Details

analyze436.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	236×	body	80	valid
1.0ms	25×	body	80	invalid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	7×	body	160	valid

simplify154.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	2425	11
1	2425	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(*.f64 (-.f64 y x) 6)
0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 78

Calls

4 calls:

4.0ms	(-.f64 2/3 z)
7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
11.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 2/3 z)
5.0ms	(*.f64 (-.f64 y x) 6)
13.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
10.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

simplify36.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5185	879

prune71.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.2b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.4b	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/_binary64`
13×	`associate-r_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `unsub-neg_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
9.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
9.0ms	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))

series32.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
5.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
9.0ms	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	1036
1	4947	1036

prune63.0ms

Filtered

66 candidates to 91 candidates (-37.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	90	9	99

Merged error: 0.0b

Counts

99 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
0.2b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
0.3b	(.f64 (.f64 6 z) (-.f64 x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
5×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
8.0ms	(.f64 (.f64 6 z) (-.f64 x y))

series36.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
13.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
9.0ms	(.f64 (.f64 6 z) (-.f64 x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4963	970
1	4963	970

prune47.0ms

Filtered

46 candidates to 64 candidates (-39.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (pow.f64 (.f64 -6 (*.f64 (-.f64 y x) z)) 1))
0.2b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.3b	(.f64 -6 (.f64 (-.f64 y x) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `associate-+l+_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

10.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (pow.f64 (.f64 -6 (*.f64 (-.f64 y x) z)) 1))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
8.0ms	(.f64 -6 (.f64 (-.f64 y x) z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (pow.f64 (.f64 -6 (*.f64 (-.f64 y x) z)) 1))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
9.0ms	(.f64 -6 (.f64 (-.f64 y x) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4914	579
1	4914	579

prune30.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

regimes134.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	256	15
1	256	15

end0.0ms

sample553.0ms

Algorithm

intervals

Results

263.0ms	7293×	body	80	valid
32.0ms	249×	body	640	valid
25.0ms	610×	body	80	invalid
23.0ms	142×	body	1280	valid
20.0ms	199×	body	320	valid
8.0ms	117×	body	160	valid

Details

analyze436.0ms

sample22.0ms

simplify154.0ms

prune5.0ms

localize7.0ms

rewrite28.0ms

series30.0ms

simplify36.0ms

prune71.0ms

localize9.0ms

rewrite32.0ms

series32.0ms

simplify60.0ms

prune63.0ms

localize9.0ms

rewrite28.0ms

series36.0ms

simplify53.0ms

prune47.0ms

localize12.0ms

rewrite23.0ms

series28.0ms

simplify53.0ms

prune30.0ms

regimes134.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample553.0ms

Profiling