Details

sample33.0ms

Algorithm

intervals

Results

7.0ms	29×	body	1280	valid
7.0ms	181×	body	80	valid
5.0ms	29×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify10.0ms

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: 1.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.5b	(/ (* x (/ (sin y) y)) z)

rewrite43.0ms

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:

14.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
72.0ms	(/ (* x (/ (sin y) y)) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune214.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (sin y) y)
1.5b	(/ (* (/ (sin y) y) x) z)

rewrite42.0ms

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-l`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

16.0ms	(* (/ (sin y) y) x)
9.0ms	(/ (sin y) y)
15.0ms	(/ (* (/ (sin y) y) x) z)

series140.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (/ (sin y) y) x)
25.0ms	(/ (sin y) y)
68.0ms	(/ (* (/ (sin y) y) x) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	333	503
1	1583	434
2	5001	434

prune219.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (sin y) y)
1.6b	(* (* (/ (sin y) y) x) (/ 1 z))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`prod-exp`
16×	`associate-r`
14×	`associate-l`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv`

Counts

3 → 111

Calls

3 calls:

16.0ms	(* (/ (sin y) y) x)
11.0ms	(/ (sin y) y)
37.0ms	(* (* (/ (sin y) y) x) (/ 1 z))

series136.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (/ (sin y) y) x)
25.0ms	(/ (sin y) y)
71.0ms	(* (* (/ (sin y) y) x) (/ 1 z))

simplify61.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	481	685
1	2541	567
2	5001	554

prune256.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (sin y) y)
0.6b	(/ 1 (/ z (* (/ (sin y) y) x)))
1.3b	(/ z (* (/ (sin y) y) x))

rewrite67.0ms

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-l`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*l/` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

16.0ms	(* (/ (sin y) y) x)
12.0ms	(/ (sin y) y)
22.0ms	(/ 1 (/ z (* (/ (sin y) y) x)))
12.0ms	(/ z (* (/ (sin y) y) x))

series234.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ (sin y) y) x)
26.0ms	(/ (sin y) y)
89.0ms	(/ 1 (/ z (* (/ (sin y) y) x)))
78.0ms	(/ z (* (/ (sin y) y) x))

simplify68.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	536	1048
1	2718	893
2	5001	849

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes138.0ms

Accuracy

83% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.8b

bsearch63.0ms

Steps

Iters	Range		Point
6	1.0259030552896696e+108	9.413056898863044e+108	1.1602671197659815e+108
9	-2.31404309910768e+44	-4.3463433571433286e+38	-2.4798628145166397e+39

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

276.0ms	996×	body	1280	valid
243.0ms	5821×	body	80	valid
175.0ms	1009×	body	640	valid
71.0ms	547×	body	320	valid
26.0ms	290×	body	160	valid