Details

analyze16.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 22 to 13 computations (40.9% saved)

sample1.1s (44.3%)

Results

911.0ms

8256×

body

128

valid

Compiler

Compiled 65 to 38 computations (41.5% saved)

simplify103.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
549×	`sub-neg_binary64`
460×	`distribute-neg-frac_binary64`
455×	`cancel-sign-sub-inv_binary64`
430×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	23	24
2	52	24
3	105	24
4	199	24
5	330	24
6	442	24
7	603	24
8	901	24
9	2304	24
10	3386	24
11	3956	24
12	4454	24
13	4735	24
14	5238	24

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

34.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	34.3b	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))

Compiler

Compiled 76 to 42 computations (44.7% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x (.f64 y (.f64 y 4)))
✓	4.2b	(fma.f64 -4 (.f64 y y) (.f64 x x))
✓	33.6b	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))

series35.0ms (1.5%)

Counts

3 → 72

Calls

3 calls:

20.0ms	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))
8.0ms	(fma.f64 -4 (.f64 y y) (.f64 x x))
8.0ms	(fma.f64 x x (.f64 y (.f64 y 4)))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 49

Calls

3 calls:

2.0ms	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))
0.0ms	(fma.f64 -4 (.f64 y y) (.f64 x x))
0.0ms	(fma.f64 x x (.f64 y (.f64 y 4)))

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-def_binary64`
500×	`div-sub_binary64`
426×	`fma-neg_binary64`
356×	`cancel-sign-sub-inv_binary64`
223×	`distribute-rgt-in_binary64`

Counts

121 → 111

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	2496
1	221	2296
2	581	2284
3	2083	2266
4	4490	2230
5	5508	2230

prune62.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	4	112

Error

0.3b

Counts

112 → 4

Alt Table

Status	Error	Program
	34.9b	(/.f64 (.f64 (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)))) (/.f64 (fma.f64 x x (.f64 y (.f64 y 4))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (*.f64 x x)))))
▶	31.1b	-1
✓	34.3b	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))
	32.6b	1

Compiler

Compiled 2953 to 1415 computations (52.1% saved)

localize0.0ms (0%)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.3b

Counts

4 → 4

Alt Table

Status	Error	Program
	34.9b	(/.f64 (.f64 (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)))) (/.f64 (fma.f64 x x (.f64 y (.f64 y 4))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (*.f64 x x)))))
✓	31.1b	-1
✓	34.3b	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))
▶	32.6b	1

Compiler

Compiled 108 to 60 computations (44.4% saved)

localize0.0ms (0%)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.3b

Counts

4 → 4

Alt Table

Status	Error	Program
▶	34.9b	(/.f64 (.f64 (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)))) (/.f64 (fma.f64 x x (.f64 y (.f64 y 4))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (*.f64 x x)))))
✓	31.1b	-1
✓	34.3b	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))
✓	32.6b	1

Compiler

Compiled 105 to 57 computations (45.7% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.2b	(fma.f64 -4 (.f64 y y) (.f64 x x))
✓	16.2b	(/.f64 (fma.f64 x x (.f64 y (.f64 y 4))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x))))
✓	16.5b	(/.f64 (.f64 (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)))) (/.f64 (fma.f64 x x (.f64 y (.f64 y 4))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (*.f64 x x)))))
✓	32.9b	(cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)))

series130.0ms (5.4%)

Counts

3 → 72

Calls

3 calls:

71.0ms

(/.f64 (fma.f64 x x (*.f64 y (*.f64 y 4))) (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x))))

36.0ms

(cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x)))

24.0ms

(/.f64 (*.f64 (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 y (*.f64 y 4))) (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x)))))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
45×	`add-cube-cbrt_binary64`
33×	`cbrt-prod_binary64`

Counts

3 → 120

Calls

3 calls:

6.0ms

(/.f64 (*.f64 (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 y (*.f64 y 4))) (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x)))))

2.0ms

(/.f64 (fma.f64 x x (*.f64 y (*.f64 y 4))) (cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x))))

1.0ms

(cbrt.f64 (fma.f64 -4 (*.f64 y y) (*.f64 x x)))

simplify204.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-def_binary64`
242×	`cancel-sign-sub-inv_binary64`
199×	`fma-neg_binary64`
172×	`unswap-sqr_binary64`
171×	`*-commutative_binary64`

Counts

192 → 287

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	9816
1	962	8543
2	3062	8385
3	4918	8385
4	4980	8385

prune400.0ms (16.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	469	4	473

Error

0.3b

Counts

473 → 4

Alt Table

Status	Error	Program
✓	34.9b	(/.f64 (.f64 (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)))) (/.f64 (fma.f64 x x (.f64 y (.f64 y 4))) (cbrt.f64 (fma.f64 -4 (.f64 y y) (*.f64 x x)))))
✓	31.1b	-1
✓	34.3b	(/.f64 (fma.f64 -4 (.f64 y y) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y 4))))
✓	32.6b	1

Compiler

Compiled 24775 to 13124 computations (47% saved)

regimes128.0ms (5.3%)

Accuracy

Total 12.3b remaining (97.1%)

Threshold costs 0b (0%)

Counts

7 → 5

Compiler

Compiled 792 to 490 computations (38.1% saved)

bsearch0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	114
1	45	114
2	51	114
3	57	114
4	62	114
5	65	114
6	66	114
7	64	114

end94.0ms (3.9%)

Compiler: Compiled 227 to 143 computations (37% saved)

Details

analyze16.0ms (0.7%)

sample1.1s (44.3%)

simplify103.0ms (4.3%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

series35.0ms (1.5%)

rewrite5.0ms (0.2%)

simplify88.0ms (3.7%)

prune62.0ms (2.6%)

localize0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

prune3.0ms (0.1%)

localize16.0ms (0.7%)

series130.0ms (5.4%)

rewrite28.0ms (1.2%)

simplify204.0ms (8.5%)

prune400.0ms (16.7%)

regimes128.0ms (5.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end94.0ms (3.9%)

Profiling