Details

analyze16.0ms (0.8%)

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)

sample1.3s (62.2%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 65 to 38 computations (41.5% saved)

simplify103.0ms (4.9%)

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

2 alts after pruning (2 fresh and 0 done)

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

Error

32.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

Compiler

Compiled 80 to 44 computations (45% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.5b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
✓	31.7b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

series34.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

25.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
9.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
3.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

simplify91.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-l_binary64`
433×	`fma-def_binary64`
328×	`times-frac_binary64`
299×	`associate-/l*_binary64`
248×	`associate-/r*_binary64`

Counts

98 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2360
1	338	2193
2	1191	2164
3	4702	2164
4	4914	2164

prune67.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

0.2b

Counts

110 → 4

Alt Table

Status	Error	Program
	34.7b	(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 y y)) -1)
	32.3b	1
✓	32.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
▶	31.3b	-1

Compiler

Compiled 3252 to 1708 computations (47.5% 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

0.2b

Counts

4 → 4

Alt Table

Status	Error	Program
	34.7b	(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 y y)) -1)
▶	32.3b	1
✓	32.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
✓	31.3b	-1

Compiler

Compiled 54 to 37 computations (31.5% saved)

localize0.0ms (0%)

prune2.0ms (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

0.2b

Counts

4 → 4

Alt Table

Status	Error	Program
▶	34.7b	(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 y y)) -1)
✓	32.3b	1
✓	32.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
✓	31.3b	-1

Compiler

Compiled 51 to 34 computations (33.3% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.0b	(/.f64 (.f64 x x) (.f64 y y))

series33.0ms (1.6%)

Counts

1 → 24

Calls

1 calls:

33.0ms

(/.f64 (*.f64 x x) (*.f64 y y))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
4×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`
4×	`div-exp_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(/.f64 (*.f64 x x) (*.f64 y y))

simplify92.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
528×	`times-frac_binary64`
339×	`unswap-sqr_binary64`
327×	`associate-/l*_binary64`
288×	`*-commutative_binary64`

Counts

47 → 35

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	49	635
1	120	501
2	410	476
3	1765	453
4	2660	453
5	3835	363
6	4877	360
7	4953	360
8	4920	360

prune18.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	35	4	39

Error

0.2b

Counts

39 → 4

Alt Table

Status	Error	Program
✓	34.7b	(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 y y)) -1)
✓	32.3b	1
✓	32.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
✓	31.3b	-1

Compiler

Compiled 551 to 249 computations (54.8% saved)

regimes212.0ms (10.2%)

Accuracy

Total 14.1b remaining (97.3%)

Threshold costs 0b (0%)

Counts

11 → 4

Compiler

Compiled 934 to 638 computations (31.7% saved)

bsearch0.0ms (0%)

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

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	88
1	39	88
2	38	88

end74.0ms (3.5%)

Compiler: Compiled 165 to 108 computations (34.5% saved)

Details

analyze16.0ms (0.8%)

sample1.3s (62.2%)

simplify103.0ms (4.9%)

prune3.0ms (0.1%)

localize8.0ms (0.4%)

series34.0ms (1.6%)

rewrite15.0ms (0.7%)

simplify91.0ms (4.4%)

prune67.0ms (3.2%)

localize0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

series33.0ms (1.6%)

rewrite7.0ms (0.4%)

simplify92.0ms (4.4%)

prune18.0ms (0.9%)

regimes212.0ms (10.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end74.0ms (3.5%)

Profiling