Details

analyze184.0ms (3.7%)

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)

sample31.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify38.0ms (0.8%)

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

0.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.6b	(/.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)))))
▶	0.6b	(/.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

0.6b

(/.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)))))

▶

0.6b

(/.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)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.2b	(*.f64 PI.f64 t)
✓	0.4b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
✓	0.5b	(/.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))))

rewrite37.0ms (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:

16.0ms	(/.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))))
7.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	(.f64 5 (.f64 v v))
3.0ms	(*.f64 PI.f64 t)

series268.0ms (5.4%)

Counts

4 → 60

Calls

4 calls:

192.0ms	(/.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))))
59.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
10.0ms	(.f64 5 (.f64 v v))
7.0ms	(*.f64 PI.f64 t)

simplify157.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-l_binary64`
515×	`times-frac_binary64`
483×	`associate-/r*_binary64`
244×	`associate-/l*_binary64`
179×	`fma-def_binary64`

Counts

162 → 307

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	415	6103
1	1178	5480
2	5000	5480
3	4987	5480

prune279.0ms (5.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	299	8	307
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	300	9	309

Error

0.3b

Counts

309 → 9

Alt Table

Status	Error	Program
▶	0.6b	(/.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))))
	0.6b	(+.f64 (/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	41.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 PI.f64 t) (.f64 PI.f64 t)) (.f64 PI.f64 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 1 (*.f64 v v))))
	30.4b	(.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))))))
	41.7b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 (.f64 v v) 5)) 3) (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (.f64 (pow.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) 3) (*.f64 (pow.f64 PI.f64 3) (pow.f64 t 3))))))
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) t)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
	1.7b	(.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))))))
✓	0.6b	(/.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))))
	0.9b	(/.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))))

Compiler

Compiled 10321 to 6741 computations (34.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 5 (.f64 v v))
✓	0.4b	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
✓	0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
✓	0.5b	(/.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))))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-*r/_binary64`
24×	`add-cbrt-cube_binary64`
24×	`add-exp-log_binary64`
10×	`sqrt-div_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

3 → 83

Calls

3 calls:

13.0ms

(/.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))))

7.0ms

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

7.0ms

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

series312.0ms (6.3%)

Counts

3 → 72

Calls

3 calls:

201.0ms

(/.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))))

59.0ms

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

51.0ms

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

simplify122.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

498×	`times-frac_binary64`
497×	`associate-l_binary64`
486×	`associate-/r*_binary64`
261×	`associate-/l*_binary64`
215×	`fma-def_binary64`

Counts

155 → 296

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	414	6861
1	1255	6214
2	5060	6214

prune406.0ms (8.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	355	4	359
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	358	10	368

Error

0.3b

Counts

368 → 10

Alt Table

Status	Error	Program
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (.f64 v v))))
✓	0.6b	(/.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))))
	30.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 (sqrt.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (sqrt.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (-.f64 1 (.f64 v v))))
	30.4b	(.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))))))
▶	0.6b	(+.f64 (/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	41.7b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 (.f64 v v) 5)) 3) (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (.f64 (pow.f64 PI.f64 3) (pow.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))) 3)))))
	41.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3)))))))) 3))
	1.7b	(.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))))))
✓	0.6b	(/.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))))
	0.9b	(/.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))))

Compiler

Compiled 11643 to 7882 computations (32.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
✓	0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
✓	0.5b	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
✓	8.9b	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-exp-log_binary64`
38×	`add-cbrt-cube_binary64`
21×	`prod-exp_binary64`
15×	`cbrt-unprod_binary64`
14×	`pow1_binary64`

Counts

3 → 82

Calls

3 calls:

6.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
5.0ms	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
4.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

series132.0ms (2.7%)

Counts

3 → 36

Calls

3 calls:

87.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
29.0ms	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
16.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

simplify150.0ms (3%)

Algorithm

1×	egg-herbie

Rules

658×	`associate-*l/_binary64`
598×	`associate-/l/_binary64`
487×	`associate-*r/_binary64`
310×	`associate-/r/_binary64`
289×	`*-commutative_binary64`

Counts

118 → 199

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	2044
1	253	1663
2	1179	1663
3	4140	1663
4	4752	1663
5	4963	1663
6	4998	1663
7	4965	1663

prune130.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	4	3	7
Picked	1	0	1
Done	1	1	2
Total	253	7	260

Error

0.0b

Counts

260 → 7

Alt Table

Status	Error	Program
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (.f64 v v))))
✓	0.6b	(/.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))))
	41.9b	(+.f64 (cbrt.f64 (/.f64 (.f64 (.f64 1 1) 1) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 PI.f64 PI.f64) PI.f64) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 2)))))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	0.4b	(+.f64 (/.f64 (/.f64 1 t) (.f64 PI.f64 (sqrt.f64 2))) (.f64 (/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2)))) -5/2))
▶	0.4b	(+.f64 (.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2)))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	1.7b	(.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))))))
	0.9b	(/.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))))

Compiler

Compiled 3499 to 2348 computations (32.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2)
	0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
✓	0.3b	(.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))
	8.9b	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`add-exp-log_binary64`
56×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
36×	`div-exp_binary64`
24×	`cbrt-unprod_binary64`

Counts

2 → 110

Calls

2 calls:

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

series128.0ms (2.6%)

Counts

2 → 36

Calls

2 calls:

96.0ms	(.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2)
32.0ms	(.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))

simplify147.0ms (3%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-/r/_binary64`
510×	`*-commutative_binary64`
478×	`associate-/l/_binary64`
268×	`times-frac_binary64`
245×	`fma-neg_binary64`

Counts

146 → 266

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	2926
1	411	2425
2	1736	2425
3	3507	2425
4	4959	2425
5	5066	2425

prune205.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	456	2	458
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	460	5	465

Error

Counts

465 → 5

Alt Table

Status	Error	Program
✓	0.6b	(/.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))))
	0.7b	(+.f64 (.f64 (.f64 (/.f64 1 t) (sqrt.f64 (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	0.2b	(+.f64 (/.f64 (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))) t) (.f64 (/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2)))) -5/2))
✓	0.4b	(+.f64 (.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2)))) (.f64 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) -5/2))
	0.9b	(/.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))))

Compiler

Compiled 6205 to 4273 computations (31.1% saved)

regimes942.0ms (19.1%)

Accuracy

Total 0.5b remaining (97.8%)

Threshold costs 0.5b (97.8%)

Compiler

Compiled 21836 to 16251 computations (25.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	22	34
2	21	34

end1.0ms (0%)

Compiler: Compiled 23 to 18 computations (21.7% saved)

sample1.1s (22.6%)

Algorithm

1×

intervals

Results

778.0ms	8000×	body	128	valid
1.0ms	7×	body	128	nan

Compiler

Compiled 211 to 160 computations (24.2% saved)

Details

analyze184.0ms (3.7%)

sample31.0ms (0.6%)

simplify38.0ms (0.8%)

prune5.0ms (0.1%)

localize14.0ms (0.3%)

rewrite37.0ms (0.7%)

series268.0ms (5.4%)

simplify157.0ms (3.2%)

prune279.0ms (5.7%)

localize14.0ms (0.3%)

rewrite34.0ms (0.7%)

series312.0ms (6.3%)

simplify122.0ms (2.5%)

prune406.0ms (8.2%)

localize10.0ms (0.2%)

rewrite22.0ms (0.4%)

series132.0ms (2.7%)

simplify150.0ms (3%)

prune130.0ms (2.6%)

localize12.0ms (0.2%)

rewrite30.0ms (0.6%)

series128.0ms (2.6%)

simplify147.0ms (3%)

prune205.0ms (4.2%)

regimes942.0ms (19.1%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.1s (22.6%)

Profiling