Details

analyze1.4s (7.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
3.1%	46.9%	50%	6
3.1%	45.3%	51.6%	7
3.1%	44.5%	52.4%	8
3.5%	44.1%	52.4%	9
3.7%	43.9%	52.4%	10
3.8%	43.8%	52.4%	11
3.8%	43.8%	52.4%	12
3.8%	43.8%	52.4%	13
3.8%	43.7%	52.4%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample11.8s (68.4%)

Results

3.8s	4039×	body	1024	valid
3.3s	3937×	body	1024	invalid
1.3s	2048×	body	512	valid
1.3s	2060×	body	512	invalid
834.0ms	513×	body	2048	valid
502.0ms	1009×	body	256	valid
480.0ms	997×	body	256	invalid
156.0ms	647×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-neg_binary64`
569×	`fma-def_binary64`
365×	`div-sub_binary64`
240×	`associate-/r*_binary64`
202×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	117	59
3	295	55
4	736	55
5	1625	55
6	4003	55
7	5053	55

prune4.0ms (0%)

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

62.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	62.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

62.3b

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 136 to 100 computations (26.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.3b	(*.f64 (PI.f64) f)
✓	1.0b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
✓	5.5b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series47.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

30.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
10.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
4.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
2.0ms	(*.f64 (PI.f64) f)

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
38×	`times-frac_binary64`
21×	`prod-diff_binary64`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
6.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
5.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
3.0ms	(*.f64 (PI.f64) f)

simplify200.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
588×	`times-frac_binary64`
366×	`fma-neg_binary64`
225×	`cancel-sign-sub-inv_binary64`
196×	`exp-prod_binary64`

Counts

207 → 258

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	8603
1	652	7401
2	1996	6651
3	4169	6609
4	4840	6609

prune299.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	3	350

Error

1.6b

Counts

350 → 3

Alt Table

Status	Error	Program
	62.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
▶	1.6b	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	1.8b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 15920 to 10310 computations (35.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(pow.f64 (*.f64 f (PI.f64)) 3)
✓	0.4b	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
✓	1.0b	(pow.f64 (PI.f64) 5)

series46.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

31.0ms	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
8.0ms	(pow.f64 (*.f64 f (PI.f64)) 3)
6.0ms	(/.f64 4 (*.f64 f (PI.f64)))
0.0ms	(pow.f64 (PI.f64) 5)

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

4 → 101

Calls

4 calls:

5.0ms	(.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
3.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(pow.f64 (*.f64 f (PI.f64)) 3)
1.0ms	(pow.f64 (PI.f64) 5)

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

344×	`times-frac_binary64`
328×	`associate-/l*_binary64`
315×	`fma-neg_binary64`
303×	`fma-def_binary64`
220×	`unswap-sqr_binary64`

Counts

125 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3602
1	614	3215
2	2100	3188
3	4931	3183
4	5033	3183

prune250.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	165	7	172
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	166	9	175

Error

1.0b

Counts

175 → 9

Alt Table

Status	Error	Program
	62.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	12.6b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))
	1.8b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	1.6b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	1.9b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64))) 3))
▶	1.5b	(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
	1.6b	(.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	1.9b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))))) (/.f64 -4 (PI.f64))))
	2.6b	(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))))) (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))))) (/.f64 -4 (PI.f64))))

Compiler

Compiled 7361 to 4755 computations (35.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
✓	0.3b	(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
✓	0.4b	(/.f64 (log.f64 f) (PI.f64))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

series99.0ms (0.6%)

Counts

4 → 17

Calls

4 calls:

66.0ms	(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
28.0ms	(/.f64 (log.f64 f) (PI.f64))
4.0ms	(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
0.0ms	(log.f64 (/.f64 4 (PI.f64)))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`
19×	`add-exp-log_binary64`

Counts

4 → 104

Calls

4 calls:

9.0ms	(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
4.0ms	(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
3.0ms	(/.f64 (log.f64 f) (PI.f64))
2.0ms	(log.f64 (/.f64 4 (PI.f64)))

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

359×	`fma-neg_binary64`
337×	`associate-*l/_binary64`
303×	`distribute-rgt-in_binary64`
276×	`distribute-lft-in_binary64`
215×	`cancel-sign-sub-inv_binary64`

Counts

121 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2810
1	584	2618
2	1968	2472
3	4619	2472
4	4998	2472
5	4878	2472

prune205.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	145	10	155

Error

1.0b

Counts

155 → 10

Alt Table

Status	Error	Program
	62.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	12.6b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))
	1.8b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
▶	1.6b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	1.7b	(cbrt.f64 (pow.f64 (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))) 3))
	1.6b	(.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	2.6b	(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))))) (.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))))) (/.f64 -4 (PI.f64))))
	1.8b	(-.f64 (.f64 4 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
	1.8b	(/.f64 (-.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 16 (/.f64 (PI.f64) (log.f64 f)))) (pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 f f)) 1/12))) 4)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) 4 (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (.f64 (PI.f64) (*.f64 f f)) 1/12))))
	2.5b	(-.f64 (.f64 4 (.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))

Compiler

Compiled 5659 to 3706 computations (34.5% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.3b	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

series485.0ms (2.8%)

Counts

2 → 16

Calls

2 calls:

244.0ms	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
241.0ms	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
33×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
32×	`pow1_binary64`

Counts

2 → 111

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
6.0ms	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

714×	`div-sub_binary64`
472×	`fma-def_binary64`
352×	`associate-l_binary64`
266×	`associate-r_binary64`
158×	`distribute-rgt-in_binary64`

Counts

127 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2615
1	341	2458
2	998	2368
3	3684	2368
4	4880	2368
5	4898	2368

prune153.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	141	8	149

Error

1.0b

Counts

149 → 8

Alt Table

Status	Error	Program
	1.8b	(.f64 -4 (/.f64 (-.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (log.f64 f) (log.f64 f))) (.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	62.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	12.6b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 1/483840 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 5)) (fma.f64 1/12 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))
	2.0b	(.f64 -4 (.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (sqrt.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))
	1.8b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	1.6b	(.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 f (PI.f64)) 3) -1/2880 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	1.8b	(-.f64 (.f64 4 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
	1.9b	(.f64 -4 (/.f64 (.f64 (sqrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (sqrt.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (PI.f64)))

Compiler

Compiled 3064 to 1938 computations (36.7% saved)

regimes1.5s (8.9%)

Accuracy

Total 0.6b remaining (30.2%)

Threshold costs 0.6b (30.2%)

Counts

240 → 1

Compiler

Compiled 39612 to 29756 computations (24.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	50
1	25	50
2	25	50

end184.0ms (1.1%)

Compiler: Compiled 294 to 206 computations (29.9% saved)

Details

analyze1.4s (7.9%)

sample11.8s (68.4%)

simplify47.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series47.0ms (0.3%)

rewrite36.0ms (0.2%)

simplify200.0ms (1.2%)

prune299.0ms (1.7%)

localize17.0ms (0.1%)

series46.0ms (0.3%)

rewrite17.0ms (0.1%)

simplify126.0ms (0.7%)

prune250.0ms (1.5%)

localize15.0ms (0.1%)

series99.0ms (0.6%)

rewrite23.0ms (0.1%)

simplify125.0ms (0.7%)

prune205.0ms (1.2%)

localize9.0ms (0%)

series485.0ms (2.8%)

rewrite24.0ms (0.1%)

simplify118.0ms (0.7%)

prune153.0ms (0.9%)

regimes1.5s (8.9%)

simplify4.0ms (0%)

end184.0ms (1.1%)

Profiling