Metrics for VandenBroeck and Keller, Equation (20)

analyze382.0ms (1.2%)

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%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
7.4%	3.5%	44.1%	0%	0%	28.1%	24.2%	9
7.8%	3.7%	43.9%	0%	0%	28.1%	24.2%	10
8%	3.8%	43.8%	0%	0%	28.1%	24.2%	11
8%	3.8%	43.8%	0%	0%	28.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

Operation ival-div, time spent: 102.0ms, 35.0% of total-time

Operation ival-mult, time spent: 62.0ms, 21.0% of total-time

Operation ival-exp, time spent: 45.0ms, 16.0% of total-time

Operation ival-neg, time spent: 23.0ms, 8.0% of total-time

Operation ival-log, time spent: 23.0ms, 8.0% of total-time

Operation ival-sub, time spent: 10.0ms, 3.0% of total-time

Operation ival-add, time spent: 9.0ms, 3.0% of total-time

Operation ival-pi, time spent: 8.0ms, 3.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

sample14.6s (46.3%)

Results

6.0s	4668×	2	valid
4.3s	4331×	2	invalid
713.0ms	1874×	0	valid
911.0ms	1713×	1	valid
927.0ms	1563×	1	invalid
388.0ms	1201×	0	invalid
1.0ms	5×	0	unsamplable
1.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 10.5s

Operation ival-exp, time spent: 2.5s, 23.0% of total-time

Operation ival-div, time spent: 2.3s, 22.0% of total-time

Operation ival-mult, time spent: 1.9s, 18.0% of total-time

Operation ival-add, time spent: 1.2s, 11.0% of total-time

Operation ival-sub, time spent: 1.2s, 11.0% of total-time

Operation ival-log, time spent: 628.0ms, 6.0% of total-time

Operation ival-neg, time spent: 523.0ms, 5.0% of total-time

Operation const, time spent: 218.0ms, 2.0% of total-time

Operation ival-pi, time spent: 212.0ms, 2.0% of total-time

Bogosity

preprocess3.0s (9.5%)

Algorithm

1×	egg-herbie

Rules

1554×	`fma-def`
850×	`associate-/l*`
696×	`associate-*r/`
536×	`cancel-sign-sub-inv`
520×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
248	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
6	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1	-	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
0	-	-	`(PI.f64)`
0	-	-	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
0	-	-	`(*.f64 (/.f64 (PI.f64) 4) f)`
0	-	-	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
0	-	-	`f`
0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
0	-	-	`(/.f64 (PI.f64) 4)`
0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	-	`4`
0	-	-	`1`
0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.5s

Operation ival-exp, time spent: 751.0ms, 30.0% of total-time

Operation ival-div, time spent: 476.0ms, 19.0% of total-time

Operation ival-mult, time spent: 470.0ms, 19.0% of total-time

Operation ival-add, time spent: 392.0ms, 15.0% of total-time

Operation ival-sub, time spent: 118.0ms, 5.0% of total-time

Operation ival-neg, time spent: 113.0ms, 4.0% of total-time

Operation ival-log, time spent: 104.0ms, 4.0% of total-time

Operation ival-pi, time spent: 74.0ms, 3.0% of total-time

Operation const, time spent: 39.0ms, 2.0% of total-time

eval3.0ms (0%)

Compiler: Compiled 169 to 118 computations (30.2% saved)

prune5.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

5.4%

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize1.3s (4.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	97.3%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	10.1%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-exp, time spent: 349.0ms, 34.0% of total-time

Operation ival-div, time spent: 244.0ms, 24.0% of total-time

Operation ival-mult, time spent: 183.0ms, 18.0% of total-time

Operation ival-neg, time spent: 66.0ms, 6.0% of total-time

Operation ival-sub, time spent: 62.0ms, 6.0% of total-time

Operation ival-add, time spent: 56.0ms, 5.0% of total-time

Operation ival-log, time spent: 48.0ms, 5.0% of total-time

Operation const, time spent: 19.0ms, 2.0% of total-time

Operation ival-pi, time spent: 4.0ms, 0.0% of total-time

series91.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
35.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

rewrite210.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`associate-r`
168×	`associate-l`
138×	`add-exp-log`
137×	`add-log-exp`
137×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	313	112
2	5532	112

Stop Event

1×

unsound

Counts

4 → 64

Calls

Call 1

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

Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1344×	`times-frac`
1314×	`fma-def`
662×	`distribute-lft-in`
658×	`distribute-rgt-in`
622×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	423	3549
2	1634	3244

Stop Event

1×	node limit

Counts

112 → 62

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
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-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval60.0ms (0.2%)

Compiler: Compiled 2907 to 2198 computations (24.4% saved)

prune21.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	9	69

Accuracy

97.1%

Counts

69 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
▶	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
▶	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
▶	5.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 490 to 390 computations (20.4% saved)

localize3.1s (9.8%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
✓	97.3%	(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
✓	10.1%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.5%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	97.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.4%	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 537 to 350 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.7s

Operation ival-log, time spent: 679.0ms, 25.0% of total-time

Operation ival-exp, time spent: 533.0ms, 20.0% of total-time

Operation ival-mult, time spent: 514.0ms, 19.0% of total-time

Operation ival-div, time spent: 345.0ms, 13.0% of total-time

Operation ival-neg, time spent: 223.0ms, 8.0% of total-time

Operation ival-sub, time spent: 179.0ms, 7.0% of total-time

Operation ival-add, time spent: 135.0ms, 5.0% of total-time

Operation const, time spent: 56.0ms, 2.0% of total-time

Operation ival-pi, time spent: 5.0ms, 0.0% of total-time

series180.0ms (0.6%)

Counts

16 → 128

Calls

42 calls:

Time	Variable		Point	Expression
55.0ms	f	@	0	(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
27.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
22.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
16.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
15.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite165.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

365×	`add-exp-log`
362×	`log1p-expm1-u`
362×	`expm1-log1p-u`
359×	`add-log-exp`
359×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	623
1	848	513

Stop Event

1×	node limit

Counts

16 → 349

Calls

Call 1

Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 f (PI.f64))

Outputs
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))) 1)
(.f64 (.f64 4 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 2)) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))) (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 3)
(pow.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 2)
(pow.f64 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 2))
(log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 4 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2)) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2)) (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2)))))
(.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))))
(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 2))
(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))
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(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

simplify190.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-r`
1038×	`fma-def`
556×	`sqr-pow`
496×	`times-frac`
408×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	932	21947
1	2369	19270

Stop Event

1×	node limit

Counts

477 → 540

Calls

Call 1

Inputs
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

Outputs
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (/.f64 (.f64 8 (pow.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 3)) (.f64 8 (pow.f64 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 3))))
(cbrt.f64 (.f64 1 (/.f64 (pow.f64 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))) 3) (pow.f64 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))) 3))))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
(exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) 1))
(/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) 3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) 2)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) -1)
(/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64)) 2))
(fabs.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) f)
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(fabs.f64 (*.f64 (PI.f64) f))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(*.f64 (PI.f64) f)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)

eval336.0ms (1.1%)

Compiler: Compiled 16366 to 11752 computations (28.2% saved)

prune127.0ms (0.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	573	18	591
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	580	20	600

Accuracy

99.6%

Counts

600 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
	96.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
	96.4%	(neg.f64 (/.f64 1 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
✓	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
▶	96.4%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	99.2%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
	35.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) 1/3))) (PI.f64))))
	5.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 f))) (pow.f64 (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))) 2)) (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) (PI.f64))))
	96.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 2) 1/4)))) (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) 0)) (PI.f64))))
	96.6%	(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
	75.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
▶	95.2%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))

Compiler

Compiled 853 to 697 computations (18.3% saved)

localize576.0ms (1.8%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.4%	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
✓	99.3%	(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2)
✓	97.4%	(PI.f64)
✓	99.5%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	98.3%	(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	97.4%	(PI.f64)
	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 1 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))
✓	97.4%	(PI.f64)
✓	99.4%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.4%	(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
✓	97.4%	(PI.f64)
✓	100.0%	(tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))
✓	99.6%	(.f64 (.f64 (PI.f64) 1/4) f)
✓	99.5%	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
✓	97.4%	(PI.f64)

Compiler

Compiled 351 to 228 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 421.0ms

Operation ival-log, time spent: 136.0ms, 32.0% of total-time

Operation ival-div, time spent: 120.0ms, 29.0% of total-time

Operation ival-mult, time spent: 70.0ms, 17.0% of total-time

Operation ival-add, time spent: 18.0ms, 4.0% of total-time

Operation ival-log1p, time spent: 16.0ms, 4.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 3.0% of total-time

Operation ival-neg, time spent: 11.0ms, 3.0% of total-time

Operation ival-tanh, time spent: 9.0ms, 2.0% of total-time

Operation ival-expm1, time spent: 7.0ms, 2.0% of total-time

Operation ival-pow, time spent: 6.0ms, 1.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series140.0ms (0.4%)

Counts

18 → 144

Calls

39 calls:

Time	Variable		Point	Expression
88.0ms	f	@	inf	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
29.0ms	f	@	-inf	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
6.0ms	f	@	0	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
3.0ms	f	@	0	(tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))
1.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))

rewrite164.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`associate-r`
330×	`associate-l`
310×	`frac-times`
262×	`log1p-expm1-u`
261×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	404
1	740	390

Stop Event

1×	node limit

Counts

18 → 573

Calls

Call 1

Inputs
(PI.f64)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(.f64 (.f64 (PI.f64) 1/4) f)
(tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))
(PI.f64)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(PI.f64)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))))
(/.f64 1 (*.f64 f (PI.f64)))
(PI.f64)
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(PI.f64)
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 0 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 1 (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) -1)
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 2))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)
(/.f64 (PI.f64) (/.f64 4 f))
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (neg.f64 (PI.f64)) (/.f64 -4 f))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(/.f64 (*.f64 f 1) (/.f64 4 (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 4 f) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1))
(exp.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 4 f))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(-.f64 (exp.f64 (log1p.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)))
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))) (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 1 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)))
(.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2) (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 1 (/.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1) (expm1.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 1/4 f)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))) (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 -1 (neg.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (neg.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))))
(pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1)
(pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -1)
(pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3)
(pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3) 1/3)
(pow.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(pow.f64 (exp.f64 -1) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))
(log.f64 (exp.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3))
(expm1.f64 (log1p.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(exp.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(exp.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1))
(log1p.f64 (expm1.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) -1)
(-.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 3) 1) (+.f64 (.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) (+.f64 1 (.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))) 1) (+.f64 (+.f64 1 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 1))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -1) (*.f64 (PI.f64) -1/4))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))
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(.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4)) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) -2)) (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) f))) 4))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 f)) (.f64 (sqrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) f) -1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) -1/2) 4))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 f)) 1) (/.f64 (sqrt.f64 (/.f64 4 f)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(.f64 (.f64 4 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) -2))) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) f))))
(.f64 (.f64 4 (pow.f64 (.f64 (PI.f64) f) -1/2)) (pow.f64 (.f64 (PI.f64) f) -1/2))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) -2) 16))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

simplify240.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1112×	`times-frac`
1050×	`associate-/r*`
802×	`associate-/l*`
676×	`associate-*r/`
612×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	919	26466
1	2392	24212

Stop Event

1×	node limit

Counts

717 → 537

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
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(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
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(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) -2)) (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) f))) 4))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 f)) (.f64 (sqrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) f) -1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) -1/2) 4))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 f)) 1) (/.f64 (sqrt.f64 (/.f64 4 f)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(.f64 (.f64 4 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) -2))) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) f))))
(.f64 (.f64 4 (pow.f64 (.f64 (PI.f64) f) -1/2)) (pow.f64 (.f64 (PI.f64) f) -1/2))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) -2) 16))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

Outputs
(.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))
(+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(-.f64 (/.f64 (*.f64 f -2) (/.f64 (PI.f64) 0)) (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 4 f))) (PI.f64)))
(+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(fma.f64 -2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) (.f64 -1/2 (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))))))))
(fma.f64 -2 (.f64 0 (/.f64 f (PI.f64))) (fma.f64 -1/2 (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64)) 0) (/.f64 (PI.f64) (pow.f64 f 2))) (/.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
(+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -48 (/.f64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (.f64 -1/8 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))))))
(fma.f64 -2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) (fma.f64 -1/2 (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))))) (.f64 -1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -48 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 0) (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))))) (fma.f64 16 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (.f64 24 (/.f64 (-.f64 (.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 4) -1/3072)))) (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))))) (PI.f64)))))))))))
(fma.f64 -2 (.f64 0 (/.f64 f (PI.f64))) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (+.f64 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (PI.f64) 0)) (fma.f64 24 (/.f64 (-.f64 (.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 (pow.f64 (PI.f64) 3) -1/192 (.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32)))) (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 4) -1/3072)))) (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) 0)) (PI.f64)) 0)))) (.f64 -1/2 (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (PI.f64) 3) -1/384 (.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64)) 0) (/.f64 (PI.f64) (pow.f64 f 2))))) (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 4 f))) (PI.f64))))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (neg.f64 (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (neg.f64 (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) -2)) (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) f))) 4))
(.f64 (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) -2)) (/.f64 4 (cbrt.f64 (*.f64 f (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (sqrt.f64 (/.f64 4 f)) (.f64 (sqrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (pow.f64 (.f64 (PI.f64) f) -1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) -1/2) 4))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 1 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 1 (.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 1 (.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (.f64 f (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 2 (.f64 (cbrt.f64 f) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 1 (.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 1 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 f)) 1) (/.f64 (sqrt.f64 (/.f64 4 f)) (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 1 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 4 (cbrt.f64 (pow.f64 (.f64 (PI.f64) f) -2))) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) -2)) (/.f64 4 (cbrt.f64 (*.f64 f (PI.f64)))))
(.f64 (.f64 4 (pow.f64 (.f64 (PI.f64) f) -1/2)) (pow.f64 (.f64 (PI.f64) f) -1/2))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) -2) 16))
(sqrt.f64 (.f64 16 (pow.f64 (.f64 f (PI.f64)) -2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)

eval350.0ms (1.1%)

Compiler: Compiled 18182 to 13297 computations (26.9% saved)

prune175.0ms (0.6%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	833	9	842
Fresh	7	7	14
Picked	1	4	5
Done	0	1	1
Total	841	21	862

Accuracy

99.6%

Counts

862 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.6%	(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) 4) (PI.f64)))
	96.6%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
▶	96.4%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	96.0%	(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
✓	96.4%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	96.5%	(neg.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	96.8%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)))) (PI.f64))))
✓	99.2%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
	5.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 f))) (pow.f64 (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))) 2)) (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) (PI.f64))))
▶	3.9%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
	96.6%	(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
	75.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
✓	95.2%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
	96.0%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)))

Compiler

Compiled 735 to 602 computations (18.1% saved)

localize1.2s (3.8%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.5%	(/.f64 4 (*.f64 (PI.f64) f))
✓	98.5%	(sqrt.f64 (PI.f64))
	97.4%	(PI.f64)
✓	99.5%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	98.2%	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	97.4%	(PI.f64)
✓	100.0%	(tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))
✓	99.5%	(/.f64 (PI.f64) (/.f64 4 f))
	97.4%	(PI.f64)
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.5%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
	97.4%	(PI.f64)
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/4))
✓	99.6%	(.f64 (.f64 2 (PI.f64)) (*.f64 1/4 f))
✓	99.5%	(/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))
	97.4%	(PI.f64)

Compiler

Compiled 421 to 281 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-exp, time spent: 310.0ms, 31.0% of total-time

Operation ival-log, time spent: 235.0ms, 23.0% of total-time

Operation ival-mult, time spent: 154.0ms, 15.0% of total-time

Operation ival-div, time spent: 135.0ms, 13.0% of total-time

Operation ival-expm1, time spent: 56.0ms, 6.0% of total-time

Operation ival-add, time spent: 37.0ms, 4.0% of total-time

Operation ival-pow, time spent: 28.0ms, 3.0% of total-time

Operation const, time spent: 18.0ms, 2.0% of total-time

Operation ival-tanh, time spent: 12.0ms, 1.0% of total-time

Operation ival-neg, time spent: 11.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 0.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series59.0ms (0.2%)

Counts

15 → 168

Calls

42 calls:

Time	Variable		Point	Expression
26.0ms	f	@	inf	(/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))
22.0ms	f	@	-inf	(/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))
3.0ms	f	@	0	(/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))
2.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))
1.0ms	f	@	0	(tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))

rewrite154.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`associate-r`
350×	`associate-l`
283×	`log1p-expm1-u`
282×	`expm1-log1p-u`
281×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	421
1	657	317

Stop Event

1×	node limit

Counts

15 → 518

Calls

Call 1

Inputs
(/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))
(.f64 (.f64 2 (PI.f64)) (*.f64 1/4 f))
(.f64 (PI.f64) (.f64 f 1/4))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(/.f64 (PI.f64) (/.f64 4 f))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))
(tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 4 (*.f64 (PI.f64) f))
(sqrt.f64 (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)

Outputs
(-.f64 0 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
(-.f64 (/.f64 (log.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) (PI.f64)) (/.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f))) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 1 (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2) (.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(.f64 -1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1)
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 2))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
(+.f64 0 (.f64 (.f64 (PI.f64) 1/2) f))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1)
(/.f64 2 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 2))
(log.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 1/4 f) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/4 f) 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1)
(/.f64 (PI.f64) (/.f64 4 f))
(/.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (neg.f64 (PI.f64)) (/.f64 -4 f))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) -4)
(/.f64 -1 (neg.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (/.f64 -4 f)))
(pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/4 f))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) f)) 1/2) 2)
(neg.f64 (/.f64 (PI.f64) (/.f64 -4 f)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 1/4 f) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/4 f) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 4 f) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 1)
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) -1)
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(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
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(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

simplify259.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1088×	`times-frac`
922×	`associate-/r*`
632×	`associate-*r/`
598×	`associate-*l/`
524×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	23529
1	2491	22241

Stop Event

1×	node limit

Counts

686 → 560

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
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(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1) (+.f64 1 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1) (+.f64 1 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1) (+.f64 1 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1) (+.f64 1 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1) (+.f64 1 (exp.f64 (.f64 1/2 (*.f64 f (PI.f64))))))) (PI.f64)))
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(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
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(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
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(*.f64 f (PI.f64))
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(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
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(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
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(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
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(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 f 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 f 2))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 f 2))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) -1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 f 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 f 2))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 f 2))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (/.f64 4 f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) -1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

Outputs
(.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
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(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))

eval1.1s (3.5%)

Compiler: Compiled 39967 to 28769 computations (28% saved)

prune364.0ms (1.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1895	11	1906
Fresh	4	7	11
Picked	1	4	5
Done	0	5	5
Total	1900	27	1927

Accuracy

99.6%

Counts

1927 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.6%	(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) 4) (PI.f64)))
	96.6%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
✓	96.4%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	96.3%	(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	96.0%	(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	96.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
	96.4%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
✓	96.4%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	95.2%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
✓	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
✓	96.5%	(neg.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	96.3%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
	96.8%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))))
✓	99.2%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
	1.5%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (+.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/2))))) (PI.f64))))
	1.5%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1) (/.f64 (sqrt.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 1)))) (PI.f64))))
	1.5%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) f))))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
✓	3.9%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
	96.6%	(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
	75.4%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
✓	95.2%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
	96.0%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)))

Compiler

Compiled 1483 to 1143 computations (22.9% saved)

regimes89.0ms (0.3%)

Counts

48 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
(neg.f64 (/.f64 1 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) 4) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)))
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(neg.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (+.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/2))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (*.f64 f 1/4))) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 2) 1/4)))) (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) 0)) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f))) (+.f64 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4))) 1)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) 1) (/.f64 (sqrt.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/2) f)) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) 1/3))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 f))) (pow.f64 (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))) 2)) (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) (PI.f64))))

Outputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))

Calls

6 calls:

36.0ms	f
25.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
10.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
99.2%	1	`f`
99.2%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
99.2%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
99.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
99.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
99.2%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes22.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
(neg.f64 (/.f64 1 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) 4) (PI.f64)))

Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
(neg.f64 (/.f64 1 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))

Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

14 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))))
(neg.f64 (/.f64 1 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))

Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes45.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))

(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))

(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))

Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))

Outputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch53.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	0.13501600015293783	59.333824189393965

Results

46.0ms	127×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 266 to 225 computations (15.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

Operation ival-exp, time spent: 13.0ms, 37.0% of total-time

Operation ival-div, time spent: 7.0ms, 20.0% of total-time

Operation ival-mult, time spent: 5.0ms, 14.0% of total-time

Operation ival-log, time spent: 3.0ms, 9.0% of total-time

Operation ival-add, time spent: 2.0ms, 6.0% of total-time

Operation ival-neg, time spent: 2.0ms, 6.0% of total-time

Operation ival-sub, time spent: 2.0ms, 6.0% of total-time

Operation ival-pi, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch59.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
59.0ms	0.13501600015293783	59.333824189393965

Results

53.0ms	127×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 258 to 217 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation ival-div, time spent: 13.0ms, 38.0% of total-time

Operation ival-exp, time spent: 6.0ms, 17.0% of total-time

Operation ival-mult, time spent: 5.0ms, 15.0% of total-time

Operation ival-log, time spent: 3.0ms, 9.0% of total-time

Operation ival-add, time spent: 2.0ms, 6.0% of total-time

Operation ival-neg, time spent: 2.0ms, 6.0% of total-time

Operation ival-sub, time spent: 2.0ms, 6.0% of total-time

Operation ival-pi, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

380×	`unsub-neg`
266×	`neg-mul-1`
152×	`distribute-lft-neg-in`
118×	`distribute-neg-out`
86×	`distribute-lft-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	364
1	98	356
2	166	356
3	230	352
4	301	352
5	330	352
6	469	352
7	762	352
8	913	352

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(if (<=.f64 f 3422735716801577/2251799813685248) (neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)))))
(if (<=.f64 f 3422735716801577/2251799813685248) (neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))

Outputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(.f64 4 (neg.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64)))
(if (<=.f64 f 3422735716801577/2251799813685248) (neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)))))
(if (<=.f64 f 3422735716801577/2251799813685248) (.f64 (neg.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (.f64 (neg.f64 4) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
(if (<=.f64 f 3422735716801577/2251799813685248) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 4) (PI.f64))) (.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)) (neg.f64 4)))
(if (<=.f64 f 3422735716801577/2251799813685248) (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)) (neg.f64 4)))
(if (<=.f64 f 3422735716801577/2251799813685248) (neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)))))
(if (<=.f64 f 3422735716801577/2251799813685248) (/.f64 (neg.f64 (.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64)) (.f64 (neg.f64 4) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64))))
(if (<=.f64 f 3422735716801577/2251799813685248) (/.f64 (.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 4)) (PI.f64)) (.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (PI.f64)) (neg.f64 4)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 4)) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/4) f)) (PI.f64)))
(.f64 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/4) f)) (PI.f64)) (neg.f64 4))

Compiler

Compiled 104 to 84 computations (19.2% saved)

soundness2.4s (7.6%)

Rules

1344×	`times-frac`
1344×	`times-frac`
1314×	`fma-def`
1314×	`fma-def`
1186×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	623
1	848	513
0	932	21947
1	2369	19270
0	42	404
1	740	390
0	919	26466
1	2392	24212
0	973	23529
1	2491	22241
0	142	3777
1	423	3549
2	1634	3244
0	932	21947
1	2369	19270
0	932	21947
1	2369	19270
0	142	3777
1	423	3549
2	1634	3244

Stop Event

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

Compiler

Compiled 783 to 587 computations (25% saved)

end0.0ms (0%)

preprocess155.0ms (0.5%)

Compiler: Compiled 274 to 208 computations (24.1% saved)

Iter	Nodes	Cost
0	50	364
1	98	356
2	166	356
3	230	352
4	301	352
5	330	352
6	469	352
7	762	352
8	913	352

Iter	Nodes	Cost
0	50	364
1	98	356
2	166	356
3	230	352
4	301	352
5	330	352
6	469	352
7	762	352
8	913	352

analyze382.0ms (1.2%)

sample14.6s (46.3%)

preprocess3.0s (9.5%)

eval3.0ms (0%)

prune5.0ms (0%)

localize1.3s (4.1%)

series91.0ms (0.3%)

rewrite210.0ms (0.7%)

simplify87.0ms (0.3%)

eval60.0ms (0.2%)

prune21.0ms (0.1%)

localize3.1s (9.8%)

series180.0ms (0.6%)

rewrite165.0ms (0.5%)

simplify190.0ms (0.6%)

eval336.0ms (1.1%)

prune127.0ms (0.4%)

localize576.0ms (1.8%)

series140.0ms (0.4%)

rewrite164.0ms (0.5%)

simplify240.0ms (0.8%)

eval350.0ms (1.1%)

prune175.0ms (0.6%)

localize1.2s (3.8%)

series59.0ms (0.2%)

rewrite154.0ms (0.5%)

simplify259.0ms (0.8%)

eval1.1s (3.5%)

prune364.0ms (1.2%)

regimes89.0ms (0.3%)

regimes22.0ms (0.1%)

regimes20.0ms (0.1%)

regimes8.0ms (0%)

regimes45.0ms (0.1%)

regimes3.0ms (0%)

bsearch53.0ms (0.2%)

bsearch59.0ms (0.2%)

simplify38.0ms (0.1%)

soundness2.4s (7.6%)

end0.0ms (0%)

preprocess155.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	50	364
1	98	356
2	166	356
3	230	352
4	301	352
5	330	352
6	469	352
7	762	352
8	913	352