Details

sample56.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
9.0ms	32×	body	640	valid
9.0ms	138×	body	80	valid
5.0ms	25×	body	320	valid
2.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos 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)))
8.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))
38.0ms	(* x (cos y))

simplify62.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

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

prune134.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	11	58

Merged error: 0.0b

Counts

58 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos 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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series459.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune221.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.6b	(cbrt (* z (sin y)))
7.6b	(cbrt (* z (sin y)))
7.6b	(cbrt (* z (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
122.0ms	(cbrt (* z (sin y)))
131.0ms	(cbrt (* z (sin y)))
124.0ms	(cbrt (* z (sin y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	190	460
1	631	408
2	3021	354
3	5001	332

prune206.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	70	11	81

Merged error: 0.0b

Counts

81 → 11

localize14.0ms

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))

rewrite13.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series428.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
105.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))
104.0ms	(cbrt (sin y))

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune214.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

regimes133.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

744.0ms	1562×	body	1280	valid
367.0ms	1244×	body	640	valid
280.0ms	4265×	body	80	valid
130.0ms	601×	body	320	valid
50.0ms	328×	body	160	valid

Details

sample56.0ms

simplify6.0ms

prune2.0ms

localize10.0ms

rewrite17.0ms

series145.0ms

simplify62.0ms

prune134.0ms

localize16.0ms

rewrite12.0ms

series459.0ms

simplify108.0ms

prune221.0ms

localize14.0ms

rewrite15.0ms

series530.0ms

simplify88.0ms

prune206.0ms

localize14.0ms

rewrite13.0ms

series428.0ms

simplify95.0ms

prune214.0ms

regimes133.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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