Details

analyze370.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

Compiler

Compiled 36 to 28 computations (22.2% saved)

sample253.0ms (1.9%)

Algorithm

1×

intervals

Symmetry

(sort x y z t)

Results

52.0ms	138×	body	512	valid
43.0ms	334×	body	128	nan
36.0ms	58×	body	1024	valid
8.0ms	32×	body	256	valid
4.0ms	28×	body	128	valid

Compiler

Compiled 75 to 59 computations (21.3% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
529×	`associate-+r-_binary64`
510×	`associate-+l-_binary64`
481×	`associate--r+_binary64`
355×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	54	50
2	166	50
3	893	50
4	4070	50
5	4939	50
6	5040	50

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

4.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	4.3b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 136 to 100 computations (26.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	1.3b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	4.0b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
✓	5.8b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series68.0ms (0.5%)

Counts

4 → 4

Calls

4 calls:

21.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
17.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
16.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
14.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite58.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

240×	`sqrt-prod_binary64`
208×	`*-un-lft-identity_binary64`
168×	`prod-diff_binary64`
156×	`add-sqr-sqrt_binary64`
124×	`add-cube-cbrt_binary64`

Counts

4 → 300

Calls

4 calls:

12.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
8.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
8.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
7.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

simplify305.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

784×	`times-frac_binary64`
760×	`fma-neg_binary64`
360×	`exp-prod_binary64`
312×	`*-commutative_binary64`
308×	`fabs-mul_binary64`

Counts

304 → 253

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	9256
1	583	4524
2	1602	3684
3	3485	3684
4	4297	3684
5	4453	3684
6	4714	3684
7	4774	3684
8	5084	3684

prune568.0ms (4.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	246	7	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	7	254

Error

0.5b

Counts

254 → 7

Alt Table

Status	Error	Program
	4.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	58.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 t 1))) (exp.f64 (sqrt.f64 t)))))
▶	2.5b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.6b	(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	3.4b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.3b	(+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	3.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 12395 to 7006 computations (43.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.5b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	4.0b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	5.8b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series13.0ms (0.1%)

Counts

1 → 1

Calls

1 calls:

13.0ms

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

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
16×	`sqrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`

Counts

1 → 47

Calls

1 calls:

11.0ms

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

837×	`div-sub_binary64`
502×	`associate-+l+_binary64`
423×	`associate-+r+_binary64`
330×	`associate-+l-_binary64`
310×	`times-frac_binary64`

Counts

48 → 45

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	845
1	100	785
2	197	785
3	383	785
4	949	785
5	2306	785
6	4846	785
7	5785	785

prune470.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	235	7	242

Error

0.1b

Counts

242 → 7

Alt Table

Status	Error	Program
▶	1.4b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.3b	(+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	58.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 t 1))) (exp.f64 (sqrt.f64 t)))))
	4.6b	(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	1.5b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.6b	(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 11698 to 7000 computations (40.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
	0.5b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	5.8b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series12.0ms (0.1%)

Counts

1 → 1

Calls

1 calls:

12.0ms

(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
16×	`sqrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`

Counts

1 → 47

Calls

1 calls:

16.0ms

(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

837×	`div-sub_binary64`
502×	`associate-+l+_binary64`
423×	`associate-+r+_binary64`
330×	`associate-+l-_binary64`
310×	`times-frac_binary64`

Counts

48 → 45

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	845
1	100	785
2	197	785
3	383	785
4	949	785
5	2306	785
6	4846	785
7	5785	785

prune501.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	217	7	224

Error

0.0b

Counts

224 → 7

Alt Table

Status	Error	Program
	4.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	58.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 t 1))) (exp.f64 (sqrt.f64 t)))))
	4.6b	(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.3b	(+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	0.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	1.5b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.6b	(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 10905 to 6904 computations (36.7% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
✓	0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
	0.5b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series12.0ms (0.1%)

Counts

1 → 1

Calls

1 calls:

12.0ms

(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
16×	`sqrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`

Counts

1 → 47

Calls

1 calls:

11.0ms

(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

837×	`div-sub_binary64`
502×	`associate-+l+_binary64`
423×	`associate-+r+_binary64`
330×	`associate-+l-_binary64`
310×	`times-frac_binary64`

Counts

48 → 45

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	845
1	100	785
2	197	785
3	383	785
4	949	785
5	2306	785
6	4846	785
7	5785	785

prune532.0ms (3.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	198	7	205

Error

0.0b

Counts

205 → 7

Alt Table

Status	Error	Program
	4.1b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	58.0b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 t 1))) (exp.f64 (sqrt.f64 t)))))
	0.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	0.3b	(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.6b	(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	0.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.3b	(+.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 9748 to 6509 computations (33.2% saved)

regimes2.6s (19.1%)

Accuracy

Total 0.3b remaining (85.5%)

Threshold costs 0.3b (85.5%)

Counts

156 → 1

Compiler

Compiled 97886 to 70397 computations (28.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	79
1	44	79
2	48	79
3	50	79
4	51	79
5	50	79

end22.0ms (0.2%)

Compiler: Compiled 159 to 126 computations (20.8% saved)

sample7.3s (53.8%)

Algorithm

1×

intervals

Results

1.8s	4373×	body	512	valid
1.4s	9768×	body	128	nan
1.0s	1700×	body	1024	valid
270.0ms	1045×	body	256	valid
146.0ms	882×	body	128	valid

Compiler

Compiled 390 to 309 computations (20.8% saved)

Details

analyze370.0ms (2.7%)

sample253.0ms (1.9%)

simplify48.0ms (0.4%)

prune4.0ms (0%)

localize20.0ms (0.1%)

series68.0ms (0.5%)

rewrite58.0ms (0.4%)

simplify305.0ms (2.2%)

prune568.0ms (4.2%)

localize25.0ms (0.2%)

series13.0ms (0.1%)

rewrite15.0ms (0.1%)

simplify96.0ms (0.7%)

prune470.0ms (3.5%)

localize25.0ms (0.2%)

series12.0ms (0.1%)

rewrite19.0ms (0.1%)

simplify102.0ms (0.7%)

prune501.0ms (3.7%)

localize29.0ms (0.2%)

series12.0ms (0.1%)

rewrite13.0ms (0.1%)

simplify97.0ms (0.7%)

prune532.0ms (3.9%)

regimes2.6s (19.1%)

simplify4.0ms (0%)

end22.0ms (0.2%)

sample7.3s (53.8%)

Profiling