Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	188×	body	80	valid
10.0ms	32×	body	1280	valid
6.0ms	27×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
1.7b	(/ (* x (/ (sin y) y)) z)

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-/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:

3.0ms	(/ (sin y) y)
7.0ms	(* x (/ (sin y) y))
6.0ms	(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (sin y) y)
54.0ms	(* x (/ (sin y) y))
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune208.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite58.0ms

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)
48.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt z)
173.0ms	(cbrt z)
172.0ms	(cbrt z)
107.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1027	1830
1	5001	1529

prune567.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(* x (/ 1 (/ y (sin y))))
1.7b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))
24.0ms	(* x (/ 1 (/ y (sin y))))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series177.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ y (sin y))
31.0ms	(/ 1 (/ y (sin y)))
53.0ms	(* x (/ 1 (/ y (sin y))))
71.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify88.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	720	1479
1	3714	1260
2	5002	1123

prune415.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ (- x) (/ y (sin y)))
1.7b	(/ (/ (- x) (/ y (sin y))) (- z))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

4008×	`times-frac`
1748×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
879×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
293×	`neg-mul-1`
148×	`associate-/l*`
135×	`div-inv`
26×	`associate-/r*`
19×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`neg-sub0`
1×	`associate-/l/`

Counts

3 → 1717

Calls

3 calls:

2.0ms	(/ y (sin y))
8.0ms	(/ (- x) (/ y (sin y)))
61.0ms	(/ (/ (- x) (/ y (sin y))) (- z))

series159.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ y (sin y))
66.0ms	(/ (- x) (/ y (sin y)))
73.0ms	(/ (/ (- x) (/ y (sin y))) (- z))

simplify227.0ms

Algorithm

egg-herbie

Counts

1726 → 1726

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5001	25214

prune4.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

94.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch89.0ms

Steps

Iters	Range		Point
8	1380249632226409.0	4.914394902755447e+18	2.042732523728719e+16
8	-3.7208900824602957e-25	-7.867221224566218e-28	-3.3341519654404754e-26

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	31	10
2	34	10
3	34	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

407.0ms	5916×	body	80	valid
325.0ms	1002×	body	1280	valid
215.0ms	1006×	body	640	valid
85.0ms	531×	body	320	valid
34.0ms	285×	body	160	valid