Details

analyze30.0ms (0.6%)

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)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	74×	body	1024	valid
7.0ms	135×	body	128	valid
4.0ms	28×	body	512	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify13.0ms (0.3%)

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

prune4.0ms (0.1%)

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

20.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	20.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize13.0ms (0.3%)

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))
2.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite250.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

19.8b

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:

36.0ms	(-.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)

series28.0ms (0.6%)

Error

20.1b

Counts

4 → 18

Calls

4 calls:

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

Compiler

Compiled 515 to 413 computations (19.8% saved)

simplify189.0ms (3.7%)

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

prune108.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	167	11	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	11	179

Error

19.8b

Counts

179 → 11

Alt Table

Status	Error	Program
	25.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 x 1)))))
	27.6b	(-.f64 (*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 x))) (/.f64 1 (sqrt.f64 (cbrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	38.8b	(-.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 3/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	29.0b	(/.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)))))))
	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	20.4b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))))
	30.8b	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))))
	20.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
	27.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))
	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))

Compiler

Compiled 1650 to 1283 computations (22.2% 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)))
2.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite155.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

19.8b

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

Compiler

Compiled 2057 to 1308 computations (36.4% saved)

series42.0ms (0.8%)

Error

19.7b

Counts

4 → 16

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
7.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
6.0ms	(sqrt.f64 (+.f64 1 x))
6.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 638 to 470 computations (26.3% saved)

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

549×	`div-sub_binary64`
502×	`associate-/r*_binary64`
440×	`associate-/l*_binary64`
190×	`*-commutative_binary64`
185×	`distribute-rgt-in_binary64`

Counts

130 → 84

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	2462
1	371	2130
2	1159	2122
3	3791	2120
4	5202	2120

prune54.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Error

0.2b

Counts

95 → 4

Alt Table

Status	Error	Program
	20.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	0.4b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	20.4b	(/.f64 1 (/.f64 (sqrt.f64 x) (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))

Compiler

Compiled 1256 to 827 computations (34.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite297.0ms (5.9%)

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:

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

series36.0ms (0.7%)

Error

0.1b

Counts

4 → 14

Calls

4 calls:

10.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
10.0ms	(/.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 476 to 377 computations (20.8% saved)

simplify193.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

468×	`associate-l_binary64`
441×	`associate-/r*_binary64`
439×	`associate-/l*_binary64`
346×	`associate-/l/_binary64`
297×	`associate-r_binary64`

Counts

181 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	4180
1	357	3547
2	1059	3531
3	3788	3531
4	4531	3531
5	4978	3531

prune143.0ms (2.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	151	9	160
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	153	11	164

Error

Counts

164 → 11

Alt Table

Status	Error	Program
	0.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	29.9b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 x 1/2))
▶	0.5b	(/.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	20.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
	1.2b	(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 3))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	0.9b	(/.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))))
	0.7b	(.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))))
	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)))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 2639 to 1834 computations (30.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
0.2b	(/.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
0.3b	(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))

rewrite391.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

73×	`sqrt-prod_binary64`
68×	`*-un-lft-identity_binary64`
64×	`add-exp-log_binary64`
52×	`sqrt-div_binary64`
48×	`add-sqr-sqrt_binary64`

Counts

4 → 218

Calls

4 calls:

26.0ms	(/.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
20.0ms	(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
16.0ms	(/.f64 1 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
7.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 7405 to 5024 computations (32.2% saved)

series35.0ms (0.7%)

Error

Counts

4 → 14

Calls

4 calls:

11.0ms	(/.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
8.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
6.0ms	(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
5.0ms	(/.f64 1 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))

Compiler

Compiled 586 to 454 computations (22.5% saved)

simplify238.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-/l*_binary64`
371×	`associate-*l/_binary64`
313×	`associate-*r/_binary64`
270×	`associate-/r/_binary64`
228×	`distribute-rgt-in_binary64`

Counts

232 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	5477
1	458	4658
2	1490	4425
3	4418	4396
4	4895	4396
5	4986	4396
6	4976	4396

prune188.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	187	11	198

Error

Counts

198 → 11

Alt Table

Status	Error	Program
	0.5b	(/.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	0.5b	(/.f64 (/.f64 1 (.f64 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	29.9b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 x 1/2))
	0.5b	(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	20.4b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
	1.2b	(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 3))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	0.9b	(/.f64 1 (+.f64 (.f64 (+.f64 x 1) (sqrt.f64 x)) (.f64 x (sqrt.f64 (+.f64 x 1)))))
	0.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 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))))
	0.7b	(.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))))

Compiler

Compiled 3123 to 2127 computations (31.9% saved)

regimes1.3s (25%)

Accuracy

Total 0.3b remaining (93.6%)

Threshold costs 0.3b (93.6%)

Compiler

Compiled 19269 to 14810 computations (23.1% saved)

simplify3.0ms (0.1%)

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)

sample1.2s (23.9%)

Algorithm

1×

intervals

Results

448.0ms	2256×	body	1024	valid
214.0ms	4195×	body	128	valid
147.0ms	1053×	body	512	valid
51.0ms	496×	body	256	valid

Compiler

Compiled 299 to 224 computations (25.1% 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

analyze30.0ms (0.6%)

sample36.0ms (0.7%)

simplify13.0ms (0.3%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite250.0ms (4.9%)

series28.0ms (0.6%)

simplify189.0ms (3.7%)

prune108.0ms (2.1%)

localize7.0ms (0.1%)

rewrite155.0ms (3.1%)

series42.0ms (0.8%)

simplify100.0ms (2%)

prune54.0ms (1.1%)

localize10.0ms (0.2%)

rewrite297.0ms (5.9%)

series36.0ms (0.7%)

simplify193.0ms (3.8%)

prune143.0ms (2.8%)

localize15.0ms (0.3%)

rewrite391.0ms (7.7%)

series35.0ms (0.7%)

simplify238.0ms (4.7%)

prune188.0ms (3.7%)

regimes1.3s (25%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.2s (23.9%)

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