Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	31×	body	1280	valid
8.0ms	196×	body	80	valid
5.0ms	26×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	12×	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: 2.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
65.0ms	(/ (* x (/ (sin y) y)) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune212.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize9.0ms

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)) (/ 1 z))

rewrite25.0ms

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` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
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-*l/` `clear-num` `un-div-inv`

Counts

3 → 111

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
10.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series148.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	487	693
1	2670	577
2	5001	564

prune242.0ms

Filtered

120 candidates to 78 candidates (65.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.5b	(/ x (/ z (/ (sin y) y)))

rewrite42.0ms

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:

9.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
12.0ms	(/ x (/ z (/ (sin y) y)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ z (/ (sin y) y))
26.0ms	(/ (sin y) y)
80.0ms	(/ x (/ z (/ (sin y) y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5001	2852

prune814.0ms

Filtered

308 candidates to 265 candidates (86.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	304	4	308
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	310	5	315

Merged error: 0b

Counts

315 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
2.5b	(/ x (/ (/ z (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

11375×	`times-frac`
4257×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2889×	`cbrt-prod`
805×	`associate-/r*`
725×	`div-inv`
165×	`associate-/r/`
74×	`add-exp-log`
49×	`cbrt-undiv` `div-exp`
46×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`frac-2neg` `clear-num`

Counts

4 → 3301

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
156.0ms	(/ x (/ (/ z (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
118.0ms	(/ x (/ (/ z (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))))

simplify838.0ms

Algorithm

egg-herbie

Counts

3313 → 3313

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5692	103841

prune16.3s

Filtered

3313 candidates to 3305 candidates (99.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	3312	1	3313
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	3313	5	3318

Merged error: 0b

Counts

3318 → 5

regimes156.0ms

Accuracy

86.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch92.0ms

Steps

Iters	Range		Point
8	2.3534274151300485e+26	1.124268808128006e+31	5.2866687389386045e+26
9	-3.1202611745485715e-85	-4.1747844910918537e-94	-2.749895040260012e-85

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

283.0ms	1014×	body	1280	valid
244.0ms	5831×	body	80	valid
189.0ms	1036×	body	640	valid
72.0ms	570×	body	320	valid
31.0ms	306×	body	160	valid