Details

analyze1.2s (9.5%)

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%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample3.3s (26.9%)

Results

914.0ms	5453×	body	128	valid
697.0ms	1224×	body	1024	valid
452.0ms	858×	body	1024	invalid
394.0ms	941×	body	512	valid
276.0ms	1608×	body	128	invalid
203.0ms	510×	body	512	invalid
161.0ms	566×	body	256	valid
87.0ms	314×	body	256	invalid
49.0ms	72×	body	2048	valid

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

667×	`fma-def_binary64`
506×	`fma-neg_binary64`
500×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
403×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	48	39
2	103	39
3	222	39
4	455	39
5	975	39
6	2136	39
7	4390	39
8	4971	39

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

43.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	43.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))

Compiler

Compiled 114 to 72 computations (36.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
✓	0.5b	(*.f64 (sqrt.f64 2) t)
✓	11.9b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
✓	20.5b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))

series966.0ms (7.8%)

Counts

4 → 120

Calls

4 calls:

717.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
181.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))
64.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
3.0ms	(*.f64 (sqrt.f64 2) t)

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 90

Calls

4 calls:

14.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
8.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))
8.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
3.0ms	(*.f64 (sqrt.f64 2) t)

simplify385.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
343×	`associate-+r+_binary64`
286×	`associate-r_binary64`
228×	`associate-*r/_binary64`
219×	`associate-/l*_binary64`

Counts

210 → 258

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1626	31940
1	5000	31940
2	5024	31940

prune1.4s (11.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	249	9	258
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	9	259

Error

4.8b

Counts

259 → 9

Alt Table

Status	Error	Program
	43.7b	(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
	40.6b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	42.8b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (fma.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (neg.f64 (.f64 l l))) (fma.f64 (neg.f64 l) l (*.f64 l l)))))
▶	29.8b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (pow.f64 l 2) (.f64 t (.f64 (sqrt.f64 2) x))))))
	43.4b	(.f64 (.f64 (sqrt.f64 2) t) (/.f64 1 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))))
	36.7b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	43.4b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))

Compiler

Compiled 42265 to 31154 computations (26.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))
✓	7.4b	(/.f64 (*.f64 l l) x)
✓	9.0b	(/.f64 (*.f64 t t) x)
✓	25.6b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))

series132.0ms (1.1%)

Counts

4 → 116

Calls

4 calls:

75.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))
38.0ms	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))
10.0ms	(/.f64 (*.f64 t t) x)
9.0ms	(/.f64 (*.f64 l l) x)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

4 → 71

Calls

4 calls:

3.0ms	(/.f64 (*.f64 t t) x)
3.0ms	(/.f64 (*.f64 l l) x)
1.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))
0.0ms	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
236×	`times-frac_binary64`
236×	`fma-neg_binary64`
205×	`unswap-sqr_binary64`
201×	`sub-neg_binary64`

Counts

187 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	5324
1	771	4853
2	3429	4827
3	4916	4827
4	4975	4827

prune164.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	152	14	166

Error

0.4b

Counts

166 → 14

Alt Table

Status	Error	Program
	29.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x))))) (sqrt.f64 (sqrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x)))))))
	36.7b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	43.4b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	40.8b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x)))))
	29.8b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 l l) (/.f64 1 x)) (.f64 t t))))))
	43.7b	(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
	40.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (/.f64 l (sqrt.f64 x)) (/.f64 l (sqrt.f64 x))) (*.f64 t t))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (pow.f64 l 2) (.f64 t (.f64 (sqrt.f64 2) x))))))
	43.4b	(.f64 (.f64 (sqrt.f64 2) t) (/.f64 1 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))))
	34.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 l (sqrt.f64 2)) (.f64 2 (/.f64 (.f64 t t) (*.f64 l (sqrt.f64 2))))))))
▶	26.7b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (*.f64 t t))))))

Compiler

Compiled 7000 to 4207 computations (39.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (.f64 l (/.f64 l x)) (.f64 t t))
✓	3.8b	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))
	9.0b	(/.f64 (*.f64 t t) x)
✓	25.6b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)))))

series127.0ms (1%)

Counts

3 → 104

Calls

3 calls:

74.0ms

(sqrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t)))))

37.0ms

(fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t))))

16.0ms

(+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`

Counts

3 → 39

Calls

3 calls:

4.0ms

(+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t))

1.0ms

(sqrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t)))))

0.0ms

(fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t))))

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

573×	`cancel-sign-sub-inv_binary64`
313×	`fma-neg_binary64`
210×	`fma-def_binary64`
209×	`unswap-sqr_binary64`
195×	`sub-neg_binary64`

Counts

143 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	4956
1	715	4650
2	3020	4624
3	4939	4616
4	4995	4616

prune173.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	156	15	171

Error

0.4b

Counts

171 → 15

Alt Table

Status	Error	Program
	29.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (.f64 (sqrt.f64 (fma.f64 t t (/.f64 (.f64 l l) x))) (sqrt.f64 (fma.f64 t t (/.f64 (.f64 l l) x))))))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (pow.f64 l 2) (.f64 t (.f64 (sqrt.f64 2) x))))))
	36.9b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)))))) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (*.f64 t t))))))))
	43.4b	(.f64 (.f64 (sqrt.f64 2) t) (/.f64 1 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))))
	43.4b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	40.8b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x)))))
	29.8b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 l l) (/.f64 1 x)) (.f64 t t))))))
	43.7b	(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
	40.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (/.f64 l (sqrt.f64 x)) (/.f64 l (sqrt.f64 x))) (*.f64 t t))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
▶	26.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))) (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))))) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (*.f64 t t))))))))
	34.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	36.7b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 l (sqrt.f64 2)) (.f64 2 (/.f64 (.f64 t t) (*.f64 l (sqrt.f64 2))))))))

Compiler

Compiled 7245 to 4268 computations (41.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.8b	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))
	9.0b	(/.f64 (*.f64 t t) x)
✓	12.0b	(sqrt.f64 (.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))) (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (*.f64 t t)))))))
✓	26.4b	(cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)))))

series199.0ms (1.6%)

Counts

2 → 72

Calls

2 calls:

99.0ms

(cbrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t)))))

99.0ms

(sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t))))) (cbrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t)))))))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64`
9×	`sqrt-pow1_binary64`
7×	`pow1/3_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

2 → 34

Calls

2 calls:

4.0ms

(sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t))))) (cbrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t)))))))

1.0ms

(cbrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 l (/.f64 l x)) (*.f64 t t)))))

simplify198.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

305×	`associate-r_binary64`
255×	`fma-def_binary64`
220×	`*-commutative_binary64`
219×	`sub-neg_binary64`
218×	`times-frac_binary64`

Counts

106 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	9440
1	1140	9087
2	4454	8943
3	4988	8943
4	4983	8943

prune668.0ms (5.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	460	1	461
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	461	15	476

Error

0.4b

Counts

476 → 15

Alt Table

Status	Error	Program
	29.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (.f64 (sqrt.f64 (fma.f64 t t (/.f64 (.f64 l l) x))) (sqrt.f64 (fma.f64 t t (/.f64 (.f64 l l) x))))))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (pow.f64 l 2) (.f64 t (.f64 (sqrt.f64 2) x))))))
	43.4b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	40.8b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x)))))
	29.8b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 l l) (/.f64 1 x)) (.f64 t t))))))
	43.7b	(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
	40.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (/.f64 l (sqrt.f64 x)) (/.f64 l (sqrt.f64 x))) (*.f64 t t))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
✓	26.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))) (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))))) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (*.f64 t t))))))))
	43.4b	(.f64 (.f64 (sqrt.f64 2) t) (/.f64 1 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))))
	34.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	36.7b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 l (sqrt.f64 2)) (.f64 2 (/.f64 (.f64 t t) (*.f64 l (sqrt.f64 2))))))))
	27.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (cbrt.f64 (pow.f64 (fabs.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 l (/.f64 l x) (.f64 t t)))))) 3)) (sqrt.f64 (cbrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (*.f64 t t))))))))

Compiler

Compiled 44417 to 22533 computations (49.3% saved)

regimes2.3s (18.5%)

Accuracy

Total 8.3b remaining (91.2%)

Threshold costs 0b (0%)

Counts

156 → 5

Compiler

Compiled 34251 to 22475 computations (34.4% saved)

bsearch406.0ms (3.3%)

Steps

Iters	Range		Point
4	1.5288617482539403e+75	2.4106105061322775e+75	2.3742936810086067e+75
7	1.1750608672426329e-148	8.413816716285449e-147	1.1939357900903373e-148
7	1.3635884033584413e-220	5.270116407780659e-219	5.2112458239765657e-219
6	-3.5890833092905013e+140	-3.7674290287367425e+139	-3.048430524696057e+140

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	201
1	79	201
2	88	201
3	93	201
4	95	201
5	93	201

end301.0ms (2.4%)

Compiler: Compiled 781 to 510 computations (34.7% saved)

Details

analyze1.2s (9.5%)

sample3.3s (26.9%)

simplify53.0ms (0.4%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series966.0ms (7.8%)

rewrite39.0ms (0.3%)

simplify385.0ms (3.1%)

prune1.4s (11.5%)

localize13.0ms (0.1%)

series132.0ms (1.1%)

rewrite10.0ms (0.1%)

simplify131.0ms (1.1%)

prune164.0ms (1.3%)

localize13.0ms (0.1%)

series127.0ms (1%)

rewrite7.0ms (0.1%)

simplify122.0ms (1%)

prune173.0ms (1.4%)

localize17.0ms (0.1%)

series199.0ms (1.6%)

rewrite7.0ms (0.1%)

simplify198.0ms (1.6%)

prune668.0ms (5.4%)

regimes2.3s (18.5%)

bsearch406.0ms (3.3%)

simplify6.0ms (0.1%)

end301.0ms (2.4%)

Profiling