Details

analyze5.0ms (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)

sample9.1s (71.9%)

Results

7.0s	4118×	body	2048	valid
1.3s	2151×	body	1024	valid
326.0ms	1005×	body	512	valid
182.0ms	203×	body	4096	valid
117.0ms	510×	body	256	valid
34.0ms	269×	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

59.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	59.5b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (tan.f64 x))
✓	4.1b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series28.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

18.0ms	(/.f64 1 (tan.f64 x))
10.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite52.0ms (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:

16.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
3.0ms	(/.f64 1 (tan.f64 x))

simplify234.0ms (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

prune184.0ms (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

0.4b

Counts

303 → 1

Alt Table

Status	Error	Program
▶	0.4b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

Compiler

Compiled 10354 to 6501 computations (37.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
✓	0.0b	(fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
✓	0.1b	(*.f64 1/45 (pow.f64 x 3))
✓	0.4b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

series16.0ms (0.1%)

Counts

4 → 36

Calls

4 calls:

5.0ms	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
4.0ms	(fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
4.0ms	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (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

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

Counts

4 → 63

Calls

4 calls:

4.0ms	(*.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 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))
0.0ms	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

758×	`associate-+l+_binary64`
600×	`associate-l_binary64`
566×	`associate-r_binary64`
252×	`distribute-lft-in_binary64`
252×	`distribute-rgt-in_binary64`

Counts

99 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1566
1	188	1415
2	538	1403
3	2928	1403
4	5347	1403

prune92.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Error

0.3b

Counts

97 → 5

Alt Table

Status	Error	Program
	35.2b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
✓	0.4b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	32.8b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	39.7b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))))

Compiler

Compiled 2508 to 1977 computations (21.2% saved)

localize14.0ms (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)))))
	0.4b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
✓	0.6b	(.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:

10.0ms

(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)))))

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))))

simplify167.0ms (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

prune409.0ms (3.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	277	13	290
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	279	16	295

Error

0.2b

Counts

295 → 16

Alt Table

Status	Error	Program
	2.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 4)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	33.4b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (.f64 (cbrt.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)))))))
	34.6b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))))
	1.8b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))))
	33.5b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	1.9b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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 (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)))))))))
	26.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))))
	32.8b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
✓	0.4b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	28.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 6) 1/3) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	2.2b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	33.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (.f64 (sqrt.f64 (cbrt.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))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	33.3b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	2.0b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))

Compiler

Compiled 15432 to 12482 computations (19.1% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
	0.6b	(.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 (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))))))
	0.6b	(cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))

series9.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

8.0ms

(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))))))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`rem-cbrt-cube_binary64`
1×	`pow3_binary64`
1×	`cbrt-prod_binary64`

Counts

1 → 12

Calls

1 calls:

5.0ms

(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))))))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-/l*_binary64`
487×	`fma-neg_binary64`
382×	`cancel-sign-sub-inv_binary64`
213×	`fma-def_binary64`
182×	`unswap-sqr_binary64`

Counts

24 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	877
1	217	847
2	517	647
3	1914	519
4	4841	519
5	4967	519

prune987.0ms (7.8%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	464	7	471
Fresh	2	11	13
Picked	0	1	1
Done	0	2	2
Total	466	21	487

Error

0.2b

Counts

487 → 21

Alt Table

Status	Error	Program
	34.0b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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))))) (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1/3))))))
	33.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (.f64 (sqrt.f64 (cbrt.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))))) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	3.7b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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 (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)))))))))
	1.7b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (.f64 (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)))))))))
	2.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) 4)) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	33.4b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (.f64 (cbrt.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)))))))
	1.8b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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 (.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)))))))))
	1.8b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))))
	26.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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 (.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)))))))))
	33.3b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	34.6b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (.f64 (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))))))) (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)))))))))
	33.5b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	1.9b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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 (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)))))))))
	32.8b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
	27.2b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 6) 1/3) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))))
✓	0.4b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
	28.1b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 6) 1/3) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
	2.2b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))
✓	1.6b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))))
	2.0b	(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (.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)))))))

Compiler

Compiled 34199 to 27681 computations (19.1% saved)

regimes273.0ms (2.2%)

Accuracy

Total 0.2b remaining (46%)

Threshold costs 0.2b (46%)

Counts

86 → 1

Compiler

Compiled 7824 to 6358 computations (18.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	17	25
2	17	25

end803.0ms (6.4%)

Compiler: Compiled 1173 to 951 computations (18.9% 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

analyze5.0ms (0%)

sample9.1s (71.9%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

series28.0ms (0.2%)

rewrite52.0ms (0.4%)

simplify234.0ms (1.9%)

prune184.0ms (1.5%)

localize10.0ms (0.1%)

series16.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify63.0ms (0.5%)

prune92.0ms (0.7%)

localize14.0ms (0.1%)

series22.0ms (0.2%)

rewrite17.0ms (0.1%)

simplify167.0ms (1.3%)

prune409.0ms (3.2%)

localize34.0ms (0.3%)

series9.0ms (0.1%)

rewrite5.0ms (0%)

simplify82.0ms (0.7%)

prune987.0ms (7.8%)

regimes273.0ms (2.2%)

simplify3.0ms (0%)

end803.0ms (6.4%)

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