Details

analyze2.6s (5.5%)

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
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 59 to 22 computations (62.7% saved)

sample11.5s (24.6%)

Results

2.9s	13943×	body	128	invalid
2.6s	2211×	body	8192	exit
2.1s	2167×	body	4096	valid
1.4s	1200×	body	8192	valid
1.1s	1350×	body	2048	valid
518.0ms	2457×	body	128	valid
439.0ms	631×	body	1024	valid
150.0ms	291×	body	512	valid
56.0ms	160×	body	256	valid
21.0ms	35×	body	1024	invalid
17.0ms	21×	body	2048	invalid
6.0ms	5×	body	4096	invalid
6.0ms	12×	body	512	invalid
3.0ms	9×	body	256	invalid

Compiler

Compiled 117 to 43 computations (63.2% saved)

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
599×	`fma-def_binary64`
304×	`associate-/l*_binary64`
217×	`fma-neg_binary64`
209×	`associate-*l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	64	74
2	315	74
3	3703	67
4	4833	67

prune9.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

59.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	61.7b	(.f64 (/.f64 (/.f64 c0 2) w) (fma.f64 (.f64 d d) (/.f64 c0 (.f64 w (.f64 h (.f64 D D)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 c0 (.f64 w h))) (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (.f64 M (neg.f64 M))))))
▶	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))

Status

Error

Program

61.7b

(*.f64 (/.f64 (/.f64 c0 2) w) (fma.f64 (*.f64 d d) (/.f64 c0 (*.f64 w (*.f64 h (*.f64 D D)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 c0 (*.f64 w h)) (/.f64 c0 (*.f64 w h))) (*.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (*.f64 M (neg.f64 M))))))

▶

59.9b

(*.f64 (/.f64 c0 (*.f64 2 w)) (+.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D)))) (*.f64 M M)))))

Compiler

Compiled 321 to 135 computations (57.9% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.6b	(.f64 (.f64 w h) (*.f64 D D))
✓	13.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
✓	16.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
✓	33.2b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

series1.0s (2.2%)

Counts

4 → 240

Calls

4 calls:

487.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
289.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
216.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.0ms	(.f64 (.f64 w h) (*.f64 D D))

rewrite116.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`add-cbrt-cube_binary64`
94×	`add-exp-log_binary64`
51×	`cbrt-unprod_binary64`
51×	`prod-exp_binary64`
18×	`pow1_binary64`

Counts

4 → 130

Calls

4 calls:

42.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
38.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
9.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
5.0ms	(.f64 (.f64 w h) (*.f64 D D))

simplify5.0s (10.7%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-/r*_binary64`
499×	`associate-/l*_binary64`
220×	`fma-def_binary64`
173×	`*-commutative_binary64`
114×	`unswap-sqr_binary64`

Counts

370 → 280

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	18774
1	1998	17358

prune606.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	446	16	462
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	448	16	464

Error

22.7b

Counts

464 → 16

Alt Table

Status	Error	Program
	39.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 D (/.f64 (/.f64 (/.f64 (.f64 c0 d) (/.f64 h (/.f64 d w))) (*.f64 M M)) D))))
	63.2b	(/.f64 (.f64 c0 (+.f64 (.f64 (.f64 c0 (.f64 d d)) (sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))) (.f64 (.f64 (.f64 w h) (.f64 D D)) (sqrt.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (.f64 (.f64 M M) (.f64 M M))))))) (.f64 (.f64 2 w) (.f64 (.f64 (.f64 w h) (.f64 D D)) (sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))))
	41.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (pow.f64 D 2) (.f64 w (.f64 h (pow.f64 M 2)))) (*.f64 (pow.f64 d 2) c0))))
	45.8b	(log.f64 (pow.f64 (exp.f64 (/.f64 c0 (.f64 2 w))) (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (*.f64 D D)) d)) M))))))
	58.4b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) 3)))
	56.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 (.f64 w h) D) D)) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
▶	32.0b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 d (*.f64 D D)) d)))
	60.5b	(.f64 (sqrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) (sqrt.f64 (/.f64 c0 (.f64 2 w)))))
	45.8b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	60.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 h (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	34.1b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	60.4b	(.f64 (.f64 (/.f64 d (.f64 D D)) d) (/.f64 (/.f64 (.f64 c0 c0) h) (*.f64 w w)))
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 c0) (+.f64 (log.f64 d) (log.f64 d))) (log.f64 (.f64 (.f64 w h) (.f64 D D))))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))

Compiler

Compiled 32547 to 6598 computations (79.7% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.1b	(.f64 (/.f64 d (.f64 D D)) d)
✓	6.3b	(/.f64 d (*.f64 D D))
✓	7.1b	(.f64 h (.f64 M M))
✓	13.9b	(/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 d (.f64 D D)) d))

series267.0ms (0.6%)

Counts

4 → 120

Calls

4 calls:

169.0ms	(/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 d (.f64 D D)) d))
61.0ms	(.f64 (/.f64 d (.f64 D D)) d)
27.0ms	(/.f64 d (*.f64 D D))
11.0ms	(.f64 h (.f64 M M))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-cbrt-cube_binary64`
77×	`add-exp-log_binary64`
32×	`cbrt-unprod_binary64`
32×	`prod-exp_binary64`
22×	`cbrt-undiv_binary64`

Counts

4 → 114

Calls

4 calls:

14.0ms	(/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 d (.f64 D D)) d))
7.0ms	(.f64 (/.f64 d (.f64 D D)) d)
5.0ms	(.f64 h (.f64 M M))
3.0ms	(/.f64 d (*.f64 D D))

simplify1.8s (4%)

Algorithm

1×	egg-herbie

Rules

554×	`*-commutative_binary64`
413×	`times-frac_binary64`
210×	`associate-/l*_binary64`
181×	`associate-/r*_binary64`
179×	`sub-neg_binary64`

Counts

234 → 167

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	3769
1	517	3088
2	2779	3061
3	4217	3057

prune344.0ms (0.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	152	15	167
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	159	24	183

Error

12.0b

Counts

183 → 24

Alt Table

Status	Error	Program
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))))
	29.4b	(.f64 1/4 (log.f64 (pow.f64 (pow.f64 (exp.f64 M) M) (/.f64 h (/.f64 d (.f64 D (/.f64 D d)))))))
	58.4b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) 3)))
	56.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d))))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	29.7b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (.f64 (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d)))) (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d))))) (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d)))))))
	60.5b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 h) (log.f64 (.f64 M M))) (+.f64 (-.f64 (log.f64 d) (+.f64 (log.f64 D) (log.f64 D))) (log.f64 d)))))
	60.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 h (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	55.7b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 h) (+.f64 (log.f64 M) (log.f64 M))) (log.f64 (.f64 (/.f64 d (*.f64 D D)) d)))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 (.f64 w h) D) D)) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
▶	22.9b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))
	27.5b	(.f64 1/4 (.f64 (.f64 (.f64 D D) (/.f64 h d)) (*.f64 M (/.f64 M d))))
	29.6b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (/.f64 d (.f64 D (/.f64 D d)))))
	60.4b	(.f64 (.f64 (/.f64 d (.f64 D D)) d) (/.f64 (/.f64 (.f64 c0 c0) h) (*.f64 w w)))
	29.3b	(.f64 1/4 (/.f64 (.f64 M (.f64 M h)) (.f64 (/.f64 d (*.f64 D D)) d)))
	29.8b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 1 D) (*.f64 (/.f64 d D) d))))
	26.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (/.f64 (*.f64 d d) h)))
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 c0) (+.f64 (log.f64 d) (log.f64 d))) (log.f64 (.f64 (.f64 w h) (.f64 D D))))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	28.9b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 (*.f64 (cbrt.f64 d) (cbrt.f64 d)) D) (/.f64 (cbrt.f64 d) (/.f64 D d)))))
	38.7b	(.f64 1/4 (/.f64 (.f64 (sqrt.f64 (.f64 M (.f64 M h))) (sqrt.f64 (.f64 M (.f64 M h)))) (.f64 (/.f64 d (.f64 D D)) d)))
	27.5b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (/.f64 h (/.f64 d (.f64 M M))))) d))
	30.3b	(.f64 1/4 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (/.f64 (*.f64 d d) h)))))
	27.7b	(.f64 1/4 (/.f64 h (/.f64 (.f64 d d) (.f64 (.f64 D M) (*.f64 D M)))))
	60.5b	(.f64 (sqrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) (sqrt.f64 (/.f64 c0 (.f64 2 w)))))

Compiler

Compiled 5421 to 1796 computations (66.9% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 D M) (*.f64 D M))
✓	0.7b	(/.f64 1 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h)))
✓	6.1b	(/.f64 d (.f64 (.f64 D M) (*.f64 D M)))
✓	6.5b	(.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h))

series457.0ms (1%)

Counts

4 → 156

Calls

4 calls:

207.0ms	(.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h))
131.0ms	(/.f64 1 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h)))
106.0ms	(/.f64 d (.f64 (.f64 D M) (*.f64 D M)))
12.0ms	(.f64 (.f64 D M) (*.f64 D M))

rewrite70.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

274×	`add-exp-log_binary64`
160×	`add-cbrt-cube_binary64`
128×	`prod-exp_binary64`
95×	`div-exp_binary64`
72×	`cbrt-unprod_binary64`

Counts

4 → 204

Calls

4 calls:

13.0ms	(/.f64 1 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h)))
13.0ms	(.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h))
6.0ms	(/.f64 d (.f64 (.f64 D M) (*.f64 D M)))
5.0ms	(.f64 (.f64 D M) (*.f64 D M))

simplify4.7s (10%)

Algorithm

1×	egg-herbie

Rules

312×	`associate-/r*_binary64`
272×	`times-frac_binary64`
229×	`associate-*l/_binary64`
226×	`associate-l_binary64`
222×	`associate-*r/_binary64`

Counts

360 → 265

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	7709
1	774	6249
2	3781	5929

prune595.0ms (1.3%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	251	14	265
Fresh	7	16	23
Picked	1	0	1
Done	0	0	0
Total	259	30	289

Error

11.2b

Counts

289 → 30

Alt Table

Status	Error	Program
	28.9b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 (*.f64 (cbrt.f64 d) (cbrt.f64 d)) D) (/.f64 (cbrt.f64 d) (/.f64 D d)))))
	20.2b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 1 (.f64 D M)) (.f64 (/.f64 d (*.f64 D M)) (/.f64 d h)))))
	20.7b	(.f64 1/4 (/.f64 1 (.f64 (.f64 d (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M))) (/.f64 1 h))))
	56.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d))))
	58.4b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) 3)))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
▶	19.3b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))))
	29.7b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (.f64 (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d)))) (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d))))) (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d)))))))
	60.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 h (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	55.7b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 h) (+.f64 (log.f64 M) (log.f64 M))) (log.f64 (.f64 (/.f64 d (*.f64 D D)) d)))))
	23.0b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h))) (cbrt.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h)))) (cbrt.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))))
	20.4b	(.f64 1/4 (.f64 (.f64 (/.f64 (.f64 D M) d) (*.f64 D M)) (/.f64 h d)))
	23.6b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 d (exp.f64 (log.f64 (.f64 (.f64 D M) (*.f64 D M))))) (/.f64 d h))))
	27.5b	(.f64 1/4 (.f64 (.f64 (.f64 D D) (/.f64 h d)) (*.f64 M (/.f64 M d))))
	44.4b	(.f64 1/4 (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))))
	60.4b	(.f64 (.f64 (/.f64 d (.f64 D D)) d) (/.f64 (/.f64 (.f64 c0 c0) h) (*.f64 w w)))
	20.6b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)) (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (/.f64 d h)))) (cbrt.f64 (/.f64 d h)))))
	29.3b	(.f64 1/4 (/.f64 (.f64 M (.f64 M h)) (.f64 (/.f64 d (*.f64 D D)) d)))
	43.2b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 (sqrt.f64 d) (.f64 D M)) (.f64 (/.f64 (sqrt.f64 d) (*.f64 D M)) (/.f64 d h)))))
	42.0b	(.f64 1/4 (/.f64 1 (.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)))) (/.f64 d h))))
	29.8b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 1 D) (*.f64 (/.f64 d D) d))))
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 c0) (+.f64 (log.f64 d) (log.f64 d))) (log.f64 (.f64 (.f64 w h) (.f64 D D))))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	60.5b	(.f64 (sqrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) (sqrt.f64 (/.f64 c0 (.f64 2 w)))))
	26.6b	(.f64 1/4 (.f64 (/.f64 1 (.f64 d d)) (.f64 (.f64 (.f64 D M) (*.f64 D M)) h)))
	20.6b	(.f64 1/4 (/.f64 1 (/.f64 (.f64 d (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))) h)))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))))
	30.2b	(.f64 1/4 (/.f64 1 (log.f64 (exp.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))))
	27.5b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (/.f64 h (/.f64 d (.f64 M M))))) d))
	43.1b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)) (sqrt.f64 d)) (/.f64 (sqrt.f64 d) h))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 (.f64 w h) D) D)) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))

Compiler

Compiled 8939 to 2946 computations (67% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))
✓	1.6b	(.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))))
✓	1.7b	(.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))
✓	5.8b	(/.f64 d (*.f64 D M))

series3.7s (7.8%)

Counts

4 → 144

Calls

4 calls:

1.9s	(.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))))
1.5s	(.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))
226.0ms	(.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))
26.0ms	(/.f64 d (*.f64 D M))

rewrite239.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

700×	`add-exp-log_binary64`
450×	`add-cbrt-cube_binary64`
321×	`cbrt-unprod_binary64`
321×	`prod-exp_binary64`
267×	`cbrt-undiv_binary64`

Counts

4 → 434

Calls

4 calls:

32.0ms	(.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))
27.0ms	(.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))
20.0ms	(.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))))
3.0ms	(/.f64 d (*.f64 D M))

simplify8.7s (18.5%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-*l/_binary64`
463×	`associate-/r*_binary64`
410×	`times-frac_binary64`
392×	`associate-/l*_binary64`
267×	`*-commutative_binary64`

Counts

578 → 666

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	617	24666
1	2207	19023

prune1.8s (3.8%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	661	5	666
Fresh	3	26	29
Picked	1	0	1
Done	0	0	0
Total	665	31	696

Error

11.0b

Counts

696 → 31

Alt Table

Status	Error	Program
	28.9b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 (*.f64 (cbrt.f64 d) (cbrt.f64 d)) D) (/.f64 (cbrt.f64 d) (/.f64 D d)))))
	20.2b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 1 (.f64 D M)) (.f64 (/.f64 d (*.f64 D M)) (/.f64 d h)))))
	20.7b	(.f64 1/4 (/.f64 1 (.f64 (.f64 d (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M))) (/.f64 1 h))))
	56.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d))))
	58.4b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) 3)))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	29.7b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (.f64 (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d)))) (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d))))) (cbrt.f64 (/.f64 d (.f64 D (/.f64 D d)))))))
	18.9b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 d) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 d (.f64 D M)))) (.f64 (cbrt.f64 h) (*.f64 D M))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))))
	60.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 h (.f64 D D)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	55.7b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 h) (+.f64 (log.f64 M) (log.f64 M))) (log.f64 (.f64 (/.f64 d (*.f64 D D)) d)))))
	23.0b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h))) (cbrt.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (.f64 D M))) (/.f64 d h)))) (cbrt.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))))
	41.3b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (expm1.f64 (log1p.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)))))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))))
	19.3b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (cbrt.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))) (cbrt.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))))) (cbrt.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))))
	20.4b	(.f64 1/4 (.f64 (.f64 (/.f64 (.f64 D M) d) (*.f64 D M)) (/.f64 h d)))
	23.6b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 d (exp.f64 (log.f64 (.f64 (.f64 D M) (*.f64 D M))))) (/.f64 d h))))
	60.4b	(.f64 (.f64 (/.f64 d (.f64 D D)) d) (/.f64 (/.f64 (.f64 c0 c0) h) (*.f64 w w)))
	20.6b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)) (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (/.f64 d h)))) (cbrt.f64 (/.f64 d h)))))
	29.3b	(.f64 1/4 (/.f64 (.f64 M (.f64 M h)) (.f64 (/.f64 d (*.f64 D D)) d)))
	43.2b	(.f64 1/4 (/.f64 1 (.f64 (/.f64 (sqrt.f64 d) (.f64 D M)) (.f64 (/.f64 (sqrt.f64 d) (*.f64 D M)) (/.f64 d h)))))
	19.3b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (/.f64 (/.f64 d (.f64 D M)) (.f64 D M)))) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 d)) (cbrt.f64 (cbrt.f64 d))) 1)) (/.f64 (cbrt.f64 (cbrt.f64 d)) (cbrt.f64 h)))))
	29.8b	(.f64 1/4 (/.f64 (.f64 h (.f64 M M)) (.f64 (/.f64 1 D) (*.f64 (/.f64 d D) d))))
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 c0) (+.f64 (log.f64 d) (log.f64 d))) (log.f64 (.f64 (.f64 w h) (.f64 D D))))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	60.5b	(.f64 (sqrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) (sqrt.f64 (.f64 (fma.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d) M) (-.f64 (.f64 (/.f64 (/.f64 c0 w) h) (.f64 (/.f64 d (.f64 D D)) d)) M)))) (sqrt.f64 (/.f64 c0 (.f64 2 w)))))
	26.6b	(.f64 1/4 (.f64 (/.f64 1 (.f64 d d)) (.f64 (.f64 (.f64 D M) (*.f64 D M)) h)))
	20.6b	(.f64 1/4 (/.f64 1 (/.f64 (.f64 d (/.f64 (/.f64 d (.f64 D M)) (.f64 D M))) h)))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))))
	30.2b	(.f64 1/4 (/.f64 1 (log.f64 (exp.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))))
	53.2b	(.f64 1/4 (/.f64 1 (.f64 (.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h)) (exp.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 h))) (log.f64 (/.f64 (/.f64 d (.f64 D M)) (*.f64 D M)))))) (/.f64 (cbrt.f64 d) (cbrt.f64 h)))))
	27.5b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (/.f64 h (/.f64 d (.f64 M M))))) d))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 (.f64 w h) D) D)) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	44.4b	(.f64 1/4 (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 d (.f64 (.f64 D M) (*.f64 D M))) (/.f64 d h))))))

Compiler

Compiled 30047 to 6421 computations (78.6% saved)

regimes2.7s (5.9%)

Accuracy

Total 7.4b remaining (40.5%)

Threshold costs 0b (0%)

Counts

204 → 4

Compiler

Compiled 85524 to 42521 computations (50.3% saved)

bsearch15.0ms (0%)

Compiler: Compiled 58 to 21 computations (63.8% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
5×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`cancel-sign-sub-inv_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	382
1	85	382
2	93	382
3	97	382
4	99	382

soundness25.0ms (0.1%)

Compiler: Compiled 1065 to 759 computations (28.7% saved)

end433.0ms (0.9%)

Compiler: Compiled 1738 to 758 computations (56.4% saved)

Details

analyze2.6s (5.5%)

sample11.5s (24.6%)

simplify66.0ms (0.1%)

prune9.0ms (0%)

localize18.0ms (0%)

series1.0s (2.2%)

rewrite116.0ms (0.2%)

simplify5.0s (10.7%)

prune606.0ms (1.3%)

localize10.0ms (0%)

series267.0ms (0.6%)

rewrite39.0ms (0.1%)

simplify1.8s (4%)

prune344.0ms (0.7%)

localize14.0ms (0%)

series457.0ms (1%)

rewrite70.0ms (0.1%)

simplify4.7s (10%)

prune595.0ms (1.3%)

localize14.0ms (0%)

series3.7s (7.8%)

rewrite239.0ms (0.5%)

simplify8.7s (18.5%)

prune1.8s (3.8%)

regimes2.7s (5.9%)

bsearch15.0ms (0%)

simplify10.0ms (0%)

soundness25.0ms (0.1%)

end433.0ms (0.9%)

Profiling