Details

analyze2.6s (21.9%)

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)

sample59.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
6.0ms	95×	body	128	nan
3.0ms	49×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

893×	`div-sub_binary64`
645×	`distribute-neg-frac_binary64`
581×	`distribute-rgt-neg-in_binary64`
569×	`distribute-lft-neg-in_binary64`
418×	`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	718	27
4	2816	27
5	4688	27
6	6103	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

14.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	14.1b	(.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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.7b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
6.3b	(/.f64 (.f64 M D) (.f64 2 d))
9.6b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite227.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

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 → 116

Calls

4 calls:

15.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
8.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

Compiler

Compiled 3232 to 1835 computations (43.2% saved)

series476.0ms (4.1%)

Error

8.5b

Counts

4 → 77

Calls

4 calls:

186.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
120.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
112.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
30.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 4927 to 3746 computations (24% saved)

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

316×	`times-frac_binary64`
302×	`associate-l_binary64`
275×	`associate-r_binary64`
255×	`associate-/l*_binary64`
205×	`distribute-neg-frac_binary64`

Counts

193 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	4777
1	789	4457
2	3420	4456
3	4877	4456
4	4968	4456

prune150.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

5.0b

Counts

150 → 11

Alt Table

Status	Error	Program
	60.5b	(-.f64 (.f64 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) -1/2) (.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0)))
	62.3b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) l) -1/4)) d))
	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 2 2)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))))))
	45.3b	(cbrt.f64 (pow.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2))))) 3))
▶	10.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) l))))
	14.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (.f64 M D) (/.f64 1/2 d)) 2) (/.f64 h l)))))
	59.3b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	14.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) (/.f64 h l)))))
	61.9b	(.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0))
	61.2b	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l)) -1/4)) (*.f64 D w0))
	28.8b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 M M) (*.f64 h w0)) l))))

Compiler

Compiled 2833 to 1648 computations (41.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
4.7b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
5.0b	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
6.3b	(/.f64 (.f64 M D) (.f64 2 d))

rewrite230.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

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 → 99

Calls

4 calls:

9.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
8.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
8.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2616 to 1612 computations (38.4% saved)

series356.0ms (3.1%)

Error

5.0b

Counts

4 → 61

Calls

4 calls:

119.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
114.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
75.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
32.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3705 to 2862 computations (22.8% saved)

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

829×	`associate-/r/_binary64`
267×	`times-frac_binary64`
227×	`distribute-rgt-neg-in_binary64`
220×	`associate-/l*_binary64`
215×	`distribute-lft-neg-in_binary64`

Counts

160 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	3424
1	574	3230
2	2496	3221
3	5430	3221

prune145.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	126	14	140

Error

4.4b

Counts

140 → 14

Alt Table

Status	Error	Program
	60.5b	(-.f64 (.f64 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) -1/2) (.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0)))
	60.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) 2) l) h) -1/4)) d))
▶	9.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (/.f64 (.f64 M D) (*.f64 2 d))) l))))
	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 2 2)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))))))
	62.6b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 (*.f64 d d) l)) -1/4))))
	45.3b	(cbrt.f64 (pow.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2))))) 3))
	19.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 M D) d)))) 2)) l))))
	9.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 d 2)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 d 2))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2)) l))))
	59.3b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	14.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) (/.f64 h l)))))
	10.1b	(.f64 w0 (.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 d 2)) 2)) l)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (.f64 d 2)) 2)) l))))))
	61.9b	(.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0))
	61.2b	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l)) -1/4)) (*.f64 D w0))
	28.8b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 M M) (*.f64 h w0)) l))))

Compiler

Compiled 2441 to 1521 computations (37.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 h (/.f64 (.f64 M D) (*.f64 d 2)))
5.0b	(/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (/.f64 (.f64 M D) (.f64 2 d))) l)
6.3b	(/.f64 (.f64 M D) (.f64 2 d))
6.3b	(/.f64 (.f64 M D) (.f64 d 2))

rewrite543.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

251×	`add-cbrt-cube_binary64`
251×	`add-exp-log_binary64`
116×	`cbrt-unprod_binary64`
116×	`prod-exp_binary64`
87×	`cbrt-undiv_binary64`

Counts

4 → 153

Calls

4 calls:

18.0ms	(/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (/.f64 (.f64 M D) (.f64 2 d))) l)
8.0ms	(.f64 h (/.f64 (.f64 M D) (*.f64 d 2)))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
6.0ms	(/.f64 (.f64 M D) (.f64 d 2))

Compiler

Compiled 5821 to 2829 computations (51.4% saved)

series227.0ms (1.9%)

Error

4.4b

Counts

4 → 45

Calls

4 calls:

111.0ms	(/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (/.f64 (.f64 M D) (.f64 2 d))) l)
49.0ms	(.f64 h (/.f64 (.f64 M D) (*.f64 d 2)))
30.0ms	(/.f64 (.f64 M D) (.f64 2 d))
28.0ms	(/.f64 (.f64 M D) (.f64 d 2))

Compiler

Compiled 2740 to 1946 computations (29% saved)

simplify204.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

739×	`times-frac_binary64`
545×	`associate-/l*_binary64`
470×	`associate-l_binary64`
390×	`associate-*r/_binary64`
354×	`associate-/r*_binary64`

Counts

198 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	6251
1	774	3763
2	3374	3667
3	4114	3667
4	4953	3667
5	5136	3667

prune120.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	143	14	157

Error

4.4b

Counts

157 → 14

Alt Table

Status	Error	Program
	60.5b	(-.f64 (.f64 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) -1/2) (.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0)))
	60.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) 2) l) h) -1/4)) d))
	62.6b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 (*.f64 d d) l)) -1/4))))
	45.3b	(cbrt.f64 (pow.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2))))) 3))
	19.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 M D) d)))) 2)) l))))
	9.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 d 2)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 d 2))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2)) l))))
	59.3b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	14.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) (/.f64 h l)))))
	61.9b	(.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0))
▶	8.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (/.f64 (/.f64 (.f64 M D) (*.f64 d 2)) l)))))
	9.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (.f64 (*.f64 M D) (/.f64 1/2 d))) l))))
	61.2b	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l)) -1/4)) (*.f64 D w0))
	28.8b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 M M) (*.f64 h w0)) l))))
	11.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (.f64 M (.f64 D h)) (/.f64 1 (.f64 d 2))) (/.f64 (.f64 M D) (.f64 2 d))) l))))

Compiler

Compiled 1964 to 1179 computations (40% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 h (/.f64 (.f64 M D) (*.f64 d 2)))
5.8b	(/.f64 (/.f64 (.f64 M D) (.f64 d 2)) l)
6.3b	(/.f64 (.f64 M D) (.f64 d 2))
6.3b	(/.f64 (.f64 M D) (.f64 d 2))

rewrite242.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

64×	`add-cbrt-cube_binary64`
64×	`add-exp-log_binary64`
22×	`times-frac_binary64`
21×	`cbrt-unprod_binary64`
21×	`cbrt-undiv_binary64`

Counts

4 → 115

Calls

4 calls:

9.0ms	(.f64 h (/.f64 (.f64 M D) (*.f64 d 2)))
8.0ms	(/.f64 (/.f64 (.f64 M D) (.f64 d 2)) l)
6.0ms	(/.f64 (.f64 M D) (.f64 d 2))
6.0ms	(/.f64 (.f64 M D) (.f64 d 2))

Compiler

Compiled 3638 to 1939 computations (46.7% saved)

series167.0ms (1.4%)

Error

4.4b

Counts

4 → 42

Calls

4 calls:

49.0ms	(/.f64 (/.f64 (.f64 M D) (.f64 d 2)) l)
47.0ms	(.f64 h (/.f64 (.f64 M D) (*.f64 d 2)))
31.0ms	(/.f64 (.f64 M D) (.f64 d 2))
30.0ms	(/.f64 (.f64 M D) (.f64 d 2))

Compiler

Compiled 2622 to 1763 computations (32.8% saved)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

926×	`associate-/r/_binary64`
570×	`*-commutative_binary64`
253×	`times-frac_binary64`
244×	`log-prod_binary64`
173×	`sub-neg_binary64`

Counts

157 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2791
1	421	2237
2	2004	2236
3	3544	2236
4	4898	2236
5	5004	2236

prune107.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	88	14	102

Error

4.4b

Counts

102 → 14

Alt Table

Status	Error	Program
	23.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 M D) (*.f64 d 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 M d)) (/.f64 D l))))))))
	60.5b	(-.f64 (.f64 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) -1/2) (.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0)))
	60.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) 2) l) h) -1/4)) d))
	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (.f64 (/.f64 M d) (/.f64 (/.f64 D 2) l))))))
	62.6b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 (*.f64 d d) l)) -1/4))))
	45.3b	(cbrt.f64 (pow.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2))))) 3))
	19.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 M D) d)))) 2)) l))))
	59.3b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	14.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) (/.f64 h l)))))
	61.9b	(.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) w0))
	9.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 d 2))) (.f64 (*.f64 M D) (/.f64 1/2 d))) l))))
	61.2b	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l)) -1/4)) (*.f64 D w0))
	28.8b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 M M) (*.f64 h w0)) l))))
	11.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (.f64 M (.f64 D h)) (/.f64 1 (.f64 d 2))) (/.f64 (.f64 M D) (.f64 2 d))) l))))

Compiler

Compiled 1522 to 873 computations (42.6% saved)

regimes3.2s (27.1%)

Accuracy

Total 4.2b remaining (50.8%)

Threshold costs 0b (0%)

Compiler

Compiled 68573 to 48432 computations (29.4% saved)

bsearch5.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64`
13×	`+-commutative_binary64`
13×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	77
1	53	77
2	78	77
3	101	77
4	123	77
5	134	77
6	138	77
7	139	77
8	138	77

end9.0ms (0.1%)

Compiler: Compiled 171 to 111 computations (35.1% saved)

sample2.2s (18.6%)

Algorithm

1×

intervals

Results

566.0ms	8000×	body	128	valid
219.0ms	3141×	body	128	nan
98.0ms	1339×	body	128	invalid

Compiler

Compiled 468 to 331 computations (29.3% saved)

Details

analyze2.6s (21.9%)

sample59.0ms (0.5%)

simplify41.0ms (0.4%)

prune2.0ms (0%)

localize13.0ms (0.1%)

rewrite227.0ms (1.9%)

series476.0ms (4.1%)

simplify159.0ms (1.4%)

prune150.0ms (1.3%)

localize13.0ms (0.1%)

rewrite230.0ms (2%)

series356.0ms (3.1%)

simplify103.0ms (0.9%)

prune145.0ms (1.2%)

localize18.0ms (0.2%)

rewrite543.0ms (4.7%)

series227.0ms (1.9%)

simplify204.0ms (1.7%)

prune120.0ms (1%)

localize13.0ms (0.1%)

rewrite242.0ms (2.1%)

series167.0ms (1.4%)

simplify131.0ms (1.1%)

prune107.0ms (0.9%)

regimes3.2s (27.1%)

bsearch5.0ms (0%)

simplify7.0ms (0.1%)

end9.0ms (0.1%)

sample2.2s (18.6%)

Profiling