Details

analyze971.0ms (6.3%)

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)

sample446.0ms (2.9%)

Algorithm

1×

intervals

Results

101.0ms	126×	body	512	valid
85.0ms	289×	body	128	nan
81.0ms	67×	body	1024	valid
23.0ms	38×	body	256	valid
6.0ms	25×	body	128	valid

Compiler

Compiled 75 to 59 computations (21.3% saved)

simplify68.0ms (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

prune6.0ms (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

4.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	4.9b	(+.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)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
2.4b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite399.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

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:

15.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
15.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
14.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
13.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 2832 to 1780 computations (37.1% saved)

series92.0ms (0.6%)

Error

4.7b

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
22.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
18.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
15.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Compiler

Compiled 1128 to 872 computations (22.7% saved)

simplify145.0ms (0.9%)

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

prune181.0ms (1.2%)

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

0.0b

Counts

89 → 7

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 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 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (log.f64 (exp.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)))
	4.6b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	4.1b	(+.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)))

Compiler

Compiled 2364 to 1588 computations (32.8% saved)

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
2.4b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite606.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

16.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
14.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
13.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 3727 to 2446 computations (34.4% saved)

series74.0ms (0.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
17.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
17.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
13.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 1124 to 882 computations (21.5% saved)

simplify194.0ms (1.3%)

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

prune228.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Error

0.0b

Counts

106 → 8

Alt Table

Status	Error	Program
	4.6b	(+.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 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 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.3b	(+.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)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (log.f64 (exp.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)))
	4.1b	(+.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)))
	1.5b	(+.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 2584 to 1773 computations (31.4% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

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)))
2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite681.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
19.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
16.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
13.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

Compiler

Compiled 4690 to 3180 computations (32.2% saved)

series73.0ms (0.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
16.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
14.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 1120 to 892 computations (20.4% saved)

simplify277.0ms (1.8%)

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

prune248.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	111	7	118

Error

0.0b

Counts

118 → 7

Alt Table

Status	Error	Program
▶	0.6b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	4.9b	(+.f64 (+.f64 (+.f64 (log.f64 (exp.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)))
	4.3b	(+.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)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 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)))
	1.5b	(+.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 2569 to 1787 computations (30.4% saved)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

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)))
0.3b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
3.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite642.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

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:

20.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
20.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

Compiler

Compiled 5721 to 3982 computations (30.4% saved)

series33.0ms (0.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

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

Compiler

Compiled 1116 to 902 computations (19.2% saved)

simplify136.0ms (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

prune127.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Error

0.0b

Counts

128 → 7

Alt Table

Status	Error	Program
	0.6b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	4.9b	(+.f64 (+.f64 (+.f64 (log.f64 (exp.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)))
	4.3b	(+.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)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (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 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)))
	1.5b	(+.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 2312 to 1615 computations (30.1% saved)

regimes2.2s (14.2%)

Accuracy

Total 0.8b remaining (82%)

Threshold costs 0.8b (82%)

Compiler

Compiled 73438 to 56590 computations (22.9% saved)

simplify5.0ms (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	28	59
1	42	59
2	46	59
3	48	59
4	49	59
5	48	59

end24.0ms (0.2%)

Compiler: Compiled 123 to 99 computations (19.5% saved)

sample7.3s (47.7%)

Algorithm

1×

intervals

Results

1.8s	4407×	body	512	valid
1.3s	9438×	body	128	nan
941.0ms	1714×	body	1024	valid
344.0ms	1083×	body	256	valid
105.0ms	796×	body	128	valid

Compiler

Compiled 389 to 301 computations (22.6% saved)

Details

analyze971.0ms (6.3%)

sample446.0ms (2.9%)

simplify68.0ms (0.4%)

prune6.0ms (0%)

localize48.0ms (0.3%)

rewrite399.0ms (2.6%)

series92.0ms (0.6%)

simplify145.0ms (0.9%)

prune181.0ms (1.2%)

localize47.0ms (0.3%)

rewrite606.0ms (3.9%)

series74.0ms (0.5%)

simplify194.0ms (1.3%)

prune228.0ms (1.5%)

localize51.0ms (0.3%)

rewrite681.0ms (4.4%)

series73.0ms (0.5%)

simplify277.0ms (1.8%)

prune248.0ms (1.6%)

localize54.0ms (0.3%)

rewrite642.0ms (4.2%)

series33.0ms (0.2%)

simplify136.0ms (0.9%)

prune127.0ms (0.8%)

regimes2.2s (14.2%)

simplify5.0ms (0%)

end24.0ms (0.2%)

sample7.3s (47.7%)

Profiling