Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.7s (80.5%)

Results

2.4s	2224×	body	2048	valid
570.0ms	1076×	body	1024	valid
443.0ms	4230×	body	128	valid
141.0ms	493×	body	512	valid
45.0ms	233×	body	256	valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify111.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

819×	`div-sub_binary64`
801×	`associate-/l*_binary64`
624×	`fma-def_binary64`
581×	`fma-neg_binary64`
548×	`unswap-sqr_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	35	13
3	57	13
4	112	13
5	223	13
6	481	13
7	890	13
8	1570	13
9	4778	13
10	5815	13

prune3.0ms (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

15.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.1b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 x) 2)
✓	1.8b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series7.0ms (0.2%)

Counts

2 → 16

Calls

2 calls:

4.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
3.0ms	(-.f64 (exp.f64 x) 2)

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-+l+_binary64`

Counts

2 → 69

Calls

2 calls:

12.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

simplify147.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-neg_binary64`
326×	`fma-def_binary64`
296×	`distribute-rgt-in_binary64`
282×	`distribute-lft-in_binary64`
268×	`distribute-rgt-out_binary64`

Counts

85 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1174
1	295	959
2	717	942
3	2801	932
4	4435	932
5	4838	932

prune147.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Error

0.0b

Counts

115 → 2

Alt Table

Status	Error	Program
▶	6.6b	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
✓	15.1b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 2053 to 1164 computations (43.3% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
✓	0.1b	(*.f64 1/360 (pow.f64 x 6))

series12.0ms (0.3%)

Counts

2 → 12

Calls

2 calls:

6.0ms	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`add-exp-log_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`

Counts

2 → 37

Calls

2 calls:

4.0ms	(*.f64 1/360 (pow.f64 x 6))
0.0ms	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))

simplify143.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

562×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
385×	`fma-def_binary64`
384×	`unswap-sqr_binary64`
350×	`log-prod_binary64`

Counts

49 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	702
1	135	653
2	330	621
3	1413	621
4	4726	621
5	5066	621

prune66.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Error

0.0b

Counts

56 → 2

Alt Table

Status	Error	Program
✓	6.6b	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
✓	15.1b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 982 to 726 computations (26.1% saved)

regimes59.0ms (1.3%)

Accuracy

Total 0.0b remaining (48.5%)

Threshold costs 0.0b (48.5%)

Counts

11 → 2

Compiler

Compiled 210 to 158 computations (24.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	35	53
2	38	53
3	39	53
4	38	53

end145.0ms (3.1%)

Compiler: Compiled 93 to 67 computations (28% saved)

Details

analyze1.0ms (0%)

sample3.7s (80.5%)

simplify111.0ms (2.4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series7.0ms (0.2%)

rewrite21.0ms (0.5%)

simplify147.0ms (3.2%)

prune147.0ms (3.2%)

localize14.0ms (0.3%)

series12.0ms (0.3%)

rewrite6.0ms (0.1%)

simplify143.0ms (3.1%)

prune66.0ms (1.4%)

regimes59.0ms (1.3%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end145.0ms (3.1%)

Profiling