Details

analyze2.7s (22.3%)

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 32 to 18 computations (43.8% saved)

sample186.0ms (1.5%)

Algorithm

1×

intervals

Results

100.0ms	76×	body	1024	valid
31.0ms	126×	body	128	valid
29.0ms	33×	body	512	valid
10.0ms	20×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 66 to 38 computations (42.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
11×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	30	44
2	50	44
3	56	44
4	56	44

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 118 to 51 computations (56.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 ew (sin.f64 t))
✓	0.2b	(*.f64 eh (cos.f64 t))
✓	2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
✓	34.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series106.0ms (0.9%)

Counts

4 → 120

Calls

4 calls:

73.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
18.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
8.0ms	(*.f64 ew (sin.f64 t))
7.0ms	(*.f64 eh (cos.f64 t))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

4 → 123

Calls

4 calls:

5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(*.f64 ew (sin.f64 t))
3.0ms	(*.f64 eh (cos.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify163.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-neg_binary64`
478×	`associate-/r*_binary64`
383×	`*-commutative_binary64`
297×	`associate-*l/_binary64`
269×	`fma-def_binary64`

Counts

243 → 184

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	279	3500
1	632	3355
2	1948	3333
3	4030	3333
4	4794	3333
5	4985	3329
6	4974	3329

prune201.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	281	10	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	282	10	292

Error

0.1b

Counts

292 → 10

Alt Table

Status	Error	Program
	34.8b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.5b	(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	0.4b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	31.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (sqrt.f64 eh) (.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 eh (cos.f64 t))) (cbrt.f64 (.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	28.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 11083 to 2352 computations (78.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))
✓	0.3b	(cbrt.f64 (cos.f64 t))
	2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
	34.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series415.0ms (3.4%)

Counts

2 → 24

Calls

2 calls:

236.0ms	(*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))
178.0ms	(cbrt.f64 (cos.f64 t))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`

Counts

2 → 55

Calls

2 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))
1.0ms	(cbrt.f64 (cos.f64 t))

simplify124.0ms (1%)

Algorithm

1×	egg-herbie

Rules

731×	`log-prod_binary64`
499×	`unswap-sqr_binary64`
478×	`fma-def_binary64`
432×	`cancel-sign-sub-inv_binary64`
389×	`distribute-rgt-neg-in_binary64`

Counts

79 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	82	826
1	170	744
2	479	706
3	1310	684
4	3373	564
5	4171	564
6	4644	564
7	4991	564
8	4891	564

prune1.0s (8.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	357	6	363
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	359	14	373

Error

0.0b

Counts

373 → 14

Alt Table

Status	Error	Program
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.4b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t))))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) (cbrt.f64 (cbrt.f64 (cos.f64 t)))))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	31.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (sqrt.f64 eh) (.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.4b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 eh (cos.f64 t))) (cbrt.f64 (.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	0.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	34.8b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 5) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.5b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) (cbrt.f64 (cbrt.f64 (cos.f64 t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 4))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.5b	(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.5b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (.f64 (cbrt.f64 (cos.f64 t)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) (cbrt.f64 (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cbrt.f64 (cos.f64 t)))))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 17006 to 3282 computations (80.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cos.f64 t) 2)
	0.3b	(cbrt.f64 (cos.f64 t))
	2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
	34.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series5.0ms (0%)

Counts

1 → 4

Calls

1 calls:

5.0ms

(pow.f64 (cos.f64 t) 2)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`pow-unpow_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`unpow-prod-down_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

2.0ms

(pow.f64 (cos.f64 t) 2)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-neg_binary64`
621×	`associate-l_binary64`
428×	`associate-r_binary64`
421×	`cube-prod_binary64`
404×	`log-prod_binary64`

Counts

24 → 30

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	235
1	96	192
2	211	192
3	604	189
4	2490	189
5	4325	189
6	4975	189

prune747.0ms (6.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	283	3	286
Fresh	5	8	13
Picked	0	1	1
Done	0	0	0
Total	288	12	300

Error

0.0b

Counts

300 → 12

Alt Table

Status	Error	Program
	34.8b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.3b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 t) 2))) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (pow.f64 (cos.f64 t) 1/3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 eh (cos.f64 t))) (cbrt.f64 (.f64 eh (cos.f64 t)))) (cbrt.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	0.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.5b	(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	0.3b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	31.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (sqrt.f64 eh) (.f64 (sqrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 13293 to 4284 computations (67.8% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t))))
	0.3b	(cbrt.f64 (cos.f64 t))
	2.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
	34.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series262.0ms (2.1%)

Counts

1 → 12

Calls

1 calls:

261.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t))))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`cbrt-prod_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t))))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

487×	`distribute-rgt-out--_binary64`
408×	`distribute-rgt-neg-in_binary64`
373×	`distribute-rgt-out_binary64`
365×	`unsub-neg_binary64`
352×	`*-commutative_binary64`

Counts

23 → 20

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	296
1	81	296
2	168	294
3	466	292
4	1606	292
5	3365	292
6	4424	292
7	4982	292

prune640.0ms (5.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	321	1	322
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	323	11	334

Error

0.0b

Counts

334 → 11

Alt Table

Status	Error	Program
	34.8b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.3b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 t) 2))) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (pow.f64 (cos.f64 t) 1/3)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (cbrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.5b	(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	0.3b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	17.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (*.f64 (pow.f64 (pow.f64 (cos.f64 t) 2) 1/9) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	0.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 17508 to 4703 computations (73.1% saved)

regimes385.0ms (3.1%)

Accuracy

Total 0.1b remaining (62.5%)

Threshold costs 0.1b (62.5%)

Counts

59 → 1

Compiler

Compiled 11536 to 6324 computations (45.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	22	48
2	22	48

end1.0ms (0%)

Compiler: Compiled 32 to 18 computations (43.8% saved)

sample5.0s (40.8%)

Algorithm

1×

intervals

Results

2.5s	2059×	body	1024	valid
999.0ms	4437×	body	128	valid
711.0ms	978×	body	512	valid
242.0ms	522×	body	256	valid
9.0ms	4×	body	2048	valid

Compiler

Compiled 499 to 274 computations (45.1% saved)

Details

analyze2.7s (22.3%)

sample186.0ms (1.5%)

simplify8.0ms (0.1%)

prune6.0ms (0%)

localize19.0ms (0.2%)

series106.0ms (0.9%)

rewrite19.0ms (0.2%)

simplify163.0ms (1.3%)

prune201.0ms (1.6%)

localize24.0ms (0.2%)

series415.0ms (3.4%)

rewrite11.0ms (0.1%)

simplify124.0ms (1%)

prune1.0s (8.1%)

localize25.0ms (0.2%)

series5.0ms (0%)

rewrite2.0ms (0%)

simplify66.0ms (0.5%)

prune747.0ms (6.1%)

localize31.0ms (0.3%)

series262.0ms (2.1%)

rewrite3.0ms (0%)

simplify84.0ms (0.7%)

prune640.0ms (5.2%)

regimes385.0ms (3.1%)

simplify3.0ms (0%)

end1.0ms (0%)

sample5.0s (40.8%)

Profiling