Details

analyze1.9s (17.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.4s (49%)

Results

2.4s	3932×	body	1024	valid
2.3s	2144×	body	2048	valid
529.0ms	1436×	body	512	valid
131.0ms	523×	body	256	valid
38.0ms	220×	body	128	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 19 to 13 computations (31.6% 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

40.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	40.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.4b	(cos.f64 (+.f64 x eps))

series12.0ms (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:

6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.0ms	(cos.f64 (+.f64 x eps))

simplify84.0ms (0.8%)

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

prune82.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	10	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Error

0.2b

Counts

93 → 10

Alt Table

Status	Error	Program
	40.5b	(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
	26.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	26.9b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	40.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	40.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	28.9b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
▶	13.0b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
	26.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	28.8b	(+.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)))
	40.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))

Compiler

Compiled 1887 to 684 computations (63.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 eps x))
✓	0.0b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
✓	0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
✓	3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series46.0ms (0.4%)

Counts

4 → 96

Calls

4 calls:

19.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
14.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
9.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
3.0ms	(+.f64 x (+.f64 eps x))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 71

Calls

4 calls:

9.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
9.0ms	(.f64 -2 (.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 x (+.f64 eps x))

simplify738.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

549×	`fma-def_binary64`
428×	`*-commutative_binary64`
417×	`cancel-sign-sub-inv_binary64`
354×	`sub-neg_binary64`
330×	`distribute-rgt-neg-in_binary64`

Counts

167 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	3349
1	500	2908
2	1528	2564
3	3686	2549
4	4710	2549
5	4985	2549
6	4925	2549

prune187.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	155	9	164
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	159	15	174

Error

0.1b

Counts

174 → 15

Alt Table

Status	Error	Program
	13.0b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	28.4b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))))
	26.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	41.0b	(.f64 -2 (.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	40.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	13.7b	(.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))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	40.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	28.9b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
▶	13.0b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
	31.2b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))) 3)))
	26.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	13.7b	(.f64 (.f64 (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	26.9b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	15.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (.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))))))
	21.5b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))

Compiler

Compiled 4275 to 2981 computations (30.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (+.f64 eps x))
✓	0.0b	(*.f64 -2 (sin.f64 (/.f64 eps 2)))
✓	0.3b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
	3.4b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series22.0ms (0.2%)

Counts

2 → 36

Calls

2 calls:

19.0ms	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
3.0ms	(*.f64 -2 (sin.f64 (/.f64 eps 2)))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`

Counts

2 → 40

Calls

2 calls:

8.0ms	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
3.0ms	(*.f64 -2 (sin.f64 (/.f64 eps 2)))

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
544×	`fma-neg_binary64`
372×	`sub-neg_binary64`
348×	`*-commutative_binary64`
345×	`cancel-sign-sub-inv_binary64`

Counts

76 → 80

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1661
1	326	1442
2	934	1337
3	1783	1314
4	3732	1310
5	4333	1310
6	5063	1310

prune171.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	145	15	160

Error

0.1b

Counts

160 → 15

Alt Table

Status	Error	Program
	26.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	41.0b	(.f64 -2 (.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	40.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	13.0b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
	13.7b	(.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))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	13.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
	15.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (.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))))))
	28.9b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
	28.8b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (.f64 -2 (sin.f64 (/.f64 eps 2)))) (.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
	31.2b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))) 3)))
	26.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	13.7b	(.f64 (.f64 (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	26.9b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	28.3b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
	21.5b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))

Compiler

Compiled 3776 to 2614 computations (30.8% saved)

localize15.0ms (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)))
✓	0.3b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
✓	0.3b	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
✓	3.3b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

series40.0ms (0.4%)

Counts

4 → 96

Calls

4 calls:

16.0ms	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
14.0ms	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
5.0ms	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
5.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`

Counts

4 → 51

Calls

4 calls:

5.0ms	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (log1p.f64 (expm1.f64 (sin.f64 (/.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)))
0.0ms	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

702×	`sub-neg_binary64`
455×	`cancel-sign-sub-inv_binary64`
264×	`associate-r_binary64`
264×	`fma-neg_binary64`
261×	`associate--r+_binary64`

Counts

147 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	3074
1	562	2805
2	1928	2706
3	4580	2706
4	5322	2706

prune142.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	113	15	128

Error

0.1b

Counts

128 → 15

Alt Table

Status	Error	Program
	26.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	41.0b	(.f64 -2 (.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	40.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
✓	13.0b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
	13.7b	(.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))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	13.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
	15.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (.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))))))
	28.9b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
	28.8b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (.f64 -2 (sin.f64 (/.f64 eps 2)))) (.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
	31.2b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))) 3)))
	26.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	13.7b	(.f64 (.f64 (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	26.9b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	28.3b	(.f64 (.f64 -2 (sin.f64 (/.f64 eps 2))) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
	21.5b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))

Compiler

Compiled 3373 to 2560 computations (24.1% saved)

regimes1.4s (13%)

Accuracy

Total 0.3b remaining (55.4%)

Threshold costs 0.3b (55.4%)

Counts

179 → 3

Compiler

Compiled 11044 to 8184 computations (25.9% saved)

bsearch154.0ms (1.4%)

Steps

Iters	Range		Point
11	0.00014435173629862372	5.9080120746961924e+26	0.0022097332120465953
10	-90806574.1510191	-0.00030907536219588983	-0.003332934320693573

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-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	32	71
1	49	71
2	65	71
3	75	71
4	81	71
5	82	71
6	82	71

end287.0ms (2.6%)

Compiler: Compiled 460 to 337 computations (26.7% 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

analyze1.9s (17.3%)

sample5.4s (49%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series12.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify84.0ms (0.8%)

prune82.0ms (0.7%)

localize11.0ms (0.1%)

series46.0ms (0.4%)

rewrite31.0ms (0.3%)

simplify738.0ms (6.7%)

prune187.0ms (1.7%)

localize11.0ms (0.1%)

series22.0ms (0.2%)

rewrite14.0ms (0.1%)

simplify98.0ms (0.9%)

prune171.0ms (1.6%)

localize15.0ms (0.1%)

series40.0ms (0.4%)

rewrite9.0ms (0.1%)

simplify96.0ms (0.9%)

prune142.0ms (1.3%)

regimes1.4s (13%)

bsearch154.0ms (1.4%)

simplify5.0ms (0%)

end287.0ms (2.6%)

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