Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.4s (58.4%)

Results

2.4s	3925×	body	1024	valid
2.2s	2123×	body	2048	valid
499.0ms	1357×	body	512	valid
149.0ms	578×	body	256	valid
43.0ms	273×	body	128	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11

prune2.0ms (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

39.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	39.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.5b	(cos.f64 (+.f64 x eps))

series11.0ms (0.1%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	(cos.f64 (+.f64 x eps))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 42

Calls

2 calls:

5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	(cos.f64 (+.f64 x eps))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-neg_binary64`
498×	`cancel-sign-sub-inv_binary64`
477×	`fma-def_binary64`
311×	`sub-neg_binary64`
244×	`distribute-rgt-in_binary64`

Counts

90 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1274
1	309	1207
2	965	1144
3	2373	1120
4	4522	1120
5	4838	1120

prune84.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Error

0.3b

Counts

93 → 9

Alt Table

Status	Error	Program
	48.5b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
	27.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.6b	(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	28.5b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))) (.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
	39.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
▶	12.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
	27.7b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	28.2b	(neg.f64 (fma.f64 eps (sin.f64 x) (.f64 1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))))

Compiler

Compiled 1869 to 660 computations (64.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 eps x))
✓	0.2b	(/.f64 (+.f64 x (+.f64 eps x)) 2)
✓	0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
✓	3.3b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series26.0ms (0.3%)

Counts

4 → 96

Calls

4 calls:

13.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
5.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
4.0ms	(/.f64 (+.f64 x (+.f64 eps x)) 2)
3.0ms	(+.f64 x (+.f64 eps x))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
15×	`distribute-lft-out_binary64`
15×	`times-frac_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
7.0ms	(/.f64 (+.f64 x (+.f64 eps x)) 2)
6.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
4.0ms	(+.f64 x (+.f64 eps x))

simplify126.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

552×	`distribute-rgt-neg-in_binary64`
429×	`associate-l_binary64`
424×	`fma-def_binary64`
415×	`associate-r_binary64`
296×	`cancel-sign-sub-inv_binary64`

Counts

185 → 176

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	2845
1	450	2546
2	1240	2209
3	3831	2207
4	4896	2207
5	4919	2207

prune212.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	166	10	176
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	172	13	185

Error

0.1b

Counts

185 → 13

Alt Table

Status	Error	Program
	12.9b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	23.7b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	27.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	22.0b	(.f64 -2 (.f64 (sqrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	32.7b	(.f64 -2 (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 eps 2))) (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	39.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	27.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))))
	28.5b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))) (.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
	12.7b	(.f64 -2 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	24.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	36.1b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
▶	11.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	27.7b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 4544 to 3100 computations (31.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
✓	0.2b	(/.f64 (fma.f64 x 2 eps) 2)
✓	0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
✓	3.3b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

series37.0ms (0.4%)

Counts

4 → 96

Calls

4 calls:

14.0ms	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
12.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
6.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
4.0ms	(/.f64 (fma.f64 x 2 eps) 2)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-cbrt-cube_binary64`

Counts

4 → 69

Calls

4 calls:

4.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
2.0ms	(/.f64 (fma.f64 x 2 eps) 2)
2.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
0.0ms	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

693×	`sub-neg_binary64`
475×	`cancel-sign-sub-inv_binary64`
261×	`associate--l+_binary64`
260×	`associate--r+_binary64`
238×	`associate-+l+_binary64`

Counts

165 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2994
1	590	2763
2	1890	2671
3	4516	2671
4	5332	2671

prune226.0ms (2.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	160	13	173

Error

0.1b

Counts

173 → 13

Alt Table

Status	Error	Program
▶	12.9b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	23.7b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	27.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	22.0b	(.f64 -2 (.f64 (sqrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	32.7b	(.f64 -2 (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 eps 2))) (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	39.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	27.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))))
	28.5b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))) (.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
	24.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	36.1b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
✓	11.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	27.7b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))))

Compiler

Compiled 4699 to 3626 computations (22.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
✓	0.6b	(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
	3.3b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
	3.3b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

series958.0ms (10.4%)

Counts

2 → 48

Calls

2 calls:

507.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
451.0ms	(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 26

Calls

2 calls:

4.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
1.0ms	(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-neg_binary64`
604×	`unswap-sqr_binary64`
378×	`fma-def_binary64`
360×	`*-commutative_binary64`
343×	`associate--l+_binary64`

Counts

74 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	135	1870
1	330	1862
2	1049	1718
3	2597	1656
4	4909	1632
5	5262	1632

prune268.0ms (2.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	189	14	203

Error

0.1b

Counts

203 → 14

Alt Table

Status	Error	Program
	27.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	22.0b	(.f64 -2 (.f64 (sqrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	32.7b	(.f64 -2 (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 eps 2))) (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	39.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	27.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))))
	28.5b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))) (.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
	12.9b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	39.7b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sin.f64 (/.f64 eps 2))) (pow.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) 1/3)))
	23.7b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	24.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	36.1b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
✓	11.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	27.7b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))))

Compiler

Compiled 8995 to 6486 computations (27.9% saved)

regimes1.1s (11.5%)

Accuracy

Total 0.3b remaining (56.8%)

Threshold costs 0.3b (56.8%)

Counts

187 → 3

Compiler

Compiled 12671 to 9355 computations (26.2% saved)

bsearch99.0ms (1.1%)

Steps

Iters	Range		Point
7	9.786068834256909e-5	0.011813726057459284	0.0035389504100430845
8	-34.319418618937	-0.0021999876382178484	-0.004004932165133894

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	94
1	49	94
2	65	94
3	75	94
4	81	94
5	82	94
6	82	94

end330.0ms (3.6%)

Compiler: Compiled 484 to 339 computations (30% saved)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11

Details

analyze1.0ms (0%)

sample5.4s (58.4%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series11.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify82.0ms (0.9%)

prune84.0ms (0.9%)

localize13.0ms (0.1%)

series26.0ms (0.3%)

rewrite28.0ms (0.3%)

simplify126.0ms (1.4%)

prune212.0ms (2.3%)

localize14.0ms (0.1%)

series37.0ms (0.4%)

rewrite10.0ms (0.1%)

simplify101.0ms (1.1%)

prune226.0ms (2.4%)

localize22.0ms (0.2%)

series958.0ms (10.4%)

rewrite6.0ms (0.1%)

simplify89.0ms (1%)

prune268.0ms (2.9%)

regimes1.1s (11.5%)

bsearch99.0ms (1.1%)

simplify5.0ms (0%)

end330.0ms (3.6%)

Profiling

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11