Metrics for Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (37.4% of total)

ival-pi: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.5s (25.1%)

Results

1.2s	8256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 939.0ms

ival-mult: 548.0ms (58.3% of total)

ival-sub: 136.0ms (14.5% of total)

ival-pi: 87.0ms (9.3% of total)

ival-sqrt: 77.0ms (8.2% of total)

ival-div: 63.0ms (6.7% of total)

const: 25.0ms (2.7% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess121.0ms (2%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-define`
594×	`times-frac`
473×	`fma-neg`
440×	`unsub-neg`
428×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5036	236
6	7676	236

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v))))))))

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v))))))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))

Symmetry

(abs v)

explain145.0ms (2.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
-	-	`(.f64 #s(literal 6 binary64) (.f64 v v))`
-	-	`(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))`
-	-	`#s(literal 2 binary64)`
-	-	`v`
-	-	`#s(literal 6 binary64)`
-	-	`(*.f64 #s(literal 3 binary64) (PI.f64))`
-	-	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
-	-	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
-	-	`(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))`
-	-	`#s(literal 4 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 v v)`

Results

80.0ms

512×

valid

Compiler

Compiled 195 to 50 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 17.0ms (38.1% of total)

ival-sqrt: 14.0ms (31.4% of total)

ival-sub: 6.0ms (13.4% of total)

ival-div: 4.0ms (9% of total)

ival-pi: 2.0ms (4.5% of total)

const: 2.0ms (4.5% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 89 to 38 computations (57.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Status

Accuracy

Program

▶

100.0%

(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

▶

100.0%

(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))

▶

98.5%

(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))

Compiler

Compiled 58 to 43 computations (25.9% saved)

localize466.0ms (7.8%)

Algorithm

3×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	cost-diff	-6272	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
✓	accuracy	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
✓	accuracy	100.0%	(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
✓	accuracy	99.7%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	accuracy	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Rules

1332×	`fma-define`
756×	`fma-neg`
708×	`fma-neg`
645×	`unsub-neg`
576×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	299
1	49	293
2	116	277
3	334	277
4	1017	269
5	1836	265
6	3979	265
7	7169	265
0	19	243
1	38	231
2	68	231
3	146	231
4	395	231
5	757	223
6	1261	223
7	2724	223
8	4009	223
9	6942	223
0	19	194
1	35	194
2	62	194
3	119	194
4	324	194
5	652	186
6	1396	186
7	2900	186
8	4099	186
9	7091	186

Stop Event

1×	node limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

Call 2

Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
#s(literal 4/3 binary64)
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
#s(literal -6 binary64)

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (fma.f64 v (neg.f64 v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64))
#s(literal 4/3 binary64)
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (PI.f64) (fma.f64 v (neg.f64 v) #s(literal 1 binary64)))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v #s(literal -6 binary64)))
#s(literal -6 binary64)

Call 3

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(.f64 (.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (PI.f64) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))
(.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (PI.f64) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (.f64 #s(literal 6 binary64) v) v)
(.f64 v (.f64 v #s(literal 6 binary64)))
#s(literal 6 binary64)

Results

106.0ms

256×

valid

Compiler

Compiled 211 to 30 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 40.0ms (55.6% of total)

ival-sqrt: 13.0ms (18.1% of total)

ival-div: 9.0ms (12.5% of total)

ival-fma: 3.0ms (4.2% of total)

ival-sub: 3.0ms (4.2% of total)

ival-pi: 1.0ms (1.4% of total)

ival-add: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series64.0ms (1.1%)

Counts

16 → 156

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))>
#<alt (.f64 #s(literal 6 binary64) (.f64 v v))>
#<alt (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))>
#<alt (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))>
#<alt (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))>
#<alt (.f64 (.f64 v v) #s(literal -6 binary64))>
#<alt (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))>
#<alt (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))>
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (*.f64 v v)>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 v v))>

Outputs
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64))))>
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#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
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#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
2.0ms	v	@	0	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
1.0ms	v	@	0	(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
1.0ms	v	@	inf	(sqrt (+ (* (* v v) -6) 2))
1.0ms	v	@	inf	(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))

rewrite456.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff`
339×	`log1p-expm1-u`
194×	`associate-r`
192×	`expm1-log1p-u`
191×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	412
1	526	400
2	6578	400

Stop Event

1×	node limit

Counts

16 → 444

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (PI.f64))
(PI.f64)
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 4 binary64))
(.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
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(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify493.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

735×	`associate-r`
602×	`associate-l`
356×	`times-frac`
328×	`fma-define`
277×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	831	27622
1	2034	25615

Stop Event

1×	node limit

Counts

600 → 476

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64)))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64))))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal -9/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
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(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(.f64 #s(literal 4/3 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 6 binary64))) (-.f64 #s(literal -1 binary64) (+.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64)))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 2 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))

eval89.0ms (1.5%)

Compiler: Compiled 17890 to 2656 computations (85.2% saved)

prune164.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	688	4	692
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	689	6	695

Accuracy

100.0%

Counts

695 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	99.1%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	97.6%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	99.0%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	97.6%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 83 to 69 computations (16.9% saved)

localize298.0ms (5%)

Algorithm

4×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 v v)
	cost-diff	0	(.f64 (.f64 v v) #s(literal -6 binary64))
	cost-diff	0	(PI.f64)
	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
	cost-diff	0	(.f64 #s(literal 6 binary64) (.f64 v v))
	cost-diff	0	(PI.f64)
	cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
✓	cost-diff	0	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
	accuracy	99.7%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	accuracy	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	98.4%	(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))

Rules

89×	`fma-define`
20×	`associate-/r*`
17×	`*-commutative`
17×	`sub-neg`
16×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	13	42
2	15	42
3	17	42
4	18	42
0	12	66
1	18	66
2	33	60
3	46	60
4	48	60
0	20	208
1	45	202
2	90	186
3	150	186
4	182	186
5	215	186
6	261	186
7	285	186
8	306	186
9	355	186
0	16	148
1	22	136
2	32	136
3	33	136

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -6 binary64))))) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v #s(literal -6 binary64)))
(*.f64 v v)
v
#s(literal -6 binary64)

Call 2

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)
(*.f64 v v)
v

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)
(*.f64 v v)
v

Call 3

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 4 binary64)
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
#s(literal 4 binary64)
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Call 4

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
#s(literal 4/3 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)

Results

132.0ms

256×

valid

Compiler

Compiled 152 to 31 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sqrt: 45.0ms (62% of total)

ival-mult: 14.0ms (19.3% of total)

ival-div: 8.0ms (11% of total)

ival-pi: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

ival-add: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts

11 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))>
#<alt (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))>
#<alt (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))>
#<alt (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))>

Outputs
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
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Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/ 4 (* (* (* 3 (PI)) 1) (sqrt (- 2 (* 6 (* v v))))))
1.0ms	v	@	inf	(/ 4 (* (* (* 3 (PI)) 1) (sqrt (- 2 (* 6 (* v v))))))
1.0ms	v	@	inf	(* (* (* 3 (PI)) 1) (sqrt (- 2 (* 6 (* v v)))))
1.0ms	v	@	0	(* (* (* 3 (PI)) 1) (sqrt (- 2 (* 6 (* v v)))))
1.0ms	v	@	-inf	(/ 4 (* (* (* 3 (PI)) 1) (sqrt (- 2 (* 6 (* v v))))))

rewrite206.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log1p-expm1-u`
391×	`prod-diff`
208×	`expm1-log1p-u`
207×	`add-cube-cbrt`
206×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	259
1	531	213
2	6703	213

Stop Event

1×	node limit

Counts

11 → 274

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 16/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 18 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 18 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 18 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 18 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) (cbrt.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 18 binary64)) (neg.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 18 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(sqrt.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (PI.f64) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
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(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)))

simplify207.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

346×	`associate-r`
328×	`associate-l`
320×	`distribute-lft-neg-in`
307×	`distribute-rgt-neg-in`
280×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	681	12372
1	1548	11492
2	5456	11460

Stop Event

1×	node limit

Counts

322 → 394

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -9 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/2 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -81/2 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal -27/2 binary64) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))))))
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(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 27/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) v))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (/.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/108 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal -5/1944 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) v))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -4/3 binary64)) v) (PI.f64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) (neg.f64 v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (/.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v))
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/108 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal -5/1944 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))))))) (neg.f64 v))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -9 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -9 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal -9 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -27/2 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal -9 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
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(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))
(fabs.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (PI.f64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (PI.f64) #s(literal 3 binary64))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (PI.f64) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (PI.f64) #s(literal 3 binary64))

eval90.0ms (1.5%)

Compiler: Compiled 10868 to 2126 computations (80.4% saved)

prune104.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	621	2	623
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	623	6	629

Accuracy

100.0%

Counts

629 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	99.1%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	99.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	97.6%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 79 to 65 computations (17.7% saved)

localize86.0ms (1.4%)

Algorithm

2×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
	cost-diff	0	(PI.f64)
	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
	cost-diff	0	(.f64 (.f64 v v) #s(literal -6 binary64))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 3/4 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(PI.f64)
	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))

Rules

12×	`associate-/r*`
9×	`*-commutative`
4×	`fma-define`
3×	`1-exp`
3×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	170
1	32	146
2	50	146
3	68	146
4	69	146
0	10	38
1	12	38
2	15	38

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Call 2

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
#s(literal 1 binary64)
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(PI.f64)
#s(literal 3/4 binary64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))) (.f64 (PI.f64) #s(literal 3/4 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 1 binary64)
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(PI.f64)
#s(literal 3/4 binary64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v #s(literal -6 binary64)))
(*.f64 v v)
v
#s(literal -6 binary64)

Results

46.0ms

256×

valid

Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pi: 10.0ms (36.4% of total)

ival-div: 6.0ms (21.8% of total)

ival-mult: 5.0ms (18.2% of total)

ival-sqrt: 4.0ms (14.6% of total)

ival-add: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

5 → 12

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64)))>
#<alt (*.f64 (PI.f64) #s(literal 3/4 binary64))>

Outputs
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/ (/ 1 (* (PI) 3/4)) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	inf	(/ (/ 1 (* (PI) 3/4)) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	-inf	(/ (/ 1 (* (PI) 3/4)) (sqrt (+ 2 (* (* v v) -6))))

rewrite142.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u`
865×	`expm1-log1p-u`
227×	`prod-diff`
223×	`log1p-undefine`
167×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	298	78
2	4129	78

Stop Event

1×	node limit

Counts

5 → 141

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3/4 binary64)))
(*.f64 (PI.f64) #s(literal 3/4 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
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(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 1 binary64)))

simplify140.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

401×	`fma-define`
304×	`associate-/l/`
279×	`cube-prod`
251×	`exp-prod`
203×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	5548
1	830	5178
2	3242	4316

Stop Event

1×	node limit

Counts

153 → 216

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 4/3 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal -3/4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4/3 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 27/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 9/4 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 135/16 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (/.f64 #s(literal 27/8 binary64) (PI.f64)))) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) v)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 2 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 2 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) v)
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(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(/.f64 (PI.f64) #s(literal 4/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal -3/4 binary64)) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64))))
(*.f64 (PI.f64) #s(literal 3/4 binary64))

eval41.0ms (0.7%)

Compiler: Compiled 6271 to 1104 computations (82.4% saved)

prune51.0ms (0.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	353	6	359

Accuracy

100.0%

Counts

359 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	99.1%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	99.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	97.6%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 197 to 111 computations (43.7% saved)

regimes51.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Calls

4 calls:

42.0ms	(*.f64 v v)
3.0ms	v
3.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
3.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes184.0ms (3.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))

Calls

2 calls:

181.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Calls

2 calls:

2.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))

(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	197
1	46	197
2	53	197
3	57	197
4	59	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

soundness811.0ms (13.5%)

Rules

735×	`associate-r`
647×	`fma-define`
602×	`associate-l`
594×	`times-frac`
541×	`prod-diff`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	831	27622
1	2034	25615
0	34	412
1	526	400
2	6578	400
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5036	236
6	7676	236

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 421 to 133 computations (68.4% saved)

preprocess47.0ms (0.8%)

Remove: (abs v)
Compiler: Compiled 346 to 224 computations (35.3% saved)

Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

sample1.5s (25.1%)

preprocess121.0ms (2%)

explain145.0ms (2.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize466.0ms (7.8%)

series64.0ms (1.1%)

rewrite456.0ms (7.6%)

simplify493.0ms (8.2%)

eval89.0ms (1.5%)

prune164.0ms (2.7%)

localize298.0ms (5%)

series14.0ms (0.2%)

rewrite206.0ms (3.4%)

simplify207.0ms (3.4%)

eval90.0ms (1.5%)

prune104.0ms (1.7%)

localize86.0ms (1.4%)

series4.0ms (0.1%)

rewrite142.0ms (2.4%)

simplify140.0ms (2.3%)

eval41.0ms (0.7%)

prune51.0ms (0.8%)

regimes51.0ms (0.8%)

regimes184.0ms (3.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify5.0ms (0.1%)

soundness811.0ms (13.5%)

preprocess47.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	42
1	13	42
2	15	42
3	17	42
4	18	42
0	12	66
1	18	66
2	33	60
3	46	60
4	48	60
0	20	208
1	45	202
2	90	186
3	150	186
4	182	186
5	215	186
6	261	186
7	285	186
8	306	186
9	355	186
0	16	148
1	22	136
2	32	136
3	33	136

Iter	Nodes	Cost
0	10	42
1	13	42
2	15	42
3	17	42
4	18	42
0	12	66
1	18	66
2	33	60
3	46	60
4	48	60
0	20	208
1	45	202
2	90	186
3	150	186
4	182	186
5	215	186
6	261	186
7	285	186
8	306	186
9	355	186
0	16	148
1	22	136
2	32	136
3	33	136

Iter	Nodes	Cost
0	10	42
1	13	42
2	15	42
3	17	42
4	18	42
0	12	66
1	18	66
2	33	60
3	46	60
4	48	60
0	20	208
1	45	202
2	90	186
3	150	186
4	182	186
5	215	186
6	261	186
7	285	186
8	306	186
9	355	186
0	16	148
1	22	136
2	32	136
3	33	136