Details

analyze183.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
18.7%	31.2%	50%	6
21.9%	28.1%	50%	7
32.8%	17.2%	50%	8
35.1%	14.8%	50%	9
41%	9%	50%	10
42.3%	7.6%	50%	11
45.4%	4.6%	50%	12
46.1%	3.9%	50%	13
47.6%	2.3%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.9s (17.5%)

Results

1.8s	8256×	body	128	valid
2.0ms	11×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
592×	`fma-def_binary64`
509×	`associate-/r*_binary64`
353×	`associate-/l*_binary64`
343×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	38
3	824	36
4	3882	36
5	5029	36

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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))

Status

Error

Program

▶

0.4b

(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

0.4b

(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (*.f64 (*.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 166 to 115 computations (30.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.3b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.4b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series371.0ms (3.4%)

Counts

4 → 60

Calls

4 calls:

305.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
56.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 (PI.f64) t)

rewrite76.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
18×	`associate-*r/_binary64`
16×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 102

Calls

4 calls:

29.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
13.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
9.0ms	(.f64 5 (.f64 v v))
6.0ms	(*.f64 (PI.f64) t)

simplify250.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-l_binary64`
489×	`associate-r_binary64`
436×	`times-frac_binary64`
397×	`associate-/r*_binary64`
215×	`associate-/l*_binary64`

Counts

162 → 195

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	339	5940
1	1042	5332
2	4928	5332
3	4937	5332

prune686.0ms (6.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	187	8	195
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	189	8	197

Error

0.1b

Counts

197 → 8

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
▶	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	34.3b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))
	36.0b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 1 (.f64 5 (.f64 v v)))) (.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 t t) t)) (.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (-.f64 1 (*.f64 v v))))))

Compiler

Compiled 9333 to 6108 computations (34.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))
✓	0.2b	(*.f64 5 (pow.f64 v 2))
✓	0.2b	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))

series231.0ms (2.1%)

Counts

4 → 24

Calls

4 calls:

157.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))
46.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
18.0ms	(*.f64 5 (pow.f64 v 2))
10.0ms	(.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))

rewrite64.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64`
14×	`associate-l_binary64`
14×	`prod-exp_binary64`

Counts

4 → 106

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))
14.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
12.0ms	(.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))
9.0ms	(*.f64 5 (pow.f64 v 2))

simplify162.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

405×	`fma-def_binary64`
291×	`distribute-rgt-in_binary64`
268×	`cancel-sign-sub-inv_binary64`
264×	`distribute-lft-in_binary64`
243×	`distribute-rgt-neg-in_binary64`

Counts

130 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	3696
1	543	2941
2	2024	2779
3	4704	2779
4	4953	2779

prune627.0ms (5.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	7	0	7
Picked	1	0	1
Done	0	0	0
Total	192	5	197

Error

Counts

197 → 5

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (+.f64 (neg.f64 (pow.f64 v 6)) 1) (pow.f64 (.f64 (PI.f64) (sqrt.f64 2)) 3)))) (+.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (.f64 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2))) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2))))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.2b	(.f64 (.f64 (/.f64 1 (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (.f64 v v) -5 1) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
▶	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	34.3b	(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (.f64 2 (PI.f64)) (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 v 4)))))) (+.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 8533 to 6796 computations (20.4% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
✓	0.0b	(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
✓	0.1b	(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) t)
✓	0.2b	(*.f64 3 (pow.f64 v 2))

series505.0ms (4.6%)

Counts

4 → 60

Calls

4 calls:

346.0ms	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
138.0ms	(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) t)
15.0ms	(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
5.0ms	(*.f64 3 (pow.f64 v 2))

rewrite123.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`times-frac_binary64`
75×	`add-sqr-sqrt_binary64`
52×	`add-exp-log_binary64`
49×	`*-un-lft-identity_binary64`
49×	`add-cbrt-cube_binary64`

Counts

4 → 181

Calls

4 calls:

41.0ms	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
22.0ms	(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) t)
8.0ms	(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
7.0ms	(*.f64 3 (pow.f64 v 2))

simplify395.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
371×	`associate-/r*_binary64`
320×	`associate-r_binary64`
284×	`associate-l_binary64`
253×	`*-commutative_binary64`

Counts

241 → 354

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	11194
1	1196	9871
2	4313	9664
3	4960	9664

prune1.1s (9.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	352	2	354
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	354	5	359

Error

Counts

359 → 5

Alt Table

Status	Error	Program
	0.6b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
▶	0.2b	(.f64 (.f64 (/.f64 1 (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (.f64 v v) -5 1) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
✓	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (.f64 2 (PI.f64)) (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 v 4)))))) (+.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 16226 to 11557 computations (28.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))
✓	0.0b	(.f64 (.f64 (/.f64 1 (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (.f64 v v) -5 1) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.2b	(*.f64 3 (pow.f64 v 2))
✓	0.2b	(.f64 (/.f64 1 (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (.f64 v v) -5 1) t))

series304.0ms (2.8%)

Counts

3 → 60

Calls

3 calls:

186.0ms

(*.f64 (*.f64 (/.f64 1 (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (*.f64 v v) -5 1) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

105.0ms

(*.f64 (/.f64 1 (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (*.f64 v v) -5 1) t))

13.0ms

(*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))

rewrite130.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`add-exp-log_binary64`
100×	`prod-exp_binary64`
82×	`add-cbrt-cube_binary64`
44×	`div-exp_binary64`
40×	`cbrt-unprod_binary64`

Counts

3 → 152

Calls

3 calls:

38.0ms

(*.f64 (*.f64 (/.f64 1 (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (*.f64 v v) -5 1) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

26.0ms

(*.f64 (/.f64 1 (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 (fma.f64 (*.f64 v v) -5 1) t))

12.0ms

(*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))

simplify382.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
408×	`associate-l_binary64`
399×	`associate-r_binary64`
320×	`associate-/r*_binary64`
255×	`associate-*l/_binary64`

Counts

212 → 261

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	10018
1	992	8266
2	3967	8097
3	4971	8097
4	4953	8097

prune523.0ms (4.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	305	1	306
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	307	4	311

Error

Counts

311 → 4

Alt Table

Status	Error	Program
	0.6b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
✓	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (/.f64 (.f64 1 (/.f64 (fma.f64 (.f64 v v) -5 1) t)) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 13780 to 10102 computations (26.7% saved)

regimes2.7s (24.5%)

Accuracy

Total 0.1b remaining (87.2%)

Threshold costs 0.1b (87.2%)

Counts

220 → 1

Compiler

Compiled 50727 to 40408 computations (20.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	46
1	38	46
2	46	46
3	51	46
4	54	46
5	55	46
6	53	46

end148.0ms (1.3%)

Compiler: Compiled 184 to 149 computations (19% saved)

Details

analyze183.0ms (1.7%)

sample1.9s (17.5%)

simplify50.0ms (0.5%)

prune5.0ms (0%)

localize19.0ms (0.2%)

series371.0ms (3.4%)

rewrite76.0ms (0.7%)

simplify250.0ms (2.3%)

prune686.0ms (6.2%)

localize31.0ms (0.3%)

series231.0ms (2.1%)

rewrite64.0ms (0.6%)

simplify162.0ms (1.5%)

prune627.0ms (5.7%)

localize37.0ms (0.3%)

series505.0ms (4.6%)

rewrite123.0ms (1.1%)

simplify395.0ms (3.6%)

prune1.1s (9.6%)

localize21.0ms (0.2%)

series304.0ms (2.8%)

rewrite130.0ms (1.2%)

simplify382.0ms (3.5%)

prune523.0ms (4.7%)

regimes2.7s (24.5%)

simplify6.0ms (0.1%)

end148.0ms (1.3%)

Profiling