Details

analyze1.5s (5.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
0%	81.2%	18.8%	6
0%	74.9%	25.1%	7
0%	71.8%	28.2%	8
3.1%	60.9%	36%	9
3.1%	58.1%	38.7%	10
4.7%	52.2%	43.1%	11
4.7%	51%	44.3%	12
5.8%	47.6%	46.6%	13
5.8%	47%	47.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample11.9s (42.3%)

Results

3.0s	724×	body	8192	exit
2.5s	1485×	body	1024	invalid
2.4s	2740×	body	1024	valid
1.7s	1809×	body	2048	valid
737.0ms	1257×	body	512	valid
569.0ms	745×	body	512	invalid
414.0ms	1851×	body	128	valid
235.0ms	599×	body	256	valid
195.0ms	1017×	body	128	invalid
159.0ms	368×	body	256	invalid
14.0ms	8×	body	2048	invalid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
359×	`sub-neg_binary64`
289×	`unsub-neg_binary64`
253×	`distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	41	19
3	102	19
4	248	19
5	790	19
6	2110	19
7	4405	19
8	5048	19

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

31.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	31.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	1.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series120.0ms (0.4%)

Counts

3 → 72

Calls

3 calls:

67.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
36.0ms	(pow.f64 x (/.f64 1 n))
16.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
76×	`unpow-prod-down_binary64`
65×	`add-sqr-sqrt_binary64`
56×	`prod-diff_binary64`
53×	`add-cube-cbrt_binary64`

Counts

3 → 155

Calls

3 calls:

9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
5.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
2.0ms	(pow.f64 x (/.f64 1 n))

simplify195.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

580×	`cancel-sign-sub-inv_binary64`
422×	`fma-neg_binary64`
284×	`sub-neg_binary64`
202×	`fma-def_binary64`
194×	`+-commutative_binary64`

Counts

227 → 269

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9108
1	964	7526
2	3311	5432
3	4914	5432
4	4974	5432

prune349.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	264	5	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	5	270

Error

1.0b

Counts

270 → 5

Alt Table

Status	Error	Program
▶	30.5b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	40.1b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	32.0b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	30.5b	(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	30.8b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 10022 to 6751 computations (32.6% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
✓	0.0b	(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)
✓	0.2b	(/.f64 (log1p.f64 x) n)
✓	1.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

series510.0ms (1.8%)

Counts

4 → 96

Calls

4 calls:

281.0ms	(/.f64 (log1p.f64 x) n)
156.0ms	(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)
36.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
36.0ms	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
31×	`unpow-prod-down_binary64`
21×	`prod-diff_binary64`

Counts

4 → 145

Calls

4 calls:

8.0ms	(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
7.0ms	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
2.0ms	(/.f64 (log1p.f64 x) n)

simplify184.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-def_binary64`
421×	`times-frac_binary64`
375×	`associate-/r*_binary64`
299×	`associate-/l*_binary64`
154×	`+-commutative_binary64`

Counts

241 → 246

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	677	12407
1	1976	11002
2	5028	11002

prune415.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	243	3	246
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	243	8	251

Error

1.0b

Counts

251 → 8

Alt Table

Status	Error	Program
	40.1b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	46.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 7/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) (log.f64 (+.f64 1 x))) (pow.f64 n 5))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 3) (log.f64 (+.f64 1 x))) (pow.f64 n 4))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 6) (pow.f64 n 6))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (log.f64 (+.f64 1 x))) (pow.f64 n 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 5) (log.f64 (+.f64 1 x))) (pow.f64 n 6))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)) (+.f64 (.f64 5/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 5) (pow.f64 n 5))) (/.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 5))))))))))) (+.f64 (.f64 5/4 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 7/4 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 4)) (pow.f64 n 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 5)) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1 x)) 4)) (pow.f64 n 6))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 3)) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1 x)) 3)) (pow.f64 n 5)))))))))))))
	48.7b	(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 3) (*.f64 (pow.f64 x 3) (pow.f64 n 3))))
▶	30.5b	(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
✓	30.5b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	32.0b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	30.8b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
	35.3b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))

Compiler

Compiled 12382 to 7613 computations (38.5% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
✓	0.0b	(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
	0.2b	(/.f64 (log1p.f64 x) n)
	1.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

series1.1s (3.9%)

Counts

2 → 48

Calls

2 calls:

776.0ms

(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

323.0ms

(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
43×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64`
15×	`difference-of-squares_binary64`
14×	`cbrt-div_binary64`

Counts

2 → 83

Calls

2 calls:

19.0ms

(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

6.0ms

(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

simplify369.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

416×	`*-commutative_binary64`
266×	`+-commutative_binary64`
230×	`fma-def_binary64`
203×	`associate-+r+_binary64`
151×	`associate-*r/_binary64`

Counts

131 → 174

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1104	19896
1	4049	19536
2	4979	19536
3	4955	19536

prune2.4s (8.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	744	1	745
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	745	8	753

Error

1.0b

Counts

753 → 8

Alt Table

Status	Error	Program
	40.1b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	46.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 7/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) (log.f64 (+.f64 1 x))) (pow.f64 n 5))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 3) (log.f64 (+.f64 1 x))) (pow.f64 n 4))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 6) (pow.f64 n 6))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (log.f64 (+.f64 1 x))) (pow.f64 n 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 5) (log.f64 (+.f64 1 x))) (pow.f64 n 6))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)) (+.f64 (.f64 5/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 5) (pow.f64 n 5))) (/.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 5))))))))))) (+.f64 (.f64 5/4 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 7/4 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 4)) (pow.f64 n 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 5)) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1 x)) 4)) (pow.f64 n 6))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 3)) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1 x)) 3)) (pow.f64 n 5)))))))))))))
	35.3b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
▶	30.5b	(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
✓	30.5b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	32.0b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	48.7b	(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 3) (*.f64 (pow.f64 x 3) (pow.f64 n 3))))
	30.8b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 74772 to 42614 computations (43% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
✓	0.0b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
	0.2b	(/.f64 (log1p.f64 x) n)
	1.7b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

series322.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

322.0ms

(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))

rewrite48.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
28×	`frac-times_binary64`
27×	`flip--_binary64`
27×	`flip3--_binary64`
14×	`associate-*l/_binary64`

Counts

1 → 38

Calls

1 calls:

30.0ms

(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))

simplify200.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

625×	`times-frac_binary64`
468×	`associate-/r*_binary64`
376×	`associate-/l*_binary64`
341×	`fma-def_binary64`
219×	`associate-*r/_binary64`

Counts

62 → 94

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	9169
1	1541	8565
2	5041	8565

prune3.0s (10.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1149	0	1149
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	1149	8	1157

Error

1.0b

Counts

1157 → 8

Alt Table

Status	Error	Program
	40.1b	(-.f64 (fma.f64 11/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 n n) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 3))) (fma.f64 1/24 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/6 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x n))))))) (fma.f64 1/2 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 x (.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (+.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 n (pow.f64 x 4))) (/.f64 (pow.f64 x (/.f64 1 n)) (.f64 (pow.f64 n 3) (pow.f64 x 4)))))))
	46.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 7/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) (log.f64 (+.f64 1 x))) (pow.f64 n 5))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 3) (log.f64 (+.f64 1 x))) (pow.f64 n 4))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 6) (pow.f64 n 6))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (log.f64 (+.f64 1 x))) (pow.f64 n 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 5) (log.f64 (+.f64 1 x))) (pow.f64 n 6))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)) (+.f64 (.f64 5/4 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 5) (pow.f64 n 5))) (/.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 5))))))))))) (+.f64 (.f64 5/4 (/.f64 (pow.f64 (log.f64 x) 5) (pow.f64 n 5))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 7/4 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 4)) (pow.f64 n 5))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 5)) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 2)) (pow.f64 n 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1 x)) 4)) (pow.f64 n 6))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 n 6))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 x) (pow.f64 (log.f64 (+.f64 1 x)) 3)) (pow.f64 n 4))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 1 x)) 3)) (pow.f64 n 5)))))))))))))
	35.3b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
✓	30.5b	(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
✓	30.5b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
	32.0b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (/.f64 (log.f64 x) n)))))
	48.7b	(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 3) (*.f64 (pow.f64 x 3) (pow.f64 n 3))))
	30.8b	(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))

Compiler

Compiled 133080 to 71434 computations (46.3% saved)

regimes4.6s (16.2%)

Accuracy

Total 11.8b remaining (95%)

Threshold costs 0b (0%)

Counts

365 → 5

Compiler

Compiled 71784 to 42776 computations (40.4% saved)

bsearch363.0ms (1.3%)

Steps

Iters	Range		Point
8	1.196556295007658e+64	6.2734430485397616e+66	1.2314344705355872e+64
9	1598.2710702697655	818070599511.0486	71783639.15478234
8	-3094287753.9496865	-4239217.084780569	-24500527.02708143
9	-5.740267908950426e+133	-1.0242283934320518e+126	-1.041250944500129e+126

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
12×	`+-commutative_binary64`
11×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	395
1	101	395
2	117	395
3	131	395
4	145	395
5	150	395
6	152	395
7	150	395

end477.0ms (1.7%)

Compiler: Compiled 1154 to 740 computations (35.9% saved)

Details

analyze1.5s (5.3%)

sample11.9s (42.3%)

simplify52.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0%)

series120.0ms (0.4%)

rewrite30.0ms (0.1%)

simplify195.0ms (0.7%)

prune349.0ms (1.2%)

localize12.0ms (0%)

series510.0ms (1.8%)

rewrite35.0ms (0.1%)

simplify184.0ms (0.7%)

prune415.0ms (1.5%)

localize11.0ms (0%)

series1.1s (3.9%)

rewrite35.0ms (0.1%)

simplify369.0ms (1.3%)

prune2.4s (8.5%)

localize16.0ms (0.1%)

series322.0ms (1.1%)

rewrite48.0ms (0.2%)

simplify200.0ms (0.7%)

prune3.0s (10.5%)

regimes4.6s (16.2%)

bsearch363.0ms (1.3%)

simplify15.0ms (0.1%)

end477.0ms (1.7%)

Profiling