Details

analyze6.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.9s (79.3%)

Results

7.9s	4208×	body	2048	valid
1.3s	2050×	body	1024	valid
344.0ms	1028×	body	512	valid
222.0ms	238×	body	4096	valid
145.0ms	521×	body	256	valid
27.0ms	211×	body	128	valid

Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify11.0ms (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	12
1	11	12
2	17	12
3	25	12
4	33	12
5	51	12
6	76	12
7	93	12
8	110	12
9	120	12
10	124	12
11	126	12
12	112	12

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

60.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	60.3b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (tan.f64 x))
✓	2.6b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series30.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

19.0ms	(/.f64 1 (tan.f64 x))
11.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite58.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

288×	`times-frac_binary64`
239×	`add-sqr-sqrt_binary64`
231×	`*-un-lft-identity_binary64`
215×	`add-cube-cbrt_binary64`
182×	`prod-diff_binary64`

Counts

2 → 273

Calls

2 calls:

17.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
3.0ms	(/.f64 1 (tan.f64 x))

simplify263.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
466×	`fma-def_binary64`
354×	`distribute-rgt-in_binary64`
331×	`cancel-sign-sub-inv_binary64`
277×	`associate-l_binary64`

Counts

297 → 302

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	171	8645
1	364	6130
2	911	4575
3	2803	4281
4	4238	4246
5	4940	4246
6	4768	4246

prune188.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	1	303

Error

0.3b

Counts

303 → 1

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

Compiler

Compiled 10344 to 6493 computations (37.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/45 (pow.f64 x 3))
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

series10.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

6.0ms	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
3.0ms	(*.f64 1/45 (pow.f64 x 3))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 43

Calls

2 calls:

5.0ms	(*.f64 1/45 (pow.f64 x 3))
0.0ms	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

541×	`associate-l_binary64`
505×	`associate-r_binary64`
426×	`log-prod_binary64`
346×	`exp-prod_binary64`
345×	`swap-sqr_binary64`

Counts

55 → 53

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	631
1	125	568
2	339	568
3	1827	568
4	3512	538
5	4560	538
6	4941	538
7	4973	538

prune52.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Error

0.2b

Counts

54 → 4

Alt Table

Status	Error	Program
	33.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
▶	1.5b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
✓	0.3b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	38.2b	(fma.f64 2/945 (pow.f64 x 5) (cbrt.f64 (.f64 (.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))

Compiler

Compiled 1164 to 909 computations (21.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
✓	0.5b	(.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
✓	0.6b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

series23.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

10.0ms

(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

8.0ms

(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

4.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

1.0ms

(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

simplify173.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-neg_binary64`
445×	`fma-def_binary64`
244×	`times-frac_binary64`
235×	`unswap-sqr_binary64`
224×	`exp-prod_binary64`

Counts

129 → 165

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	190	3822
1	455	3466
2	1196	2778
3	3460	2540
4	4803	2446
5	4721	2446
6	4924	2446
7	4924	2446

prune386.0ms (3.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	277	13	290
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	278	16	294

Error

0.1b

Counts

294 → 16

Alt Table

Status	Error	Program
	33.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	2.3b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	33.4b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	1.9b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	1.8b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
✓	0.3b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	29.6b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 6)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	34.7b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
	2.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 2)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	2.3b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 2)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	38.2b	(fma.f64 2/945 (pow.f64 x 5) (cbrt.f64 (.f64 (.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	2.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	1.6b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
▶	1.5b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))))
	33.4b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 5) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	1.9b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))

Compiler

Compiled 14029 to 11364 computations (19% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/3 x)
	0.5b	(.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
✓	0.6b	(cbrt.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))
	0.6b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

series19.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

18.0ms	(cbrt.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))
2.0ms	(*.f64 1/3 x)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

3.0ms	(*.f64 1/3 x)
3.0ms	(cbrt.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
490×	`associate-l_binary64`
481×	`associate-r_binary64`
350×	`fma-def_binary64`
270×	`unswap-sqr_binary64`

Counts

47 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1171
1	333	1084
2	910	908
3	3754	837
4	5012	837

prune325.0ms (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	231	17	248

Error

0.1b

Counts

248 → 17

Alt Table

Status	Error	Program
	2.3b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 2)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	40.6b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/3 x) 3) (pow.f64 (.f64 1/45 (pow.f64 x 3)) 3))) (cbrt.f64 (+.f64 (.f64 (.f64 1/3 x) (.f64 1/3 x)) (-.f64 (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/45 (pow.f64 x 3))) (.f64 (.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))))))
	33.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	2.3b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	33.4b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	1.9b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	1.8b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
✓	0.3b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	29.6b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 6)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	34.7b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
	2.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 2)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	38.2b	(fma.f64 2/945 (pow.f64 x 5) (cbrt.f64 (.f64 (.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	2.0b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	1.6b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
✓	1.5b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))))
	33.4b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 5) (sqrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	1.9b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))

Compiler

Compiled 11763 to 9578 computations (18.6% saved)

regimes239.0ms (1.9%)

Accuracy

Total 0.1b remaining (44.1%)

Threshold costs 0.1b (44.1%)

Counts

82 → 1

Compiler

Compiled 6402 to 5216 computations (18.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	13	18
2	13	18

end565.0ms (4.5%)

Compiler: Compiled 851 to 692 computations (18.7% saved)

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	33	12
5	51	12
6	76	12
7	93	12
8	110	12
9	120	12
10	124	12
11	126	12
12	112	12

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	33	12
5	51	12
6	76	12
7	93	12
8	110	12
9	120	12
10	124	12
11	126	12
12	112	12

Details

analyze6.0ms (0%)

sample9.9s (79.3%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series30.0ms (0.2%)

rewrite58.0ms (0.5%)

simplify263.0ms (2.1%)

prune188.0ms (1.5%)

localize8.0ms (0.1%)

series10.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify102.0ms (0.8%)

prune52.0ms (0.4%)

localize11.0ms (0.1%)

series23.0ms (0.2%)

rewrite21.0ms (0.2%)

simplify173.0ms (1.4%)

prune386.0ms (3.1%)

localize14.0ms (0.1%)

series19.0ms (0.2%)

rewrite7.0ms (0.1%)

simplify62.0ms (0.5%)

prune325.0ms (2.6%)

regimes239.0ms (1.9%)

simplify2.0ms (0%)

end565.0ms (4.5%)

Profiling

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	33	12
5	51	12
6	76	12
7	93	12
8	110	12
9	120	12
10	124	12
11	126	12
12	112	12