Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.6%	50.4%	0
49.6%	0%	50.4%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.2s (88.6%)

Results

2.9s	4370×	body	2048	valid
805.0ms	2029×	body	1024	valid
294.0ms	1089×	body	512	valid
108.0ms	534×	body	256	valid
31.0ms	234×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	9	6
2	13	6
3	19	6
4	26	6
5	36	6
6	44	6
7	53	6
8	56	6
9	39	6

prune1.0ms (0%)

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

30.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	30.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 15 to 12 computations (20% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(-.f64 1 (cos.f64 x))

series2.0ms (0%)

Counts

1 → 4

Calls

1 calls:

2.0ms

(-.f64 1 (cos.f64 x))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
3×	`cancel-sign-sub-inv_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(-.f64 1 (cos.f64 x))

simplify95.0ms (2%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
792×	`fma-def_binary64`
476×	`unsub-neg_binary64`
319×	`cancel-sign-sub-inv_binary64`
265×	`*-commutative_binary64`

Counts

35 → 43

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	434
1	152	378
2	411	331
3	1316	331
4	3243	331
5	4306	331
6	4860	331
7	4996	331
8	4792	331

prune35.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	1	44

Error

0.0b

Counts

44 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))

Compiler

Compiled 653 to 328 computations (49.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (cos.f64 x))
✓	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))

series14.0ms (0.3%)

Counts

2 → 16

Calls

2 calls:

12.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
2.0ms	(+.f64 1 (cos.f64 x))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

8.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
3.0ms	(+.f64 1 (cos.f64 x))

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

995×	`fma-neg_binary64`
410×	`cancel-sign-sub-inv_binary64`
266×	`times-frac_binary64`
243×	`div-sub_binary64`
209×	`associate-/l*_binary64`

Counts

62 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	945
1	255	761
2	714	751
3	2274	751
4	4359	751
5	5030	751

prune46.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Error

Counts

81 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
▶	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 1281 to 669 computations (47.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

series9.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

9.0ms

(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 21

Calls

1 calls:

4.0ms

(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-neg_binary64`
657×	`distribute-rgt-neg-in_binary64`
651×	`cancel-sign-sub-inv_binary64`
509×	`distribute-lft-neg-in_binary64`
348×	`neg-mul-1_binary64`

Counts

33 → 32

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	562
1	132	512
2	332	510
3	709	510
4	1612	510
5	3534	510
6	4559	510
7	5035	510

prune17.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	0.0b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

Compiler

Compiled 447 to 292 computations (34.7% saved)

regimes73.0ms (1.6%)

Accuracy

Total 0.0b remaining (66.8%)

Threshold costs 0.0b (66.8%)

Counts

28 → 1

Compiler

Compiled 1014 to 815 computations (19.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	11	16
2	10	16

end43.0ms (0.9%)

Compiler: Compiled 41 to 27 computations (34.1% saved)

Details

analyze1.0ms (0%)

sample4.2s (88.6%)

simplify11.0ms (0.2%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series2.0ms (0%)

rewrite5.0ms (0.1%)

simplify95.0ms (2%)

prune35.0ms (0.7%)

localize6.0ms (0.1%)

series14.0ms (0.3%)

rewrite13.0ms (0.3%)

simplify69.0ms (1.5%)

prune46.0ms (1%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify80.0ms (1.7%)

prune17.0ms (0.4%)

regimes73.0ms (1.6%)

simplify2.0ms (0%)

end43.0ms (0.9%)

Profiling