Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	33×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	147×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	15×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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))

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×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

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

series143.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
40.0ms	(* z (sin y))

simplify75.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	195	268
1	748	244
2	2510	244
3	5003	243

prune145.0ms

Filtered

63 candidates to 47 candidates (74.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	54	9	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	9	64

Merged error: 0.0b

Counts

64 → 9

localize13.0ms

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))

rewrite15.0ms

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)))
3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify109.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (103.0ms)

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

prune249.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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))

series192.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (sin y))
36.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

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

prune233.0ms

Filtered

92 candidates to 60 candidates (65.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 6))
0.5b	(pow (cos y) 6)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 6))
3.0ms	(pow (cos y) 6)

series196.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
18.0ms	(cbrt (pow (cos y) 6))
41.0ms	(pow (cos y) 6)

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	264	503
1	1160	432
2	5001	423

prune220.0ms

Filtered

86 candidates to 59 candidates (68.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

regimes116.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

612.0ms	1452×	body	1280	valid
311.0ms	1239×	body	640	valid
250.0ms	4359×	body	80	valid
109.0ms	642×	body	320	valid
37.0ms	308×	body	160	valid