Details

analyze2.8s (14.5%)

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)

sample9.4s (48.6%)

Results

3.3s	16401×	body	128	invalid
2.2s	2192×	body	4096	valid
1.5s	1199×	body	8192	valid
1.1s	1283×	body	2048	valid
527.0ms	2469×	body	128	valid
429.0ms	657×	body	1024	valid
159.0ms	311×	body	512	valid
53.0ms	145×	body	256	valid
45.0ms	62×	body	1024	invalid
41.0ms	54×	body	2048	invalid
14.0ms	15×	body	4096	invalid
13.0ms	28×	body	512	invalid
11.0ms	8×	body	8192	exit
5.0ms	15×	body	256	invalid

Compiler

Compiled 176 to 65 computations (63.1% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
518×	`distribute-neg-frac_binary64`
416×	`fma-def_binary64`
304×	`associate-/l*_binary64`
217×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	64	74
2	296	74
3	3103	67
4	4218	67
5	5365	67

prune5.0ms (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

58.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	62.1b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (.f64 M M)))))
▶	58.1b	(.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

62.1b

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

▶

58.1b

(*.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 130 computations (59.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	12.6b	(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)))
✓	13.4b	(.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)))))
✓	16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
✓	29.1b	(+.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))))

series1.4s (7.3%)

Counts

4 → 276

Calls

4 calls:

544.0ms	(.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)))))
339.0ms	(+.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))))
320.0ms	(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)))

rewrite147.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-cbrt-cube_binary64`
82×	`add-exp-log_binary64`
43×	`cbrt-unprod_binary64`
43×	`prod-exp_binary64`
17×	`cbrt-undiv_binary64`

Counts

4 → 124

Calls

4 calls:

44.0ms	(.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)))))
41.0ms	(+.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))))
29.0ms	(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)))
10.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify331.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-/r*_binary64`
531×	`associate-/l*_binary64`
317×	`associate-*l/_binary64`
229×	`fma-def_binary64`
172×	`*-commutative_binary64`

Counts

400 → 312

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	24212
1	1649	21889
2	5007	21889

prune742.0ms (3.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	417	15	432
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	419	15	434

Error

30.8b

Counts

434 → 15

Alt Table

Status	Error	Program
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (log.f64 (.f64 c0 (.f64 d d))) (+.f64 (+.f64 (log.f64 w) (log.f64 h)) (log.f64 (.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)))))
	60.4b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	48.4b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	57.8b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
	58.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
▶	37.2b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	57.8b	(.f64 (/.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) 2) (.f64 (/.f64 (cbrt.f64 c0) 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))))))
	60.5b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	42.6b	(.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))))
	58.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 c0 (.f64 d d)) (/.f64 1 (.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)) (fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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)))))
	60.1b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0)) -1/2))))
	60.7b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))

Compiler

Compiled 31209 to 8171 computations (73.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	9.4b	(*.f64 (pow.f64 M 2) h)
✓	13.6b	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))
✓	15.8b	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (pow.f64 d 2))

series182.0ms (0.9%)

Counts

3 → 40

Calls

3 calls:

137.0ms	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (pow.f64 d 2))
34.0ms	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))
11.0ms	(*.f64 (pow.f64 M 2) h)

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`add-exp-log_binary64`
87×	`prod-exp_binary64`
42×	`pow-exp_binary64`
42×	`pow-to-exp_binary64`
39×	`div-exp_binary64`

Counts

3 → 133

Calls

3 calls:

8.0ms	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (pow.f64 d 2))
6.0ms	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))
4.0ms	(*.f64 (pow.f64 M 2) h)

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

468×	`associate-*l/_binary64`
391×	`associate-/l/_binary64`
373×	`*-commutative_binary64`
370×	`associate-*r/_binary64`
310×	`fma-def_binary64`

Counts

173 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	3095
1	332	2730
2	1361	2677
3	4128	2571
4	4913	2571
5	5086	2571

prune342.0ms (1.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	146	14	160
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	150	25	175

Error

22.5b

Counts

175 → 25

Alt Table

Status	Error	Program
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (log.f64 (.f64 c0 (.f64 d d))) (+.f64 (+.f64 (log.f64 w) (log.f64 h)) (log.f64 (.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)))))
	60.4b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	56.0b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (.f64 (log.f64 D) 2) (+.f64 (log.f64 (pow.f64 M 2)) (log.f64 h)))) (pow.f64 d 2)))
	51.8b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) (pow.f64 d 2)))
	57.8b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
▶	34.4b	(.f64 1/4 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (*.f64 D D) d)) d))
	54.9b	(.f64 1/4 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (fma.f64 (log.f64 d) -2 (log.f64 h)))))
	35.2b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 (.f64 (cbrt.f64 M) (cbrt.f64 M)) 2) (*.f64 (pow.f64 (cbrt.f64 M) 2) h))) (pow.f64 d 2)))
	58.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	58.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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)))))
	36.9b	(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) h) (pow.f64 d 2)))
	60.1b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0)) -1/2))))
	35.2b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (.f64 (pow.f64 M 2) h))) (pow.f64 d 2)))
	60.7b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	49.7b	(.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 D) 2) (.f64 D (.f64 h (*.f64 M M)))) (pow.f64 d 2)))
	50.3b	(*.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 D 2)) (+.f64 (log.f64 (pow.f64 M 2)) (log.f64 h))) (log.f64 (pow.f64 d 2)))))
	60.5b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	34.7b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 M (.f64 M h))) (pow.f64 d 2)))
	34.7b	(.f64 1/4 (/.f64 (pow.f64 D 2) (/.f64 d (/.f64 (.f64 h (*.f64 M M)) d))))
	35.6b	(.f64 1/4 (.f64 (/.f64 (pow.f64 D 2) (pow.f64 (.f64 (cbrt.f64 d) (cbrt.f64 d)) 2)) (/.f64 (.f64 (pow.f64 M 2) h) (pow.f64 (cbrt.f64 d) 2))))
	56.1b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 D 2)) (+.f64 (.f64 (log.f64 M) 2) (log.f64 h))) (log.f64 (pow.f64 d 2)))))
	60.0b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 D 2)) (+.f64 (.f64 (log.f64 M) 2) (log.f64 h))) (*.f64 (log.f64 d) 2))))
	57.8b	(.f64 (/.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) 2) (.f64 (/.f64 (cbrt.f64 c0) 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 5228 to 3109 computations (40.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d)
✓	7.8b	(/.f64 (*.f64 D D) d)
✓	9.4b	(.f64 h (.f64 M M))
✓	12.9b	(.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d))

series237.0ms (1.2%)

Counts

4 → 144

Calls

4 calls:

142.0ms	(/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d)
73.0ms	(.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d))
12.0ms	(/.f64 (*.f64 D D) d)
9.0ms	(.f64 h (.f64 M M))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-cbrt-cube_binary64`
97×	`add-exp-log_binary64`
46×	`cbrt-unprod_binary64`
46×	`prod-exp_binary64`
24×	`cbrt-undiv_binary64`

Counts

4 → 124

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d)
9.0ms	(.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d))
4.0ms	(.f64 h (.f64 M M))
4.0ms	(/.f64 (*.f64 D D) d)

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

542×	`*-commutative_binary64`
351×	`fma-def_binary64`
241×	`fma-neg_binary64`
224×	`unswap-sqr_binary64`
219×	`associate-l_binary64`

Counts

268 → 176

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	169	4803
1	380	3954
2	1769	3954
3	3122	3917
4	4684	3896
5	4971	3896

prune367.0ms (1.9%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	162	14	176
Fresh	7	17	24
Picked	1	0	1
Done	0	0	0
Total	170	31	201

Error

19.8b

Counts

201 → 31

Alt Table

Status	Error	Program
	33.8b	(.f64 1/4 (/.f64 (.f64 h (.f64 (.f64 M M) (/.f64 (*.f64 D D) d))) d))
	55.1b	(.f64 1/4 (/.f64 (.f64 (.f64 h (.f64 M M)) (exp.f64 (-.f64 (+.f64 (log.f64 D) (log.f64 D)) (log.f64 d)))) d))
	60.5b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	59.4b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (+.f64 (log.f64 h) (+.f64 (log.f64 M) (log.f64 M))) (log.f64 (/.f64 (.f64 D D) d)))) d))
▶	31.3b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (*.f64 D D) d)) d))
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (log.f64 (.f64 c0 (.f64 d d))) (+.f64 (+.f64 (log.f64 w) (log.f64 h)) (log.f64 (.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)))))
	60.4b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	56.0b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (.f64 (log.f64 D) 2) (+.f64 (log.f64 (pow.f64 M 2)) (log.f64 h)))) (pow.f64 d 2)))
	51.8b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) (pow.f64 d 2)))
	57.8b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
	49.4b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (neg.f64 (log.f64 (/.f64 d h))))) d))
	34.4b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 h (.f64 M M))) (cbrt.f64 (.f64 h (.f64 M M)))) (cbrt.f64 (.f64 h (.f64 M M)))) (/.f64 (*.f64 D D) d)) d))
	34.7b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 M (.f64 M h))) (pow.f64 d 2)))
	32.7b	(.f64 1/4 (.f64 (.f64 (.f64 M M) h) (*.f64 (/.f64 D d) (/.f64 D d))))
	52.0b	(.f64 1/4 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (neg.f64 (log.f64 (/.f64 (*.f64 d d) h))))))
	54.9b	(.f64 1/4 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (fma.f64 (log.f64 d) -2 (log.f64 h)))))
	35.2b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 (.f64 (cbrt.f64 M) (cbrt.f64 M)) 2) (*.f64 (pow.f64 (cbrt.f64 M) 2) h))) (pow.f64 d 2)))
	58.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	58.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	31.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D (.f64 (*.f64 M M) h)) (/.f64 D d)) d))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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)))))
	32.0b	(.f64 1/4 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (cbrt.f64 d) (cbrt.f64 d))) (.f64 (/.f64 D (cbrt.f64 d)) (/.f64 D d))))
	60.1b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0)) -1/2))))
	35.2b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (.f64 (pow.f64 M 2) h))) (pow.f64 d 2)))
	34.4b	(.f64 1/4 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d)) (cbrt.f64 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d))) (cbrt.f64 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (*.f64 D D) d)) d))))
	60.7b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	45.0b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 h (*.f64 M M)) (/.f64 D (sqrt.f64 d))) (/.f64 D (sqrt.f64 d))) d))
	31.6b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 D (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (/.f64 D (cbrt.f64 d))) d))
	34.3b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d)))
	57.8b	(.f64 (/.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) 2) (.f64 (/.f64 (cbrt.f64 c0) 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 6191 to 2165 computations (65% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 h M) M)
✓	5.1b	(/.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d)) d)
	7.8b	(/.f64 (*.f64 D D) d)
✓	12.9b	(.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d))

series215.0ms (1.1%)

Counts

3 → 120

Calls

3 calls:

136.0ms	(/.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d)) d)
70.0ms	(.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d))
9.0ms	(.f64 (.f64 h M) M)

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-cbrt-cube_binary64`
91×	`add-exp-log_binary64`
45×	`cbrt-unprod_binary64`
45×	`prod-exp_binary64`
22×	`cbrt-undiv_binary64`

Counts

3 → 100

Calls

3 calls:

10.0ms	(/.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d)) d)
9.0ms	(.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d))
4.0ms	(.f64 (.f64 h M) M)

simplify168.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-/r/_binary64`
327×	`log-prod_binary64`
312×	`associate-l_binary64`
239×	`associate-/l*_binary64`
221×	`log-div_binary64`

Counts

220 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	4361
1	390	3557
2	1908	3557
3	4130	3530
4	4871	3530
5	4973	3530
6	4987	3530

prune451.0ms (2.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	168	6	174
Fresh	5	25	30
Picked	1	0	1
Done	0	0	0
Total	174	31	205

Error

18.2b

Counts

205 → 31

Alt Table

Status	Error	Program
	33.8b	(.f64 1/4 (/.f64 (.f64 h (.f64 (.f64 M M) (/.f64 (*.f64 D D) d))) d))
	55.1b	(.f64 1/4 (/.f64 (.f64 (.f64 h (.f64 M M)) (exp.f64 (-.f64 (+.f64 (log.f64 D) (log.f64 D)) (log.f64 d)))) d))
	60.5b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	27.3b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 (*.f64 h M) M) (/.f64 D 1)) (/.f64 D d)) d))
	34.0b	(.f64 1/4 (/.f64 (exp.f64 (log.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (*.f64 D D) d)))) d))
	63.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (log.f64 (.f64 c0 (.f64 d d))) (+.f64 (+.f64 (log.f64 w) (log.f64 h)) (log.f64 (.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)))))
	60.4b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	56.0b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (.f64 (log.f64 D) 2) (+.f64 (log.f64 (pow.f64 M 2)) (log.f64 h)))) (pow.f64 d 2)))
	51.8b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) (pow.f64 d 2)))
	57.8b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
	49.4b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (neg.f64 (log.f64 (/.f64 d h))))) d))
	34.4b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 h (.f64 M M))) (cbrt.f64 (.f64 h (.f64 M M)))) (cbrt.f64 (.f64 h (.f64 M M)))) (/.f64 (*.f64 D D) d)) d))
	32.7b	(.f64 1/4 (.f64 (.f64 (.f64 M M) h) (*.f64 (/.f64 D d) (/.f64 D d))))
	52.0b	(.f64 1/4 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (neg.f64 (log.f64 (/.f64 (*.f64 d d) h))))))
	54.9b	(.f64 1/4 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (fma.f64 (log.f64 d) -2 (log.f64 h)))))
	28.8b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 D (/.f64 d D))) d))
	58.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	58.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	31.3b	(.f64 1/4 (.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 (.f64 D D) d)) (/.f64 1 d)))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	26.9b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 D (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (/.f64 D (cbrt.f64 d))) d))
	31.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D (.f64 (*.f64 M M) h)) (/.f64 D d)) d))
	59.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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)))))
	32.0b	(.f64 1/4 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (cbrt.f64 d) (cbrt.f64 d))) (.f64 (/.f64 D (cbrt.f64 d)) (/.f64 D d))))
	60.1b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0)) -1/2))))
	35.2b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (.f64 (pow.f64 M 2) h))) (pow.f64 d 2)))
	34.4b	(.f64 1/4 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d)) (cbrt.f64 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (.f64 D D) d)) d))) (cbrt.f64 (/.f64 (.f64 (.f64 h (.f64 M M)) (/.f64 (*.f64 D D) d)) d))))
	60.7b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	34.3b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M M) h) (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d)))
	29.8b	(.f64 1/4 (/.f64 (.f64 (.f64 h M) (.f64 M (/.f64 (*.f64 D D) d))) d))
	57.8b	(.f64 (/.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) 2) (.f64 (/.f64 (cbrt.f64 c0) 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 5019 to 1563 computations (68.9% saved)

regimes1.6s (8.4%)

Accuracy

Total 8.3b remaining (33.3%)

Threshold costs 0b (0%)

Counts

119 → 3

Compiler

Compiled 49959 to 25749 computations (48.5% saved)

bsearch10.0ms (0%)

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	300
1	64	300
2	71	300
3	75	300
4	77	300
5	77	300

end447.0ms (2.3%)

Compiler: Compiled 1521 to 683 computations (55.1% saved)

Details

analyze2.8s (14.5%)

sample9.4s (48.6%)

simplify44.0ms (0.2%)

prune5.0ms (0%)

localize22.0ms (0.1%)

series1.4s (7.3%)

rewrite147.0ms (0.8%)

simplify331.0ms (1.7%)

prune742.0ms (3.8%)

localize10.0ms (0.1%)

series182.0ms (0.9%)

rewrite34.0ms (0.2%)

simplify126.0ms (0.6%)

prune342.0ms (1.8%)

localize11.0ms (0.1%)

series237.0ms (1.2%)

rewrite41.0ms (0.2%)

simplify152.0ms (0.8%)

prune367.0ms (1.9%)

localize10.0ms (0.1%)

series215.0ms (1.1%)

rewrite38.0ms (0.2%)

simplify168.0ms (0.9%)

prune451.0ms (2.3%)

regimes1.6s (8.4%)

bsearch10.0ms (0%)

simplify8.0ms (0%)

end447.0ms (2.3%)

Profiling