Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
13.0ms	42×	body	640	valid
8.0ms	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 (2.0ms)

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

prune7.0ms

Filtered

1 candidates to 1 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 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`associate-l`
12×	`fma-def`
10×	`add-cube-cbrt`
9×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`distribute-lft-out`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `unswap-sqr`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 69

Calls

3 calls:

13.0ms	(+ (* x (sin y)) (* z (cos y)))
4.0ms	(* x (sin y))
4.0ms	(* z (cos y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* x (sin y)) (* z (cos y)))
37.0ms	(* x (sin y))
38.0ms	(* z (cos y))

simplify80.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	197	286
1	757	261
2	2524	261
3	5001	260

prune192.0ms

Filtered

78 candidates to 57 candidates (73.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	73	7	80

Merged error: 0.0b

Counts

80 → 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))

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

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

series460.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify115.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	137	508
1	544	435
2	3708	393
3	5001	387

prune295.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

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

series406.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
100.0ms	(cbrt (cbrt (cos y)))

simplify180.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 4 (175.0ms)

Iter	Nodes	Cost
0	83	298
1	223	276
2	693	268
3	3780	268
4	5001	264

prune287.0ms

Filtered

67 candidates to 56 candidates (83.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series397.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (cos y))
104.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify112.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (108.0ms)

Iter	Nodes	Cost
0	50	256
1	147	236
2	450	228
3	2269	228
4	5001	220

prune249.0ms

Filtered

64 candidates to 52 candidates (81.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

regimes168.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

616.0ms	1433×	body	1280	valid
317.0ms	1214×	body	640	valid
275.0ms	4435×	body	80	valid
105.0ms	584×	body	320	valid
46.0ms	334×	body	160	valid