Details

analyze637.0ms (4.6%)

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
0%	99.8%	0.2%	5
0%	74.9%	25.1%	6
0%	56.1%	43.9%	7
0%	42.1%	57.9%	8
0%	31.6%	68.4%	9
0%	26.3%	73.7%	10
0%	21.9%	78.1%	11
0%	18.3%	81.7%	12
0%	15.2%	84.8%	13
0%	13.7%	86.3%	14

Compiler

Compiled 36 to 28 computations (22.2% saved)

sample7.1s (51.2%)

Symmetry

(sort x y z t)

Results

2.7s	4643×	body	512	valid
2.2s	9983×	body	128	invalid
1.4s	1765×	body	1024	valid
460.0ms	1018×	body	256	valid
180.0ms	830×	body	128	valid

Compiler

Compiled 71 to 55 computations (22.5% saved)

simplify57.0ms (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

6.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.8b	(+.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)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	4.1b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
✓	5.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series67.0ms (0.5%)

Counts

4 → 4

Calls

4 calls:

19.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
18.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
15.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
15.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite57.0ms (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:

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

simplify290.0ms (2.1%)

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

prune643.0ms (4.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	245	8	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	246	8	254

Error

0.7b

Counts

254 → 8

Alt Table

Status	Error	Program
	20.2b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (cbrt.f64 (sqrt.f64 (+.f64 y 1)))) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	6.8b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	5.3b	(+.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)))
	5.9b	(+.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)))
▶	3.1b	(+.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)))
	6.8b	(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.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)))
	6.8b	(+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.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 12533 to 7106 computations (43.3% saved)

localize30.0ms (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)))
	2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	4.1b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	5.9b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series14.0ms (0.1%)

Counts

1 → 1

Calls

1 calls:

14.0ms

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

rewrite11.0ms (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:

8.0ms

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

simplify105.0ms (0.8%)

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

prune577.0ms (4.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	236	7	243

Error

0.2b

Counts

243 → 7

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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	5.3b	(+.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)))
	6.8b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	20.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (fma.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (cbrt.f64 (sqrt.f64 (+.f64 y 1)))) (cbrt.f64 (sqrt.f64 (+.f64 y 1))) (neg.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	1.9b	(+.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)))
	3.1b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (fma.f64 x (sqrt.f64 x) (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.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)))
	6.8b	(+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.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 11768 to 7046 computations (40.1% saved)

localize24.0ms (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)))
	2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	5.9b	(-.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 y)) (sqrt.f64 y)))

rewrite14.0ms (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:

8.0ms

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

simplify105.0ms (0.8%)

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

prune451.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	216	8	224

Error

0.0b

Counts

224 → 8

Alt Table

Status	Error	Program
	6.8b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	0.4b	(+.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)))
	6.3b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	5.3b	(+.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)))
	1.9b	(+.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 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	6.8b	(+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.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)))
	2.0b	(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.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)))
	1.9b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (fma.f64 x (sqrt.f64 x) (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.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 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 11079 to 7030 computations (36.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
	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)))
	2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series23.0ms (0.2%)

Counts

2 → 2

Calls

2 calls:

13.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
9.0ms	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64`
24×	`sqrt-prod_binary64`
21×	`distribute-lft-out_binary64`
18×	`times-frac_binary64`
15×	`add-sqr-sqrt_binary64`

Counts

2 → 70

Calls

2 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
6.0ms	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

744×	`div-sub_binary64`
483×	`fma-neg_binary64`
334×	`times-frac_binary64`
317×	`associate-/l*_binary64`
310×	`distribute-rgt-in_binary64`

Counts

72 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	1097
1	123	1012
2	243	1012
3	504	1010
4	1190	1010
5	2283	1010
6	4202	1010
7	4971	1010
8	4998	1010
9	4828	1010

prune451.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	175	8	183

Error

0.0b

Counts

183 → 8

Alt Table

Status	Error	Program
	6.8b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)) 3))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
✓	0.4b	(+.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)))
	6.3b	(+.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 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t))))
	5.3b	(+.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)))
	1.9b	(+.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 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	6.8b	(+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.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)))
	2.0b	(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.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)))
	1.9b	(+.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (fma.f64 x (sqrt.f64 x) (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.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 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 8754 to 5809 computations (33.6% saved)

regimes2.7s (19.5%)

Accuracy

Total 1.3b remaining (76.5%)

Threshold costs 0b (0%)

Counts

138 → 1

Compiler

Compiled 99611 to 69380 computations (30.3% 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	28	59
1	42	59
2	46	59
3	48	59
4	49	59
5	48	59

end268.0ms (1.9%)

Compiler: Compiled 528 to 413 computations (21.8% saved)

Details

analyze637.0ms (4.6%)

sample7.1s (51.2%)

simplify57.0ms (0.4%)

prune4.0ms (0%)

localize23.0ms (0.2%)

series67.0ms (0.5%)

rewrite57.0ms (0.4%)

simplify290.0ms (2.1%)

prune643.0ms (4.7%)

localize30.0ms (0.2%)

series14.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify105.0ms (0.8%)

prune577.0ms (4.2%)

localize24.0ms (0.2%)

series13.0ms (0.1%)

rewrite14.0ms (0.1%)

simplify105.0ms (0.8%)

prune451.0ms (3.3%)

localize26.0ms (0.2%)

series23.0ms (0.2%)

rewrite21.0ms (0.2%)

simplify137.0ms (1%)

prune451.0ms (3.3%)

regimes2.7s (19.5%)

simplify4.0ms (0%)

end268.0ms (1.9%)

Profiling