Details

sample46.0ms

Algorithm

intervals

Results

13.0ms	190×	body	80	valid
13.0ms	41×	body	1280	valid
6.0ms	28×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	6×	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: 3.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ (* x (/ (sin y) y)) z)

rewrite21.0ms

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:

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

series143.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)
65.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (11.0ms)

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

prune199.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.3b	(* x (/ (/ (sin y) y) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

9.0ms	(/ (/ (sin y) y) z)
3.0ms	(/ (sin y) y)
19.0ms	(* x (/ (/ (sin y) y) z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (/ (sin y) y) z)
30.0ms	(/ (sin y) y)
66.0ms	(* x (/ (/ (sin y) y) z))

simplify78.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune420.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
0.4b	(/ (/ 1 1) (/ z (/ (sin y) y)))
2.3b	(* x (/ (/ 1 1) (/ z (/ (sin y) y))))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

3853×	`times-frac`
1686×	`add-sqr-sqrt`
1636×	`*-un-lft-identity`
1624×	`add-cube-cbrt`
577×	`associate-r`
205×	`div-inv`
154×	`add-exp-log`
112×	`div-exp`
61×	`add-cbrt-cube`
60×	`associate-/r*`
34×	`cbrt-undiv`
30×	`1-exp` `associate-/r/`
22×	`prod-exp`
19×	`associate-/l*`
16×	`unswap-sqr`
12×	`rec-exp`
7×	`cbrt-unprod`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

4 → 1400

Calls

4 calls:

5.0ms	(/ z (/ (sin y) y))
3.0ms	(/ (sin y) y)
24.0ms	(/ (/ 1 1) (/ z (/ (sin y) y)))
174.0ms	(* x (/ (/ 1 1) (/ z (/ (sin y) y))))

series227.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ z (/ (sin y) y))
28.0ms	(/ (sin y) y)
53.0ms	(/ (/ 1 1) (/ z (/ (sin y) y)))
82.0ms	(* x (/ (/ 1 1) (/ z (/ (sin y) y))))

simplify176.0ms

Algorithm

egg-herbie

Counts

1412 → 1412

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5001	15329

prune3.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
52×	`prod-exp`
39×	`add-cbrt-cube`
33×	`div-exp`
22×	`cbrt-unprod`
15×	`cbrt-undiv`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`rec-exp` `1-exp`
4×	`associate-*r/` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 82

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
87.0ms	(* x (* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt z)
178.0ms	(cbrt z)
178.0ms	(cbrt z)
110.0ms	(* x (* (/ 1 (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	524	798
1	2338	609
2	5002	535

prune178.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes223.0ms

Accuracy

78.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.1b

bsearch92.0ms

Steps

Iters	Range		Point
9	1.8264699465001106e+111	1.646495042169786e+116	1.845875630797971e+111
6	-8.871524440761445e+84	-1.3458801729278124e+84	-1.3667947332442653e+84

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

392.0ms	5873×	body	80	valid
317.0ms	979×	body	1280	valid
225.0ms	996×	body	640	valid
93.0ms	553×	body	320	valid
35.0ms	287×	body	160	valid