Details

analyze124.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0.1%	0.1%	99.8%	3
0.1%	0.1%	99.8%	4
0.1%	0%	99.8%	5
0.1%	0%	99.8%	6
0.1%	0%	99.8%	7
0.1%	0%	99.8%	8
0.2%	0%	99.8%	9
0.2%	0%	99.8%	10
0.2%	0%	99.8%	11
0.2%	0%	99.8%	12
0.2%	0%	99.8%	13
0.2%	0%	99.8%	14

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.9s (36.7%)

Results

1.6s

8256×

body

128

valid

Compiler

Compiled 63 to 46 computations (27% saved)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-def_binary32`
230×	`fma-neg_binary32`
88×	`cancel-sign-sub-inv_binary32`
79×	`distribute-rgt-in_binary32`
67×	`distribute-lft-in_binary32`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	22	13
2	43	13
3	77	13
4	93	13
5	131	13
6	170	13
7	217	13
8	340	13
9	471	13
10	481	13
11	557	13
12	569	13
13	676	13
14	699	13
15	700	13
16	645	13

prune4.0ms (0.1%)

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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
	14.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

Compiler

Compiled 61 to 42 computations (31.1% saved)

localize23.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u0))
✓	0.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))

series185.0ms (3.6%)

Counts

2 → 36

Calls

2 calls:

183.0ms	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
2.0ms	(log1p.f32 (neg.f32 u0))

rewrite44.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

522×	`expm1-log1p-u_binary32`
521×	`log1p-expm1-u_binary32`
447×	`unpow-prod-down_binary32`
318×	`log-prod_binary32`
153×	`pow2_binary32`

Counts

2 → 50

Calls

2 calls:

43.0ms	(log1p.f32 (neg.f32 u0))
43.0ms	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	12
2	1403	12
3	5265	12
0	0	0
1	0	0

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-neg_binary32`
468×	`fma-def_binary32`
439×	`cancel-sign-sub-inv_binary32`
366×	`times-frac_binary32`
263×	`sub-neg_binary32`

Counts

86 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	752
1	284	698
2	892	650
3	2908	644
4	4824	644
5	5251	644

prune50.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	92	10	102

Error

0.1b

Counts

102 → 10

Alt Table

Status	Error	Program
	7.7b	(*.f32 u0 (pow.f32 alpha 2))
✓	0.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
	14.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	3.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0)))
	8.5b	(pow.f32 (*.f32 alpha (sqrt.f32 (log1p.f32 u0))) 2)
	8.5b	(pow.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) (log1p.f32 u0))) 3)
▶	2.2b	(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))
	2.2b	(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (+.f32 (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))) (+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (*.f32 u0 (pow.f32 alpha 2)))))
	2.8b	(.f32 (.f32 alpha alpha) (fma.f32 1/3 (pow.f32 u0 3) (fma.f32 1/2 (*.f32 u0 u0) u0)))
	4.0b	(.f32 alpha (.f32 alpha (fma.f32 1/2 (*.f32 u0 u0) u0)))

Compiler

Compiled 1767 to 993 computations (43.8% saved)

localize50.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))
✓	0.3b	(*.f32 u0 1/3)
✓	0.3b	(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))
✓	0.4b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))

series41.0ms (0.8%)

Counts

4 → 60

Calls

4 calls:

31.0ms	(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))
4.0ms	(*.f32 u0 1/3)
3.0ms	(fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))
3.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))

rewrite75.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

292×	`expm1-udef_binary32`
292×	`log1p-udef_binary32`
168×	`add-sqr-sqrt_binary32`
168×	`log1p-expm1-u_binary32`
168×	`expm1-log1p-u_binary32`

Counts

4 → 93

Calls

4 calls:

72.0ms	(fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))
72.0ms	(*.f32 u0 1/3)
72.0ms	(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))))))
72.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	359	60
2	4208	60
3	4895	60
0	0	0
1	0	0

simplify219.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

770×	`*-commutative_binary32`
694×	`unswap-sqr_binary32`
675×	`sqr-pow_binary32`
582×	`distribute-rgt-out_binary32`
363×	`associate-+l+_binary32`

Counts

153 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	1050
1	102	1018
2	296	964
3	981	937
4	1616	937
5	2325	937
6	3052	937
7	3020	937
8	3123	937
9	3236	937
10	3378	937
11	3226	937
12	3404	937
13	3710	937
14	4008	937
15	4420	937
16	4896	937
17	4892	937

prune159.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	119	10	129

Error

0.0b

Counts

129 → 10

Alt Table

Status	Error	Program
✓	0.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
▶	2.1b	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))
	2.8b	(.f32 u0 (.f32 (.f32 alpha alpha) (+.f32 1 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))
	2.2b	(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (cbrt.f32 (pow.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) 3)))))
	14.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	3.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0)))
	2.2b	(sqrt.f32 (.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)))
	2.5b	(pow.f32 (.f32 alpha (sqrt.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))) 2)
	2.3b	(/.f32 (.f32 (-.f32 (.f32 u0 u0) (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) 2)) (.f32 alpha alpha)) (-.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))
	2.2b	(/.f32 (-.f32 (.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 u0 (.f32 alpha alpha))) (.f32 (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))) (-.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))))

Compiler

Compiled 3439 to 2078 computations (39.6% saved)

localize49.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
✓	0.3b	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))
✓	0.3b	(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
✓	0.4b	(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))

series68.0ms (1.3%)

Counts

4 → 72

Calls

4 calls:

32.0ms	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))
29.0ms	(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
4.0ms	(fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
3.0ms	(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))

rewrite120.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

353×	`prod-diff_binary32`
288×	`fma-udef_binary32`
245×	`expm1-udef_binary32`
245×	`log1p-udef_binary32`
204×	`fma-neg_binary32`

Counts

4 → 88

Calls

4 calls:

117.0ms	(fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
117.0ms	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))
117.0ms	(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
117.0ms	(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	308	80
2	3184	80
3	4856	80
4	4909	80
5	4820	80
0	0	0
1	0	0

simplify251.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

767×	`*-commutative_binary32`
694×	`unswap-sqr_binary32`
675×	`sqr-pow_binary32`
587×	`distribute-rgt-out_binary32`
370×	`associate-+l+_binary32`

Counts

160 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1821
1	104	1543
2	306	1482
3	1005	1435
4	1652	1435
5	2330	1435
6	3034	1435
7	2980	1435
8	3083	1435
9	3196	1435
10	3338	1435
11	3242	1435
12	3420	1435
13	3726	1435
14	4024	1435
15	4436	1435
16	4912	1435
17	4896	1435

prune145.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	118	10	128

Error

0.0b

Counts

128 → 10

Alt Table

Status	Error	Program
	2.5b	(pow.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))) 2)
	2.8b	(.f32 u0 (.f32 (.f32 alpha alpha) (+.f32 1 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))
✓	0.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
✓	2.1b	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))
	2.2b	(/.f32 (-.f32 (.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 u0 (.f32 alpha alpha))) (.f32 (pow.f32 alpha 4) (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) 2))) (-.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))))
	14.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	3.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0)))
▶	2.2b	(sqrt.f32 (.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)))
	2.5b	(pow.f32 (.f32 alpha (sqrt.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))) 2)
	2.3b	(/.f32 (.f32 (-.f32 (.f32 u0 u0) (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) 2)) (.f32 alpha alpha)) (-.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))

Compiler

Compiled 3417 to 1907 computations (44.2% saved)

localize56.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)))
✓	0.4b	(.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2))
	0.4b	(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
✓	0.4b	(pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)

series86.0ms (1.7%)

Counts

3 → 60

Calls

3 calls:

52.0ms

(*.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2))

31.0ms

(sqrt.f32 (*.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)))

3.0ms

(pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)

rewrite75.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

759×	`prod-diff_binary32`
170×	`log1p-expm1-u_binary32`
170×	`expm1-log1p-u_binary32`
168×	`add-sqr-sqrt_binary32`
164×	`add-log-exp_binary32`

Counts

3 → 73

Calls

3 calls:

72.0ms

(sqrt.f32 (*.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)))

72.0ms

(*.f32 (pow.f32 alpha 4) (pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2))

72.0ms

(pow.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
1	379	81
2	3906	81
3	5229	81
0	0	0
1	0	0

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary32`
601×	`distribute-rgt-out_binary32`
570×	`associate-l_binary32`
437×	`associate-r_binary32`
304×	`associate-+l+_binary32`

Counts

133 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1618
1	246	1530
2	790	1430
3	3327	1428
4	4965	1428
5	4955	1428

prune169.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	6	7
Picked	1	0	1
Done	1	1	2
Total	146	9	155

Error

0.0b

Counts

155 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
	2.8b	(.f32 u0 (.f32 (.f32 alpha alpha) (+.f32 1 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))
	14.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	4.0b	(sqrt.f32 (+.f32 (.f32 (pow.f32 u0 3) (pow.f32 alpha 4)) (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))))
	2.2b	(/.f32 (-.f32 (.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 u0 (.f32 alpha alpha))) (.f32 (pow.f32 alpha 4) (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) 2))) (-.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))))
	3.3b	(.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0)))
	2.5b	(pow.f32 (.f32 alpha (sqrt.f32 (+.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))) 2)
	2.2b	(sqrt.f32 (*.f32 (pow.f32 alpha 4) (fma.f32 5/6 (pow.f32 u0 5) (fma.f32 11/12 (pow.f32 u0 4) (fma.f32 u0 u0 (pow.f32 u0 3))))))
	2.3b	(/.f32 (.f32 (-.f32 (.f32 u0 u0) (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) 2)) (.f32 alpha alpha)) (-.f32 u0 (fma.f32 1/4 (pow.f32 u0 4) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))

Compiler

Compiled 4217 to 2886 computations (31.6% saved)

regimes962.0ms (18.7%)

Accuracy

Total 0.3b remaining (81.5%)

Threshold costs 0.3b (81.5%)

Counts

139 → 1

Compiler

Compiled 21182 to 14948 computations (29.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	28	13
3	36	13
4	41	13
5	44	13
6	45	13
7	45	13

end123.0ms (2.4%)

Compiler: Compiled 235 to 156 computations (33.6% saved)

Iter	Nodes	Cost
0	9	14
1	22	13
2	43	13
3	77	13
4	93	13
5	131	13
6	170	13
7	217	13
8	340	13
9	471	13
10	481	13
11	557	13
12	569	13
13	676	13
14	699	13
15	700	13
16	645	13

Iter	Nodes	Cost
0	9	14
1	22	13
2	43	13
3	77	13
4	93	13
5	131	13
6	170	13
7	217	13
8	340	13
9	471	13
10	481	13
11	557	13
12	569	13
13	676	13
14	699	13
15	700	13
16	645	13

Details

analyze124.0ms (2.4%)

sample1.9s (36.7%)

simplify33.0ms (0.6%)

prune4.0ms (0.1%)

localize23.0ms (0.4%)

series185.0ms (3.6%)

rewrite44.0ms (0.9%)

simplify64.0ms (1.2%)

prune50.0ms (1%)

localize50.0ms (1%)

series41.0ms (0.8%)

rewrite75.0ms (1.4%)

simplify219.0ms (4.3%)

prune159.0ms (3.1%)

localize49.0ms (1%)

series68.0ms (1.3%)

rewrite120.0ms (2.3%)

simplify251.0ms (4.9%)

prune145.0ms (2.8%)

localize56.0ms (1.1%)

series86.0ms (1.7%)

rewrite75.0ms (1.5%)

simplify80.0ms (1.6%)

prune169.0ms (3.3%)

regimes962.0ms (18.7%)

simplify3.0ms (0.1%)

end123.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	9	14
1	22	13
2	43	13
3	77	13
4	93	13
5	131	13
6	170	13
7	217	13
8	340	13
9	471	13
10	481	13
11	557	13
12	569	13
13	676	13
14	699	13
15	700	13
16	645	13