Details

analyze23.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	69×	body	1024	valid
7.0ms	146×	body	128	valid
3.0ms	24×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

19.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 1 (sqrt.f64 x))
3.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite384.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

19.0b

Rules

127×	`add-sqr-sqrt_binary64`
118×	`times-frac_binary64`
117×	`*-un-lft-identity_binary64`
76×	`sqrt-prod_binary64`
56×	`add-cube-cbrt_binary64`

Counts

4 → 189

Calls

4 calls:

29.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(/.f64 1 (sqrt.f64 x))
2.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 2812 to 2163 computations (23.1% saved)

series29.0ms (0.4%)

Error

19.3b

Counts

4 → 18

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 x 1))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
6.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 515 to 413 computations (19.8% saved)

simplify189.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

429×	`cancel-sign-sub-inv_binary64`
319×	`distribute-rgt-in_binary64`
271×	`distribute-lft-in_binary64`
262×	`associate-/r/_binary64`
256×	`associate-/l/_binary64`

Counts

207 → 178

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	164	3319
1	357	3234
2	775	3220
3	2134	3208
4	4347	3139
5	4867	3139
6	4870	3139

prune90.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	168	10	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	10	179

Error

19.0b

Counts

179 → 10

Alt Table

Status	Error	Program
▶	19.5b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	25.1b	(-.f64 (*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	61.7b	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
	30.2b	(/.f64 (+.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
	26.0b	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 (fabs.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
	21.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	19.6b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
	28.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 1 x))))))
	25.9b	(-.f64 (*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 x))) (/.f64 1 (sqrt.f64 (cbrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	27.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))

Compiler

Compiled 1606 to 1245 computations (22.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
3.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite174.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

18.7b

Rules

48×	`add-sqr-sqrt_binary64`
42×	`sqrt-prod_binary64`
38×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`

Counts

4 → 114

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
8.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
7.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
2.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 2057 to 1308 computations (36.4% saved)

series48.0ms (0.6%)

Error

18.9b

Counts

4 → 18

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
11.0ms	(sqrt.f64 (+.f64 1 x))
8.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
7.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 706 to 522 computations (26.1% saved)

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

538×	`div-sub_binary64`
529×	`associate-/r*_binary64`
442×	`associate-/l*_binary64`
193×	`*-commutative_binary64`
185×	`distribute-rgt-in_binary64`

Counts

132 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2491
1	399	2159
2	1224	2151
3	3959	2149
4	5333	2149

prune60.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	91	5	96

Error

0.3b

Counts

96 → 5

Alt Table

Status	Error	Program
	21.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	19.2b	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (.f64 (+.f64 1 x) (sqrt.f64 x)) (.f64 x (sqrt.f64 (+.f64 1 x)))))
	28.1b	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 (sqrt.f64 x) 3)) (+.f64 (+.f64 x (.f64 x x)) (.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 1 x)))))
	19.5b	(*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
▶	0.4b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 1372 to 898 computations (34.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

rewrite255.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

118×	`*-un-lft-identity_binary64`
78×	`times-frac_binary64`
55×	`sqrt-prod_binary64`
49×	`add-sqr-sqrt_binary64`
45×	`distribute-lft-out_binary64`

Counts

4 → 167

Calls

4 calls:

17.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
6.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 3644 to 2502 computations (31.3% saved)

series35.0ms (0.4%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

12.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
7.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
5.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
5.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 503 to 398 computations (20.9% saved)

simplify174.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

468×	`associate-l_binary64`
453×	`associate-/r*_binary64`
439×	`associate-/l*_binary64`
347×	`associate-/l/_binary64`
297×	`associate-r_binary64`

Counts

182 → 161

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	164	4199
1	377	3566
2	1097	3550
3	3873	3546
4	4572	3536
5	5041	3536

prune131.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	153	8	161
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	157	9	166

Error

0.0b

Counts

166 → 9

Alt Table

Status	Error	Program
	0.7b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
	21.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	0.8b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 x)))))
▶	0.5b	(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
	0.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
	1.5b	(/.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	0.6b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
	33.0b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (-.f64 (+.f64 x 1/2) (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x))))
	0.7b	(/.f64 1 (+.f64 (.f64 (+.f64 x 1) (sqrt.f64 x)) (.f64 x (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 2578 to 1782 computations (30.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
0.2b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
0.2b	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
0.3b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x))

rewrite1.7s (20.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1617×	`times-frac_binary64`
1211×	`sqrt-prod_binary64`
1192×	`*-un-lft-identity_binary64`
1112×	`add-sqr-sqrt_binary64`
562×	`add-cube-cbrt_binary64`

Counts

4 → 978

Calls

4 calls:

453.0ms	(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
17.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x))
10.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 26288 to 18525 computations (29.5% saved)

series37.0ms (0.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
9.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x))
9.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 690 to 556 computations (19.4% saved)

simplify1.5s (18.1%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-*r/_binary64`
487×	`associate-*l/_binary64`
454×	`distribute-rgt-in_binary64`
274×	`*-commutative_binary64`
243×	`associate-/l/_binary64`

Counts

990 → 966

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	343	47489
1	982	42942
2	3071	41878
3	3308	41722
4	3978	41722
5	4759	41722
6	5121	41722

prune590.0ms (7.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	964	2	966
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	965	10	975

Error

Counts

975 → 10

Alt Table

Status	Error	Program
	0.7b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
	0.6b	(.f64 (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
	21.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	0.9b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
	0.6b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
	0.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))
	1.5b	(/.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	33.0b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (-.f64 (+.f64 x 1/2) (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x))))
	0.7b	(/.f64 1 (+.f64 (.f64 (+.f64 x 1) (sqrt.f64 x)) (.f64 x (sqrt.f64 (+.f64 x 1)))))
	0.5b	(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 13603 to 9330 computations (31.4% saved)

regimes1.1s (13.2%)

Accuracy

Total 0.3b remaining (90.8%)

Threshold costs 0.3b (90.8%)

Compiler

Compiled 22673 to 17230 computations (24% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	17	28
2	16	28

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample1.4s (18%)

Algorithm

1×

intervals

Results

544.0ms	2223×	body	1024	valid
216.0ms	4257×	body	128	valid
213.0ms	1025×	body	512	valid
52.0ms	495×	body	256	valid

Compiler

Compiled 344 to 251 computations (27% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17

Details

analyze23.0ms (0.3%)

sample33.0ms (0.4%)

simplify14.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite384.0ms (4.8%)

series29.0ms (0.4%)

simplify189.0ms (2.3%)

prune90.0ms (1.1%)

localize7.0ms (0.1%)

rewrite174.0ms (2.2%)

series48.0ms (0.6%)

simplify105.0ms (1.3%)

prune60.0ms (0.7%)

localize9.0ms (0.1%)

rewrite255.0ms (3.2%)

series35.0ms (0.4%)

simplify174.0ms (2.2%)

prune131.0ms (1.6%)

localize11.0ms (0.1%)

rewrite1.7s (20.7%)

series37.0ms (0.5%)

simplify1.5s (18.1%)

prune590.0ms (7.3%)

regimes1.1s (13.2%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.4s (18%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	27	17
4	34	17
5	50	17
6	72	17
7	81	17
8	93	17
9	95	17
10	89	17
11	75	17