Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample98.0ms (9.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify85.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
366×	`fma-neg_binary64`
277×	`*-commutative_binary64`
262×	`exp-prod_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	20	13
3	27	13
4	46	13
5	78	13
6	146	13
7	274	13
8	670	13
9	1896	13
10	2692	13
11	3535	13
12	4713	13
13	4865	13
14	4794	13

prune2.0ms (0.2%)

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series17.0ms (1.7%)

Counts

2 → 16

Calls

2 calls:

12.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite11.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64`

Counts

2 → 57

Calls

2 calls:

5.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify74.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-neg_binary64`
684×	`fma-def_binary64`
548×	`associate-l_binary64`
292×	`times-frac_binary64`
257×	`distribute-rgt-in_binary64`

Counts

73 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1210
1	248	1114
2	549	1101
3	1241	1099
4	4205	1099
5	4980	1099

prune57.0ms (5.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	30.8b	(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1)))

Compiler

Compiled 1615 to 673 computations (58.3% saved)

localize9.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1))
✓	0.0b	(fma.f64 5/24 (pow.f64 x 4) 1)
✓	23.4b	(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1)))

series11.0ms (1.1%)

Counts

3 → 36

Calls

3 calls:

4.0ms	(fma.f64 5/24 (pow.f64 x 4) 1)
4.0ms	(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1)))
3.0ms	(fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1))

rewrite2.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
3×	`add-cbrt-cube_binary64`
3×	`add-exp-log_binary64`

Counts

3 → 30

Calls

3 calls:

0.0ms	(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1)))
0.0ms	(fma.f64 5/24 (pow.f64 x 4) 1)
0.0ms	(fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1))

simplify78.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
589×	`fma-neg_binary64`
462×	`unsub-neg_binary64`
419×	`exp-prod_binary64`
280×	`*-commutative_binary64`

Counts

66 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	1071
1	110	949
2	240	939
3	1069	939
4	2929	939
5	4552	939
6	4918	939

prune41.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Error

Counts

60 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	30.8b	(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 x (*.f64 x -1/2) (fma.f64 5/24 (pow.f64 x 4) 1)))

Compiler

Compiled 1192 to 927 computations (22.2% saved)

regimes49.0ms (4.7%)

Accuracy

Total 0.0b remaining (65.5%)

Threshold costs 0.0b (65.5%)

Counts

19 → 1

Compiler

Compiled 675 to 553 computations (18.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample487.0ms (47.3%)

Algorithm

1×

intervals

Results

283.0ms

8000×

body

128

valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

Details

analyze1.0ms (0.1%)

sample98.0ms (9.6%)

simplify85.0ms (8.3%)

prune2.0ms (0.2%)

localize5.0ms (0.5%)

series17.0ms (1.7%)

rewrite11.0ms (1.1%)

simplify74.0ms (7.2%)

prune57.0ms (5.6%)

localize9.0ms (0.9%)

series11.0ms (1.1%)

rewrite2.0ms (0.2%)

simplify78.0ms (7.6%)

prune41.0ms (3.9%)

regimes49.0ms (4.7%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample487.0ms (47.3%)

Profiling