Details

analyze2.2s (34.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 28 to 20 computations (28.6% saved)

sample2.1s (33.6%)

Results

1.3s	8251×	body	128	valid
781.0ms	4703×	body	128	invalid
1.0ms	2×	body	1024	valid
1.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-neg_binary64`
474×	`distribute-neg-in_binary64`
463×	`associate--l-_binary64`
362×	`associate--r-_binary64`
354×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	49	27
2	141	25
3	466	25
4	1615	25
5	3794	25
6	4547	25
7	4966	25

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
▶	0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))

Compiler

Compiled 147 to 98 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) z)
✓	0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
✓	0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

series28.0ms (0.4%)

Counts

3 → 96

Calls

3 calls:

17.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
4.0ms	(*.f64 (-.f64 y 1) z)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64`
8×	`associate-*l/_binary64`

Counts

3 → 82

Calls

3 calls:

7.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
6.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
5.0ms	(*.f64 (-.f64 y 1) z)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-neg_binary64`
860×	`fma-def_binary64`
292×	`associate-+l+_binary64`
186×	`cancel-sign-sub-inv_binary64`
167×	`distribute-rgt-neg-in_binary64`

Counts

178 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2752
1	583	2565
2	1950	2375
3	4503	2375
4	5248	2375

prune155.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	168	3	171

Error

Counts

171 → 3

Alt Table

Status	Error	Program
	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
	0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b)))
▶	0.0b	(+.f64 (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)) (*.f64 (-.f64 (+.f64 y t) 2) b))

Compiler

Compiled 4936 to 2827 computations (42.7% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (-.f64 1 y) x)
✓	0.0b	(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
	0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

series24.0ms (0.4%)

Counts

2 → 96

Calls

2 calls:

17.0ms	(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
6.0ms	(fma.f64 z (-.f64 1 y) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
0.0ms	(fma.f64 z (-.f64 1 y) x)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-def_binary64`
408×	`unsub-neg_binary64`
365×	`associate-l_binary64`
334×	`associate-r_binary64`
320×	`distribute-neg-out_binary64`

Counts

116 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	1527
1	126	1421
2	277	1331
3	858	1327
4	3230	1327
5	4995	1327

prune88.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	103	2	105

Error

Counts

105 → 2

Alt Table

Status	Error	Program
	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
▶	0.0b	(+.f64 (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)) (-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b)))

Compiler

Compiled 2426 to 1334 computations (45% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 z (-.f64 1 y) x)
✓	0.0b	(+.f64 (.f64 y b) (.f64 t b))
	0.0b	(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
✓	0.0b	(-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b))

series16.0ms (0.3%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b))
7.0ms	(+.f64 (.f64 y b) (.f64 t b))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`fma-neg_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`prod-diff_binary64`

Counts

2 → 39

Calls

2 calls:

6.0ms	(-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b))
3.0ms	(+.f64 (.f64 y b) (.f64 t b))

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
545×	`associate-l_binary64`
531×	`fma-def_binary64`
467×	`associate-r_binary64`
283×	`cancel-sign-sub-inv_binary64`

Counts

75 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	814
1	237	743
2	825	718
3	3360	716
4	4561	716
5	4999	716
6	4893	716

prune151.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Error

Counts

133 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
✓	0.0b	(+.f64 (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)) (-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b)))

Compiler

Compiled 3583 to 1638 computations (54.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
✓	0.0b	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))

series50.0ms (0.8%)

Counts

2 → 132

Calls

2 calls:

33.0ms	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
17.0ms	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
0.0ms	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

482×	`associate--l+_binary64`
479×	`associate--r+_binary64`
436×	`sub-neg_binary64`
415×	`associate-+l+_binary64`
273×	`associate-l_binary64`

Counts

152 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	3199
1	275	3115
2	832	2962
3	2890	2960
4	4883	2960
5	5007	2960

prune70.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	2	76

Error

Counts

76 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
✓	0.0b	(+.f64 (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)) (-.f64 (+.f64 (.f64 y b) (.f64 t b)) (*.f64 2 b)))

Compiler

Compiled 1484 to 714 computations (51.9% saved)

regimes911.0ms (14.3%)

Accuracy

Total 0.0b remaining (52.4%)

Threshold costs 0.0b (52.4%)

Counts

131 → 1

Compiler

Compiled 20501 to 13970 computations (31.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	26	28
2	33	28
3	37	28
4	39	28
5	38	28

end63.0ms (1%)

Compiler: Compiled 105 to 69 computations (34.3% saved)

Details

analyze2.2s (34.1%)

sample2.1s (33.6%)

simplify58.0ms (0.9%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

series28.0ms (0.4%)

rewrite23.0ms (0.4%)

simplify93.0ms (1.5%)

prune155.0ms (2.4%)

localize13.0ms (0.2%)

series24.0ms (0.4%)

rewrite1.0ms (0%)

simplify67.0ms (1.1%)

prune88.0ms (1.4%)

localize16.0ms (0.2%)

series16.0ms (0.3%)

rewrite11.0ms (0.2%)

simplify85.0ms (1.3%)

prune151.0ms (2.4%)

localize12.0ms (0.2%)

series50.0ms (0.8%)

rewrite1.0ms (0%)

simplify105.0ms (1.7%)

prune70.0ms (1.1%)

regimes911.0ms (14.3%)

simplify3.0ms (0%)

end63.0ms (1%)

Profiling