Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
7.0ms	185×	body	80	valid
6.0ms	36×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))
1.8b	(/ (* 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:

3.0ms	(/ (sin y) y)
8.0ms	(* x (/ (sin y) y))
5.0ms	(/ (* x (/ (sin y) y)) z)

series147.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (sin y) y)
53.0ms	(* x (/ (sin y) y))
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune209.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
0.5b	(/ 1 (/ z (* x (/ (sin y) y))))
1.8b	(/ z (* x (/ (sin y) y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

3.0ms	(/ (sin y) y)
7.0ms	(* x (/ (sin y) y))
10.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (sin y) y)
53.0ms	(* x (/ (sin y) y))
66.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
97.0ms	(/ z (* x (/ (sin y) y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	518	1041
1	2809	893
2	5001	852

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
0.1b	(/ 1 (* x (/ (sin y) y)))
2.4b	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
170×	`add-exp-log`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt` `*-un-lft-identity`
107×	`div-exp`
52×	`add-cbrt-cube`
32×	`prod-exp`
27×	`div-inv`
26×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/l*`
16×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
9×	`pow1`
8×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `pow-prod-down` `unswap-sqr`
1×	`*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 285

Calls

4 calls:

3.0ms	(/ (sin y) y)
8.0ms	(* x (/ (sin y) y))
7.0ms	(/ 1 (* x (/ (sin y) y)))
17.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (sin y) y)
53.0ms	(* x (/ (sin y) y))
49.0ms	(/ 1 (* x (/ (sin y) y)))
70.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1172	2560
1	5001	2172

prune436.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
0.5b	(/ (/ (sqrt 1) 1) (/ z (* x (/ (sin y) y))))
1.8b	(/ z (* x (/ (sin y) y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

429×	`times-frac`
190×	`add-sqr-sqrt`
185×	`add-cube-cbrt` `*-un-lft-identity`
81×	`sqrt-prod`
66×	`add-exp-log`
52×	`add-cbrt-cube`
38×	`div-exp`
36×	`div-inv`
28×	`associate-/l*`
26×	`cbrt-undiv`
25×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
8×	`cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 329

Calls

4 calls:

3.0ms	(/ (sin y) y)
7.0ms	(* x (/ (sin y) y))
18.0ms	(/ (/ (sqrt 1) 1) (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (sin y) y)
53.0ms	(* x (/ (sin y) y))
69.0ms	(/ (/ (sqrt 1) 1) (/ z (* x (/ (sin y) y))))
99.0ms	(/ z (* x (/ (sin y) y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1393	3660
1	5002	2868

prune498.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

87.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch44.0ms

Steps

Iters	Range		Point
8	1.6983769221327062e-68	1.1019020778390166e-64	1.0082889708193085e-64
0	-8.61012292905872e+83	-8.482558594993094e+83	-8.546340762025908e+83

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

304.0ms	1040×	body	1280	valid
237.0ms	5796×	body	80	valid
190.0ms	1034×	body	640	valid
76.0ms	588×	body	320	valid
27.0ms	299×	body	160	valid