Details

analyze145.0ms (3.2%)

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)

sample1.2s (26.7%)

Results

1.1s	8256×	body	128	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

443×	`rules-4_binary64`
401×	`rules-6_binary64`
323×	`fma-neg_binary64`
310×	`rules-22-rev_binary64`
262×	`rules-23-rev_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	53	40
2	154	40
3	584	40
4	3065	40
5	4867	40

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 112 to 73 computations (34.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 5 (.f64 v v))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
✓	0.5b	(.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))

series252.0ms (5.5%)

Counts

4 → 60

Calls

4 calls:

194.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
53.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))
2.0ms	(.f64 5 (.f64 v v))
2.0ms	(*.f64 (PI.f64) t)

rewrite84.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

203×	`add-sqr-sqrt_binary64`
193×	`log1p-expm1-u_binary64`
193×	`expm1-log1p-u_binary64`
191×	`add-log-exp_binary64`
190×	`add-cbrt-cube_binary64`

Counts

4 → 95

Calls

4 calls:

82.0ms	(.f64 5 (.f64 v v))
82.0ms	(*.f64 (PI.f64) t)
82.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
82.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	469	80
2	4917	80
3	4894	80
0	0	0
1	0	0

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

349×	`rules-20_binary64`
343×	`rules-6_binary64`
307×	`fma-def_binary64`
294×	`rules-4_binary64`
272×	`rules-1_binary64`

Counts

155 → 151

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	3606
1	1029	3606
2	5139	3606

prune168.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	145	6	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	7	152

Error

0.1b

Counts

152 → 7

Alt Table

Status	Error	Program
	1.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))) 2) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))))
▶	0.5b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	1.1b	(-.f64 (+.f64 (/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (.f64 9/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 t (sqrt.f64 3))))))) (.f64 4 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 3)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))))
	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (sqrt.f64 (-.f64 1/3 (pow.f64 v 2)))))
	32.1b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))) 2))
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) t)) 3) (-.f64 1 (.f64 v v)))))

Compiler

Compiled 7218 to 4794 computations (33.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t))
✓	0.3b	(.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	1.0b	(*.f64 (sqrt.f64 6) (PI.f64))

series224.0ms (4.9%)

Counts

4 → 24

Calls

4 calls:

135.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
82.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t))
6.0ms	(.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))
0.0ms	(*.f64 (sqrt.f64 6) (PI.f64))

rewrite77.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

234×	`add-sqr-sqrt_binary64`
226×	`log1p-expm1-u_binary64`
226×	`expm1-log1p-u_binary64`
221×	`add-log-exp_binary64`
220×	`add-exp-log_binary64`

Counts

4 → 93

Calls

4 calls:

74.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t))
74.0ms	(.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))
74.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
74.0ms	(*.f64 (sqrt.f64 6) (PI.f64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
1	557	106
2	4780	106
3	4796	106
0	0	0
1	0	0

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

369×	`rules-6_binary64`
259×	`rules-20_binary64`
198×	`fma-def_binary64`
171×	`rules-1_binary64`
157×	`rules-14-rev_binary64`

Counts

117 → 129

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1994
1	780	1994
2	3857	1994

prune201.0ms (4.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Error

0.0b

Counts

136 → 7

Alt Table

Status	Error	Program
	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (sqrt.f64 (-.f64 1/3 (pow.f64 v 2)))))
▶	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 6) (PI.f64)))) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.5b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	1.1b	(-.f64 (+.f64 (/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (.f64 9/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 t (sqrt.f64 3))))))) (.f64 4 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 3)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))))
	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 6) (PI.f64)) 3)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
	1.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 v v)))) t))) 2) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 v v)))) t)))) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

Compiler

Compiled 6311 to 4603 computations (27.1% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 6) (PI.f64)))) (.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t))
	0.3b	(.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 6) (PI.f64)))) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
	1.0b	(*.f64 (sqrt.f64 6) (PI.f64))

series356.0ms (7.8%)

Counts

2 → 48

Calls

2 calls:

184.0ms

(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 6) (PI.f64)))) (*.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

172.0ms

(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 6) (PI.f64)))) (*.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t))

rewrite69.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

239×	`add-sqr-sqrt_binary64`
232×	`expm1-log1p-u_binary64`
231×	`log1p-expm1-u_binary64`
225×	`add-log-exp_binary64`
224×	`add-exp-log_binary64`

Counts

2 → 43

Calls

2 calls:

67.0ms

(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 6) (PI.f64)))) (*.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t))

67.0ms

(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 6) (PI.f64)))) (*.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	574	86
2	4881	86
3	4902	86
0	0	0
1	0	0

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

375×	`rules-6_binary64`
267×	`rules-20_binary64`
198×	`fma-def_binary64`
175×	`rules-1_binary64`
157×	`rules-14-rev_binary64`

Counts

91 → 83

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	3050
1	809	3050
2	3949	3050

prune178.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	131	7	138

Error

0.0b

Counts

138 → 7

Alt Table

Status	Error	Program
	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (sqrt.f64 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 6) (PI.f64)))) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.5b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	1.1b	(-.f64 (+.f64 (/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (.f64 9/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 t (sqrt.f64 3))))))) (.f64 4 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 3)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))))
▶	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 6) (PI.f64)) 3)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
	1.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 v v)))) t))) 2) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 v v)))) t)))) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

Compiler

Compiled 6430 to 4764 computations (25.9% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 6) (PI.f64)) 3)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	1.0b	(pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3)
	1.0b	(*.f64 (sqrt.f64 6) (PI.f64))
✓	1.0b	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3))

series146.0ms (3.2%)

Counts

3 → 24

Calls

3 calls:

146.0ms

(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3)) (*.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

0.0ms

(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3))

0.0ms

(pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3)

rewrite42.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

245×	`add-sqr-sqrt_binary64`
240×	`log1p-expm1-u_binary64`
240×	`expm1-log1p-u_binary64`
233×	`add-log-exp_binary64`
232×	`add-cbrt-cube_binary64`

Counts

3 → 77

Calls

3 calls:

40.0ms

(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3)) (*.f64 (sqrt.f64 6) (*.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

40.0ms

(pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3)

40.0ms

(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 6) (PI.f64)) 3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	600	66
2	4776	66
0	0	0
1	0	0

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

281×	`rules-6_binary64`
223×	`rules-20_binary64`
157×	`fma-def_binary64`
142×	`rules-1_binary64`
128×	`rules-1-rev_binary64`

Counts

101 → 102

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	2080
1	666	2080
2	3206	2080

prune301.0ms (6.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	125	7	132

Error

0.0b

Counts

132 → 7

Alt Table

Status	Error	Program
	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (sqrt.f64 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 6) (PI.f64)))) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.5b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	1.1b	(-.f64 (+.f64 (/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t))) (.f64 9/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 t (sqrt.f64 3))))))) (.f64 4 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 3)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))))
✓	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 6) (PI.f64)) 3)) (.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
	1.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 v v)))) t))) 2) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (-.f64 (.f64 (sqrt.f64 6) (PI.f64)) (.f64 (sqrt.f64 6) (.f64 (PI.f64) (.f64 v v)))) t)))) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))

Compiler

Compiled 5974 to 4624 computations (22.6% saved)

regimes541.0ms (11.9%)

Accuracy

Total 0.3b remaining (78.7%)

Threshold costs 0.3b (78.7%)

Counts

74 → 1

Compiler

Compiled 13187 to 9944 computations (24.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	21	40
2	20	40

end218.0ms (4.8%)

Compiler: Compiled 325 to 252 computations (22.5% saved)

Details

analyze145.0ms (3.2%)

sample1.2s (26.7%)

simplify38.0ms (0.8%)

prune3.0ms (0.1%)

localize16.0ms (0.3%)

series252.0ms (5.5%)

rewrite84.0ms (1.8%)

simplify69.0ms (1.5%)

prune168.0ms (3.7%)

localize17.0ms (0.4%)

series224.0ms (4.9%)

rewrite77.0ms (1.7%)

simplify45.0ms (1%)

prune201.0ms (4.4%)

localize20.0ms (0.4%)

series356.0ms (7.8%)

rewrite69.0ms (1.5%)

simplify60.0ms (1.3%)

prune178.0ms (3.9%)

localize20.0ms (0.4%)

series146.0ms (3.2%)

rewrite42.0ms (0.9%)

simplify43.0ms (1%)

prune301.0ms (6.6%)

regimes541.0ms (11.9%)

simplify2.0ms (0%)

end218.0ms (4.8%)

Profiling