Details

sample55.0ms

Algorithm

intervals

Results

21.0ms	46×	body	1280	valid
11.0ms	42×	body	640	valid
7.0ms	133×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	21	5
2	25	5
3	25	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	(* x (cos y))
0.1b	(* z (sin y))

rewrite13.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

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

series142.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* x (cos y)) (* z (sin y)))
39.0ms	(* x (cos y))
37.0ms	(* z (sin y))

simplify65.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	190	289
1	696	265
2	2348	265
3	5002	261

prune161.0ms

Filtered

65 candidates to 47 candidates (72.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	55	10	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

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))

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

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))

series442.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune291.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

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

series188.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (sin y))
36.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	304	456
1	1308	399
2	5001	375

prune287.0ms

Filtered

92 candidates to 60 candidates (65.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

1.0ms	(log1p (expm1 (cbrt (cos y))))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(log1p (expm1 (cbrt (cos y))))
16.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))
189.0ms	(expm1 (cbrt (cos y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	177	249
1	598	221
2	2242	214
3	5001	213

prune224.0ms

Filtered

67 candidates to 44 candidates (65.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	67	10	77

Merged error: 0.0b

Counts

77 → 10

regimes136.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

605.0ms	1433×	body	1280	valid
312.0ms	1213×	body	640	valid
250.0ms	4439×	body	80	valid
112.0ms	585×	body	320	valid
40.0ms	330×	body	160	valid