Details

analyze512.0ms (3.9%)

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)

sample237.0ms (1.8%)

Algorithm

1×

intervals

Results

59.0ms	141×	body	512	valid
46.0ms	330×	body	128	nan
36.0ms	53×	body	1024	valid
11.0ms	34×	body	256	valid
4.0ms	28×	body	128	valid

Compiler

Compiled 75 to 59 computations (21.3% saved)

simplify44.0ms (0.3%)

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

prune6.0ms (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

5.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.2b	(+.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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
✓	3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
✓	4.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series62.0ms (0.5%)

Counts

4 → 4

Calls

4 calls:

17.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
15.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
15.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
15.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

rewrite65.0ms (0.5%)

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:

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

simplify289.0ms (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

prune620.0ms (4.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	244	9	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	245	9	254

Error

0.3b

Counts

254 → 9

Alt Table

Status	Error	Program
	44.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 z 1))) (exp.f64 (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.5b	(+.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)))
	5.2b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (sqrt.f64 (-.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)))
	11.5b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 z 1)) 3) (pow.f64 (sqrt.f64 z) 3)) (+.f64 (.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 (+.f64 z 1))) (+.f64 (.f64 (sqrt.f64 z) (sqrt.f64 z)) (*.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
▶	2.2b	(+.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)))
	5.2b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (sqrt.f64 (cbrt.f64 (+.f64 y 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.5b	(+.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))))
	4.3b	(+.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)))
	5.2b	(+.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)))

Compiler

Compiled 12689 to 7194 computations (43.3% saved)

localize23.0ms (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)))
	2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
	4.3b	(-.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)))

rewrite10.0ms (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:

7.0ms

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

simplify118.0ms (0.9%)

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

prune565.0ms (4.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	231	4	235
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	235	9	244

Error

0.1b

Counts

244 → 9

Alt Table

Status	Error	Program
	44.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 z 1))) (exp.f64 (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.5b	(+.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)))
	5.2b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (sqrt.f64 (-.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)))
	2.2b	(+.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 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.3b	(+.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 (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 (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (sqrt.f64 (cbrt.f64 (+.f64 y 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))))))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	4.5b	(+.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))))
▶	1.3b	(+.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)))

Compiler

Compiled 11960 to 7168 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)))
	2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
	4.3b	(-.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)))

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:

7.0ms

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

simplify98.0ms (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

prune478.0ms (3.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	217	9	226

Error

0.0b

Counts

226 → 9

Alt Table

Status	Error	Program
	4.5b	(+.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)))
▶	0.7b	(+.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)))
	44.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 z 1))) (exp.f64 (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (sqrt.f64 (-.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)))
	2.2b	(+.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 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.3b	(+.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 (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)))
	4.5b	(+.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))))
	1.4b	(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.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)))

Compiler

Compiled 11129 to 7072 computations (36.5% saved)

localize27.0ms (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)))
✓	0.3b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
	2.3b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series14.0ms (0.1%)

Counts

1 → 1

Calls

1 calls:

14.0ms

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

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 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

prune488.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	198	9	207

Error

0.0b

Counts

207 → 9

Alt Table

Status	Error	Program
	4.5b	(+.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)))
✓	0.7b	(+.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)))
	44.9b	(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 z 1))) (exp.f64 (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (log.f64 (exp.f64 (-.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 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (sqrt.f64 (-.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)))
	2.2b	(+.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 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
	2.3b	(+.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 (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)))
	4.5b	(+.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))))
	1.4b	(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.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)))

Compiler

Compiled 9840 to 6576 computations (33.2% saved)

regimes2.0s (15.2%)

Accuracy

Total 0.3b remaining (83%)

Threshold costs 0.3b (83%)

Counts

120 → 1

Compiler

Compiled 84007 to 60302 computations (28.2% 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

end25.0ms (0.2%)

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

sample7.2s (55.2%)

Algorithm

1×

intervals

Results

1.9s	4400×	body	512	valid
1.4s	9566×	body	128	nan
975.0ms	1685×	body	1024	valid
276.0ms	1047×	body	256	valid
119.0ms	868×	body	128	valid

Compiler

Compiled 470 to 367 computations (21.9% saved)

Details

analyze512.0ms (3.9%)

sample237.0ms (1.8%)

simplify44.0ms (0.3%)

prune6.0ms (0%)

localize21.0ms (0.2%)

series62.0ms (0.5%)

rewrite65.0ms (0.5%)

simplify289.0ms (2.2%)

prune620.0ms (4.7%)

localize23.0ms (0.2%)

series13.0ms (0.1%)

rewrite10.0ms (0.1%)

simplify118.0ms (0.9%)

prune565.0ms (4.3%)

localize24.0ms (0.2%)

series13.0ms (0.1%)

rewrite13.0ms (0.1%)

simplify98.0ms (0.7%)

prune478.0ms (3.7%)

localize27.0ms (0.2%)

series14.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify97.0ms (0.7%)

prune488.0ms (3.7%)

regimes2.0s (15.2%)

simplify4.0ms (0%)

end25.0ms (0.2%)

sample7.2s (55.2%)

Profiling