Details

analyze150.0ms (2.1%)

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 (18.4%)

Results

1.3s	8256×	body	128	valid
2.0ms	16×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify34.0ms (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 (0.1%)

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 (-.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)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
✓	0.2b	(*.f64 (PI.f64) t)
✓	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)))))
✓	0.5b	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))

series198.0ms (2.7%)

Counts

4 → 72

Calls

4 calls:

136.0ms	(/.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)))))
45.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
15.0ms	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 (PI.f64) t)

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
25×	`distribute-lft-in_binary64`
25×	`distribute-rgt-in_binary64`
20×	`add-sqr-sqrt_binary64`

Counts

4 → 131

Calls

4 calls:

9.0ms	(/.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)))))
9.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
8.0ms	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
3.0ms	(*.f64 (PI.f64) t)

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

203 → 226

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	7617
1	1247	6841
2	5223	6841

prune300.0ms (4.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	220	8	228

Error

Counts

228 → 8

Alt Table

Status	Error	Program
	1.0b	(/.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))))))
	44.0b	(cbrt.f64 (/.f64 (.f64 (.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v (.f64 v -5) 1)) (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (PI.f64) t)) (.f64 (PI.f64) t)) (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (-.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 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.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)))))
▶	0.3b	(/.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))))
	32.1b	(.f64 (sqrt.f64 (/.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)))))) (sqrt.f64 (/.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)))))))
	1.5b	(.f64 (.f64 (cbrt.f64 (/.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)))))) (cbrt.f64 (/.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))))))) (cbrt.f64 (/.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)))))))
	1.6b	(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))

Compiler

Compiled 9855 to 6123 computations (37.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
	0.2b	(*.f64 (PI.f64) t)
✓	0.5b	(/.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)))

series162.0ms (2.2%)

Counts

2 → 36

Calls

2 calls:

143.0ms

(/.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))))

19.0ms

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

rewrite27.0ms (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:

10.0ms

(/.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)))

simplify157.0ms (2.2%)

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

prune581.0ms (8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	286	3	289
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	290	7	297

Error

Counts

297 → 7

Alt Table

Status	Error	Program
▶	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))))))))
	0.4b	(.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))))) (.f64 (PI.f64) t)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))) (-.f64 1 (*.f64 v v))))
✓	0.3b	(/.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))))
	0.4b	(/.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))) (/.f64 (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))) (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))))))
	44.0b	(cbrt.f64 (/.f64 (.f64 (.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v (.f64 v -5) 1)) (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (PI.f64) t)) (.f64 (PI.f64) t)) (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (-.f64 1 (.f64 v v)))))))
	0.4b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (PI.f64) t)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (-.f64 1 (.f64 v v))))
	1.6b	(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))

Compiler

Compiled 12383 to 8139 computations (34.3% saved)

localize17.0ms (0.2%)

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))))))))

series348.0ms (4.8%)

Counts

4 → 48

Calls

4 calls:

245.0ms	(/.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))))))))
91.0ms	(.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)))))))
9.0ms	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
3.0ms	(*.f64 6 (pow.f64 v 2))

rewrite50.0ms (0.7%)

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:

12.0ms	(.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)))))))
12.0ms	(/.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))))))))
8.0ms	(.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))

simplify168.0ms (2.3%)

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

prune527.0ms (7.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	305	4	309
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	311	5	316

Error

Counts

316 → 5

Alt Table

Status	Error	Program
	0.6b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (-.f64 2 (.f64 (.f64 v v) 6)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 v 4))))))) (+.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)))))))
✓	0.3b	(/.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))))
	0.3b	(/.f64 1 (/.f64 (.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))))))) (fma.f64 v (*.f64 v -5) 1)))
▶	0.2b	(.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 (/.f64 (fma.f64 v (.f64 v -5) 1) 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 15759 to 11703 computations (25.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.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)))))
✓	0.1b	(.f64 (PI.f64) (.f64 v v))
✓	0.2b	(.f64 (.f64 v v) 6)
✓	0.2b	(.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))))))

series196.0ms (2.7%)

Counts

4 → 60

Calls

4 calls:

162.0ms	(.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))))))
28.0ms	(/.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)))))
3.0ms	(.f64 (PI.f64) (.f64 v v))
2.0ms	(.f64 (.f64 v v) 6)

rewrite68.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-cbrt-cube_binary64`
40×	`add-exp-log_binary64`
36×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
26×	`associate-l_binary64`

Counts

4 → 148

Calls

4 calls:

20.0ms	(.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))))))
9.0ms	(.f64 (.f64 v v) 6)
9.0ms	(/.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)))))
5.0ms	(.f64 (PI.f64) (.f64 v v))

simplify203.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

459×	`fma-def_binary64`
433×	`associate-/r*_binary64`
381×	`associate-l_binary64`
381×	`times-frac_binary64`
262×	`associate-/l*_binary64`

Counts

208 → 258

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	8995
1	1457	8259
2	4842	8139
3	5025	8139

prune397.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	257	1	258
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	259	4	263

Error

Counts

263 → 4

Alt Table

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

Compiler

Compiled 13401 to 8276 computations (38.2% saved)

regimes2.0s (27.3%)

Accuracy

Total 0.1b remaining (92.7%)

Threshold costs 0.1b (92.7%)

Counts

239 → 1

Compiler

Compiled 47161 to 34094 computations (27.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	38	53
2	58	53
3	68	53
4	74	53
5	75	53
6	73	53

end153.0ms (2.1%)

Compiler: Compiled 238 to 173 computations (27.3% saved)

Details

analyze150.0ms (2.1%)

sample1.3s (18.4%)

simplify34.0ms (0.5%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

series198.0ms (2.7%)

rewrite38.0ms (0.5%)

simplify121.0ms (1.7%)

prune300.0ms (4.1%)

localize16.0ms (0.2%)

series162.0ms (2.2%)

rewrite27.0ms (0.4%)

simplify157.0ms (2.2%)

prune581.0ms (8%)

localize17.0ms (0.2%)

series348.0ms (4.8%)

rewrite50.0ms (0.7%)

simplify168.0ms (2.3%)

prune527.0ms (7.2%)

localize18.0ms (0.2%)

series196.0ms (2.7%)

rewrite68.0ms (0.9%)

simplify203.0ms (2.8%)

prune397.0ms (5.5%)

regimes2.0s (27.3%)

simplify3.0ms (0%)

end153.0ms (2.1%)

Profiling