1.9b	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)
14.5b	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))
14.5b	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))
14.5b	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

13.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)
3.0ms	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))
3.0ms	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))
3.0ms	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))

series921.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)
227.0ms	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))
257.0ms	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))
284.0ms	(cbrt (/ (* x (expm1 (log1p (/ (sin y) y)))) z))

simplify2.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5177
3	3672
2	814
1	249
0	117

prune798.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
3.5b	(* x (/ (/ (sin y) y) z))

rewrite61.0ms

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:

11.0ms	(/ (/ (sin y) y) z)
9.0ms	(/ (sin y) y)
35.0ms	(* x (/ (/ (sin y) y) z))

series224.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (/ (sin y) y) z)
48.0ms	(/ (sin y) y)
128.0ms	(* x (/ (/ (sin y) y) z))

simplify1.7s

Counts

177 → 177

Iterations

Iter	Nodes
done	5003
2	2072
1	637
0	254

prune887.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes634.0ms

Accuracy

89.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	1029×	body	1280	valid
547.0ms	5780×	body	80	valid
418.0ms	990×	body	640	valid
155.0ms	600×	body	320	valid
104.0ms	297×	body	160	valid