Details

analyze1.1s (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample135.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	165×	body	128	valid
14.0ms	38×	body	1024	valid
8.0ms	30×	body	512	valid
6.0ms	16×	body	1024	nan
5.0ms	16×	body	512	nan
4.0ms	23×	body	256	valid
4.0ms	42×	body	128	nan
1.0ms	6×	body	256	nan

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

667×	`fma-def_binary64`
506×	`fma-neg_binary64`
500×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
403×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	48	39
2	103	39
3	222	39
4	455	39
5	975	39
6	2136	39
7	4390	39
8	4971	39

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

44.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	44.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))

Compiler

Compiled 114 to 72 computations (36.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
✓	0.4b	(*.f64 (sqrt.f64 2) t)
✓	13.4b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
✓	21.3b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))

series2.1s (15.7%)

Counts

4 → 120

Calls

4 calls:

1.7s	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
314.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))
77.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
3.0ms	(*.f64 (sqrt.f64 2) t)

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 90

Calls

4 calls:

13.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (*.f64 l l))))
10.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l))
9.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l))) (.f64 l l)))
4.0ms	(*.f64 (sqrt.f64 2) t)

simplify424.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
343×	`associate-+r+_binary64`
286×	`associate-r_binary64`
228×	`associate-*r/_binary64`
219×	`associate-/l*_binary64`

Counts

210 → 258

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1626	31940
1	5000	31940
2	5024	31940

prune991.0ms (7.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	250	8	258
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	8	259

Error

5.5b

Counts

259 → 8

Alt Table

Status	Error	Program
	37.9b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2))
	37.6b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
▶	30.5b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
	44.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (neg.f64 (.f64 l l)))))
	48.4b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (+.f64 (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) (.f64 x x)))) (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) x))))))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (pow.f64 t 3) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x))) (/.f64 (.f64 l l) (.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))))))))
	36.2b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
	48.3b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))

Compiler

Compiled 42305 to 31184 computations (26.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))
✓	5.6b	(/.f64 (*.f64 l l) x)
✓	9.5b	(/.f64 (*.f64 t t) x)
✓	28.0b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))

series222.0ms (1.7%)

Counts

4 → 116

Calls

4 calls:

130.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))
66.0ms	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))
13.0ms	(/.f64 (*.f64 l l) x)
13.0ms	(/.f64 (*.f64 t t) x)

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

4 → 71

Calls

4 calls:

4.0ms	(/.f64 (*.f64 l l) x)
4.0ms	(/.f64 (*.f64 t t) x)
1.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))
0.0ms	(fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
236×	`times-frac_binary64`
236×	`fma-neg_binary64`
205×	`unswap-sqr_binary64`
201×	`sub-neg_binary64`

Counts

187 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	5324
1	771	4853
2	3429	4827
3	4916	4827
4	4975	4827

prune809.0ms (6.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	154	11	165

Error

0.2b

Counts

165 → 11

Alt Table

Status	Error	Program
▶	30.5b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	37.9b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2))
	37.6b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	39.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (/.f64 l (sqrt.f64 x)) (/.f64 l (sqrt.f64 x))) (*.f64 t t))))))
	52.7b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	44.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (neg.f64 (.f64 l l)))))
	48.4b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (+.f64 (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) (.f64 x x)))) (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) x))))))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (pow.f64 t 3) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x))) (/.f64 (.f64 l l) (.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))))))))
	36.2b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
	48.3b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	53.7b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))

Compiler

Compiled 6882 to 4139 computations (39.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.6b	(/.f64 (*.f64 l l) x)
	9.5b	(/.f64 (*.f64 t t) x)
✓	28.0b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (.f64 t t)))))
✓	32.7b	(cbrt.f64 (/.f64 (*.f64 l l) x))

series667.0ms (5%)

Counts

2 → 56

Calls

2 calls:

535.0ms

(cbrt.f64 (/.f64 (*.f64 l l) x))

132.0ms

(sqrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 l l) x)) (cbrt.f64 (/.f64 (*.f64 l l) x))) (cbrt.f64 (/.f64 (*.f64 l l) x))) (*.f64 t t)))))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
3×	`sqrt-prod_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms

(cbrt.f64 (/.f64 (*.f64 l l) x))

1.0ms

(sqrt.f64 (fma.f64 4 (/.f64 (*.f64 t t) x) (*.f64 2 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 l l) x)) (cbrt.f64 (/.f64 (*.f64 l l) x))) (cbrt.f64 (/.f64 (*.f64 l l) x))) (*.f64 t t)))))

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

517×	`cancel-sign-sub-inv_binary64`
392×	`fma-neg_binary64`
251×	`neg-mul-1_binary64`
200×	`sub-neg_binary64`
176×	`unswap-sqr_binary64`

Counts

89 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	4001
1	706	3779
2	2735	3520
3	4481	3402
4	4960	3402

prune267.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	279	11	290

Error

0.2b

Counts

290 → 11

Alt Table

Status	Error	Program
✓	30.5b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	37.9b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2))
	37.6b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t))
	39.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (/.f64 l (sqrt.f64 x)) (/.f64 l (sqrt.f64 x))) (*.f64 t t))))))
	52.7b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	44.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (neg.f64 (.f64 l l)))))
	48.4b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (+.f64 (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) (.f64 x x)))) (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) x))))))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (pow.f64 t 3) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x))) (/.f64 (.f64 l l) (.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))))))))
▶	36.2b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
	48.3b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))
	53.7b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))

Compiler

Compiled 13798 to 5895 computations (57.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (sqrt.f64 2) t)
✓	0.4b	(*.f64 (sqrt.f64 2) x)
✓	0.8b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
✓	11.3b	(/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x)))

series198.0ms (1.5%)

Counts

3 → 72

Calls

3 calls:

136.0ms

(/.f64 (*.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (*.f64 (sqrt.f64 2) x)) (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sqrt.f64 2) x))))))

58.0ms

(/.f64 (*.f64 l l) (*.f64 t (*.f64 (sqrt.f64 2) x)))

3.0ms

(*.f64 (sqrt.f64 2) x)

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`cbrt-unprod_binary64`
11×	`prod-exp_binary64`

Counts

3 → 74

Calls

3 calls:

6.0ms

(/.f64 (*.f64 l l) (*.f64 t (*.f64 (sqrt.f64 2) x)))

5.0ms

(*.f64 (sqrt.f64 2) x)

4.0ms

(/.f64 (*.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (*.f64 (sqrt.f64 2) x)) (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sqrt.f64 2) x))))))

simplify144.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-def_binary64`
482×	`times-frac_binary64`
304×	`associate-/r*_binary64`
289×	`associate-/l*_binary64`
287×	`associate-r_binary64`

Counts

146 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	5946
1	852	5323
2	4053	5269
3	4981	5269
4	4947	5269

prune213.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	180	10	190

Error

0.1b

Counts

190 → 10

Alt Table

Status	Error	Program
✓	30.5b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 l l) x)) (cbrt.f64 (/.f64 (.f64 l l) x))) (cbrt.f64 (/.f64 (.f64 l l) x))) (*.f64 t t))))))
	37.9b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (-.f64 x 1)) (.f64 2 (/.f64 x (-.f64 x 1)))))) (sqrt.f64 2))
	39.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) x) (.f64 2 (+.f64 (.f64 (/.f64 l (sqrt.f64 x)) (/.f64 l (sqrt.f64 x))) (*.f64 t t))))))
	52.7b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))))
	41.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))) t)))
	33.3b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (/.f64 l (/.f64 (.f64 t (.f64 (sqrt.f64 2) x)) l)))))
	53.7b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	44.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (neg.f64 (.f64 l l)))))
	48.4b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x)) (+.f64 (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) (.f64 x x)))) (/.f64 (.f64 l l) (.f64 t (.f64 (sqrt.f64 2) x))))))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (pow.f64 t 3) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x))) (/.f64 (.f64 l l) (.f64 t (.f64 (.f64 2 (sqrt.f64 2)) (.f64 x x)))))))))
	48.3b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (.f64 2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (.f64 t t) (-.f64 x 1)))))))

Compiler

Compiled 7740 to 5452 computations (29.6% saved)

regimes1.8s (13.6%)

Accuracy

Total 8.6b remaining (95.3%)

Threshold costs 0b (0%)

Counts

103 → 10

Compiler

Compiled 23915 to 17218 computations (28% saved)

bsearch950.0ms (7.2%)

Steps

Iters	Range		Point
7	2266519.235443138	146505455.2995752	143354070.17367202
9	6.1402703922901525e-152	1.1311784603304999e-142	6.255022319900936e-152
7	4.531350295758304e-256	4.6069025502289136e-254	4.518323704387214e-254
9	1.2868224103428749e-269	1.330222643872514e-261	1.306497617831763e-269
1	-7.670705229024599e-286	-1.4690390248570194e-300	-3.4980815800036635e-293
4	-1.4222562738930933e-284	-8.858775409852948e-285	-9.014318505317317e-285
9	-1.7552501400009515e-224	-2.034467420170159e-229	-1.7379530026544432e-224
11	-1.893734053307974e-149	-4.955100330186924e-185	-5.040030911269392e-185
8	-1.2375701204325202e+51	-2.7880791311705853e+46	-1.2150148373750362e+51

Compiler

Compiled 4 to 3 computations (25% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
9×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	442
1	110	442
2	121	442
3	127	442
4	129	442
5	127	442

end5.0ms (0%)

Compiler: Compiled 294 to 187 computations (36.4% saved)

sample2.7s (20.6%)

Algorithm

1×

intervals

Results

542.0ms	5322×	body	128	valid
423.0ms	1171×	body	1024	valid
305.0ms	838×	body	1024	nan
253.0ms	907×	body	512	valid
141.0ms	530×	body	512	nan
139.0ms	1558×	body	128	nan
103.0ms	535×	body	256	valid
63.0ms	318×	body	256	nan
30.0ms	65×	body	2048	valid

Compiler

Compiled 671 to 444 computations (33.8% saved)

Details

analyze1.1s (8.1%)

sample135.0ms (1%)

simplify54.0ms (0.4%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series2.1s (15.7%)

rewrite41.0ms (0.3%)

simplify424.0ms (3.2%)

prune991.0ms (7.5%)

localize28.0ms (0.2%)

series222.0ms (1.7%)

rewrite12.0ms (0.1%)

simplify162.0ms (1.2%)

prune809.0ms (6.1%)

localize18.0ms (0.1%)

series667.0ms (5%)

rewrite7.0ms (0%)

simplify133.0ms (1%)

prune267.0ms (2%)

localize15.0ms (0.1%)

series198.0ms (1.5%)

rewrite20.0ms (0.2%)

simplify144.0ms (1.1%)

prune213.0ms (1.6%)

regimes1.8s (13.6%)

bsearch950.0ms (7.2%)

simplify13.0ms (0.1%)

end5.0ms (0%)

sample2.7s (20.6%)

Profiling