Details

analyze588.0ms (4%)

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)

sample230.0ms (1.6%)

Algorithm

1×

intervals

Results

51.0ms	139×	body	512	valid
48.0ms	312×	body	128	nan
35.0ms	59×	body	1024	valid
6.0ms	25×	body	256	valid
4.0ms	33×	body	128	valid

Compiler

Compiled 75 to 59 computations (21.3% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-neg-in_binary64`
543×	`cancel-sign-sub-inv_binary64`
529×	`associate-+r-_binary64`
510×	`associate-+l-_binary64`
481×	`associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	54	50
2	166	50
3	881	50
4	3887	50
5	4925	50
6	5168	50

prune5.0ms (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

6.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.3b	(+.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 105 to 81 computations (22.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
4.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
5.0b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite177.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

44×	`sqrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64`
24×	`cancel-sign-sub-inv_binary64`
16×	`difference-of-squares_binary64`

Counts

4 → 96

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
7.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
6.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
6.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 2832 to 1780 computations (37.1% saved)

series39.0ms (0.3%)

Error

6.1b

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
8.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
8.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 1128 to 872 computations (22.7% saved)

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

459×	`cancel-sign-sub-inv_binary64`
323×	`associate-r_binary64`
299×	`associate-l_binary64`
208×	`times-frac_binary64`
160×	`associate-/r*_binary64`

Counts

108 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1688
1	424	1596
2	961	1596
3	3567	1588
4	4996	1588

prune136.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Error

0.8b

Counts

89 → 7

Alt Table

Status	Error	Program
▶	3.0b	(+.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)))
	6.4b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	5.2b	(+.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)))
	6.3b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 (-.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)))
	42.6b	(+.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)) (*.f64 (neg.f64 (fabs.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))))
	5.5b	(+.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))))
	5.6b	(+.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 2358 to 1582 computations (32.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
3.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
4.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
5.0b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite238.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

70×	`*-un-lft-identity_binary64`
49×	`sqrt-prod_binary64`
45×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`
19×	`distribute-lft-out_binary64`

Counts

4 → 117

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
6.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 3727 to 2446 computations (34.4% saved)

series42.0ms (0.3%)

Error

0.8b

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
8.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
8.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 1124 to 882 computations (21.5% saved)

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

363×	`cancel-sign-sub-inv_binary64`
344×	`div-sub_binary64`
259×	`associate-r_binary64`
244×	`associate-l_binary64`
172×	`distribute-neg-frac_binary64`

Counts

129 → 99

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	188	2089
1	413	1962
2	907	1962
3	3034	1956
4	4629	1950
5	4877	1950

prune102.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Error

0.2b

Counts

106 → 9

Alt Table

Status	Error	Program
	6.4b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	3.0b	(+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)) (-.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)))
	5.2b	(+.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)))
	6.3b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 (-.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)))
	42.6b	(+.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)) (*.f64 (neg.f64 (fabs.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))))
	5.5b	(+.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))))
	5.6b	(+.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)))
▶	1.5b	(+.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)))
	3.0b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (.f64 x (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.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 2658 to 1831 computations (31.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
3.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
4.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite304.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

100×	`*-un-lft-identity_binary64`
54×	`sqrt-prod_binary64`
46×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
34×	`distribute-lft-out_binary64`

Counts

4 → 138

Calls

4 calls:

9.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
6.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 4690 to 3180 computations (32.2% saved)

series40.0ms (0.3%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
11.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
6.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

Compiler

Compiled 1120 to 892 computations (20.4% saved)

simplify167.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-rgt-in_binary64`
267×	`cancel-sign-sub-inv_binary64`
256×	`div-sub_binary64`
195×	`associate-r_binary64`
190×	`distribute-rgt-neg-in_binary64`

Counts

150 → 110

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	178	2490
1	396	2328
2	846	2328
3	2490	2324
4	4625	2320
5	4936	2320
6	4995	2320
7	4812	2320

prune106.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Error

0.0b

Counts

119 → 8

Alt Table

Status	Error	Program
	1.6b	(+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)) (/.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)))
	5.2b	(+.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)))
	6.4b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (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 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 y)) 3) (.f64 y (sqrt.f64 y)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y))) (-.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.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)))
	42.6b	(+.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)) (*.f64 (neg.f64 (fabs.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))))
	5.5b	(+.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))))
▶	0.8b	(+.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)))
	3.0b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (.f64 x (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.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 2707 to 1889 computations (30.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.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)))
3.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

rewrite355.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

130×	`*-un-lft-identity_binary64`
59×	`sqrt-prod_binary64`
54×	`times-frac_binary64`
49×	`distribute-lft-out_binary64`
47×	`add-sqr-sqrt_binary64`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
7.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
6.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 5721 to 3982 computations (30.4% saved)

series33.0ms (0.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
6.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
6.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 1116 to 902 computations (19.2% saved)

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-/l*_binary64`
539×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
303×	`div-sub_binary64`
171×	`cancel-sign-sub-inv_binary64`

Counts

171 → 121

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2891
1	379	2694
2	785	2694
3	1946	2692
4	4884	2690
5	5228	2690

prune123.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	122	7	129

Error

0.0b

Counts

129 → 7

Alt Table

Status	Error	Program
	4.4b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	6.4b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (sqrt.f64 y))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	1.6b	(+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)) (/.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)))
	0.1b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	1.5b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 y)) 3) (.f64 y (sqrt.f64 y)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y))) (-.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.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)))
	42.6b	(+.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)) (*.f64 (neg.f64 (fabs.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))))
	3.0b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (.f64 x (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.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 2350 to 1643 computations (30.1% saved)

regimes4.4s (30.1%)

Accuracy

Total 0.0b remaining (56.2%)

Threshold costs 0.0b (56.2%)

Compiler

Compiled 152538 to 119546 computations (21.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	62
1	42	62
2	41	62

end24.0ms (0.2%)

Compiler: Compiled 129 to 105 computations (18.6% saved)

sample7.1s (48.1%)

Algorithm

1×

intervals

Results

1.8s	4374×	body	512	valid
1.3s	9708×	body	128	nan
977.0ms	1765×	body	1024	valid
286.0ms	1038×	body	256	valid
103.0ms	823×	body	128	valid

Compiler

Compiled 429 to 331 computations (22.8% saved)

Details

analyze588.0ms (4%)

sample230.0ms (1.6%)

simplify58.0ms (0.4%)

prune5.0ms (0%)

localize36.0ms (0.2%)

rewrite177.0ms (1.2%)

series39.0ms (0.3%)

simplify89.0ms (0.6%)

prune136.0ms (0.9%)

localize23.0ms (0.2%)

rewrite238.0ms (1.6%)

series42.0ms (0.3%)

simplify133.0ms (0.9%)

prune102.0ms (0.7%)

localize25.0ms (0.2%)

rewrite304.0ms (2.1%)

series40.0ms (0.3%)

simplify167.0ms (1.1%)

prune106.0ms (0.7%)

localize25.0ms (0.2%)

rewrite355.0ms (2.4%)

series33.0ms (0.2%)

simplify130.0ms (0.9%)

prune123.0ms (0.8%)

regimes4.4s (30.1%)

simplify4.0ms (0%)

end24.0ms (0.2%)

sample7.1s (48.1%)

Profiling