Metrics for Sample trimmed logistic on [-pi, pi]

analyze133.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	1.6%	98.4%	0%	0%	0%	0
0%	0%	1.6%	98.4%	0%	0%	0%	1
0%	0%	1.6%	98.4%	0%	0%	0%	2
25%	0.4%	1.2%	98.4%	0%	0%	0%	3
37.5%	0.6%	1%	98.4%	0%	0%	0%	4
56.3%	0.9%	0.7%	98.4%	0%	0%	0%	5
65.6%	1%	0.5%	98.4%	0%	0%	0%	6
76.6%	1.2%	0.4%	98.4%	0%	0%	0%	7
82%	1.3%	0.3%	98.4%	0%	0%	0%	8
87.9%	1.4%	0.2%	98.4%	0%	0%	0%	9
90.8%	1.4%	0.1%	98.4%	0%	0%	0%	10
93.8%	1.5%	0.1%	98.4%	0%	0%	0%	11
95.4%	1.5%	0.1%	98.4%	0%	0%	0%	12

Compiler

Compiled 54 to 41 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

Operation ival-div, time spent: 16.0ms, 24.0% of total-time

Operation ival-add, time spent: 8.0ms, 12.0% of total-time

Operation ival-neg, time spent: 8.0ms, 12.0% of total-time

Operation ival-log, time spent: 7.0ms, 11.0% of total-time

Operation ival-mult, time spent: 6.0ms, 9.0% of total-time

Operation ival-<=, time spent: 6.0ms, 9.0% of total-time

Operation ival-exp, time spent: 5.0ms, 8.0% of total-time

Operation ival-sub, time spent: 4.0ms, 6.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

Operation ival-pi, time spent: 2.0ms, 3.0% of total-time

Operation ival-and, time spent: 1.0ms, 2.0% of total-time

sample4.0s (20.5%)

Results

3.7s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

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

Operation ival-add, time spent: 557.0ms, 22.0% of total-time

Operation ival-exp, time spent: 515.0ms, 21.0% of total-time

Operation ival-div, time spent: 395.0ms, 16.0% of total-time

Operation ival-sub, time spent: 328.0ms, 13.0% of total-time

Operation ival-log, time spent: 172.0ms, 7.0% of total-time

Operation ival-<=, time spent: 151.0ms, 6.0% of total-time

Operation ival-mult, time spent: 137.0ms, 6.0% of total-time

Operation ival-neg, time spent: 87.0ms, 3.0% of total-time

Operation const, time spent: 72.0ms, 3.0% of total-time

Operation ival-pi, time spent: 42.0ms, 2.0% of total-time

Operation ival-and, time spent: 34.0ms, 1.0% of total-time

Bogosity

preprocess6.6s (34%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-def`
545×	`div-sub`
517×	`fma-neg`
332×	`sub-neg`
241×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(7.429216131171756e-10 1.7606225560877533e-22)	`(PI.f32)`
0	-	0	-	`(+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))`
0	-	0	-	`(*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))`
0	-	0	-	`(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))`
0	-	0	-	`(-.f32 (/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)`
0	-	0	-	`(neg.f32 s)`
0	-	0	-	`(/.f32 (PI.f32) s)`
0	-	0	-	`(+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))`
0	-	0	-	`(exp.f32 (/.f32 (PI.f32) s))`
0	-	0	-	`(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))`
0	-	0	-	`u`
0	-	0	-	`(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))`
0	-	0	-	`(neg.f32 (PI.f32))`
0	-	0	-	`(/.f32 (neg.f32 (PI.f32)) s)`
0	-	0	-	`(log.f32 (-.f32 (/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1))`
0	-	0	-	`(+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))`
0	-	0	-	`(exp.f32 (/.f32 (neg.f32 (PI.f32)) s))`
0	-	0	-	`s`
0	-	0	-	`(/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))`
0	-	0	-	`(-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))`
0	-	0	-	`1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	67	948
1	137	944
2	289	924
3	868	800
4	1953	744
5	3652	734
6	5774	734
7	6894	734

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 (neg.f32 u) (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
(.f32 (neg.f32 (neg.f32 s)) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) (neg.f32 s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) 1)))
(neg.f32 (.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 (neg.f32 u) (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1))))
(neg.f32 (.f32 (neg.f32 (neg.f32 s)) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) (neg.f32 s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) 1))))
(.f32 (neg.f32 u) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 s (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) u)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) 1)))

Outputs
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (.f32 (+.f32 (neg.f32 u) 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (fma.f32 u -1 1) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (.f32 (+.f32 (neg.f32 u) 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (fma.f32 u -1 1) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 (neg.f32 u) (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 (neg.f32 u) (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (neg.f32 u) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 u (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (.f32 (+.f32 u 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (-.f32 (/.f32 (+.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 -1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 -1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
(.f32 (neg.f32 (neg.f32 s)) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) (neg.f32 s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) 1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) (neg.f32 s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (.f32 1 (/.f32 (PI.f32) s))))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (.f32 (+.f32 (neg.f32 u) 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (fma.f32 u -1 1) (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(neg.f32 (.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 (neg.f32 u) (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1))))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 (neg.f32 u) (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (neg.f32 u) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(.f32 s (log.f32 (+.f32 (/.f32 1 (fma.f32 u (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (.f32 (+.f32 u 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 1 (-.f32 (/.f32 (+.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1)))
(*.f32 s (log.f32 (+.f32 (/.f32 -1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 -1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
(neg.f32 (.f32 (neg.f32 (neg.f32 s)) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) (neg.f32 s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) 1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (fma.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) (neg.f32 s))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1))))
(.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (.f32 1 (/.f32 (PI.f32) s))))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (fma.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1))))
(.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (.f32 (+.f32 (neg.f32 u) 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (fma.f32 u -1 1) (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1))))
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) -1))))
(.f32 (neg.f32 u) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 s (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) u)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) 1)))
(*.f32 (neg.f32 u) (log.f32 (+.f32 (/.f32 1 (fma.f32 s (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) u)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) -1)))
(*.f32 u (neg.f32 (log.f32 (+.f32 (/.f32 1 (fma.f32 s (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) u)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) -1))))
(.f32 (neg.f32 u) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) u)))) (.f32 (+.f32 (neg.f32 s) 1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) u))))))) -1)))
(*.f32 (neg.f32 u) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 s (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 u))))) (/.f32 (fma.f32 s -1 1) (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) -1)))
(*.f32 u (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 s (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 u))))) (/.f32 (-.f32 1 s) (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))))) -1))))

Compiler

Compiled 557 to 298 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.9s

Operation ival-add, time spent: 1.7s, 34.0% of total-time

Operation ival-div, time spent: 1.3s, 26.0% of total-time

Operation ival-exp, time spent: 651.0ms, 13.0% of total-time

Operation ival-sub, time spent: 583.0ms, 12.0% of total-time

Operation ival-log, time spent: 312.0ms, 6.0% of total-time

Operation ival-mult, time spent: 221.0ms, 4.0% of total-time

Operation const, time spent: 132.0ms, 3.0% of total-time

Operation ival-neg, time spent: 43.0ms, 1.0% of total-time

Operation ival-pi, time spent: 18.0ms, 0.0% of total-time

eval3.0ms (0%)

Compiler: Compiled 198 to 124 computations (37.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Compiler

Compiled 30 to 24 computations (20% saved)

localize2.9s (15%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	6.3%	(PI.f32)

Compiler

Compiled 206 to 103 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.2s

Operation ival-add, time spent: 759.0ms, 34.0% of total-time

Operation ival-div, time spent: 470.0ms, 21.0% of total-time

Operation ival-exp, time spent: 339.0ms, 15.0% of total-time

Operation ival-log, time spent: 303.0ms, 14.0% of total-time

Operation ival-sub, time spent: 247.0ms, 11.0% of total-time

Operation const, time spent: 49.0ms, 2.0% of total-time

Operation ival-neg, time spent: 27.0ms, 1.0% of total-time

Operation ival-mult, time spent: 15.0ms, 1.0% of total-time

Operation ival-pi, time spent: 10.0ms, 0.0% of total-time

series0.0ms (0%)

Counts: 1 → 0

rewrite192.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
647×	`prod-diff`
461×	`log-prod`
282×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	24	3
2	234	3
3	2380	3

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(PI.f32)

Outputs
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

827×	`log-prod`
506×	`associate-+l+`
489×	`associate-+r+`
257×	`unswap-sqr`
223×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	801
1	359	761
2	1415	745
3	6903	745

Stop Event

1×	node limit

Counts

63 → 85

Calls

Call 1

Inputs
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)

Outputs
(+.f32 (PI.f32) 0)
(PI.f32)
(+.f32 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(+.f32 0 (PI.f32))
(PI.f32)
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(PI.f32)
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(PI.f32)
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) 1)
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (PI.f32)) (+.f32 -1 (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 1 (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(.f32 2 (.f32 1/2 (PI.f32)))
(PI.f32)
(.f32 1/3 (.f32 3 (PI.f32)))
(PI.f32)
(.f32 3 (.f32 1/3 (PI.f32)))
(PI.f32)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(PI.f32)
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(PI.f32)
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)))
(*.f32 (pow.f32 (PI.f32) 1/6) (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5/2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 5/2))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(PI.f32)
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) -1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (+.f32 1 (*.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (PI.f32) 2))
(/.f32 (*.f32 (+.f32 (PI.f32) 2) (PI.f32)) (+.f32 (PI.f32) 2))
(/.f32 (+.f32 (PI.f32) 2) (/.f32 (+.f32 (PI.f32) 2) (PI.f32)))
(pow.f32 (PI.f32) 1)
(PI.f32)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(PI.f32)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(PI.f32)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(PI.f32)
(fabs.f32 (PI.f32))
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (pow.f32 (PI.f32) 3))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(PI.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)

eval106.0ms (0.5%)

Compiler: Compiled 6074 to 3980 computations (34.5% saved)

prune33.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	169	2	171

Accuracy

99.0%

Counts

171 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1))))
✓	98.9%	(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Status

Accuracy

Program

▶

98.9%

(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1))))

✓

98.9%

(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Compiler

Compiled 64 to 52 computations (18.8% saved)

localize4.9s (25.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
	6.3%	(PI.f32)

Compiler

Compiled 254 to 166 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.1s

Operation ival-add, time spent: 1.1s, 27.0% of total-time

Operation ival-exp, time spent: 986.0ms, 24.0% of total-time

Operation ival-sub, time spent: 920.0ms, 22.0% of total-time

Operation ival-div, time spent: 678.0ms, 16.0% of total-time

Operation ival-log, time spent: 302.0ms, 7.0% of total-time

Operation const, time spent: 78.0ms, 2.0% of total-time

Operation ival-neg, time spent: 27.0ms, 1.0% of total-time

Operation ival-mult, time spent: 15.0ms, 0.0% of total-time

Operation ival-pi, time spent: 12.0ms, 0.0% of total-time

eval119.0ms (0.6%)

Compiler: Compiled 6754 to 4830 computations (28.5% saved)

prune36.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	170	2	172

Accuracy

99.0%

Counts

172 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1))))
✓	98.9%	(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Status

Accuracy

Program

✓

98.9%

(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1))))

✓

98.9%

(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Compiler

Compiled 163 to 122 computations (25.2% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-4.8%)

Threshold costs -0b (-4.8%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1))))

(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))

Outputs
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Calls

3 calls:

5.0ms

(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))

3.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`u`
98.9%	1	`s`
98.9%	1	`(.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 1 (+.f32 (.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) 1)))`

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative`
6×	`*-commutative`
5×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
1	45	106
2	57	106
3	64	106
4	66	106

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Outputs
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))

Compiler

Compiled 30 to 24 computations (20% saved)

soundness255.0ms (1.3%)

Rules

622×	`fma-def`
545×	`div-sub`
517×	`fma-neg`
332×	`sub-neg`
241×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	67	948
1	137	944
2	289	924
3	868	800
4	1953	744
5	3652	734
6	5774	734
7	6894	734

Stop Event

1×	node limit

end0.0ms (0%)

preprocess40.0ms (0.2%)

Compiler: Compiled 138 to 108 computations (21.7% saved)

analyze133.0ms (0.7%)

sample4.0s (20.5%)

preprocess6.6s (34%)

eval3.0ms (0%)

prune2.0ms (0%)

localize2.9s (15%)

series0.0ms (0%)

rewrite192.0ms (1%)

simplify75.0ms (0.4%)

eval106.0ms (0.5%)

prune33.0ms (0.2%)

localize4.9s (25.3%)

eval119.0ms (0.6%)

prune36.0ms (0.2%)

regimes12.0ms (0.1%)

simplify4.0ms (0%)

soundness255.0ms (1.3%)

end0.0ms (0%)

preprocess40.0ms (0.2%)

Profiling