Details

analyze1.6s (35.5%)

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)

sample1.9s (41.8%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

Results

1.2s	8256×	body	128	valid
633.0ms	4236×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% saved)

simplify21.0ms (0.5%)

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)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series30.0ms (0.6%)

Counts

2 → 120

Calls

2 calls:

20.0ms	(fma.f64 a b (fma.f64 x y (*.f64 z t)))
9.0ms	(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 x y (*.f64 z t))
0.0ms	(fma.f64 a b (fma.f64 x y (*.f64 z t)))

simplify131.0ms (2.8%)

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	3027	1334
5	3117	1334
6	3454	1334
7	3827	1334
8	4305	1334
9	4421	1334
10	5641	1334

prune27.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Error

Counts

48 → 4

Alt Table

Status	Error	Program
	21.3b	(fma.f64 y x (*.f64 a b))
	22.0b	(fma.f64 t z (*.f64 a b))
▶	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))

Compiler

Compiled 712 to 177 computations (75.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series31.0ms (0.7%)

Counts

2 → 120

Calls

2 calls:

19.0ms	(fma.f64 a b (fma.f64 t z (*.f64 y x)))
12.0ms	(fma.f64 t z (*.f64 y x))

rewrite4.0ms (0.1%)

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:

3.0ms	(fma.f64 t z (*.f64 y x))
0.0ms	(fma.f64 a b (fma.f64 t z (*.f64 y x)))

simplify139.0ms (3%)

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 → 46

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	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

prune22.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Status	Error	Program
▶	21.3b	(fma.f64 y x (*.f64 a b))
	22.0b	(fma.f64 t z (*.f64 a b))
✓	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))

Compiler

Compiled 687 to 164 computations (76.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

9.0ms

(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))

simplify125.0ms (2.7%)

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

prune12.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	21	4	25

Error

Counts

25 → 4

Alt Table

Status	Error	Program
✓	21.3b	(fma.f64 y x (*.f64 a b))
▶	22.0b	(fma.f64 t z (*.f64 a b))
✓	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))

Compiler

Compiled 284 to 90 computations (68.3% 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))

simplify122.0ms (2.6%)

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

prune14.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	21	4	25

Error

Counts

25 → 4

Alt Table

Status	Error	Program
✓	21.3b	(fma.f64 y x (*.f64 a b))
✓	22.0b	(fma.f64 t z (*.f64 a b))
✓	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))
✓	0.0b	(fma.f64 a b (fma.f64 x y (*.f64 z t)))

Compiler

Compiled 272 to 82 computations (69.9% saved)

regimes219.0ms (4.7%)

Accuracy

Total 0.0b remaining (97.2%)

Threshold costs 0.0b (97.2%)

Counts

17 → 1

Compiler

Compiled 3026 to 2104 computations (30.5% 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

end101.0ms (2.2%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 174 to 106 computations (39.1% saved)

Details

analyze1.6s (35.5%)

sample1.9s (41.8%)

simplify21.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series30.0ms (0.6%)

rewrite1.0ms (0%)

simplify131.0ms (2.8%)

prune27.0ms (0.6%)

localize7.0ms (0.2%)

series31.0ms (0.7%)

rewrite4.0ms (0.1%)

simplify139.0ms (3%)

prune22.0ms (0.5%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite1.0ms (0%)

simplify125.0ms (2.7%)

prune12.0ms (0.2%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite1.0ms (0%)

simplify122.0ms (2.6%)

prune14.0ms (0.3%)

regimes219.0ms (4.7%)

simplify2.0ms (0%)

end101.0ms (2.2%)

Profiling