Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.4s (79.3%)

Results

6.5s	4119×	body	2048	valid
1.2s	2091×	body	1024	valid
408.0ms	1042×	body	512	valid
154.0ms	217×	body	4096	valid
93.0ms	528×	body	256	valid
26.0ms	259×	body	128	valid

Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify10.0ms (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

60.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	60.5b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series11.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

11.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite50.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

279×	`times-frac_binary64`
230×	`add-sqr-sqrt_binary64`
222×	`*-un-lft-identity_binary64`
206×	`add-cube-cbrt_binary64`
182×	`prod-diff_binary64`

Counts

1 → 239

Calls

1 calls:

16.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify216.0ms (2%)

Algorithm

1×	egg-herbie

Rules

437×	`fma-def_binary64`
387×	`fma-neg_binary64`
371×	`unsub-neg_binary64`
338×	`distribute-rgt-in_binary64`
285×	`associate-l_binary64`

Counts

251 → 251

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	8557
1	324	4800
2	803	3343
3	2437	3343
4	4169	3343
5	4866	3343
6	4805	3343

prune173.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	1	252

Error

0.3b

Counts

252 → 1

Alt Table

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

Compiler

Compiled 9645 to 6043 computations (37.3% saved)

localize5.0ms (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 (0.1%)

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))

rewrite6.0ms (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 (0.9%)

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

prune37.0ms (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
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
	38.8b	(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
	29.8b	(.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)))))

Compiler

Compiled 832 to 645 computations (22.5% 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))))

series22.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

9.0ms

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

8.0ms

(*.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)))))

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)))))

rewrite20.0ms (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:

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))))

simplify170.0ms (1.6%)

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 (3.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	278	12	290
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	279	15	294

Error

0.1b

Counts

294 → 15

Alt Table

Status	Error	Program
	1.9b	(.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)))))
	30.3b	(.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))))) (.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)))))))
	39.0b	(cbrt.f64 (.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)))))) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	1.8b	(.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 (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)))))))
▶	1.5b	(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)
	2.4b	(.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)))))
	2.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 5) (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)))))
	28.7b	(.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)))))
	32.3b	(.f64 (exp.f64 (.f64 2 (log.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)))))
	29.8b	(.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)))
	38.8b	(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
	32.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (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)))))
	30.4b	(.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	(.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)))))

Compiler

Compiled 12208 to 9902 computations (18.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 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)))
	0.6b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)

series169.0ms (1.6%)

Counts

1 → 12

Calls

1 calls:

169.0ms

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

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cube-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`cbrt-prod_binary64`
6×	`unpow-prod-down_binary64`

Counts

1 → 32

Calls

1 calls:

2.0ms

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
554×	`times-frac_binary64`
484×	`associate-l_binary64`
414×	`associate-r_binary64`
301×	`exp-prod_binary64`

Counts

44 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1128
1	201	1009
2	553	902
3	2551	748
4	4884	748
5	5093	748

prune152.0ms (1.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	144	16	160

Error

0.1b

Counts

160 → 16

Alt Table

Status	Error	Program
	40.7b	(fma.f64 1/45 (pow.f64 x 3) (.f64 15 (/.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x x))))
	1.9b	(.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)))))
	30.3b	(.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))))) (.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)))))))
✓	1.5b	(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)
	2.4b	(.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)))))
	2.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 5) (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)))))
	28.7b	(.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)))))
	32.3b	(.f64 (exp.f64 (.f64 2 (log.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)))))
	29.8b	(.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)))
	38.8b	(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
	30.6b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 3))
	32.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (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)))))
	40.8b	(fma.f64 15 (/.f64 (.f64 -1/45 (pow.f64 (/.f64 -1 x) -3)) (.f64 x x)) (*.f64 -1/45 (pow.f64 (/.f64 -1 x) -3)))
	1.8b	(.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 (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)))))))
	1.9b	(.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)))))

Compiler

Compiled 3352 to 2764 computations (17.5% saved)

regimes228.0ms (2.2%)

Accuracy

Total 0.2b remaining (41.4%)

Threshold costs 0.2b (41.4%)

Counts

73 → 1

Compiler

Compiled 4964 to 4052 computations (18.4% 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

end383.0ms (3.6%)

Compiler: Compiled 552 to 449 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

analyze3.0ms (0%)

sample8.4s (79.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

series11.0ms (0.1%)

rewrite50.0ms (0.5%)

simplify216.0ms (2%)

prune173.0ms (1.6%)

localize5.0ms (0%)

series6.0ms (0.1%)

rewrite6.0ms (0.1%)

simplify93.0ms (0.9%)

prune37.0ms (0.3%)

localize8.0ms (0.1%)

series22.0ms (0.2%)

rewrite20.0ms (0.2%)

simplify170.0ms (1.6%)

prune339.0ms (3.2%)

localize7.0ms (0.1%)

series169.0ms (1.6%)

rewrite4.0ms (0%)

simplify74.0ms (0.7%)

prune152.0ms (1.4%)

regimes228.0ms (2.2%)

simplify2.0ms (0%)

end383.0ms (3.6%)

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