Details

analyze1.1s (10.4%)

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)

sample82.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	163×	body	128	valid
12.0ms	33×	body	1024	valid
10.0ms	60×	body	128	nan
9.0ms	26×	body	1024	nan
9.0ms	33×	body	512	valid
4.0ms	15×	body	512	nan
4.0ms	8×	body	2048	valid
3.0ms	19×	body	256	valid
1.0ms	6×	body	256	nan

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`div-sub_binary64`
508×	`distribute-neg-in_binary64`
500×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
403×	`cancel-sign-sub-inv_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	46	41
2	95	41
3	184	41
4	355	41
5	714	41
6	1619	41
7	3620	41
8	4716	41
9	5192	41

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

45.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	45.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))

Compiler

Compiled 60 to 40 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
0.4b	(*.f64 (sqrt.f64 2) t)
13.1b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
21.0b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite194.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

45.7b

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 → 80

Calls

4 calls:

14.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
13.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
11.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
4.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 3285 to 1868 computations (43.1% saved)

series651.0ms (5.9%)

Error

5.4b

Counts

4 → 58

Calls

4 calls:

306.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
175.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
116.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
6.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 9028 to 7341 computations (18.7% saved)

simplify145.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

366×	`cancel-sign-sub-inv_binary64`
292×	`times-frac_binary64`
259×	`associate-/l*_binary64`
239×	`associate-r_binary64`
222×	`associate-l_binary64`

Counts

138 → 101

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	6540
1	963	5970
2	4086	5970
3	5155	5970

prune71.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Error

5.4b

Counts

102 → 7

Alt Table

Status	Error	Program
	45.7b	(cbrt.f64 (pow.f64 (/.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) 3))
	37.4b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
	63.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))
	41.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
▶	31.3b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) x))))))
	41.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1))))))))
	38.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1)))))))

Compiler

Compiled 3480 to 2169 computations (37.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.2b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
6.2b	(/.f64 (*.f64 l l) x)
9.9b	(/.f64 (*.f64 t t) x)
26.3b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))

rewrite86.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

3.0b

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 → 74

Calls

4 calls:

6.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
5.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
4.0ms	(/.f64 (*.f64 t t) x)
3.0ms	(/.f64 (*.f64 l l) x)

Compiler

Compiled 2746 to 1107 computations (59.7% saved)

series280.0ms (2.5%)

Error

0.4b

Counts

4 → 53

Calls

4 calls:

163.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
64.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
16.0ms	(/.f64 (*.f64 l l) x)
14.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 4193 to 3315 computations (20.9% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

556×	`distribute-rgt-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
183×	`associate-l_binary64`
166×	`distribute-rgt-neg-in_binary64`
159×	`associate-r_binary64`

Counts

127 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	3558
1	674	3230
2	2741	3128
3	4972	3128

prune59.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	91	10	101

Error

0.6b

Counts

101 → 10

Alt Table

Status	Error	Program
▶	27.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 l (/.f64 l x)))))))
	52.8b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 (.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))) (.f64 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))) (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))))
	31.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x)))))))
	45.7b	(cbrt.f64 (pow.f64 (/.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) 3))
	41.5b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x))))))
	63.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))
	31.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x)))))))
	41.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	53.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	38.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1)))))))

Compiler

Compiled 2448 to 1441 computations (41.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
4.2b	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
9.9b	(/.f64 (*.f64 t t) x)
26.3b	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))

rewrite70.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`associate-*r/_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`

Counts

4 → 64

Calls

4 calls:

6.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
5.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))
3.0ms	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
3.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 2508 to 958 computations (61.8% saved)

series268.0ms (2.4%)

Error

0.6b

Counts

4 → 65

Calls

4 calls:

128.0ms	(sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))
66.0ms	(+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
39.0ms	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
14.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 4607 to 3649 computations (20.8% saved)

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-rgt-in_binary64`
349×	`cancel-sign-sub-inv_binary64`
199×	`associate-l_binary64`
180×	`associate-r_binary64`
178×	`distribute-rgt-neg-in_binary64`

Counts

129 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3730
1	645	3375
2	2594	3267
3	4950	3267
4	4957	3267

prune55.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	105	10	115

Error

0.6b

Counts

115 → 10

Alt Table

Status	Error	Program
✓	27.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 l (/.f64 l x)))))))
	52.8b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 (.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))) (.f64 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))) (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))))
	31.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x)))))))
	45.7b	(cbrt.f64 (pow.f64 (/.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) 3))
	41.5b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x))))))
	63.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))
▶	31.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x)))))))
	41.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	53.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	38.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1)))))))

Compiler

Compiled 2620 to 1501 computations (42.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.2b	(/.f64 (*.f64 l l) x)
6.2b	(/.f64 (*.f64 l l) x)
26.3b	(sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))
26.3b	(sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))

rewrite107.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

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

Counts

4 → 76

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))
9.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))
4.0ms	(/.f64 (*.f64 l l) x)
4.0ms	(/.f64 (*.f64 l l) x)

Compiler

Compiled 4111 to 2335 computations (43.2% saved)

series380.0ms (3.4%)

Error

0.6b

Counts

4 → 60

Calls

4 calls:

153.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))
147.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))
19.0ms	(/.f64 (*.f64 l l) x)
17.0ms	(/.f64 (*.f64 l l) x)

Compiler

Compiled 9243 to 7088 computations (23.3% saved)

simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

366×	`cancel-sign-sub-inv_binary64`
346×	`associate-/l/_binary64`
296×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`
241×	`neg-mul-1_binary64`

Counts

136 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	4602
1	560	4314
2	2215	4032
3	4862	4032
4	5080	4032

prune69.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	90	10	100

Error

0.6b

Counts

100 → 10

Alt Table

Status	Error	Program
	27.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (.f64 2 (+.f64 (.f64 t t) (.f64 l (/.f64 l x)))))))
	52.8b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 (.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x))) (.f64 (/.f64 (.f64 t t) (.f64 l (sqrt.f64 2))) (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))))
	31.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x)))))))
	45.7b	(cbrt.f64 (pow.f64 (/.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l)))) 3))
	41.5b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 2 (/.f64 4 x))))))
	63.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))
	31.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 (.f64 t t) (+.f64 2 (/.f64 4 x))) (.f64 2 (/.f64 (.f64 l l) x)))))))
	41.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	53.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 (*.f64 l (sqrt.f64 2)) (sqrt.f64 (/.f64 1 x)))))
	38.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1)))))))

Compiler

Compiled 3638 to 2317 computations (36.3% saved)

regimes3.9s (35.3%)

Accuracy

Total 8.4b remaining (93.1%)

Threshold costs 0b (0%)

Compiler

Compiled 35315 to 23549 computations (33.3% saved)

bsearch451.0ms (4.1%)

Steps

Iters	Range		Point
8	4.1094293396993725e+119	8.038538459137851e+123	5.6551231679193885e+121
6	3.0582582543322133e-261	2.056599197581234e-260	3.102085561218943e-261
8	-3.610651977382903e-224	-4.337417707105068e-227	-3.5699458991278936e-224
7	-2.9287685329891427e-163	-1.2783002409611585e-164	-1.2938403409931352e-164
7	-4.2051101634101805e+154	-1.0898825908741898e+153	-3.794059740456262e+153

Compiler

Compiled 4 to 3 computations (25% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
18×	`+-commutative_binary64`
11×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	231
1	112	231
2	142	231
3	159	231
4	167	231
5	168	231
6	166	231

end2.0ms (0%)

Compiler: Compiled 153 to 102 computations (33.3% saved)

sample2.5s (22.9%)

Algorithm

1×

intervals

Results

514.0ms	5355×	body	128	valid
439.0ms	1116×	body	1024	valid
288.0ms	779×	body	1024	nan
237.0ms	870×	body	512	valid
138.0ms	1469×	body	128	nan
135.0ms	499×	body	512	nan
101.0ms	557×	body	256	valid
47.0ms	278×	body	256	nan
45.0ms	102×	body	2048	valid

Compiler

Compiled 482 to 342 computations (29% saved)

Details

analyze1.1s (10.4%)

sample82.0ms (0.7%)

simplify77.0ms (0.7%)

prune2.0ms (0%)

localize15.0ms (0.1%)

rewrite194.0ms (1.8%)

series651.0ms (5.9%)

simplify145.0ms (1.3%)

prune71.0ms (0.6%)

localize15.0ms (0.1%)

rewrite86.0ms (0.8%)

series280.0ms (2.5%)

simplify95.0ms (0.9%)

prune59.0ms (0.5%)

localize16.0ms (0.1%)

rewrite70.0ms (0.6%)

series268.0ms (2.4%)

simplify122.0ms (1.1%)

prune55.0ms (0.5%)

localize20.0ms (0.2%)

rewrite107.0ms (1%)

series380.0ms (3.4%)

simplify141.0ms (1.3%)

prune69.0ms (0.6%)

regimes3.9s (35.3%)

bsearch451.0ms (4.1%)

simplify10.0ms (0.1%)

end2.0ms (0%)

sample2.5s (22.9%)

Profiling