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)

sample10.1s (77.7%)

Results

8.1s	4255×	body	2048	valid
1.3s	1993×	body	1024	valid
361.0ms	1037×	body	512	valid
221.0ms	237×	body	4096	valid
113.0ms	506×	body	256	valid
29.0ms	228×	body	128	valid

Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify12.0ms (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

60.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	60.1b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (tan.f64 x))
✓	3.8b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series27.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

16.0ms	(/.f64 1 (tan.f64 x))
10.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite58.0ms (0.4%)

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:

18.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
3.0ms	(/.f64 1 (tan.f64 x))

simplify243.0ms (1.9%)

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

Compiler

Compiled 10334 to 6485 computations (37.2% saved)

localize6.0ms (0%)

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)))

series6.0ms (0%)

Counts

2 → 12

Calls

2 calls:

3.0ms	(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)))

simplify93.0ms (0.7%)

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

prune38.0ms (0.3%)

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
	33.6b	(.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	(.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)))
	42.2b	(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 864 to 669 computations (22.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series20.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

9.0ms

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

7.0ms

(*.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)))))

3.0ms

(*.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)))))

rewrite17.0ms (0.1%)

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:

6.0ms

(*.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 (1.3%)

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

prune339.0ms (2.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	279	11	290
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	280	14	294

Error

0.1b

Counts

294 → 14

Alt Table

Status	Error	Program
	35.2b	(.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 (exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	2.0b	(.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)))))
	2.8b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 8) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
▶	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (pow.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)))))
	34.1b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (sqrt.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)))))
	2.0b	(.f64 (.f64 (.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 (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)))))
	34.1b	(.f64 (cbrt.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))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	34.0b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (.f64 (cbrt.f64 (sqrt.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)))))
	5.2b	(.f64 (exp.f64 (log.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)))))
	33.6b	(.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)))))
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
	42.2b	(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)))))
	1.9b	(.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)))))
	34.3b	(.f64 (cbrt.f64 (.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))))) (.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 (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 12160 to 9860 computations (18.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)
✓	0.6b	(cbrt.f64 (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))))
✓	0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))

series27.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

12.0ms

(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)

8.0ms

(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))

7.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`

Counts

3 → 61

Calls

3 calls:

2.0ms

(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))

2.0ms

(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)

1.0ms

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary64`
550×	`associate-l_binary64`
464×	`times-frac_binary64`
309×	`associate-/r*_binary64`
229×	`associate-/l*_binary64`

Counts

97 → 173

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	3541
1	602	3392
2	1550	2806
3	5301	2806

prune500.0ms (3.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	326	7	333
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	327	20	347

Error

0.1b

Counts

347 → 20

Alt Table

Status	Error	Program
	35.2b	(.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 (exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	2.0b	(.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)))))
	2.8b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 8) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
✓	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (pow.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)))))
	34.1b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (sqrt.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)))))
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2)))) (cbrt.f64 (cbrt.f64 (pow.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)))))
	2.0b	(.f64 (.f64 (.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 (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)))))
	34.1b	(.f64 (cbrt.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))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	2.2b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (pow.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)))))) (.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)))))))
	52.5b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (log.f64 (exp.f64 (cbrt.f64 (pow.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)))))
	1.9b	(.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)))))
	4.4b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2) 1/3)) (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)))))
	33.6b	(.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)))))
	35.0b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (cbrt.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 1/3) (log.f64 x)))))) (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)))
	42.2b	(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)))))
	3.8b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log.f64 (cbrt.f64 (pow.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)))))
	34.9b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2))) (.f64 (pow.f64 1/3 1/9) (pow.f64 x 1/9))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	34.3b	(.f64 (cbrt.f64 (.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))))) (.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 (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)))))
	34.0b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (.f64 (cbrt.f64 (sqrt.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 20146 to 16572 computations (17.7% saved)

regimes372.0ms (2.9%)

Accuracy

Total 0.1b remaining (39.2%)

Threshold costs 0.1b (39.2%)

Counts

126 → 1

Compiler

Compiled 9734 to 7952 computations (18.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end649.0ms (5%)

Compiler: Compiled 878 to 718 computations (18.2% 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%)

sample10.1s (77.7%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

series27.0ms (0.2%)

rewrite58.0ms (0.4%)

simplify243.0ms (1.9%)

prune188.0ms (1.5%)

localize6.0ms (0%)

series6.0ms (0%)

rewrite7.0ms (0.1%)

simplify93.0ms (0.7%)

prune38.0ms (0.3%)

localize8.0ms (0.1%)

series20.0ms (0.2%)

rewrite17.0ms (0.1%)

simplify173.0ms (1.3%)

prune339.0ms (2.6%)

localize12.0ms (0.1%)

series27.0ms (0.2%)

rewrite7.0ms (0.1%)

simplify80.0ms (0.6%)

prune500.0ms (3.9%)

regimes372.0ms (2.9%)

simplify2.0ms (0%)

end649.0ms (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