Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	41×	body	1280	valid
12.0ms	44×	body	640	valid
9.0ms	146×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series29.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (* x (cos y)) (* z (sin y)))
6.0ms	(* x (cos y))
8.0ms	(* z (sin y))

simplify59.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune84.0ms

Filtered

57 candidates to 39 candidates (31.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite12.0ms

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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms	(cbrt (sin y))
17.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))

simplify115.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	403
3	5002	397

prune119.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))
17.0ms	(cbrt (sin y))
22.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	123	333
1	334	305
2	1294	275
3	5001	228

prune90.0ms

Filtered

54 candidates to 44 candidates (18.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin y) 2)
0.3b	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
18.8b	(pow (pow (sin y) 2) 1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

2.0ms	(pow (sin y) 2)
9.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
4.0ms	(pow (pow (sin y) 2) 1/3)

series50.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (sin y) 2)
7.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
17.0ms	(cbrt (sin y))
22.0ms	(pow (pow (sin y) 2) 1/3)

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	361	514
1	1427	443
2	5001	406

prune102.0ms

Filtered

91 candidates to 54 candidates (40.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

regimes313.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	20
1	18	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

677.0ms	1534×	body	1280	valid
364.0ms	1292×	body	640	valid
260.0ms	4217×	body	80	valid
120.0ms	641×	body	320	valid
42.0ms	316×	body	160	valid

Details

sample56.0ms

simplify4.0ms

prune4.0ms

localize9.0ms

rewrite17.0ms

series29.0ms

simplify59.0ms

prune84.0ms

localize16.0ms

rewrite12.0ms

series78.0ms

simplify115.0ms

prune119.0ms

localize17.0ms

rewrite10.0ms

series77.0ms

simplify53.0ms

prune90.0ms

localize20.0ms

rewrite18.0ms

series50.0ms

simplify47.0ms

prune102.0ms

regimes313.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling