Details

analyze158.0ms (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)

sample1.4s (28.8%)

Results

1.3s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1079×	`rules-42_binary64`
1074×	`rules-40_binary64`
710×	`rules-41_binary64`
710×	`rules-43_binary64`
455×	`rules-20_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	133	40
2	441	40
3	2126	40
4	3727	40
5	44	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

0.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.7b	(/.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)
✓	0.4b	(.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))
✓	0.6b	(/.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)))))

series204.0ms (4.1%)

Counts

4 → 60

Calls

4 calls:

151.0ms	(/.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)))))
49.0ms	(.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 (1.7%)

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 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))
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)))))

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

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
555×	`rules-20_binary64`
505×	`rules-40_binary64`
505×	`rules-41_binary64`
505×	`rules-42_binary64`

Counts

155 → 152

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	3609
1	1969	3609
2	4278	3609

prune181.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	143	9	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	10	153

Error

0.4b

Counts

153 → 10

Alt Table

Status	Error	Program
	1.8b	(.f64 (pow.f64 (cbrt.f64 (/.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)))))) 2) (cbrt.f64 (/.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)))))))
	1.7b	(/.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)))))
✓	0.7b	(/.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)))))
	39.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3)))
	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 6) (.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 (PI.f64) t)))) (sqrt.f64 (/.f64 1 (-.f64 1/3 (pow.f64 v 2)))))
▶	0.9b	(.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)))))
	41.1b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 2) (+.f64 0 (.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))) 0)))))
	40.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 5 (.f64 v v))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3)))
	1.6b	(/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))
	29.5b	(pow.f64 (sqrt.f64 (/.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)))))) 2)

Compiler

Compiled 7443 to 4936 computations (33.7% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))))
✓	0.6b	(/.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))
✓	1.0b	(*.f64 (sqrt.f64 6) (PI.f64))

series286.0ms (5.8%)

Counts

4 → 24

Calls

4 calls:

171.0ms	(.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)))))
110.0ms	(/.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))
5.0ms	(.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))
0.0ms	(*.f64 (sqrt.f64 6) (PI.f64))

rewrite79.0ms (1.6%)

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:

77.0ms	(.f64 (sqrt.f64 6) (.f64 (pow.f64 v 2) (PI.f64)))
77.0ms	(.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)))))
77.0ms	(/.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))
77.0ms	(*.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

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-neg_binary64`
409×	`rules-20_binary64`
363×	`rules-40_binary64`
363×	`rules-41_binary64`
363×	`rules-42_binary64`

Counts

117 → 130

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1994
1	1468	1994
2	4340	1994

prune156.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	132	8	140

Error

0.4b

Counts

140 → 8

Alt Table

Status	Error	Program
▶	0.8b	(.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)))))
✓	0.9b	(.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)))))
	1.8b	(.f64 (pow.f64 (cbrt.f64 (/.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)))))) 2) (cbrt.f64 (/.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)))))))
✓	0.7b	(/.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)))))
	39.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3)))
	40.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 5 (.f64 v v))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3)))
	1.6b	(/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))
	29.5b	(pow.f64 (sqrt.f64 (/.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)))))) 2)

Compiler

Compiled 6312 to 4579 computations (27.5% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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)))))
✓	0.6b	(/.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))
	1.0b	(*.f64 (sqrt.f64 6) (PI.f64))

series323.0ms (6.5%)

Counts

2 → 48

Calls

2 calls:

212.0ms

(*.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)))))

110.0ms

(/.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 (1.4%)

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 (-.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)))))

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))

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

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-neg_binary64`
429×	`rules-20_binary64`
379×	`rules-40_binary64`
379×	`rules-41_binary64`
379×	`rules-42_binary64`

Counts

91 → 84

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	3050
1	1549	3050
2	4416	3050

prune159.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	132	8	140

Error

0.4b

Counts

140 → 8

Alt Table

Status	Error	Program
✓	0.8b	(.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)))))
✓	0.9b	(.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)))))
	1.8b	(.f64 (pow.f64 (cbrt.f64 (/.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)))))) 2) (cbrt.f64 (/.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)))))))
✓	0.7b	(/.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)))))
	39.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3)))
	40.1b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 5 (.f64 v v))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/3 (.f64 v v)) 6)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))) 3)))
▶	1.6b	(/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))
	29.5b	(pow.f64 (sqrt.f64 (/.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)))))) 2)

Compiler

Compiled 6431 to 4740 computations (26.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) t)
✓	0.5b	(.f64 (sqrt.f64 6) (.f64 (PI.f64) t))
✓	0.7b	(/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))

series20.0ms (0.4%)

Counts

2 → 0

Calls

2 calls:

14.0ms	(/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))
6.0ms	(.f64 (sqrt.f64 6) (.f64 (PI.f64) t))

rewrite75.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

758×	`fma-neg_binary64`
392×	`fma-def_binary64`
271×	`prod-diff_binary64`
195×	`egg-rr`
171×	`expm1-udef_binary64`

Counts

2 → 195

Calls

2 calls:

71.0ms	(.f64 (sqrt.f64 6) (.f64 (PI.f64) t))
71.0ms	(/.f64 (sqrt.f64 3) (.f64 (sqrt.f64 6) (.f64 (PI.f64) t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	233	20
2	2741	20
3	4935	20
0	0	0
1	0	0

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune201.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	4	0	4
Picked	1	0	1
Done	0	3	3
Total	220	7	227

Error

0.4b

Counts

227 → 7

Alt Table

Status	Error	Program
✓	0.8b	(.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)))))
✓	0.9b	(.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)))))
	1.6b	(/.f64 (sqrt.f64 3) (fma.f64 (PI.f64) (*.f64 (sqrt.f64 6) t) 0))
	1.6b	(.f64 (pow.f64 3 1/4) (/.f64 (pow.f64 3 1/4) (.f64 (sqrt.f64 6) (*.f64 (PI.f64) t))))
	1.7b	(/.f64 (sqrt.f64 3) (fma.f64 (cbrt.f64 (sqrt.f64 6)) (.f64 (.f64 (PI.f64) t) (cbrt.f64 6)) 0))
✓	0.7b	(/.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)))))
	1.6b	(/.f64 (sqrt.f64 3) (fma.f64 (pow.f64 6 1/4) (.f64 (pow.f64 6 1/4) (.f64 (PI.f64) t)) 0))

Compiler

Compiled 3986 to 2793 computations (29.9% saved)

regimes1.0s (21.2%)

Accuracy

Total 0.4b remaining (74.7%)

Threshold costs 0.4b (74.7%)

Counts

195 → 1

Compiler

Compiled 20442 to 16499 computations (19.3% 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

end141.0ms (2.8%)

Compiler: Compiled 215 to 174 computations (19.1% saved)

Details

analyze158.0ms (3.2%)

sample1.4s (28.8%)

simplify60.0ms (1.2%)

prune3.0ms (0.1%)

localize16.0ms (0.3%)

series204.0ms (4.1%)

rewrite84.0ms (1.7%)

simplify75.0ms (1.5%)

prune181.0ms (3.6%)

localize19.0ms (0.4%)

series286.0ms (5.8%)

rewrite79.0ms (1.6%)

simplify52.0ms (1%)

prune156.0ms (3.1%)

localize23.0ms (0.5%)

series323.0ms (6.5%)

rewrite69.0ms (1.4%)

simplify76.0ms (1.5%)

prune159.0ms (3.2%)

localize7.0ms (0.2%)

series20.0ms (0.4%)

rewrite75.0ms (1.5%)

simplify12.0ms (0.2%)

prune201.0ms (4.1%)

regimes1.0s (21.2%)

simplify2.0ms (0%)

end141.0ms (2.8%)

Profiling