Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
9.0ms	190×	body	80	valid
6.0ms	29×	body	640	valid
2.0ms	17×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.5b	(/ (* 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:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
72.0ms	(/ (* x (/ (sin y) y)) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (12.0ms)

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

prune185.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
14.0ms	(* x (/ (/ (sin y) y) z))

series133.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (/ (sin y) y) z)
25.0ms	(/ (sin y) y)
71.0ms	(* x (/ (/ (sin y) y) z))

simplify76.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	613	1200
1	2878	1122
2	5001	1122

prune347.0ms

Filtered

177 candidates to 143 candidates (80.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	177	6	183

Merged error: 0b

Counts

183 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (/ y (sin y))) z)
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
2.4b	(* x (/ (/ 1 (/ y (sin y))) z))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
411×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`add-cube-cbrt`
136×	`associate-r`
64×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`cbrt-undiv`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 478

Calls

4 calls:

13.0ms	(/ (/ 1 (/ y (sin y))) z)
4.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
39.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (/ 1 (/ y (sin y))) z)
22.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))
70.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify88.0ms

Algorithm

egg-herbie

Counts

490 → 490

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1690	4413
1	5001	4003

prune929.0ms

Filtered

490 candidates to 346 candidates (70.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	490	0	490
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	490	6	496

Merged error: 0b

Counts

496 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

5.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
15.0ms	(/ x (/ z (/ (sin y) y)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ z (/ (sin y) y))
25.0ms	(/ (sin y) y)
82.0ms	(/ x (/ z (/ (sin y) y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5002	2852

prune665.0ms

Filtered

308 candidates to 264 candidates (85.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	308	6	314

Merged error: 0b

Counts

314 → 6

regimes174.0ms

Accuracy

69.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.9b

bsearch86.0ms

Steps

Iters	Range		Point
9	6.161345755032273e+23	8.924777875844473e+28	3.485838945152112e+24
10	-5.981074677448966e+217	-4.315030875303237e+205	-4.393962190331735e+205

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

322.0ms	1009×	body	1280	valid
294.0ms	5841×	body	80	valid
206.0ms	989×	body	640	valid
84.0ms	576×	body	320	valid
32.0ms	316×	body	160	valid