Details

analyze26.0ms (0.2%)

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)

sample269.0ms (1.7%)

Algorithm

1×

intervals

Results

216.0ms	124×	body	2048	valid
22.0ms	68×	body	1024	valid
6.0ms	35×	body	512	valid
6.0ms	8×	body	4096	valid
5.0ms	256×	pre	128	true
1.0ms	11×	body	256	valid
1.0ms	10×	body	128	valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify14.0ms (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

59.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	59.3b	(-.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))
✓	2.4b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite55.0ms (0.3%)

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:

22.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
3.0ms	(/.f64 1 (tan.f64 x))

series47.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

27.0ms	(/.f64 1 (tan.f64 x))
20.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify293.0ms (1.8%)

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 → 564

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

prune187.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	563	1	564
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	564	1	565

Error

0.3b

Counts

565 → 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 10335 to 6490 computations (37.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
✓	0.1b	(*.f64 1/45 (pow.f64 x 3))
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

5.0ms	(*.f64 1/45 (pow.f64 x 3))
0.0ms	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
0.0ms	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

series43.0ms (0.3%)

Counts

3 → 24

Calls

3 calls:

14.0ms	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
14.0ms	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
14.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
659×	`distribute-rgt-in_binary64`
653×	`distribute-lft-in_binary64`
563×	`associate-l_binary64`
526×	`associate-r_binary64`

Counts

77 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1043
1	151	943
2	418	931
3	2194	931
4	5301	931

prune64.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	4	121

Error

0.3b

Counts

121 → 4

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))))
	37.6b	(cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3))
	33.7b	(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))))))
▶	1.6b	(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 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))

Compiler

Compiled 1454 to 1134 computations (22% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))))
	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
✓	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

rewrite16.0ms (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:

5.0ms	(.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))))

series26.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

13.0ms	(.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)))))
13.0ms	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-neg_binary64`
429×	`fma-def_binary64`
396×	`associate-l_binary64`
374×	`associate-r_binary64`
244×	`times-frac_binary64`

Counts

79 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2946
1	418	2758
2	1077	2140
3	4071	1957
4	4960	1957
5	4926	1957

prune293.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	250	10	260
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	250	14	264

Error

0.2b

Counts

264 → 14

Alt Table

Status	Error	Program
	34.2b	(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)))))) (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))))
	2.1b	(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 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
	34.2b	(fma.f64 2/945 (pow.f64 x 5) (.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)))))) (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	(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))))) 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))))))
▶	1.9b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.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 (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))))))
	34.2b	(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))))))
	37.6b	(cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3))
	28.4b	(fma.f64 2/945 (pow.f64 x 5) (.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))))))
✓	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 (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 (.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 (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 (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))))))
	28.7b	(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))))))
	5.0b	(fma.f64 2/945 (pow.f64 x 5) (.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))))))
	33.7b	(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))))))

Compiler

Compiled 10282 to 8341 computations (18.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
	0.7b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune325.0ms (2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	2399	1	2400
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	2399	15	2414

Error

0.2b

Counts

2414 → 15

Alt Table

Status	Error	Program
	34.2b	(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)))))) (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))))
	2.1b	(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 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))
	34.2b	(fma.f64 2/945 (pow.f64 x 5) (.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)))))) (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	(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))))) 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))))))
✓	1.9b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.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 (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))))))
	34.2b	(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))))))
	37.6b	(cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3))
	28.4b	(fma.f64 2/945 (pow.f64 x 5) (.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))))))
✓	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 (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 (.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 (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 (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))))))
	28.7b	(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))))))
	5.0b	(fma.f64 2/945 (pow.f64 x 5) (.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))))))
	35.2b	(fma.f64 2/945 (pow.f64 x 5) (.f64 (.f64 (.f64 (cbrt.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 (.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))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))
	33.7b	(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))))))

Compiler

Compiled 11580 to 9405 computations (18.8% saved)

regimes126.0ms (0.8%)

Accuracy

Total 0.1b remaining (41.1%)

Threshold costs 0.1b (41.1%)

Compiler

Compiled 3056 to 2476 computations (19% saved)

simplify3.0ms (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

end1.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

sample14.2s (87.3%)

Algorithm

1×

intervals

Results

10.5s	4084×	body	2048	valid
1.3s	1958×	body	1024	valid
334.0ms	1036×	body	512	valid
222.0ms	214×	body	4096	valid
217.0ms	8000×	pre	128	true
85.0ms	484×	body	256	valid
21.0ms	224×	body	128	valid

Compiler

Compiled 654 to 529 computations (19.1% 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

analyze26.0ms (0.2%)

sample269.0ms (1.7%)

simplify14.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite55.0ms (0.3%)

series47.0ms (0.3%)

simplify293.0ms (1.8%)

prune187.0ms (1.2%)

localize9.0ms (0.1%)

rewrite8.0ms (0%)

series43.0ms (0.3%)

simplify62.0ms (0.4%)

prune64.0ms (0.4%)

localize12.0ms (0.1%)

rewrite16.0ms (0.1%)

series26.0ms (0.2%)

simplify131.0ms (0.8%)

prune293.0ms (1.8%)

localize22.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify32.0ms (0.2%)

prune325.0ms (2%)

regimes126.0ms (0.8%)

simplify3.0ms (0%)

end1.0ms (0%)

sample14.2s (87.3%)

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