Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	33×	body	1280	valid
9.0ms	169×	body	80	valid
8.0ms	28×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.2b	(* z (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (+ x (sin y)) (* z (cos y)))
6.0ms	(* z (cos y))

simplify64.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	152	192
1	605	176
2	2510	176
3	5001	176

prune62.0ms

Filtered

37 candidates to 26 candidates (29.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Merged error: 0.0b

Counts

38 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series77.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune103.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series55.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))
27.0ms	(cbrt (pow (cos y) 2))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	236	416
1	1087	359
2	5001	345

prune112.0ms

Filtered

78 candidates to 50 candidates (35.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (log (exp (pow (cos y) 2))))
0.8b	(log (exp (pow (cos y) 2)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-pow`
16×	`exp-prod`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
7×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 69

Calls

4 calls:

2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (log (exp (pow (cos y) 2))))
3.0ms	(log (exp (pow (cos y) 2)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))
28.0ms	(cbrt (log (exp (pow (cos y) 2))))
3.0ms	(log (exp (pow (cos y) 2)))

simplify77.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	192	363
1	589	298
2	2139	291
3	5002	289

prune118.0ms

Filtered

81 candidates to 57 candidates (29.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	7	88

Merged error: 0.0b

Counts

88 → 7

regimes271.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.4s

Algorithm

intervals

Results

440.0ms	1009×	body	1280	valid
326.0ms	5568×	body	80	valid
237.0ms	830×	body	640	valid
75.0ms	402×	body	320	valid
26.0ms	191×	body	160	valid

Details

sample50.0ms

simplify5.0ms

prune4.0ms

localize14.0ms

rewrite10.0ms

series18.0ms

simplify64.0ms

prune62.0ms

localize13.0ms

rewrite11.0ms

series77.0ms

simplify108.0ms

prune103.0ms

localize15.0ms

rewrite14.0ms

series55.0ms

simplify38.0ms

prune112.0ms

localize19.0ms

rewrite12.0ms

series51.0ms

simplify77.0ms

prune118.0ms

regimes271.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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