Details

analyze1.6s (38.6%)

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
3.1%	96.6%	0.3%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.7s (42.6%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

Results

1.2s	8256×	body	128	valid
535.0ms	4157×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	20	12
2	35	12
3	43	12
4	43	12

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 56 to 31 computations (44.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series28.0ms (0.7%)

Counts

2 → 120

Calls

2 calls:

17.0ms	(fma.f64 a b (fma.f64 x y (*.f64 z t)))
11.0ms	(fma.f64 x y (*.f64 z t))

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 b (fma.f64 x y (*.f64 z t)))
0.0ms	(fma.f64 x y (*.f64 z t))

simplify132.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

914×	`distribute-lft-in_binary64`
914×	`distribute-rgt-in_binary64`
738×	`unswap-sqr_binary64`
682×	`distribute-rgt-out_binary64`
377×	`fma-def_binary64`

Counts

140 → 47

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	1376
1	50	1334
2	136	1334
3	545	1334
4	3041	1334
5	3131	1334
6	3468	1334
7	3841	1334
8	4319	1334
9	4435	1334
10	5641	1334

prune25.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

0.0b

Counts

48 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))
	25.2b	(fma.f64 y x (*.f64 a b))
▶	16.4b	(fma.f64 t z (*.f64 a b))

Compiler

Compiled 670 to 156 computations (76.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 t z (*.f64 a b))

series9.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

9.0ms

(fma.f64 t z (*.f64 a b))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 t z (*.f64 a b))

simplify114.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64`
527×	`fma-def_binary64`
502×	`unswap-sqr_binary64`
500×	`distribute-rgt-in_binary64`
485×	`associate-+l+_binary64`

Counts

58 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	460
1	23	443
2	47	443
3	128	443
4	401	443
5	1504	443
6	2934	443
7	3199	443
8	3454	443
9	3982	443
10	4805	443
11	4988	443
12	4867	443

prune9.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))
▶	25.2b	(fma.f64 y x (*.f64 a b))
✓	16.4b	(fma.f64 t z (*.f64 a b))

Compiler

Compiled 269 to 81 computations (69.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 a b))

series8.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

8.0ms

(fma.f64 y x (*.f64 a b))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y x (*.f64 a b))

simplify119.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64`
527×	`fma-def_binary64`
502×	`unswap-sqr_binary64`
500×	`distribute-rgt-in_binary64`
485×	`associate-+l+_binary64`

Counts

58 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	460
1	23	443
2	47	443
3	128	443
4	401	443
5	1504	443
6	2934	443
7	3199	443
8	3454	443
9	3982	443
10	4805	443
11	4988	443
12	4867	443

prune9.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))
✓	25.2b	(fma.f64 y x (*.f64 a b))
✓	16.4b	(fma.f64 t z (*.f64 a b))

Compiler

Compiled 257 to 73 computations (71.6% saved)

regimes195.0ms (4.8%)

Accuracy

Total 0.0b remaining (53.4%)

Threshold costs 0.0b (53.4%)

Counts

15 → 1

Compiler

Compiled 2551 to 1779 computations (30.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	11	12
2	11	12

end92.0ms (2.2%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 159 to 97 computations (39% saved)

Details

analyze1.6s (38.6%)

sample1.7s (42.6%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series28.0ms (0.7%)

rewrite1.0ms (0%)

simplify132.0ms (3.2%)

prune25.0ms (0.6%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite1.0ms (0%)

simplify114.0ms (2.8%)

prune9.0ms (0.2%)

localize6.0ms (0.1%)

series8.0ms (0.2%)

rewrite1.0ms (0%)

simplify119.0ms (2.9%)

prune9.0ms (0.2%)

regimes195.0ms (4.8%)

simplify2.0ms (0%)

end92.0ms (2.2%)

Profiling