Details

analyze8.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample2.6s (32.7%)

Results

2.4s

8256×

body

128

valid

Compiler

Compiled 210 to 97 computations (53.8% saved)

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1509×	`associate-/l*_binary64`
766×	`distribute-rgt-out_binary64`
744×	`distribute-lft-out_binary64`
549×	`unswap-sqr_binary64`
497×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	239	41
3	928	37
4	1549	37
5	3195	37
6	3534	37
7	3698	33
8	2289	33
9	2775	33
10	2823	33
11	4807	33
12	5324	33

prune10.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
▶	0.2b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Status

Error

Program

0.5b

(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))

▶

0.2b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Compiler

Compiled 272 to 147 computations (46% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓	0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	1.0b	(sqrt.f64 (PI.f64))

series123.0ms (1.6%)

Counts

4 → 36

Calls

4 calls:

99.0ms	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
13.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
10.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 (PI.f64))

rewrite109.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64`
39×	`add-exp-log_binary64`
38×	`add-cbrt-cube_binary64`
36×	`associate-l_binary64`
35×	`pow1_binary64`

Counts

4 → 155

Calls

4 calls:

37.0ms	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
19.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
10.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 (PI.f64))

simplify231.0ms (3%)

Algorithm

1×	egg-herbie

Rules

519×	`associate-r_binary64`
418×	`associate-l_binary64`
389×	`cancel-sign-sub-inv_binary64`
313×	`fma-neg_binary64`
213×	`*-commutative_binary64`

Counts

191 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	7308
1	870	5784
2	3510	5032
3	4912	5032

prune555.0ms (7.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	307	3	310

Error

Counts

310 → 3

Alt Table

Status	Error	Program
▶	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
	25.1b	(fabs.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))) (.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))) 105))))

Compiler

Compiled 24277 to 9187 computations (62.2% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))
✓	0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
✓	0.1b	(fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))

series198.0ms (2.5%)

Counts

4 → 36

Calls

4 calls:

90.0ms	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
58.0ms	(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))
31.0ms	(fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))
19.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
18×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`sqrt-prod_binary64`

Counts

4 → 92

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))))
8.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
1.0ms	(fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))
1.0ms	(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))

simplify186.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

618×	`distribute-rgt-in_binary64`
617×	`distribute-lft-in_binary64`
600×	`associate-+l+_binary64`
529×	`associate-l_binary64`
453×	`associate-r_binary64`

Counts

128 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	4283
1	265	4015
2	813	4003
3	3517	4003
4	5634	4003

prune230.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Error

Counts

117 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))
▶	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
	25.1b	(fabs.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))) (.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))) 105))))

Compiler

Compiled 4559 to 3160 computations (30.7% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
✓	0.2b	(*.f64 2/3 (pow.f64 x 3))
✓	0.3b	(/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

series21.0ms (0.3%)

Counts

3 → 24

Calls

3 calls:

11.0ms

(/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))

5.0ms

(fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))

4.0ms

(*.f64 2/3 (pow.f64 x 3))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
12×	`associate-r_binary64`

Counts

3 → 84

Calls

3 calls:

7.0ms

(*.f64 2/3 (pow.f64 x 3))

4.0ms

(/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))

1.0ms

(fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))

simplify156.0ms (2%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-l_binary64`
599×	`associate-r_binary64`
300×	`fma-def_binary64`
205×	`cancel-sign-sub-inv_binary64`
199×	`exp-prod_binary64`

Counts

108 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	3453
1	317	3236
2	795	3122
3	3459	3122
4	4864	3122

prune292.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Error

Counts

164 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))
✓	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
▶	25.1b	(fabs.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))) (.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))) 105))))

Compiler

Compiled 5292 to 3870 computations (26.9% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))))))
✓	0.3b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105))
	1.0b	(sqrt.f64 (PI.f64))
✓	24.6b	(/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))) (.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))) 105)))

series110.0ms (1.4%)

Counts

3 → 36

Calls

3 calls:

69.0ms

(/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (*.f64 5 (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x))))) (*.f64 21 (fma.f64 5 (fma.f64 (*.f64 x x) 4 (*.f64 -4/9 (pow.f64 x 6))) (*.f64 (pow.f64 (fabs.f64 x) 5) (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))) 105)))

25.0ms

(*.f64 21 (fma.f64 5 (fma.f64 (*.f64 x x) 4 (*.f64 -4/9 (pow.f64 x 6))) (*.f64 (pow.f64 (fabs.f64 x) 5) (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))))))

16.0ms

(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))) 105))

rewrite61.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`
14×	`pow1_binary64`
13×	`cbrt-unprod_binary64`
13×	`prod-exp_binary64`

Counts

3 → 79

Calls

3 calls:

21.0ms

(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))) 105))

16.0ms

(/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (*.f64 5 (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x))))) (*.f64 21 (fma.f64 5 (fma.f64 (*.f64 x x) 4 (*.f64 -4/9 (pow.f64 x 6))) (*.f64 (pow.f64 (fabs.f64 x) 5) (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))) 105)))

5.0ms

(*.f64 21 (fma.f64 5 (fma.f64 (*.f64 x x) 4 (*.f64 -4/9 (pow.f64 x 6))) (*.f64 (pow.f64 (fabs.f64 x) 5) (*.f64 (fabs.f64 x) (-.f64 2 (*.f64 2/3 (*.f64 x x)))))))

simplify335.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-in_binary64`
427×	`distribute-lft-in_binary64`
369×	`fma-def_binary64`
236×	`associate-r_binary64`
233×	`associate-l_binary64`

Counts

115 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	7426
1	558	5649
2	1968	4787
3	4962	4785
4	5000	4785
5	4908	4785

prune421.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Error

Counts

166 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))))))
✓	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))))
✓	25.1b	(fabs.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))) (.f64 21 (fma.f64 5 (fma.f64 (.f64 x x) 4 (.f64 -4/9 (pow.f64 x 6))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x)))) 105))))

Compiler

Compiled 12306 to 7650 computations (37.8% saved)

regimes1.6s (21.1%)

Accuracy

Total 0.1b remaining (65.6%)

Threshold costs 0.1b (65.6%)

Counts

101 → 1

Compiler

Compiled 23548 to 16012 computations (32% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	69
1	41	69
2	40	69

end249.0ms (3.2%)

Compiler: Compiled 202 to 156 computations (22.8% saved)

Details

analyze8.0ms (0.1%)

sample2.6s (32.7%)

simplify125.0ms (1.6%)

prune10.0ms (0.1%)

localize41.0ms (0.5%)

series123.0ms (1.6%)

rewrite109.0ms (1.4%)

simplify231.0ms (3%)

prune555.0ms (7.1%)

localize30.0ms (0.4%)

series198.0ms (2.5%)

rewrite31.0ms (0.4%)

simplify186.0ms (2.4%)

prune230.0ms (2.9%)

localize24.0ms (0.3%)

series21.0ms (0.3%)

rewrite21.0ms (0.3%)

simplify156.0ms (2%)

prune292.0ms (3.7%)

localize42.0ms (0.5%)

series110.0ms (1.4%)

rewrite61.0ms (0.8%)

simplify335.0ms (4.3%)

prune421.0ms (5.4%)

regimes1.6s (21.1%)

simplify6.0ms (0.1%)

end249.0ms (3.2%)

Profiling