Details

analyze162.0ms (2.7%)

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
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.3s (21.6%)

Results

1.2s	8256×	body	128	valid
2.0ms	18×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify36.0ms (0.6%)

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 (0.1%)

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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	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)))))
	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))))

Status

Error

Program

▶

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)))))

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))))

Compiler

Compiled 166 to 115 computations (30.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 v (*.f64 v -5) 1)
✓	0.3b	(/.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)))))
✓	0.3b	(*.f64 (PI.f64) t)
✓	0.5b	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))

series294.0ms (5%)

Counts

4 → 60

Calls

4 calls:

246.0ms	(/.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)))))
43.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
3.0ms	(fma.f64 v (*.f64 v -5) 1)
2.0ms	(*.f64 (PI.f64) t)

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-cbrt-cube_binary64`
29×	`add-exp-log_binary64`
20×	`distribute-lft-in_binary64`
20×	`distribute-rgt-in_binary64`
16×	`add-sqr-sqrt_binary64`

Counts

4 → 107

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
8.0ms	(/.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)))))
3.0ms	(*.f64 (PI.f64) t)
0.0ms	(fma.f64 v (*.f64 v -5) 1)

simplify142.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-r_binary64`
488×	`associate-l_binary64`
460×	`associate-/r*_binary64`
416×	`times-frac_binary64`
245×	`associate-/l*_binary64`

Counts

167 → 196

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	433	6785
1	1219	6126
2	5119	6126

prune240.0ms (4.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	190	8	198

Error

0.0b

Counts

198 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64))) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	1.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (-.f64 1 (.f64 v v)))))
	0.4b	(/.f64 (log1p.f64 (expm1.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)))))
	1.1b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 -6 v) 2)) (cbrt.f64 (fma.f64 v (.f64 -6 v) 2)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))))
	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
▶	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))

Compiler

Compiled 8646 to 5475 computations (36.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 6 (pow.f64 v 2))
✓	0.2b	(.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))
✓	0.2b	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))

series418.0ms (7.1%)

Counts

4 → 48

Calls

4 calls:

267.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
136.0ms	(.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))
10.0ms	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
4.0ms	(*.f64 6 (pow.f64 v 2))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`associate-*r/_binary64`
26×	`sqrt-div_binary64`
26×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`

Counts

4 → 121

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))
10.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
10.0ms	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
4.0ms	(*.f64 6 (pow.f64 v 2))

simplify169.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-r_binary64`
459×	`associate-l_binary64`
340×	`associate-/r*_binary64`
235×	`fma-def_binary64`
204×	`times-frac_binary64`

Counts

169 → 264

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7301
1	1325	6576
2	4946	6576
3	5010	6576

prune459.0ms (7.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	306	3	309
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	311	6	317

Error

0.0b

Counts

317 → 6

Alt Table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64))) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))
	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64)))))
	0.4b	(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	0.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))
▶	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))

Compiler

Compiled 15789 to 11726 computations (25.7% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
✓	0.3b	(.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2))))
✓	0.3b	(*.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))
✓	29.4b	(cbrt.f64 (pow.f64 v 2))

series340.0ms (5.8%)

Counts

4 → 60

Calls

4 calls:

244.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
39.0ms	(cbrt.f64 (pow.f64 v 2))
30.0ms	(.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2))))
26.0ms	(*.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-prod_binary64`
52×	`add-sqr-sqrt_binary64`
26×	`unswap-sqr_binary64`
25×	`unpow-prod-down_binary64`
21×	`*-un-lft-identity_binary64`

Counts

4 → 146

Calls

4 calls:

12.0ms	(.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2))))
10.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
9.0ms	(*.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))
1.0ms	(cbrt.f64 (pow.f64 v 2))

simplify164.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
411×	`associate-r_binary64`
327×	`associate-l_binary64`
242×	`associate-/r*_binary64`
197×	`*-commutative_binary64`

Counts

206 → 243

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	6115
1	941	4799
2	3917	4676
3	4968	4676
4	4953	4676

prune538.0ms (9.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	301	6	307

Error

0.0b

Counts

307 → 6

Alt Table

Status	Error	Program
	0.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) t) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (-.f64 (PI.f64) (.f64 (*.f64 v v) (PI.f64))))))
▶	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64))) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))
	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64)))))
	0.4b	(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))

Compiler

Compiled 17251 to 12945 computations (25% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 v (*.f64 v -5) 1)
	0.3b	(*.f64 (PI.f64) t)
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
✓	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))

series149.0ms (2.5%)

Counts

2 → 36

Calls

2 calls:

137.0ms

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

12.0ms

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

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
30×	`sqrt-prod_binary64`

Counts

2 → 113

Calls

2 calls:

9.0ms

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

3.0ms

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

simplify159.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
419×	`associate-/r*_binary64`
279×	`times-frac_binary64`
276×	`associate-/l*_binary64`
250×	`associate-l_binary64`

Counts

149 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	7537
1	1236	6895
2	4807	6872
3	5527	6872

prune304.0ms (5.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	259	6	265

Error

0.0b

Counts

265 → 6

Alt Table

Status	Error	Program
	0.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) t) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (-.f64 (PI.f64) (.f64 (*.f64 v v) (PI.f64))))))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64))) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))
	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 t (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (-.f64 (PI.f64) (.f64 (pow.f64 v 2) (PI.f64)))))
	0.4b	(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 6 (.f64 (cbrt.f64 (pow.f64 v 2)) (cbrt.f64 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))

Compiler

Compiled 11033 to 7353 computations (33.4% saved)

regimes660.0ms (11.2%)

Accuracy

Total 0.3b remaining (96.5%)

Threshold costs 0.3b (96.5%)

Counts

100 → 1

Compiler

Compiled 17315 to 12547 computations (27.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	28	40
2	40	40
3	48	40
4	54	40
5	56	40
6	55	40

end168.0ms (2.8%)

Compiler: Compiled 249 to 181 computations (27.3% saved)

Details

analyze162.0ms (2.7%)

sample1.3s (21.6%)

simplify36.0ms (0.6%)

prune5.0ms (0.1%)

localize15.0ms (0.3%)

series294.0ms (5%)

rewrite30.0ms (0.5%)

simplify142.0ms (2.4%)

prune240.0ms (4.1%)

localize16.0ms (0.3%)

series418.0ms (7.1%)

rewrite51.0ms (0.9%)

simplify169.0ms (2.9%)

prune459.0ms (7.8%)

localize21.0ms (0.4%)

series340.0ms (5.8%)

rewrite49.0ms (0.8%)

simplify164.0ms (2.8%)

prune538.0ms (9.1%)

localize16.0ms (0.3%)

series149.0ms (2.5%)

rewrite24.0ms (0.4%)

simplify159.0ms (2.7%)

prune304.0ms (5.1%)

regimes660.0ms (11.2%)

simplify4.0ms (0.1%)

end168.0ms (2.8%)

Profiling