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)

sample5.3s (65.1%)

Results

2.4s	4010×	body	1024	valid
2.2s	2079×	body	2048	valid
502.0ms	1388×	body	512	valid
130.0ms	514×	body	256	valid
38.0ms	260×	body	128	valid
16.0ms	5×	body	4096	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

40.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	40.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	1.9b	(cos.f64 (+.f64 x eps))

series12.0ms (0.1%)

Counts

2 → 48

Calls

2 calls:

8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	(cos.f64 (+.f64 x eps))

rewrite10.0ms (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))
3.0ms	(cos.f64 (+.f64 x eps))

simplify80.0ms (1%)

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

prune71.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Error

0.2b

Counts

93 → 7

Alt Table

Status	Error	Program
▶	15.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
	31.1b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
	40.8b	(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
	25.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	40.9b	(/.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)))
	25.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 1797 to 616 computations (65.7% 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)))
✓	1.9b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series37.0ms (0.5%)

Counts

4 → 96

Calls

4 calls:

16.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
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))
3.0ms	(+.f64 x (+.f64 eps x))

rewrite29.0ms (0.4%)

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:

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

simplify144.0ms (1.8%)

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

prune211.0ms (2.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	155	9	164
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	157	14	171

Error

0.2b

Counts

171 → 14

Alt Table

Status	Error	Program
	37.9b	(.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)))))
	31.1b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
	32.2b	(cbrt.f64 (.f64 (.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) (.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))) (.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	39.4b	(.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))))))
	40.3b	(log.f64 (exp.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	40.9b	(/.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)))
	24.4b	(.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))))))
	32.0b	(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 x x -2)) (.f64 (.f64 (cos.f64 (*.f64 1/2 eps)) x) -2)))
	50.5b	(.f64 (sqrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	24.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	25.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	17.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
	25.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 4297 to 2985 computations (30.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))
✓	0.6b	(pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)
✓	1.9b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
✓	6.6b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))

series47.0ms (0.6%)

Counts

4 → 96

Calls

4 calls:

24.0ms	(pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)
11.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))
8.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))
4.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 93

Calls

4 calls:

9.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))
2.0ms	(pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)
2.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))
2.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

simplify140.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
512×	`cancel-sign-sub-inv_binary64`
445×	`fma-neg_binary64`
332×	`unswap-sqr_binary64`
258×	`associate-r_binary64`

Counts

189 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	3803
1	530	3525
2	1868	3435
3	4126	3425
4	4843	3425
5	4994	3425

prune171.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	155	14	169

Error

0.2b

Counts

169 → 14

Alt Table

Status	Error	Program
▶	17.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))))
	37.9b	(.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)))))
	31.1b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
	40.3b	(log.f64 (exp.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	40.9b	(/.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)))
	24.4b	(.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))))))
	32.0b	(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 x x -2)) (.f64 (.f64 (cos.f64 (*.f64 1/2 eps)) x) -2)))
	50.5b	(.f64 (sqrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	24.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	39.4b	(.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))))))
	25.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	38.0b	(.f64 -2 (.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3))))
	25.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 4843 to 3793 computations (21.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))))
	0.6b	(pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)
	1.9b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
	6.6b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))

series13.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))))

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 → 20

Calls

1 calls:

3.0ms

(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3)))))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
369×	`distribute-lft-neg-in_binary64`
368×	`sub-neg_binary64`
329×	`unswap-sqr_binary64`

Counts

44 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	1054
1	207	963
2	587	937
3	1728	911
4	4070	909
5	5129	909

prune158.0ms (1.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	137	14	151

Error

0.2b

Counts

151 → 14

Alt Table

Status	Error	Program
	32.0b	(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 x x -2)) (.f64 (.f64 (cos.f64 (*.f64 1/2 eps)) x) -2)))
	32.3b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3)))
✓	17.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))))
	37.9b	(.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)))))
	31.1b	(fma.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)))
	38.0b	(.f64 -2 (.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3))))
	15.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))))
	40.9b	(/.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)))
	24.4b	(.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))))))
	50.5b	(.f64 (sqrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	39.4b	(.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))))))
	25.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	25.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 4231 to 3363 computations (20.5% saved)

regimes1.2s (14.2%)

Accuracy

Total 0.3b remaining (58%)

Threshold costs 0.3b (58%)

Counts

177 → 3

Compiler

Compiled 10566 to 7773 computations (26.4% saved)

bsearch119.0ms (1.5%)

Steps

Iters	Range		Point
10	2.0437847117239206e-10	82326747.09153147	0.00013931906783766504
9	-3.482882351996019	-7.196495540419795e-7	-0.00016442173469881995

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	81
1	35	81
2	43	81
3	47	81
4	49	81
5	49	81

end290.0ms (3.6%)

Compiler: Compiled 428 to 289 computations (32.5% 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%)

sample5.3s (65.1%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series12.0ms (0.1%)

rewrite10.0ms (0.1%)

simplify80.0ms (1%)

prune71.0ms (0.9%)

localize11.0ms (0.1%)

series37.0ms (0.5%)

rewrite29.0ms (0.4%)

simplify144.0ms (1.8%)

prune211.0ms (2.6%)

localize13.0ms (0.2%)

series47.0ms (0.6%)

rewrite19.0ms (0.2%)

simplify140.0ms (1.7%)

prune171.0ms (2.1%)

localize16.0ms (0.2%)

series13.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify68.0ms (0.8%)

prune158.0ms (1.9%)

regimes1.2s (14.2%)

bsearch119.0ms (1.5%)

simplify4.0ms (0%)

end290.0ms (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