Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	192×	body	80	valid
10.0ms	27×	body	1280	valid
8.0ms	32×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

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: 4.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
3.9b	(/ (* x (/ (sin y) y)) z)

rewrite37.0ms

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

13.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune183.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.2b	(/ (sin y) y)
2.2b	(/ x (/ z (/ (sin y) y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

8.0ms	(/ z (/ (sin y) y))
8.0ms	(/ (sin y) y)
17.0ms	(/ x (/ z (/ (sin y) y)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ z (/ (sin y) y))
27.0ms	(/ (sin y) y)
87.0ms	(/ x (/ z (/ (sin y) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1110	2950
1	5001	2830

prune753.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.1b	(/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`times-frac`
22×	`add-exp-log`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cbrt-cube`
13×	`associate-/r/`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
8×	`associate-/r*`
5×	`div-inv`
4×	`pow1` `frac-times` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`frac-2neg` `clear-num`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
22.0ms	(/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))))

series652.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt z)
177.0ms	(cbrt z)
170.0ms	(cbrt z)
128.0ms	(/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	445	1098
1	1929	911
2	5001	868

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))
2.2b	(/ x (/ z (* (sin y) (/ 1 y))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

53×	`times-frac`
49×	`add-exp-log`
38×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
31×	`add-cube-cbrt` `add-cbrt-cube`
22×	`div-exp`
13×	`cbrt-undiv` `associate-r`
12×	`prod-exp`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`div-inv`
6×	`associate-r/` `un-div-inv` `cbrt-unprod` `associate-/l`
5×	`pow1`
3×	`rec-exp` `1-exp` `associate-l` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 123

Calls

3 calls:

12.0ms	(/ z (* (sin y) (/ 1 y)))
19.0ms	(* (sin y) (/ 1 y))
18.0ms	(/ x (/ z (* (sin y) (/ 1 y))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ z (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))
86.0ms	(/ x (/ z (* (sin y) (/ 1 y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	535	862
1	2527	710
2	5001	697

prune241.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

79.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch62.0ms

Steps

Iters	Range		Point
7	3.331195896825249e-77	3.708363484814294e-75	3.650080489550203e-75
7	-1.6031325402931196e+40	-1.578514571336678e+38	-1.6897461511647357e+39

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

268.0ms	994×	body	1280	valid
244.0ms	5900×	body	80	valid
170.0ms	997×	body	640	valid
66.0ms	546×	body	320	valid
30.0ms	302×	body	160	valid