Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.9s (73.3%)

Results

825.0ms	2084×	body	1024	valid
446.0ms	4430×	body	128	valid
287.0ms	1039×	body	512	valid
109.0ms	225×	body	2048	valid
89.0ms	478×	body	256	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

simplify63.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
358×	`fma-def_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	34	15
4	59	15
5	113	15
6	235	15
7	600	15
8	1504	15
9	2557	15
10	4582	15
11	4956	15
12	4701	15

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	28.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 36 to 33 computations (8.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series20.0ms (0.8%)

Counts

3 → 20

Calls

3 calls:

9.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
9.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`*-un-lft-identity_binary64`
75×	`add-sqr-sqrt_binary64`
64×	`add-cube-cbrt_binary64`
63×	`times-frac_binary64`
54×	`prod-diff_binary64`

Counts

3 → 149

Calls

3 calls:

10.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
4.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify122.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-neg_binary64`
409×	`cancel-sign-sub-inv_binary64`
312×	`distribute-rgt-in_binary64`
288×	`fma-def_binary64`
267×	`distribute-lft-in_binary64`

Counts

169 → 220

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	3241
1	339	3128
2	809	2722
3	2297	2604
4	4742	2603
5	4949	2603

prune151.0ms (5.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	2	221

Error

Counts

221 → 2

Alt Table

Status	Error	Program
▶	32.6b	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
✓	28.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 5012 to 4564 computations (8.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/15 (pow.f64 x 5) x)
✓	19.9b	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))

series9.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(fma.f64 2/15 (pow.f64 x 5) x)
4.0ms	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))

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 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
0.0ms	(fma.f64 2/15 (pow.f64 x 5) x)

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-l_binary64`
578×	`associate-r_binary64`
480×	`distribute-lft-in_binary64`
480×	`distribute-rgt-in_binary64`
291×	`fma-def_binary64`

Counts

44 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	584
1	65	520
2	153	518
3	599	518
4	3542	518
5	4943	518

prune18.0ms (0.7%)

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
✓	32.6b	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
✓	28.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 483 to 369 computations (23.6% saved)

regimes130.0ms (5.1%)

Accuracy

Total 0.3b remaining (96.6%)

Threshold costs 0.3b (96.6%)

Counts

8 → 3

Compiler

Compiled 661 to 549 computations (16.9% saved)

bsearch0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	32	63
2	33	63
3	31	63

end68.0ms (2.6%)

Compiler: Compiled 115 to 97 computations (15.7% saved)

Details

analyze1.0ms (0.1%)

sample1.9s (73.3%)

simplify63.0ms (2.5%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

series20.0ms (0.8%)

rewrite29.0ms (1.2%)

simplify122.0ms (4.8%)

prune151.0ms (5.9%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite1.0ms (0%)

simplify52.0ms (2%)

prune18.0ms (0.7%)

regimes130.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end68.0ms (2.6%)

Profiling