Details

analyze110.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.9%	99.1%	0
0%	0.9%	99.1%	1
0%	0.9%	99.1%	2
0.4%	0.4%	99.1%	3
0.4%	0.4%	99.1%	4
0.6%	0.2%	99.1%	5
0.6%	0.2%	99.1%	6
0.7%	0.1%	99.1%	7
0.7%	0.1%	99.1%	8
0.8%	0.1%	99.1%	9
0.8%	0.1%	99.1%	10
0.8%	0%	99.1%	11
0.8%	0%	99.1%	12
0.8%	0%	99.1%	13
0.8%	0%	99.1%	14

Compiler

Compiled 32 to 24 computations (25% saved)

sample203.0ms (2.7%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify157.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2879×	`fma-def_binary32`
2626×	`associate-+l+_binary32`
362×	`distribute-rgt-in_binary32`
324×	`associate-+r+_binary32`
323×	`distribute-rgt-out_binary32`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	21	19
2	35	19
3	54	19
4	110	19
5	173	19
6	247	19
7	405	19
8	505	19
9	563	19
10	613	19
11	636	19
12	672	19
13	781	19
14	959	19
15	1218	19
16	1550	19
17	1556	19
18	1548	19
19	1896	19
20	2113	19
21	2208	19
22	2307	19
23	2275	19
24	2275	19
25	2275	19
26	4265	19
27	4265	19
28	4265	19
29	4265	19
30	5619	19

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
▶	0.2b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

Compiler

Compiled 94 to 70 computations (25.5% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
✓	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
✓	0.1b	(exp.f32 (/.f32 -2 v))

series249.0ms (3.3%)

Counts

4 → 80

Calls

4 calls:

174.0ms	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
64.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
9.0ms	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
2.0ms	(exp.f32 (/.f32 -2 v))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`exp-prod_binary32`
12×	`*-un-lft-identity_binary32`
12×	`add-sqr-sqrt_binary32`
12×	`add-cube-cbrt_binary32`
9×	`times-frac_binary32`

Counts

4 → 57

Calls

4 calls:

2.0ms	(exp.f32 (/.f32 -2 v))
1.0ms	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
0.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
0.0ms	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

631×	`cancel-sign-sub-inv_binary32`
440×	`sub-neg_binary32`
256×	`fma-def_binary32`
234×	`+-commutative_binary32`
225×	`fma-neg_binary32`

Counts

137 → 173

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	4060
1	1013	3883
2	3816	3673
3	5369	3673

prune174.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	166	7	173
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	168	7	175

Error

0.0b

Counts

175 → 7

Alt Table

Status	Error	Program
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.4b	(-.f32 (+.f32 (.f32 1/3 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (+.f32 (/.f32 (.f32 v (pow.f32 u 2)) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v)))))) (+.f32 (.f32 1/2 (.f32 v (pow.f32 u 2))) (+.f32 1 (+.f32 (.f32 1/3 (.f32 v (pow.f32 u 3))) (+.f32 (.f32 v u) (+.f32 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 1/2 (/.f32 (*.f32 v (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))))))
	0.2b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
	29.4b	(fma.f32 v (-.f32 (fma.f32 4/3 (/.f32 u (pow.f32 v 3)) (fma.f32 2 (/.f32 u v) (fma.f32 2 (/.f32 u (.f32 v v)) (.f32 8/3 (pow.f32 (/.f32 u v) 3))))) (fma.f32 2 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 4 (/.f32 (.f32 u u) (pow.f32 v 3)) (/.f32 2 v)))) 1)
▶	0.2b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
	29.5b	(-.f32 (fma.f32 (/.f32 u (pow.f32 v 3)) 2/3 (fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (.f32 (pow.f32 (/.f32 u v) 3) 8))))) (fma.f32 4 (/.f32 (pow.f32 u 4) (pow.f32 v 3)) (+.f32 1 (fma.f32 2 (/.f32 (.f32 u u) v) (fma.f32 (.f32 (/.f32 u v) (/.f32 u v)) 4 (.f32 (/.f32 (*.f32 u u) (pow.f32 v 3)) 14/3))))))
	1.0b	(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))

Compiler

Compiled 5444 to 3912 computations (28.1% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
✓	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u))
✓	0.1b	(pow.f32 (E.f32) (/.f32 -2 v))

series290.0ms (3.8%)

Counts

4 → 84

Calls

4 calls:

169.0ms	(log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u))
66.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
52.0ms	(fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)
3.0ms	(pow.f32 (E.f32) (/.f32 -2 v))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow-unpow_binary32`
13×	`*-un-lft-identity_binary32`
13×	`add-sqr-sqrt_binary32`
13×	`add-cube-cbrt_binary32`
9×	`times-frac_binary32`

Counts

4 → 64

Calls

4 calls:

2.0ms	(pow.f32 (E.f32) (/.f32 -2 v))
1.0ms	(log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u))
0.0ms	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
0.0ms	(fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

440×	`sub-neg_binary32`
360×	`fma-neg_binary32`
256×	`fma-def_binary32`
234×	`+-commutative_binary32`
220×	`times-frac_binary32`

Counts

148 → 186

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	4305
1	1079	4000
2	4007	3790
3	4932	3790
4	5011	3790

prune184.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	186	7	193

Error

0.0b

Counts

193 → 7

Alt Table

Status	Error	Program
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.4b	(-.f32 (+.f32 (.f32 1/3 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (+.f32 (/.f32 (.f32 v (pow.f32 u 2)) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v)))))) (+.f32 (.f32 1/2 (.f32 v (pow.f32 u 2))) (+.f32 1 (+.f32 (.f32 1/3 (.f32 v (pow.f32 u 3))) (+.f32 (.f32 v u) (+.f32 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 1/2 (/.f32 (*.f32 v (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))))))
▶	0.2b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
	29.4b	(fma.f32 v (-.f32 (fma.f32 4/3 (/.f32 u (pow.f32 v 3)) (fma.f32 2 (/.f32 u v) (fma.f32 2 (/.f32 u (.f32 v v)) (.f32 8/3 (pow.f32 (/.f32 u v) 3))))) (fma.f32 2 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 4 (/.f32 (.f32 u u) (pow.f32 v 3)) (/.f32 2 v)))) 1)
✓	0.2b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
	29.5b	(-.f32 (fma.f32 (/.f32 u (pow.f32 v 3)) 2/3 (fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (.f32 (pow.f32 (/.f32 u v) 3) 8))))) (fma.f32 4 (/.f32 (pow.f32 u 4) (pow.f32 v 3)) (+.f32 1 (fma.f32 2 (/.f32 (.f32 u u) v) (fma.f32 (.f32 (/.f32 u v) (/.f32 u v)) 4 (.f32 (/.f32 (*.f32 u u) (pow.f32 v 3)) 14/3))))))
	1.0b	(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))

Compiler

Compiled 5743 to 4047 computations (29.5% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
	0.1b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
	0.1b	(exp.f32 (/.f32 -2 v))
✓	0.3b	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

series280.0ms (3.7%)

Counts

2 → 48

Calls

2 calls:

216.0ms	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
64.0ms	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary32`
10×	`add-sqr-sqrt_binary32`
8×	`*-un-lft-identity_binary32`
8×	`add-cube-cbrt_binary32`
6×	`associate-+l+_binary32`

Counts

2 → 47

Calls

2 calls:

4.0ms	(+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
3.0ms	(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-neg_binary32`
519×	`cancel-sign-sub-inv_binary32`
324×	`sub-neg_binary32`
241×	`neg-sub0_binary32`
238×	`neg-mul-1_binary32`

Counts

95 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3739
1	778	3583
2	3063	3423
3	4407	3411
4	5065	3411

prune297.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	221	5	226
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	225	8	233

Error

0.0b

Counts

233 → 8

Alt Table

Status	Error	Program
	0.3b	(/.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 1 3)) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 (.f32 1 1) (.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.4b	(-.f32 (+.f32 (.f32 1/3 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (+.f32 (/.f32 (.f32 v (pow.f32 u 2)) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v)))))) (+.f32 (.f32 1/2 (.f32 v (pow.f32 u 2))) (+.f32 1 (+.f32 (.f32 1/3 (.f32 v (pow.f32 u 3))) (+.f32 (.f32 v u) (+.f32 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 1/2 (/.f32 (*.f32 v (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))))))
✓	0.2b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
	30.5b	(+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (fma.f32 (.f32 u u) (-.f32 (/.f32 v (exp.f32 (/.f32 -2 v))) (.f32 v 1/2)) (neg.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 v (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (fma.f32 v u 1)))))
	29.0b	(-.f32 (fma.f32 2 (/.f32 u v) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (fma.f32 u 2 (.f32 4/3 (/.f32 u (.f32 v v)))))) (fma.f32 4 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 2 (*.f32 u (/.f32 u v)) 1)))
▶	0.2b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) v) (+.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) v) 1))
	0.3b	(/.f32 (fma.f32 (.f32 v v) (.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))

Compiler

Compiled 7754 to 5618 computations (27.5% saved)

localize55.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) v)
✓	0.3b	(log.f32 (*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
✓	0.4b	(log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
✓	0.5b	(*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

series1.7s (22.3%)

Counts

4 → 96

Calls

4 calls:

526.0ms	(log.f32 (*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
517.0ms	(*.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) v)
388.0ms	(log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
269.0ms	(*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary32`
23×	`pow1_binary32`
19×	`cbrt-prod_binary32`
16×	`*-un-lft-identity_binary32`
16×	`add-cube-cbrt_binary32`

Counts

4 → 103

Calls

4 calls:

4.0ms	(*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
3.0ms	(*.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) v)
3.0ms	(log.f32 (*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
1.0ms	(log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

simplify174.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary32`
666×	`times-frac_binary32`
222×	`*-commutative_binary32`
200×	`+-commutative_binary32`
187×	`sub-neg_binary32`

Counts

199 → 274

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	11060
1	2484	10515
2	4978	10515

prune633.0ms (8.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	274	0	274
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	274	8	282

Error

0.0b

Counts

282 → 8

Alt Table

Status	Error	Program
	0.3b	(/.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 1 3)) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 (.f32 1 1) (.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
	0.3b	(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	30.4b	(-.f32 (+.f32 (.f32 1/3 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (+.f32 (/.f32 (.f32 v (pow.f32 u 2)) (exp.f32 (/.f32 -2 v))) (/.f32 (.f32 v (pow.f32 u 3)) (exp.f32 (/.f32 -2 v)))))) (+.f32 (.f32 1/2 (.f32 v (pow.f32 u 2))) (+.f32 1 (+.f32 (.f32 1/3 (.f32 v (pow.f32 u 3))) (+.f32 (.f32 v u) (+.f32 (/.f32 (.f32 v (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 1/2 (/.f32 (*.f32 v (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))))))))
✓	0.2b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)) u)) 1)
	30.5b	(+.f32 (/.f32 (.f32 v u) (exp.f32 (/.f32 -2 v))) (fma.f32 (.f32 u u) (-.f32 (/.f32 v (exp.f32 (/.f32 -2 v))) (.f32 v 1/2)) (neg.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 v (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (fma.f32 v u 1)))))
	29.0b	(-.f32 (fma.f32 2 (/.f32 u v) (fma.f32 8/3 (/.f32 (pow.f32 u 3) (.f32 v v)) (fma.f32 u 2 (.f32 4/3 (/.f32 u (.f32 v v)))))) (fma.f32 4 (.f32 (/.f32 u v) (/.f32 u v)) (fma.f32 2 (*.f32 u (/.f32 u v)) 1)))
✓	0.2b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) v) (+.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) v) 1))
	0.3b	(/.f32 (fma.f32 (.f32 v v) (.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))

Compiler

Compiled 19704 to 15129 computations (23.2% saved)

regimes793.0ms (10.4%)

Accuracy

Total 0.1b remaining (75.6%)

Threshold costs 0.1b (75.6%)

Counts

150 → 1

Compiler

Compiled 20804 to 15388 computations (26% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	21	26
2	30	26
3	36	26
4	40	26
5	41	26
6	40	26

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample1.9s (24.3%)

Algorithm

1×

intervals

Results

984.0ms	8000×	body	128	valid
197.0ms	8000×	pre	128	true

Compiler

Compiled 450 to 322 computations (28.4% saved)

Details

analyze110.0ms (1.4%)

sample203.0ms (2.7%)

simplify157.0ms (2.1%)

prune4.0ms (0.1%)

localize31.0ms (0.4%)

series249.0ms (3.3%)

rewrite6.0ms (0.1%)

simplify99.0ms (1.3%)

prune174.0ms (2.3%)

localize33.0ms (0.4%)

series290.0ms (3.8%)

rewrite6.0ms (0.1%)

simplify127.0ms (1.7%)

prune184.0ms (2.4%)

localize34.0ms (0.4%)

series280.0ms (3.7%)

rewrite10.0ms (0.1%)

simplify113.0ms (1.5%)

prune297.0ms (3.9%)

localize55.0ms (0.7%)

series1.7s (22.3%)

rewrite18.0ms (0.2%)

simplify174.0ms (2.3%)

prune633.0ms (8.3%)

regimes793.0ms (10.4%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.9s (24.3%)

Profiling