Details

analyze1.8s (21.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.3%	93.7%	0
0%	6.3%	93.7%	1
0%	6.3%	93.7%	2
0%	6.3%	93.7%	3
0%	6.3%	93.7%	4
0%	6.3%	93.7%	5
0.8%	5.5%	93.7%	6
0.8%	5.5%	93.7%	7
1%	4.9%	94.1%	8
1.4%	4.4%	94.2%	9
1.4%	3.9%	94.8%	10
1.5%	3%	95.5%	11
1.7%	2.7%	95.6%	12
1.7%	2.2%	96.1%	13
1.8%	1.6%	96.6%	14

Compiler

Compiled 44 to 30 computations (31.8% saved)

sample3.0s (36%)

Results

1.9s	8256×	body	128	valid
976.0ms	4462×	body	128	invalid

Compiler

Compiled 109 to 73 computations (33% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

664×	`div-sub_binary32`
600×	`fma-neg_binary32`
543×	`fma-def_binary32`
191×	`distribute-neg-in_binary32`
181×	`unsub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	26	28
2	40	28
3	78	28
4	139	28
5	204	28
6	319	28
7	595	28
8	1065	28
9	1967	28
10	3608	28
11	4882	28

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

3.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	3.0b	(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))

Compiler

Compiled 81 to 48 computations (40.7% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))
✓	0.0b	(/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))
✓	0.1b	(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))
✓	2.6b	(sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))

series284.0ms (3.4%)

Counts

4 → 104

Calls

4 calls:

210.0ms	(/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))
31.0ms	(sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))
29.0ms	(-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))
12.0ms	(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))

rewrite132.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`prod-diff_binary32`
288×	`egg-rr`
153×	`add-sqr-sqrt_binary32`
147×	`add-cbrt-cube_binary32`
147×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	311	98
2	4262	98

Stop Event

1×	node limit

Counts

4 → 288

Calls

4 calls:

120.0ms	(-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))
120.0ms	(/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))))))
120.0ms	(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))))
120.0ms	(sqrt.f32 (-.f32 (.f32 eta eta) (/.f32 (.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))))

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

321×	`cancel-sign-sub-inv_binary32`
240×	`fma-def_binary32`
196×	`times-frac_binary32`
189×	`associate-/r*_binary32`
172×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4664
1	891	4519
2	3800	4517

Stop Event

1×	node limit

Counts

392 → 379

prune513.0ms (6.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	370	9	379
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	371	9	380

Error

0.3b

Counts

380 → 9

Alt Table

Status	Error	Program
	3.0b	(asin.f32 (/.f32 h (sqrt.f32 (fma.f32 eta eta (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_O)) (sqrt.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_O))))))))
	3.2b	(asin.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O))) h) -1))
	10.0b	(asin.f32 (/.f32 h (sqrt.f32 (/.f32 (-.f32 (pow.f32 eta 4) (/.f32 (pow.f32 sinTheta_O 4) (-.f32 1 (.f32 sinTheta_O sinTheta_O)))) (fma.f32 eta eta (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O))))))
	3.8b	(asin.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 eta 2) (.f32 (pow.f32 sinTheta_O 2) (sqrt.f32 (/.f32 1 (-.f32 1 (pow.f32 sinTheta_O 2)))))))) h))
	3.2b	(asin.f32 (.f32 h (pow.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_O)))) sinTheta_O)) -1/2)))
▶	0.9b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta)))))
	3.6b	(asin.f32 (/.f32 h (pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))) 3)))
	18.9b	(pow.f32 (sqrt.f32 (asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))))) 2)
	3.6b	(pow.f32 (cbrt.f32 (asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))))) 3)

Compiler

Compiled 18602 to 11202 computations (39.8% saved)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta))
✓	0.0b	(/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta))))
✓	0.1b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta)))))
✓	4.2b	(/.f32 (pow.f32 sinTheta_O 2) eta)

series109.0ms (1.3%)

Counts

4 → 24

Calls

4 calls:

75.0ms	(/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta))))
12.0ms	(*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta))
11.0ms	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta)))))
10.0ms	(/.f32 (pow.f32 sinTheta_O 2) eta)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`prod-diff_binary32`
138×	`add-sqr-sqrt_binary32`
133×	`log1p-expm1-u_binary32`
133×	`expm1-log1p-u_binary32`
131×	`add-cbrt-cube_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	274	51
2	3717	51

Stop Event

1×	node limit

Counts

4 → 124

Calls

4 calls:

65.0ms	(*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta))
65.0ms	(/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta))))
65.0ms	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) eta)))))
65.0ms	(/.f32 (pow.f32 sinTheta_O 2) eta)

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary32`
363×	`fma-neg_binary32`
334×	`times-frac_binary32`
296×	`distribute-lft-neg-in_binary32`
295×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	804
1	178	798
2	612	786
3	3006	780

Stop Event

1×	node limit

Counts

148 → 139

prune147.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	139	9	148

Error

0.1b

Counts

148 → 9

Alt Table

Status	Error	Program
	3.6b	(pow.f32 (cbrt.f32 (asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))))) 3)
	1.1b	(asin.f32 (.f32 h (/.f32 1 (+.f32 eta (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) eta) -1/2)))))
	17.8b	(pow.f32 (sqrt.f32 (asin.f32 (/.f32 h (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2))))) 2)
	10.0b	(asin.f32 (/.f32 h (sqrt.f32 (/.f32 (-.f32 (pow.f32 eta 4) (/.f32 (pow.f32 sinTheta_O 4) (-.f32 1 (.f32 sinTheta_O sinTheta_O)))) (fma.f32 eta eta (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O))))))
	3.8b	(asin.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 eta 2) (.f32 (pow.f32 sinTheta_O 2) (sqrt.f32 (/.f32 1 (-.f32 1 (pow.f32 sinTheta_O 2)))))))) h))
	1.1b	(asin.f32 (pow.f32 (/.f32 (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2)) h) -1))
	3.6b	(asin.f32 (/.f32 h (pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))) 3)))
▶	0.8b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)))))
	1.5b	(asin.f32 (.f32 (pow.f32 (cbrt.f32 h) 2) (.f32 (cbrt.f32 h) (/.f32 1 (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2))))))

Compiler

Compiled 3776 to 2114 computations (44% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2))))
✓	0.1b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)))))
✓	0.2b	(pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)
✓	0.3b	(/.f32 sinTheta_O (sqrt.f32 eta))

series120.0ms (1.4%)

Counts

4 → 93

Calls

4 calls:

73.0ms	(/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2))))
20.0ms	(pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)
18.0ms	(/.f32 sinTheta_O (sqrt.f32 eta))
8.0ms	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)))))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary32`
144×	`add-sqr-sqrt_binary32`
141×	`egg-rr`
139×	`log1p-expm1-u_binary32`
139×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	291	47
2	3834	47

Stop Event

1×	node limit

Counts

4 → 141

Calls

4 calls:

67.0ms	(/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2))))
67.0ms	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)))))
67.0ms	(pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)
67.0ms	(/.f32 sinTheta_O (sqrt.f32 eta))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

538×	`cancel-sign-sub-inv_binary32`
366×	`fma-neg_binary32`
334×	`times-frac_binary32`
314×	`distribute-rgt-neg-in_binary32`
235×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1734
1	208	1730
2	666	1630
3	3107	1624

Stop Event

1×	node limit

Counts

234 → 165

prune177.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	163	11	174

Error

0.1b

Counts

174 → 11

Alt Table

Status	Error	Program
	0.8b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 3)) 2)))))
	3.8b	(asin.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 eta 2) (.f32 (pow.f32 sinTheta_O 2) (sqrt.f32 (/.f32 1 (-.f32 1 (pow.f32 sinTheta_O 2)))))))) h))
	3.6b	(pow.f32 (cbrt.f32 (asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))))) 3)
	1.1b	(asin.f32 (.f32 h (/.f32 1 (+.f32 eta (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) eta) -1/2)))))
▶	0.8b	(asin.f32 (/.f32 h (-.f32 eta (.f32 1/2 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))))))
	17.8b	(pow.f32 (sqrt.f32 (asin.f32 (/.f32 h (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2))))) 2)
	10.0b	(asin.f32 (/.f32 h (sqrt.f32 (/.f32 (-.f32 (pow.f32 eta 4) (/.f32 (pow.f32 sinTheta_O 4) (-.f32 1 (.f32 sinTheta_O sinTheta_O)))) (fma.f32 eta eta (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O))))))
	1.1b	(asin.f32 (pow.f32 (/.f32 (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2)) h) -1))
	3.6b	(asin.f32 (/.f32 h (pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))) 3)))
✓	0.8b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)))))
	1.5b	(asin.f32 (.f32 (pow.f32 (cbrt.f32 h) 2) (.f32 (cbrt.f32 h) (/.f32 1 (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2))))))

Compiler

Compiled 4338 to 2406 computations (44.5% saved)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(asin.f32 (/.f32 h (-.f32 eta (.f32 1/2 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))))))
✓	0.1b	(*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta)))
	0.3b	(/.f32 sinTheta_O (sqrt.f32 eta))
✓	2.3b	(/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))

series48.0ms (0.6%)

Counts

3 → 68

Calls

3 calls:

22.0ms

(*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta)))

17.0ms

(/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))

9.0ms

(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))))))

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`prod-diff_binary32`
152×	`add-sqr-sqrt_binary32`
144×	`log1p-expm1-u_binary32`
144×	`expm1-log1p-u_binary32`
143×	`add-cbrt-cube_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	298	34
2	4364	34

Stop Event

1×	node limit

Counts

3 → 105

Calls

3 calls:

69.0ms

(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))))))

69.0ms

(*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta)))

69.0ms

(/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-/r/_binary32`
408×	`times-frac_binary32`
393×	`associate-/l/_binary32`
286×	`cancel-sign-sub-inv_binary32`
237×	`fma-def_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	940
1	44	940
2	82	876
3	169	876
4	474	876
5	1998	872

Stop Event

1×	node limit

Counts

173 → 113

prune189.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	150	11	161

Error

0.1b

Counts

161 → 11

Alt Table

Status	Error	Program
	0.8b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 3)) 2)))))
	3.8b	(asin.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 eta 2) (.f32 (pow.f32 sinTheta_O 2) (sqrt.f32 (/.f32 1 (-.f32 1 (pow.f32 sinTheta_O 2)))))))) h))
	3.6b	(pow.f32 (cbrt.f32 (asin.f32 (/.f32 h (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))))) 3)
	1.1b	(asin.f32 (.f32 h (/.f32 1 (+.f32 eta (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) eta) -1/2)))))
✓	0.8b	(asin.f32 (/.f32 h (-.f32 eta (.f32 1/2 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_O (sqrt.f32 eta))) (sqrt.f32 eta))))))
	17.8b	(pow.f32 (sqrt.f32 (asin.f32 (/.f32 h (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2))))) 2)
	10.0b	(asin.f32 (/.f32 h (sqrt.f32 (/.f32 (-.f32 (pow.f32 eta 4) (/.f32 (pow.f32 sinTheta_O 4) (-.f32 1 (.f32 sinTheta_O sinTheta_O)))) (fma.f32 eta eta (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O))))))
	1.1b	(asin.f32 (pow.f32 (/.f32 (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2)) h) -1))
	3.6b	(asin.f32 (/.f32 h (pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 eta eta) (.f32 (/.f32 sinTheta_O (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O)))) sinTheta_O)))) 3)))
✓	0.8b	(asin.f32 (/.f32 h (-.f32 eta (*.f32 1/2 (pow.f32 (/.f32 sinTheta_O (sqrt.f32 eta)) 2)))))
	1.5b	(asin.f32 (.f32 (pow.f32 (cbrt.f32 h) 2) (.f32 (cbrt.f32 h) (/.f32 1 (+.f32 eta (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) eta) -1/2))))))

Compiler

Compiled 3907 to 2027 computations (48.1% saved)

regimes1.0s (12.1%)

Accuracy

Total 0.2b remaining (63.8%)

Threshold costs 0.2b (63.8%)

Counts

91 → 2

Compiler

Compiled 23945 to 16510 computations (31.1% saved)

bsearch0.0ms (0%)

Steps

Iters	Range		Point
0	0.0	2.942726775082116e-44	1.401298464324817e-44

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary32`
5×	`sub-neg_binary32`
3×	`*-commutative_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	54
1	29	54
2	40	54
3	46	54
4	49	54

Stop Event

1×

saturated

end162.0ms (1.9%)

Compiler: Compiled 312 to 213 computations (31.7% saved)

Details

analyze1.8s (21.8%)

sample3.0s (36%)

simplify37.0ms (0.4%)

prune2.0ms (0%)

localize41.0ms (0.5%)

series284.0ms (3.4%)

rewrite132.0ms (1.6%)

simplify92.0ms (1.1%)

prune513.0ms (6.2%)

localize39.0ms (0.5%)

series109.0ms (1.3%)

rewrite69.0ms (0.8%)

simplify35.0ms (0.4%)

prune147.0ms (1.8%)

localize33.0ms (0.4%)

series120.0ms (1.4%)

rewrite70.0ms (0.8%)

simplify49.0ms (0.6%)

prune177.0ms (2.1%)

localize39.0ms (0.5%)

series48.0ms (0.6%)

rewrite72.0ms (0.9%)

simplify40.0ms (0.5%)

prune189.0ms (2.3%)

regimes1.0s (12.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end162.0ms (1.9%)

Profiling