Details

analyze4.2s (27.4%)

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 32 to 18 computations (43.8% saved)

sample5.8s (38.4%)

Results

3.0s	2042×	body	1024	valid
1.5s	4651×	body	128	valid
900.0ms	1000×	body	512	valid
330.0ms	554×	body	256	valid
30.0ms	9×	body	2048	valid

Compiler

Compiled 95 to 53 computations (44.2% 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

prune4.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(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)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 eh (cos.f64 t))
✓	0.1b	(*.f64 ew (sin.f64 t))
✓	2.3b	(/.f64 (/.f64 eh ew) (tan.f64 t))
✓	34.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series118.0ms (0.8%)

Counts

4 → 120

Calls

4 calls:

80.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
21.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
9.0ms	(*.f64 ew (sin.f64 t))
7.0ms	(*.f64 eh (cos.f64 t))

rewrite22.0ms (0.1%)

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:

6.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(*.f64 eh (cos.f64 t))
3.0ms	(*.f64 ew (sin.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify183.0ms (1.2%)

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

prune252.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	278	13	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	13	292

Error

0.0b

Counts

292 → 13

Alt Table

Status	Error	Program
	16.1b	(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)))))))
	22.4b	(fabs.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 ew ew) ew) (.f64 (.f64 (sin.f64 t) (sin.f64 t)) (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)))))))
	31.4b	(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 (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 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	16.9b	(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)))))))
	32.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.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)))))))
	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)))))))
▶	0.1b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 (tan.f64 t) ew)))) 3)) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	25.4b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 ew (sin.f64 t))) (sqrt.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)))))))
	29.4b	(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)))))))
	17.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (expm1.f64 (log1p.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 11289 to 2472 computations (78.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 (tan.f64 t) ew)))) 3))
	2.3b	(/.f64 (/.f64 eh ew) (tan.f64 t))
✓	4.0b	(/.f64 eh (*.f64 (tan.f64 t) ew))
✓	34.9b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 (tan.f64 t) ew))))

series123.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

83.0ms	(/.f64 eh (*.f64 (tan.f64 t) ew))
21.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 (tan.f64 t) ew))))
20.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 (tan.f64 t) ew)))) 3))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

4.0ms	(/.f64 eh (*.f64 (tan.f64 t) ew))
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 (tan.f64 t) ew)))) 3))
1.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 (tan.f64 t) ew))))

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-/r*_binary64`
571×	`associate-/r/_binary64`
496×	`associate-*l/_binary64`
338×	`fma-neg_binary64`
241×	`associate-/l*_binary64`

Counts

130 → 85

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	2067
1	254	1940
2	708	1938
3	2058	1934
4	4425	1920
5	4887	1920
6	4949	1920
7	4951	1920

prune393.0ms (2.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	192	13	205

Error

0.0b

Counts

205 → 13

Alt Table

Status	Error	Program
	16.1b	(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)))))))
	22.4b	(fabs.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 ew ew) ew) (.f64 (.f64 (sin.f64 t) (sin.f64 t)) (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)))))))
	31.4b	(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 (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 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 eh) (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	16.9b	(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)))))))
	32.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.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)))))))
	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)))))))
✓	0.1b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 (tan.f64 t) ew)))) 3)) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	25.4b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 ew (sin.f64 t))) (sqrt.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)))))))
	29.4b	(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)))))))
	17.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (expm1.f64 (log1p.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 8298 to 2494 computations (69.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t))))
	2.3b	(/.f64 (/.f64 eh ew) (tan.f64 t))
✓	9.9b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
	34.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series1.2s (7.9%)

Counts

2 → 48

Calls

2 calls:

739.0ms	(.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t))))
457.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1/3_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 44

Calls

2 calls:

4.0ms	(.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t))))
3.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

910×	`fma-neg_binary64`
528×	`associate-l_binary64`
433×	`associate-r_binary64`
353×	`distribute-rgt-neg-in_binary64`
336×	`distribute-lft-neg-in_binary64`

Counts

92 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1938
1	310	1685
2	822	1332
3	2795	1061
4	4788	1061
5	5007	1061

prune970.0ms (6.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	367	3	370
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	368	15	383

Error

0.0b

Counts

383 → 15

Alt Table

Status	Error	Program
	32.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.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)))))))
	26.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 2/3)) (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 2/3))) (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 2/3))) (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)))))))
▶	0.5b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (.f64 (cbrt.f64 ew) (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)))))))
✓	0.1b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 (tan.f64 t) ew)))) 3)) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	16.1b	(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)))))))
	22.4b	(fabs.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 ew ew) ew) (.f64 (.f64 (sin.f64 t) (sin.f64 t)) (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)))))))
	31.4b	(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 (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)))))))
	25.4b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 ew (sin.f64 t))) (sqrt.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 eh) (cbrt.f64 eh)) (*.f64 (cbrt.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)))))))
	29.4b	(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 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (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)))))))
	17.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (expm1.f64 (log1p.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 19054 to 3410 computations (82.1% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 ew)
	2.3b	(/.f64 (/.f64 eh ew) (tan.f64 t))
	9.9b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
	34.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series31.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

31.0ms

(cbrt.f64 ew)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

1.0ms

(cbrt.f64 ew)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-/l/_binary64`
374×	`log-prod_binary64`
316×	`distribute-rgt-neg-in_binary64`
314×	`distribute-lft-neg-in_binary64`
287×	`*-commutative_binary64`

Counts

25 → 18

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	38	137
2	86	137
3	208	137
4	626	133
5	1904	133
6	2565	133
7	3552	133
8	4861	133

prune528.0ms (3.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	303	15	318

Error

0.0b

Counts

318 → 15

Alt Table

Status	Error	Program
	32.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.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)))))))
	26.6b	(fabs.f64 (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 2/3)) (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 2/3))) (cbrt.f64 (pow.f64 (.f64 ew (sin.f64 t)) 2/3))) (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)))))))
✓	0.5b	(fabs.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 ew (sin.f64 t))) (cbrt.f64 (.f64 ew (sin.f64 t)))) (.f64 (cbrt.f64 ew) (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)))))))
✓	0.1b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 (tan.f64 t) ew)))) 3)) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	16.1b	(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)))))))
	22.4b	(fabs.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 ew ew) ew) (.f64 (.f64 (sin.f64 t) (sin.f64 t)) (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)))))))
	31.4b	(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 (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)))))))
	25.4b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 ew (sin.f64 t))) (sqrt.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 eh) (cbrt.f64 eh)) (*.f64 (cbrt.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)))))))
	29.4b	(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 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (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)))))))
	17.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (expm1.f64 (log1p.f64 (*.f64 eh (cos.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 15665 to 2520 computations (83.9% saved)

regimes604.0ms (4%)

Accuracy

Total 0.1b remaining (63.8%)

Threshold costs 0.1b (63.8%)

Counts

90 → 1

Compiler

Compiled 15801 to 9104 computations (42.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	49
1	27	49
2	27	49

end345.0ms (2.3%)

Compiler: Compiled 650 to 346 computations (46.8% saved)

Details

analyze4.2s (27.4%)

sample5.8s (38.4%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize27.0ms (0.2%)

series118.0ms (0.8%)

rewrite22.0ms (0.1%)

simplify183.0ms (1.2%)

prune252.0ms (1.7%)

localize27.0ms (0.2%)

series123.0ms (0.8%)

rewrite10.0ms (0.1%)

simplify133.0ms (0.9%)

prune393.0ms (2.6%)

localize24.0ms (0.2%)

series1.2s (7.9%)

rewrite9.0ms (0.1%)

simplify93.0ms (0.6%)

prune970.0ms (6.4%)

localize28.0ms (0.2%)

series31.0ms (0.2%)

rewrite1.0ms (0%)

simplify60.0ms (0.4%)

prune528.0ms (3.5%)

regimes604.0ms (4%)

simplify3.0ms (0%)

end345.0ms (2.3%)

Profiling