Details

analyze1.6s (30.3%)

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
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample3.1s (57.7%)

Symmetry

(sort x y)

(sort z t)

(sort a b)

Results

1.4s	2124×	body	8192	exit
1.3s	8256×	body	128	valid
307.0ms	2052×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (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)

localize10.0ms (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:

21.0ms	(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)))

simplify130.0ms (2.4%)

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

prune26.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Error

Counts

48 → 2

Alt Table

Status	Error	Program
	19.9b	(fma.f64 t z (*.f64 a b))
▶	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))

Compiler

Compiled 673 to 152 computations (77.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series19.0ms (0.3%)

Counts

1 → 72

Calls

1 calls:

19.0ms

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

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

simplify104.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

856×	`distribute-lft-in_binary64`
856×	`distribute-rgt-in_binary64`
738×	`unswap-sqr_binary64`
622×	`distribute-rgt-out_binary64`
293×	`fma-def_binary64`

Counts

82 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	916
1	40	891
2	108	891
3	458	891
4	2769	891
5	2858	891
6	3195	891
7	3568	891
8	4046	891
9	4162	891
10	5253	891

prune13.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Alt Table

Status	Error	Program
▶	19.9b	(fma.f64 t z (*.f64 a b))
✓	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))

Compiler

Compiled 392 to 82 computations (79.1% saved)

localize7.0ms (0.1%)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	19.9b	(fma.f64 t z (*.f64 a b))
✓	0.0b	(fma.f64 a b (fma.f64 t z (*.f64 y x)))

Compiler

Compiled 27 to 17 computations (37% saved)

regimes200.0ms (3.7%)

Accuracy

Total 0.0b remaining (15.9%)

Threshold costs 0.0b (15.9%)

Counts

14 → 1

Compiler

Compiled 2485 to 1711 computations (31.1% saved)

simplify4.0ms (0.1%)

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

end82.0ms (1.5%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 147 to 89 computations (39.5% saved)

Details

analyze1.6s (30.3%)

sample3.1s (57.7%)

simplify7.0ms (0.1%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series30.0ms (0.6%)

rewrite1.0ms (0%)

simplify130.0ms (2.4%)

prune26.0ms (0.5%)

localize7.0ms (0.1%)

series19.0ms (0.3%)

rewrite1.0ms (0%)

simplify104.0ms (1.9%)

prune13.0ms (0.2%)

localize7.0ms (0.1%)

prune1.0ms (0%)

regimes200.0ms (3.7%)

simplify4.0ms (0.1%)

end82.0ms (1.5%)

Profiling