Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	37×	body	1280	valid
8.0ms	185×	body	80	valid
7.0ms	37×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series184.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
86.0ms	(/ (* x (/ (sin y) y)) z)

simplify983.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	145	935
1	332	898
2	1074	782
done	5001	782

prune260.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.7b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 170

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
50.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt z)
193.0ms	(cbrt z)
201.0ms	(cbrt z)
132.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify1.7s

Counts

182 → 182

Iterations

Useful iterations: 2 (790.0ms)

Iter	Nodes	Cost
0	310	2988
1	1027	2822
2	4542	2240
done	5000	2240

prune623.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)
3.5b	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `prod-exp` `clear-num` `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)))
3.0ms	(* x (expm1 (log1p (/ (sin y) y))))
3.0ms	(/ (sin y) y)
4.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

series475.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(expm1 (log1p (/ (sin y) y)))
99.0ms	(* x (expm1 (log1p (/ (sin y) y))))
45.0ms	(/ (sin y) y)
143.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

simplify2.3s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	140	966
1	273	813
2	802	717
3	4317	714
done	5000	714

prune293.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.2b	(/ y (sin y))
4.1b	(/ x (* z (/ y (sin y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

8.0ms	(* z (/ y (sin y)))
2.0ms	(/ y (sin y))
5.0ms	(/ x (* z (/ y (sin y))))

series183.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* z (/ y (sin y)))
24.0ms	(/ y (sin y))
86.0ms	(/ x (* z (/ y (sin y))))

simplify2.2s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	145	935
1	325	901
2	1025	784
3	4830	781
done	5000	781

prune233.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (3.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

284.0ms	1002×	body	1280	valid
274.0ms	5808×	body	80	valid
198.0ms	1034×	body	640	valid
71.0ms	537×	body	320	valid
27.0ms	292×	body	160	valid