Details

analyze1.1s (8.7%)

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)

sample3.4s (26.5%)

Results

905.0ms	5584×	body	128	valid
747.0ms	1163×	body	1024	valid
504.0ms	896×	body	1024	invalid
386.0ms	898×	body	512	valid
264.0ms	1647×	body	128	invalid
203.0ms	500×	body	512	invalid
192.0ms	544×	body	256	valid
75.0ms	284×	body	256	invalid
45.0ms	67×	body	2048	valid

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify49.0ms (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

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

42.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	42.0b	(/.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))))

Compiler

Compiled 114 to 72 computations (36.8% saved)

localize19.0ms (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)
✓	11.8b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
✓	20.4b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))

series1.8s (14.2%)

Counts

4 → 120

Calls

4 calls:

1.4s	(/.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))))
325.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))
78.0ms	(-.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)

rewrite41.0ms (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:

13.0ms	(/.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))))
10.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.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)))
4.0ms	(*.f64 (sqrt.f64 2) t)

simplify392.0ms (3%)

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 (10.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	250	8	258
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	8	259

Error

6.0b

Counts

259 → 8

Alt Table

Status	Error	Program
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)) l)))
	40.6b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
	42.2b	(/.f64 (/.f64 (.f64 (sqrt.f64 2) t) (fabs.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l)))))
	36.5b	(/.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)))
	47.6b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	41.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	36.9b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
▶	31.6b	(/.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))))))

Compiler

Compiled 42207 to 31122 computations (26.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))
✓	5.3b	(/.f64 (*.f64 l l) x)
✓	9.4b	(/.f64 (*.f64 t t) x)
✓	28.7b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))

series190.0ms (1.5%)

Counts

4 → 116

Calls

4 calls:

124.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))
44.0ms	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))
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 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))))

simplify139.0ms (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

prune177.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	150	7	157
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	152	13	165

Error

0.3b

Counts

165 → 13

Alt Table

Status	Error	Program
	42.2b	(/.f64 (/.f64 (.f64 (sqrt.f64 2) t) (fabs.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l)))))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (exp.f64 (log.f64 (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	36.5b	(/.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)))
	54.2b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 l (sqrt.f64 2)) (.f64 2 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))))))) (.f64 (/.f64 (.f64 t t) (*.f64 l (sqrt.f64 2))) (sqrt.f64 x))))
▶	29.5b	(/.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))))))
	31.7b	(/.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)))))))
	47.6b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	31.8b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x)))))))
	41.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	36.9b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	36.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (fma.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x))) (.f64 (/.f64 (.f64 l l) (.f64 x t)) (sqrt.f64 (/.f64 1 (+.f64 2 (/.f64 4 x))))))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)) l)))
	54.7b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))

Compiler

Compiled 6990 to 4213 computations (39.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (.f64 l (/.f64 l x)) (.f64 t t))
✓	3.0b	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t))))
	9.4b	(/.f64 (*.f64 t t) x)
✓	28.7b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 l (/.f64 l x)) (.f64 t t)))))

series201.0ms (1.6%)

Counts

3 → 104

Calls

3 calls:

131.0ms

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

52.0ms

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

19.0ms

(+.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))))

simplify127.0ms (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

prune152.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	157	13	170

Error

0.3b

Counts

170 → 13

Alt Table

Status	Error	Program
	42.2b	(/.f64 (/.f64 (.f64 (sqrt.f64 2) t) (fabs.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l)))))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (exp.f64 (log.f64 (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	36.5b	(/.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)))
	54.2b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 l (sqrt.f64 2)) (.f64 2 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))))))) (.f64 (/.f64 (.f64 t t) (*.f64 l (sqrt.f64 2))) (sqrt.f64 x))))
✓	29.5b	(/.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))))))
▶	31.7b	(/.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)))))))
	47.6b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	31.8b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x)))))))
	41.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	36.9b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	36.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (fma.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x))) (.f64 (/.f64 (.f64 l l) (.f64 x t)) (sqrt.f64 (/.f64 1 (+.f64 2 (/.f64 4 x))))))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)) l)))
	54.7b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))

Compiler

Compiled 7008 to 4183 computations (40.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (*.f64 t t) (/.f64 4 x)))
	5.3b	(/.f64 (*.f64 l l) x)
✓	9.5b	(.f64 (.f64 t t) (/.f64 4 x))
✓	28.7b	(sqrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (*.f64 t t) (/.f64 4 x))))

series177.0ms (1.4%)

Counts

3 → 92

Calls

3 calls:

121.0ms	(sqrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (*.f64 t t) (/.f64 4 x))))
44.0ms	(fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (*.f64 t t) (/.f64 4 x)))
12.0ms	(.f64 (.f64 t t) (/.f64 4 x))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
15×	`add-exp-log_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 (.f64 t t) (/.f64 4 x))
1.0ms	(sqrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (*.f64 t t) (/.f64 4 x))))
0.0ms	(fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (*.f64 t t) (/.f64 4 x)))

simplify167.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

529×	`cancel-sign-sub-inv_binary64`
282×	`associate-l_binary64`
230×	`fma-neg_binary64`
222×	`associate-r_binary64`
212×	`unswap-sqr_binary64`

Counts

154 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	5145
1	793	4785
2	3452	4759
3	4927	4759
4	4993	4759
5	4961	4759

prune344.0ms (2.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	320	0	320
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	320	13	333

Error

0.3b

Counts

333 → 13

Alt Table

Status	Error	Program
	42.2b	(/.f64 (/.f64 (.f64 (sqrt.f64 2) t) (fabs.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l)))))
	36.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (exp.f64 (log.f64 (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	36.5b	(/.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)))
	54.2b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 l (sqrt.f64 2)) (.f64 2 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))))))) (.f64 (/.f64 (.f64 t t) (*.f64 l (sqrt.f64 2))) (sqrt.f64 x))))
✓	29.5b	(/.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))))))
✓	31.7b	(/.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)))))))
	47.6b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	31.8b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 2 (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (.f64 t t) (/.f64 4 x)))))))
	41.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	36.9b	(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2)))
	36.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (fma.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x))) (.f64 (/.f64 (.f64 l l) (.f64 x t)) (sqrt.f64 (/.f64 1 (+.f64 2 (/.f64 4 x))))))))
	63.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) -1)) l)))
	54.7b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))

Compiler

Compiled 19464 to 10690 computations (45.1% saved)

regimes2.1s (16.1%)

Accuracy

Total 7.1b remaining (93%)

Threshold costs 0b (0%)

Counts

124 → 6

Compiler

Compiled 30067 to 20711 computations (31.1% saved)

bsearch481.0ms (3.7%)

Steps

Iters	Range		Point
4	5.284867436716308e+68	9.559148402629464e+68	9.321129763170555e+68
6	7.127070131387734e-165	7.913614931694178e-164	7.245697021475806e-165
2	-1.2591710958607499e-304	1.5083522559553915e-306	4.33667404189508e-308
5	-7.282500666923012e-124	-3.2078974108410335e-124	-3.244214081833893e-124
9	-7.144875832763761e+135	-1.8351239814896356e+127	-1.1296845245651568e+129

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`+-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	72	274
1	99	274
2	110	274
3	116	274
4	118	274
5	116	274

end299.0ms (2.3%)

Compiler: Compiled 787 to 527 computations (33% saved)

Details

analyze1.1s (8.7%)

sample3.4s (26.5%)

simplify49.0ms (0.4%)

prune3.0ms (0%)

localize19.0ms (0.1%)

series1.8s (14.2%)

rewrite41.0ms (0.3%)

simplify392.0ms (3%)

prune1.4s (10.9%)

localize13.0ms (0.1%)

series190.0ms (1.5%)

rewrite11.0ms (0.1%)

simplify139.0ms (1.1%)

prune177.0ms (1.4%)

localize15.0ms (0.1%)

series201.0ms (1.6%)

rewrite7.0ms (0.1%)

simplify127.0ms (1%)

prune152.0ms (1.2%)

localize16.0ms (0.1%)

series177.0ms (1.4%)

rewrite11.0ms (0.1%)

simplify167.0ms (1.3%)

prune344.0ms (2.7%)

regimes2.1s (16.1%)

bsearch481.0ms (3.7%)

simplify8.0ms (0.1%)

end299.0ms (2.3%)

Profiling