Details

analyze8.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.8s (55.5%)

Infinites

32.6% of outputs are infinite.

Symmetry

(sort x y)

(sort z t)

(sort a b)

Results

1.6s

8256×

body

128

valid

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify140.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1251×	`fma-neg_binary64`
530×	`fma-def_binary64`
258×	`cancel-sign-sub-inv_binary64`
148×	`distribute-rgt-in_binary64`
135×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	23
1	34	23
2	77	22
3	156	21
4	332	19
5	674	19
6	959	19
7	1365	19
8	1815	19
9	1835	19
10	1845	19
11	1846	19
12	1846	19
13	2162	19
14	2166	19
15	2166	19
16	2055	19

prune4.0ms (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

0.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

Compiler

Compiled 80 to 51 computations (36.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 a b) -1/4 c)
✓	0.5b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

series42.0ms (1.3%)

Counts

2 → 120

Calls

2 calls:

33.0ms	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
9.0ms	(fma.f64 (*.f64 a b) -1/4 c)

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 (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
0.0ms	(fma.f64 (*.f64 a b) -1/4 c)

simplify144.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

384×	`distribute-lft-in_binary64`
384×	`distribute-rgt-in_binary64`
363×	`fma-def_binary64`
307×	`associate-l_binary64`
285×	`associate-r_binary64`

Counts

140 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	2333
1	97	2083
2	201	1949
3	636	1949
4	2770	1949
5	4702	1949
6	5046	1949

prune72.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

48 → 2

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
▶	15.7b	(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))

Compiler

Compiled 867 to 422 computations (51.3% saved)

localize17.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))

series29.0ms (0.9%)

Counts

1 → 60

Calls

1 calls:

29.0ms

(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))

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:

1.0ms

(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))

simplify107.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

422×	`distribute-lft-in_binary64`
422×	`distribute-rgt-in_binary64`
369×	`distribute-lft-neg-out_binary64`
366×	`distribute-rgt-neg-out_binary64`
319×	`associate-l_binary64`

Counts

70 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	894
1	53	777
2	98	773
3	396	773
4	2319	773
5	4991	773
6	4951	773

prune40.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
✓	15.7b	(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))

Compiler

Compiled 406 to 182 computations (55.2% saved)

regimes697.0ms (21.7%)

Accuracy

Total 0.5b remaining (68.4%)

Threshold costs 0.5b (68.4%)

Counts

26 → 1

Compiler

Compiled 7681 to 5673 computations (26.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	16	19
2	16	19

end115.0ms (3.6%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 205 to 137 computations (33.2% saved)

Details

analyze8.0ms (0.2%)

sample1.8s (55.5%)

simplify140.0ms (4.3%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

series42.0ms (1.3%)

rewrite1.0ms (0%)

simplify144.0ms (4.5%)

prune72.0ms (2.2%)

localize17.0ms (0.5%)

series29.0ms (0.9%)

rewrite1.0ms (0%)

simplify107.0ms (3.3%)

prune40.0ms (1.2%)

regimes697.0ms (21.7%)

simplify2.0ms (0.1%)

end115.0ms (3.6%)

Profiling