Details

analyze1.0s (11.3%)

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%	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)

sample138.0ms (1.6%)

Algorithm

1×

intervals

Results

18.0ms	170×	body	128	valid
15.0ms	40×	body	1024	valid
8.0ms	24×	body	1024	nan
7.0ms	27×	body	512	valid
5.0ms	65×	body	128	nan
3.0ms	14×	body	512	nan
3.0ms	16×	body	256	valid
1.0ms	3×	body	2048	valid
1.0ms	6×	body	256	nan

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify52.0ms (0.6%)

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

prune3.0ms (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

46.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	46.1b	(/.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 (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (*.f64 l l)))
✓	0.5b	(*.f64 (sqrt.f64 2) t)
✓	14.4b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
✓	21.8b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))

series457.0ms (5.2%)

Counts

4 → 120

Calls

4 calls:

323.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))
77.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
54.0ms	(.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (*.f64 l l)))
3.0ms	(*.f64 (sqrt.f64 2) t)

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
47×	`add-sqr-sqrt_binary64`
40×	`associate-l_binary64`
29×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`

Counts

4 → 116

Calls

4 calls:

17.0ms	(.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (*.f64 l l)))
9.0ms	(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))
4.0ms	(*.f64 (sqrt.f64 2) t)

simplify282.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
688×	`times-frac_binary64`
268×	`*-commutative_binary64`
198×	`+-commutative_binary64`
156×	`associate-+r+_binary64`

Counts

236 → 283

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	798	16084
1	2470	15103
2	4976	15103
3	5003	15103

prune401.0ms (4.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	273	10	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	10	284

Error

5.9b

Counts

284 → 10

Alt Table

Status	Error	Program
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 x 1)) (/.f64 2 (-.f64 x 1))))))
	62.6b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (+.f64 1 x) (pow.f64 l 2)) (-.f64 x 1)) (*.f64 l l))))
	50.1b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (fma.f64 2 (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x 1) (-.f64 x 1))) (*.f64 l l))) 3)))
	35.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))))
▶	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)))))
	62.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1)) l))
	38.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 x 1)) (/.f64 2 (-.f64 x 1)))))))
	45.5b	(/.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)))))
	46.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (cbrt.f64 (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 21336 to 14522 computations (31.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.2b	(fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
✓	7.3b	(/.f64 (*.f64 t t) x)
✓	7.4b	(/.f64 (*.f64 l l) x)
✓	29.0b	(sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))

series187.0ms (2.1%)

Counts

4 → 116

Calls

4 calls:

123.0ms	(sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))
41.0ms	(fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
12.0ms	(/.f64 (*.f64 l l) x)
10.0ms	(/.f64 (*.f64 t t) x)

rewrite11.0ms (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 l l) x)
3.0ms	(/.f64 (*.f64 t t) x)
1.0ms	(sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))
0.0ms	(fma.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))

simplify142.0ms (1.6%)

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 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	5342
1	771	4857
2	3429	4831
3	4916	4831
4	4975	4831

prune177.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	148	8	156
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	152	14	166

Error

0.6b

Counts

166 → 14

Alt Table

Status	Error	Program
	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	40.6b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x))))) 3)))
	34.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)))))) (sqrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x))))))))
	62.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1)) l))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x)))))
	38.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 x 1)) (/.f64 2 (-.f64 x 1)))))))
	46.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	54.7b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	62.6b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (+.f64 1 x) (pow.f64 l 2)) (-.f64 x 1)) (*.f64 l l))))
	55.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))
	35.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))))
	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (/.f64 (.f64 l l) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
▶	30.7b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)))))

Compiler

Compiled 7034 to 4192 computations (40.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (.f64 l (/.f64 l x)) (.f64 t t))
✓	5.2b	(fma.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
	7.3b	(/.f64 (*.f64 t t) x)
✓	29.0b	(sqrt.f64 (fma.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))

series181.0ms (2%)

Counts

3 → 104

Calls

3 calls:

120.0ms

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

42.0ms

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

18.0ms

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

0.0ms

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

simplify139.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

143 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	4972
1	716	4654
2	3020	4628
3	4939	4620
4	4995	4620

prune159.0ms (1.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	156	14	170

Error

0.6b

Counts

170 → 14

Alt Table

Status	Error	Program
	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	40.6b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x))))) 3)))
	34.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)))))) (sqrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x))))))))
	62.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1)) l))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x)))))
	38.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 x 1)) (/.f64 2 (-.f64 x 1)))))))
	46.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	54.7b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	62.6b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (+.f64 1 x) (pow.f64 l 2)) (-.f64 x 1)) (*.f64 l l))))
	55.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))
	35.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))))
▶	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (/.f64 (.f64 l l) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
✓	30.7b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)))))

Compiler

Compiled 7052 to 4161 computations (41% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (.f64 l l) (.f64 (cbrt.f64 x) (cbrt.f64 x)))
✓	5.2b	(fma.f64 2 (+.f64 (/.f64 (/.f64 (.f64 l l) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))
	7.3b	(/.f64 (*.f64 t t) x)
✓	29.0b	(sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (/.f64 (.f64 l l) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x))))

series627.0ms (7.1%)

Counts

3 → 92

Calls

3 calls:

448.0ms

(/.f64 (*.f64 l l) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))

120.0ms

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

58.0ms

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

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`

Counts

3 → 48

Calls

3 calls:

6.0ms

(/.f64 (*.f64 l l) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))

1.0ms

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

0.0ms

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

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

533×	`cancel-sign-sub-inv_binary64`
238×	`times-frac_binary64`
222×	`unswap-sqr_binary64`
196×	`sub-neg_binary64`
190×	`fma-neg_binary64`

Counts

140 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	5737
1	754	4783
2	3172	4747
3	5005	4747

prune160.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	159	14	173

Error

0.6b

Counts

173 → 14

Alt Table

Status	Error	Program
	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	40.6b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x))))) 3)))
	34.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)))))) (sqrt.f64 (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x))))))))
	62.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1)) l))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x)))))
	38.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 x 1)) (/.f64 2 (-.f64 x 1)))))))
	46.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	54.7b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	62.6b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (+.f64 1 x) (pow.f64 l 2)) (-.f64 x 1)) (*.f64 l l))))
	55.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))
	35.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))))
✓	33.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (/.f64 (/.f64 (.f64 l l) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
✓	30.7b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)) (.f64 4 (/.f64 (*.f64 t t) x)))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)))))

Compiler

Compiled 7372 to 4007 computations (45.6% saved)

regimes1.5s (17.4%)

Accuracy

Total 8.1b remaining (94.5%)

Threshold costs 0b (0%)

Counts

91 → 5

Compiler

Compiled 18995 to 12894 computations (32.1% saved)

bsearch442.0ms (5%)

Steps

Iters	Range		Point
10	1.0003185904496398e+63	2.052906851708193e+73	2.0292776462584588e+73
9	6.422196563959766e-292	2.800254765201552e-284	6.521773969155584e-292
9	-6.283868781931878e-186	-4.423407596913496e-194	-4.4958997893101247e-194
6	-2.5152761515208302e+154	-2.2313828418015663e+153	-2.277794094311941e+153

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	204
1	73	204
2	84	204
3	90	204
4	92	204
5	90	204

end2.0ms (0%)

Compiler: Compiled 138 to 91 computations (34.1% saved)

sample2.5s (28.5%)

Algorithm

1×

intervals

Results

496.0ms	5352×	body	128	valid
384.0ms	1106×	body	1024	valid
316.0ms	837×	body	1024	nan
229.0ms	894×	body	512	valid
143.0ms	1592×	body	128	nan
129.0ms	505×	body	512	nan
123.0ms	564×	body	256	valid
40.0ms	248×	body	256	nan
40.0ms	84×	body	2048	valid

Compiler

Compiled 620 to 403 computations (35% saved)

Details

analyze1.0s (11.3%)

sample138.0ms (1.6%)

simplify52.0ms (0.6%)

prune3.0ms (0%)

localize14.0ms (0.2%)

series457.0ms (5.2%)

rewrite47.0ms (0.5%)

simplify282.0ms (3.2%)

prune401.0ms (4.5%)

localize13.0ms (0.1%)

series187.0ms (2.1%)

rewrite11.0ms (0.1%)

simplify142.0ms (1.6%)

prune177.0ms (2%)

localize13.0ms (0.1%)

series181.0ms (2%)

rewrite7.0ms (0.1%)

simplify139.0ms (1.6%)

prune159.0ms (1.8%)

localize16.0ms (0.2%)

series627.0ms (7.1%)

rewrite10.0ms (0.1%)

simplify108.0ms (1.2%)

prune160.0ms (1.8%)

regimes1.5s (17.4%)

bsearch442.0ms (5%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample2.5s (28.5%)

Profiling