Details

analyze3.2s (21.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample65.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
10.0ms	96×	body	128	nan
3.0ms	30×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-neg-frac_binary64`
581×	`distribute-rgt-neg-in_binary64`
418×	`associate-/l*_binary64`
372×	`cancel-sign-sub-inv_binary64`
263×	`associate-/l/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	111	27
3	723	27
4	2855	27
5	4994	27

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

14.6b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	14.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))

Compiler

Compiled 48 to 36 computations (25% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.5b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
5.9b	(/.f64 (.f64 M D) (.f64 2 d))
12.6b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite232.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

67×	`add-exp-log_binary64`
38×	`add-sqr-sqrt_binary64`
27×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
19×	`associate-r_binary64`

Counts

4 → 124

Calls

4 calls:

9.0ms	(/.f64 (.f64 M D) (.f64 2 d))
9.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
6.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

Compiler

Compiled 3392 to 1931 computations (43.1% saved)

series339.0ms (2.3%)

Error

5.6b

Counts

4 → 67

Calls

4 calls:

113.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
89.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
87.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
22.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 5019 to 3823 computations (23.8% saved)

simplify171.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
372×	`associate-l_binary64`
360×	`associate-r_binary64`
324×	`times-frac_binary64`
259×	`associate-/l*_binary64`

Counts

191 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	5342
1	947	4965
2	4078	4919
3	5001	4919

prune133.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	151	11	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	11	163

Error

3.5b

Counts

163 → 11

Alt Table

Status	Error	Program
▶	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) l))))
	62.1b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	61.5b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
	56.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	17.3b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	10.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (.f64 (cbrt.f64 h) (cbrt.f64 h))) (/.f64 (cbrt.f64 h) l)))))
	10.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (/.f64 (.f64 (cbrt.f64 h) (cbrt.f64 h)) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (cbrt.f64 h) (cbrt.f64 l))))))
	12.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 h l) (/.f64 (.f64 D M) (*.f64 2 d)))))))
	23.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M D) 2) (.f64 (/.f64 h l) (pow.f64 (/.f64 1/2 d) 2))))))
	14.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) (/.f64 h l)))))
	13.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))) 2) (.f64 (/.f64 h l) (pow.f64 (cbrt.f64 (/.f64 (.f64 D M) (.f64 2 d))) 2))))))

Compiler

Compiled 3460 to 1948 computations (43.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.5b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) l)))
5.3b	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
5.9b	(/.f64 (.f64 D M) (.f64 2 d))
6.5b	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) l)

rewrite218.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

67×	`add-exp-log_binary64`
26×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`div-exp_binary64`

Counts

4 → 107

Calls

4 calls:

8.0ms	(/.f64 (.f64 D M) (.f64 2 d))
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) l)))
6.0ms	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
6.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) l)

Compiler

Compiled 2776 to 1716 computations (38.2% saved)

series301.0ms (2%)

Error

2.6b

Counts

4 → 58

Calls

4 calls:

97.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) l)
94.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) l)))
55.0ms	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
31.0ms	(/.f64 (.f64 D M) (.f64 2 d))

Compiler

Compiled 4118 to 3172 computations (23% saved)

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

395×	`fma-def_binary64`
295×	`times-frac_binary64`
262×	`associate-r_binary64`
258×	`associate-l_binary64`
255×	`associate-/l*_binary64`

Counts

165 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	4242
1	776	4003
2	3365	3937
3	4790	3937
4	5022	3937

prune88.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	108	12	120

Error

2.3b

Counts

120 → 12

Alt Table

Status	Error	Program
	37.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) (.f64 2 d)) (sqrt.f64 h)) (.f64 (/.f64 (.f64 D M) (.f64 2 d)) (sqrt.f64 h))) l))))
	12.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 h l) (/.f64 (.f64 D M) (*.f64 2 d)))))))
▶	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l))))
	13.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))) 2) (.f64 (/.f64 h l) (pow.f64 (cbrt.f64 (/.f64 (.f64 D M) (.f64 2 d))) 2))))))
	60.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 h (/.f64 l (pow.f64 (*.f64 D M) 2))) -1/4)) d))
	59.2b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	62.1b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	61.5b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
	56.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	17.3b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	10.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (.f64 (cbrt.f64 h) (cbrt.f64 h))) (/.f64 (cbrt.f64 h) l)))))
	23.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M D) 2) (.f64 (/.f64 h l) (pow.f64 (/.f64 1/2 d) 2))))))

Compiler

Compiled 2014 to 1208 computations (40% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.5b	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l)))
5.3b	(*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2))
6.5b	(/.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l)
6.6b	(/.f64 D (/.f64 2 (/.f64 M d)))

rewrite769.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

735×	`times-frac_binary64`
366×	`add-sqr-sqrt_binary64`
347×	`*-un-lft-identity_binary64`
344×	`add-cube-cbrt_binary64`
142×	`associate-r_binary64`

Counts

4 → 415

Calls

4 calls:

45.0ms	(*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2))
25.0ms	(/.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l)
12.0ms	(/.f64 D (/.f64 2 (/.f64 M d)))
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l)))

Compiler

Compiled 13200 to 7626 computations (42.2% saved)

series286.0ms (1.9%)

Error

2.3b

Counts

4 → 58

Calls

4 calls:

93.0ms	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l)))
86.0ms	(/.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l)
53.0ms	(*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2))
30.0ms	(/.f64 D (/.f64 2 (/.f64 M d)))

Compiler

Compiled 4118 to 3172 computations (23% saved)

simplify305.0ms (2%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-/r/_binary64`
400×	`associate-/l/_binary64`
345×	`associate-/r*_binary64`
314×	`associate-/l*_binary64`
272×	`sqr-pow_binary64`

Counts

473 → 320

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	948	12220
1	2276	11917
2	4868	11913
3	4977	11913

prune395.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	317	3	320
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	320	12	332

Error

1.8b

Counts

332 → 12

Alt Table

Status	Error	Program
	21.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (.f64 D D)) (pow.f64 (/.f64 1 (/.f64 2 (/.f64 M d))) 2)) l))))
	62.1b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
▶	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2)) l))))
✓	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l))))
	60.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 h (/.f64 l (pow.f64 (*.f64 D M) 2))) -1/4)) d))
	37.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (/.f64 D (/.f64 2 (/.f64 M d))) (sqrt.f64 h)) (.f64 (/.f64 D (/.f64 2 (/.f64 M d))) (sqrt.f64 h))) l))))
	59.2b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	61.5b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
	56.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	17.3b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	12.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 h l) (/.f64 (.f64 D M) (*.f64 2 d)))))))
	23.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M D) 2) (.f64 (/.f64 h l) (pow.f64 (/.f64 1/2 d) 2))))))

Compiler

Compiled 7566 to 4202 computations (44.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(.f64 M (/.f64 D (.f64 2 d)))
4.5b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2)) l)))
5.3b	(.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2))
6.5b	(/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2)) l)

rewrite201.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

55×	`add-exp-log_binary64`
24×	`prod-exp_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`

Counts

4 → 106

Calls

4 calls:

8.0ms	(.f64 M (/.f64 D (.f64 2 d)))
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2)) l)))
6.0ms	(/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2)) l)
5.0ms	(.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2))

Compiler

Compiled 2690 to 1803 computations (33% saved)

series291.0ms (1.9%)

Error

1.8b

Counts

4 → 58

Calls

4 calls:

96.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2)) l)))
88.0ms	(/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2)) l)
63.0ms	(.f64 h (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2))
22.0ms	(.f64 M (/.f64 D (.f64 2 d)))

Compiler

Compiled 4118 to 3172 computations (23% saved)

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-def_binary64`
298×	`associate-r_binary64`
297×	`associate-l_binary64`
241×	`distribute-neg-frac_binary64`
204×	`associate-/l*_binary64`

Counts

164 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	4213
1	761	4055
2	3242	3994
3	4750	3994
4	5045	3994

prune65.0ms (0.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	102	12	114

Error

1.8b

Counts

114 → 12

Alt Table

Status	Error	Program
	21.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (.f64 D D)) (pow.f64 (/.f64 1 (/.f64 2 (/.f64 M d))) 2)) l))))
	62.1b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
✓	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2)) l))))
✓	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) l))))
	60.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 h (/.f64 l (pow.f64 (*.f64 D M) 2))) -1/4)) d))
	37.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (/.f64 D (/.f64 2 (/.f64 M d))) (sqrt.f64 h)) (.f64 (/.f64 D (/.f64 2 (/.f64 M d))) (sqrt.f64 h))) l))))
	59.2b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	61.5b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
	56.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	17.3b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	12.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 h l) (/.f64 (.f64 D M) (*.f64 2 d)))))))
	23.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M D) 2) (.f64 (/.f64 h l) (pow.f64 (/.f64 1/2 d) 2))))))

Compiler

Compiled 1561 to 898 computations (42.5% saved)

regimes5.1s (33.9%)

Accuracy

Total 4.2b remaining (49.2%)

Threshold costs 0b (0%)

Compiler

Compiled 96532 to 69617 computations (27.9% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	146
1	75	146
2	104	146
3	134	146
4	161	146
5	175	146
6	181	146
7	182	146
8	180	146

end10.0ms (0.1%)

Compiler: Compiled 309 to 201 computations (35% saved)

sample2.5s (16.4%)

Algorithm

1×

intervals

Results

784.0ms	8000×	body	128	valid
306.0ms	3157×	body	128	nan
129.0ms	1367×	body	128	invalid

Compiler

Compiled 493 to 343 computations (30.4% saved)

Iter	Nodes	Cost
0	50	146
1	75	146
2	104	146
3	134	146
4	161	146
5	175	146
6	181	146
7	182	146
8	180	146

Iter	Nodes	Cost
0	50	146
1	75	146
2	104	146
3	134	146
4	161	146
5	175	146
6	181	146
7	182	146
8	180	146

Details

analyze3.2s (21.3%)

sample65.0ms (0.4%)

simplify34.0ms (0.2%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite232.0ms (1.5%)

series339.0ms (2.3%)

simplify171.0ms (1.1%)

prune133.0ms (0.9%)

localize13.0ms (0.1%)

rewrite218.0ms (1.5%)

series301.0ms (2%)

simplify142.0ms (0.9%)

prune88.0ms (0.6%)

localize13.0ms (0.1%)

rewrite769.0ms (5.1%)

series286.0ms (1.9%)

simplify305.0ms (2%)

prune395.0ms (2.6%)

localize14.0ms (0.1%)

rewrite201.0ms (1.3%)

series291.0ms (1.9%)

simplify142.0ms (0.9%)

prune65.0ms (0.4%)

regimes5.1s (33.9%)

bsearch10.0ms (0.1%)

simplify11.0ms (0.1%)

end10.0ms (0.1%)

sample2.5s (16.4%)

Profiling

Iter	Nodes	Cost
0	50	146
1	75	146
2	104	146
3	134	146
4	161	146
5	175	146
6	181	146
7	182	146
8	180	146