Details

analyze24.0ms (0.3%)

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)

sample141.0ms (1.9%)

Algorithm

1×

intervals

Results

71.0ms	135×	body	1024	valid
49.0ms	60×	body	2048	valid
8.0ms	39×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

42.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	42.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.2b	(cos.f64 (+.f64 x eps))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.2b

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`cancel-sign-sub-inv_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 26

Calls

2 calls:

5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 375 to 99 computations (73.6% saved)

series73.0ms (1%)

Error

14.2b

Counts

2 → 24

Calls

2 calls:

16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
11.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 719 to 440 computations (38.8% saved)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

319×	`distribute-rgt-in_binary64`
299×	`sub-neg_binary64`
296×	`associate-+l-_binary64`
261×	`distribute-lft-in_binary64`
232×	`associate--l+_binary64`

Counts

50 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	854
1	273	829
2	635	789
3	1955	765
4	4830	765
5	4967	765

prune36.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	23	8	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	8	32

Error

0.3b

Counts

32 → 8

Alt Table

Status	Error	Program
	30.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.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)))
	42.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	42.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
	42.9b	(-.f64 (.f64 x (-.f64 (-.f64 (.f64 x 1/2) (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 x 1/2)))) (-.f64 1 (cos.f64 eps)))
	42.1b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
▶	15.7b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
	26.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	26.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))

Compiler

Compiled 753 to 365 computations (51.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))))
0.2b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
3.1b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

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

Counts

4 → 60

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))))
6.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
5.0ms	(+.f64 x (+.f64 eps x))

Compiler

Compiled 1335 to 818 computations (38.7% saved)

series113.0ms (1.5%)

Error

0.3b

Counts

4 → 48

Calls

4 calls:

28.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
26.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
16.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
16.0ms	(+.f64 x (+.f64 eps x))

Compiler

Compiled 1935 to 1517 computations (21.6% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

569×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
428×	`*-commutative_binary64`
417×	`cancel-sign-sub-inv_binary64`
354×	`sub-neg_binary64`

Counts

108 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2497
1	477	2201
2	1386	2096
3	2995	2067
4	5107	2067

prune74.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Error

0.3b

Counts

96 → 12

Alt Table

Status	Error	Program
▶	16.5b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	26.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	41.8b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
	30.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.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)))
	33.7b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))) 3)))
	42.1b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	39.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (exp.f64 (log.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))))
	25.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))))
	46.8b	(.f64 (sqrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (.f64 -2 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))))
	16.6b	(.f64 (.f64 (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))))
	33.4b	(.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 x x) -2)) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) 2)))
	26.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))

Compiler

Compiled 1993 to 1336 computations (33% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))
3.0b	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
3.0b	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
3.1b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

rewrite61.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

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

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
7.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
6.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))
6.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

Compiler

Compiled 1376 to 779 computations (43.4% saved)

series187.0ms (2.5%)

Error

0.3b

Counts

4 → 46

Calls

4 calls:

57.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))
21.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
21.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
21.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 4451 to 3179 computations (28.6% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

833×	`distribute-rgt-neg-in_binary64`
626×	`unswap-sqr_binary64`
509×	`associate-r_binary64`
478×	`associate-l_binary64`
284×	`cancel-sign-sub-inv_binary64`

Counts

78 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1674
1	282	1599
2	814	1473
3	2900	1473
4	5151	1473

prune50.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	46	12	58

Error

0.3b

Counts

58 → 12

Alt Table

Status	Error	Program
✓	16.5b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	26.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	41.8b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
	30.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.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)))
	33.7b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))) 3)))
	42.1b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	39.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (exp.f64 (log.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))))
	25.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))))
	46.8b	(.f64 (sqrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (.f64 -2 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))))
▶	16.6b	(.f64 (.f64 (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))))
	33.4b	(.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 x x) -2)) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) 2)))
	26.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))

Compiler

Compiled 2061 to 1328 computations (35.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
5.4b	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
5.4b	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
5.4b	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))

rewrite84.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

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

Counts

4 → 37

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
9.0ms	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
8.0ms	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
7.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 2259 to 1462 computations (35.3% saved)

series430.0ms (5.8%)

Error

0.3b

Counts

4 → 39

Calls

4 calls:

142.0ms	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
114.0ms	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
109.0ms	(cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))
27.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 5818 to 4398 computations (24.4% saved)

simplify229.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-neg-in_binary64`
624×	`distribute-lft-neg-in_binary64`
481×	`associate-r_binary64`
431×	`associate-l_binary64`
397×	`neg-mul-1_binary64`

Counts

76 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	2363
1	294	2338
2	775	2187
3	2687	2129
4	4883	2129
5	5206	2129

prune46.0ms (0.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	41	12	53

Error

0.3b

Counts

53 → 12

Alt Table

Status	Error	Program
	16.5b	(.f64 -2 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	26.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	41.8b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
	30.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.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)))
	33.7b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))) 3)))
	42.1b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	39.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (exp.f64 (log.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))))
	25.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))))
	46.8b	(.f64 (sqrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (.f64 -2 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))))
	16.6b	(.f64 (.f64 (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))))
	33.4b	(.f64 (sin.f64 (.f64 1/2 eps)) (-.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 x x) -2)) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) 2)))
	26.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))

Compiler

Compiled 1888 to 1323 computations (29.9% saved)

regimes1.1s (14.3%)

Accuracy

Total 0.5b remaining (69.7%)

Threshold costs 0.5b (69.7%)

Compiler

Compiled 10248 to 7241 computations (29.3% saved)

bsearch94.0ms (1.3%)

Steps

Iters	Range		Point
10	0.015237153821177815	10443055098.160757	0.01538693934337553
9	-2996542.77714031	-0.001394042734779424	-0.0015418687539800904

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	60
1	44	60
2	57	60
3	65	60
4	70	60
5	71	60
6	71	60

end2.0ms (0%)

Compiler: Compiled 40 to 28 computations (30% saved)

sample4.2s (57.2%)

Algorithm

1×

intervals

Results

1.7s	3948×	body	1024	valid
1.7s	1980×	body	2048	valid
279.0ms	1294×	body	512	valid
90.0ms	528×	body	256	valid
19.0ms	250×	body	128	valid

Compiler

Compiled 355 to 257 computations (27.6% saved)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Details

analyze24.0ms (0.3%)

sample141.0ms (1.9%)

simplify13.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite33.0ms (0.4%)

series73.0ms (1%)

simplify91.0ms (1.2%)

prune36.0ms (0.5%)

localize12.0ms (0.2%)

rewrite78.0ms (1%)

series113.0ms (1.5%)

simplify111.0ms (1.5%)

prune74.0ms (1%)

localize23.0ms (0.3%)

rewrite61.0ms (0.8%)

series187.0ms (2.5%)

simplify76.0ms (1%)

prune50.0ms (0.7%)

localize18.0ms (0.2%)

rewrite84.0ms (1.1%)

series430.0ms (5.8%)

simplify229.0ms (3.1%)

prune46.0ms (0.6%)

regimes1.1s (14.3%)

bsearch94.0ms (1.3%)

simplify5.0ms (0.1%)

end2.0ms (0%)

sample4.2s (57.2%)

Profiling

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11