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

analyze135.0ms (0.6%)

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: 66.0ms

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

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

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

Operation ival-add, time spent: 8.0ms, 12.0% 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 ival-neg, 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 (17.3%)

Results

3.6s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

Operation ival-add, time spent: 629.0ms, 26.0% of total-time

Operation ival-div, time spent: 442.0ms, 19.0% of total-time

Operation ival-sub, time spent: 276.0ms, 12.0% of total-time

Operation ival-exp, time spent: 248.0ms, 10.0% of total-time

Operation ival-log, time spent: 192.0ms, 8.0% of total-time

Operation ival-mult, time spent: 158.0ms, 7.0% of total-time

Operation ival-<=, time spent: 157.0ms, 7.0% of total-time

Operation ival-neg, time spent: 99.0ms, 4.0% of total-time

Operation const, time spent: 96.0ms, 4.0% of total-time

Operation ival-pi, time spent: 46.0ms, 2.0% of total-time

Operation ival-and, time spent: 43.0ms, 2.0% of total-time

Bogosity

preprocess7.9s (34.1%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-neg`
598×	`fma-define`
368×	`associate-/r*`
235×	`associate-/l/`
231×	`div-sub`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(1.53677902403615e-7 5.9860550437303514e-18)	`(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	139	932
2	299	924
3	854	796
4	1819	744
5	3463	734
6	5665	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 (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 (neg.f32 s) (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 (neg.f32 s) (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 (neg.f32 s) (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 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 (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 (neg.f32 s) (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 (neg.f32 s) (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 (neg.f32 s) (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 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 (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 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (fma.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.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 (+.f32 (/.f32 u (-.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 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 (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 (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 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (-.f32 -1 (exp.f32 (/.f32 (PI.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 (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 (log.f32 (+.f32 (/.f32 1 (fma.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.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 (+.f32 (/.f32 u (-.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 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 (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 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 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) 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 (neg.f32 u) (log.f32 (+.f32 (/.f32 1 (fma.f32 s (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.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 (PI.f32) (neg.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 (PI.f32) (neg.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 (neg.f32 u) (log.f32 (+.f32 (/.f32 -1 (-.f32 (/.f32 (-.f32 1 s) (-.f32 -1 (exp.f32 (/.f32 (PI.f32) u)))) (/.f32 s (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 u))))))) -1)))
(*.f32 (neg.f32 u) (log.f32 (+.f32 (/.f32 1 (-.f32 (/.f32 (-.f32 1 s) (+.f32 1 (exp.f32 (/.f32 (PI.f32) u)))) (/.f32 s (-.f32 -1 (exp.f32 (/.f32 (PI.f32) (neg.f32 u))))))) -1)))

Compiler

Compiled 557 to 298 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.3s

Operation ival-add, time spent: 2.4s, 45.0% of total-time

Operation ival-div, time spent: 1.1s, 20.0% of total-time

Operation ival-sub, time spent: 708.0ms, 13.0% of total-time

Operation ival-exp, time spent: 468.0ms, 9.0% of total-time

Operation ival-mult, time spent: 232.0ms, 4.0% of total-time

Operation const, time spent: 180.0ms, 3.0% of total-time

Operation ival-log, time spent: 156.0ms, 3.0% of total-time

Operation ival-neg, time spent: 45.0ms, 1.0% of total-time

Operation ival-pi, time spent: 26.0ms, 0.0% of total-time

eval3.0ms (0%)

Compiler: Compiled 190 to 113 computations (40.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(*.f32 (neg.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)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize2.4s (10.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	6.3%	(PI.f32)

Compiler

Compiled 180 to 87 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-add, time spent: 715.0ms, 45.0% of total-time

Operation ival-div, time spent: 305.0ms, 19.0% of total-time

Operation ival-sub, time spent: 203.0ms, 13.0% of total-time

Operation ival-exp, time spent: 185.0ms, 12.0% of total-time

Operation ival-log, time spent: 72.0ms, 5.0% of total-time

Operation const, time spent: 54.0ms, 3.0% of total-time

Operation ival-mult, time spent: 17.0ms, 1.0% of total-time

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

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

series0.0ms (0%)

Counts: 1 → 0

rewrite199.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
647×	`prod-diff`
460×	`log-prod`
276×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	24	3
2	235	3
3	2422	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 (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 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (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)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.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)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

835×	`log-prod`
512×	`associate-+l+`
489×	`associate-+r+`
257×	`unswap-sqr`
231×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	801
1	368	761
2	1436	745
3	7030	745

Stop Event

1×	node limit

Counts

63 → 83

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 (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 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (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)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.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 (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 (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 (.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 (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) (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 (PI.f32) (+.f32 (PI.f32) 2)))
(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)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.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)

eval97.0ms (0.4%)

Compiler: Compiled 5920 to 3714 computations (37.3% saved)

prune33.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	3	167

Accuracy

99.1%

Counts

167 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(*.f32 (neg.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 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1)))
▶	99.0%	(.f32 (neg.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 (.f32 (log.f32 (E.f32)) (PI.f32)) s)))))) -1)))
✓	99.0%	(*.f32 (neg.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)))

Status

Accuracy

Program

▶

99.0%

(*.f32 (neg.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 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1)))

▶

99.0%

(*.f32 (neg.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 (*.f32 (log.f32 (E.f32)) (PI.f32)) s)))))) -1)))

✓

99.0%

(*.f32 (neg.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)))

Compiler

Compiled 97 to 76 computations (21.6% saved)

localize7.1s (30.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	6.3%	(PI.f32)
	6.3%	(PI.f32)
✓	6.3%	(E.f32)

Compiler

Compiled 435 to 227 computations (47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0s

Operation ival-add, time spent: 2.1s, 41.0% of total-time

Operation ival-sub, time spent: 759.0ms, 15.0% of total-time

Operation ival-div, time spent: 729.0ms, 15.0% of total-time

Operation ival-exp, time spent: 564.0ms, 11.0% of total-time

Operation ival-log, time spent: 419.0ms, 8.0% of total-time

Operation ival-e, time spent: 263.0ms, 5.0% of total-time

Operation const, time spent: 139.0ms, 3.0% of total-time

Operation ival-mult, time spent: 57.0ms, 1.0% of total-time

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

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

series0.0ms (0%)

Counts: 1 → 0

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log1p-expm1-u`
602×	`expm1-log1p-u`
438×	`prod-diff`
414×	`pow-unpow`
356×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	25	3
2	224	3
3	2107	3

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(E.f32)

Outputs
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 4/9) (cbrt.f32 (exp.f32 5/3)))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (sqrt.f32 (exp.f32 3/2)))))
(.f32 (.f32 1/3 (E.f32)) 3)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 (E.f32) 2) 1/2)
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 4) 1/4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(exp.f32 1)
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (E.f32) 1)) 2) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

694×	`distribute-lft-in`
669×	`distribute-rgt-in`
485×	`associate-+l+`
469×	`associate-+r+`
395×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	143	4294967752
1	301	472
2	1193	472

Stop Event

1×	node limit

Counts

58 → 69

Calls

Call 1

Inputs
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 4/9) (cbrt.f32 (exp.f32 5/3)))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (sqrt.f32 (exp.f32 3/2)))))
(.f32 (.f32 1/3 (E.f32)) 3)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 (E.f32) 2) 1/2)
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 4) 1/4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(exp.f32 1)
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (E.f32) 1)) 2) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)

Outputs
(+.f32 (E.f32) 0)
(E.f32)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(E.f32)
(+.f32 (+.f32 (E.f32) 1) -1)
(E.f32)
(+.f32 0 (E.f32))
(E.f32)
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(E.f32)
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(E.f32)
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(E.f32)
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(E.f32)
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(-.f32 (+.f32 (E.f32) 1) 1)
(E.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (E.f32)) (+.f32 (expm1.f32 (E.f32)) -1))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (E.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(E.f32)
(*.f32 1 (E.f32))
(E.f32)
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(E.f32)
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(E.f32)
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(E.f32)
(.f32 1/3 (.f32 3 (E.f32)))
(E.f32)
(.f32 2 (.f32 1/2 (E.f32)))
(E.f32)
(.f32 3 (.f32 1/3 (E.f32)))
(E.f32)
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(E.f32)
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(E.f32)
(*.f32 (exp.f32 4/9) (cbrt.f32 (exp.f32 5/3)))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(E.f32)
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(E.f32)
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (sqrt.f32 (exp.f32 3/2)))))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(.f32 (.f32 1/3 (E.f32)) 3)
(E.f32)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(E.f32)
(.f32 (.f32 (E.f32) 2) 1/2)
(E.f32)
(.f32 (.f32 3 (E.f32)) 1/3)
(E.f32)
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(E.f32)
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (/.f32 (E.f32) 2) 2)
(E.f32)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(E.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 3) -1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 2 (+.f32 (E.f32) (pow.f32 (+.f32 (E.f32) 1) 2))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) -1) (+.f32 (E.f32) 2))
(/.f32 (*.f32 (+.f32 (E.f32) 2) (E.f32)) (+.f32 (E.f32) 2))
(/.f32 (*.f32 (E.f32) (+.f32 (E.f32) 2)) (+.f32 (E.f32) 2))
(pow.f32 (E.f32) 1)
(E.f32)
(pow.f32 (exp.f32 1/3) 3)
(E.f32)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(sqrt.f32 (exp.f32 2))
(pow.f32 (exp.f32 3) 1/3)
(cbrt.f32 (exp.f32 3))
(pow.f32 (exp.f32 1/2) 2)
(E.f32)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(*.f32 (cbrt.f32 (exp.f32 3/2)) (cbrt.f32 (exp.f32 3/2)))
(pow.f32 (exp.f32 4) 1/4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(E.f32)
(log.f32 (exp.f32 (E.f32)))
(E.f32)
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(E.f32)
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(exp.f32 1)
(E.f32)
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(E.f32)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(E.f32)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (E.f32) 1)) 2) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(E.f32)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(E.f32)

eval507.0ms (2.2%)

Compiler: Compiled 28542 to 18176 computations (36.3% saved)

prune198.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	733	0	733
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	733	3	736

Accuracy

99.1%

Counts

736 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(*.f32 (neg.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 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1)))
✓	99.0%	(.f32 (neg.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 (.f32 (log.f32 (E.f32)) (PI.f32)) s)))))) -1)))
✓	99.0%	(*.f32 (neg.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)))

Status

Accuracy

Program

✓

99.0%

(*.f32 (neg.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 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1)))

✓

99.0%

(*.f32 (neg.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 (*.f32 (log.f32 (E.f32)) (PI.f32)) s)))))) -1)))

✓

99.0%

(*.f32 (neg.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)))

Compiler

Compiled 227 to 164 computations (27.8% saved)

regimes28.0ms (0.1%)

Accuracy

Total -0.0b remaining (-5.9%)

Threshold costs -0b (-5.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f32 (neg.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)))
(*.f32 (neg.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 (-.f32 (+.f32 (PI.f32) 1) 1) s)))))) -1)))
(.f32 (neg.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 (.f32 (log.f32 (E.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)))

Outputs
(*.f32 (neg.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)))

Calls

3 calls:

18.0ms

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)))

4.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`u`
99.0%	1	`s`
99.0%	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)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
8×	`*-commutative`
7×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
1	43	106
2	58	106
3	71	106
4	78	106
5	80	106

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f32 (neg.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)))

Outputs
(*.f32 (neg.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)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness233.0ms (1%)

Rules

633×	`fma-neg`
598×	`fma-define`
368×	`associate-/r*`
235×	`associate-/l/`
231×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	67	948
1	139	932
2	299	924
3	854	796
4	1819	744
5	3463	734
6	5665	734

Stop Event

1×	node limit

end0.0ms (0%)

preprocess42.0ms (0.2%)

Compiler: Compiled 138 to 106 computations (23.2% saved)

analyze135.0ms (0.6%)

sample4.0s (17.3%)

preprocess7.9s (34.1%)

eval3.0ms (0%)

prune2.0ms (0%)

localize2.4s (10.5%)

series0.0ms (0%)

rewrite199.0ms (0.9%)

simplify76.0ms (0.3%)

eval97.0ms (0.4%)

prune33.0ms (0.1%)

localize7.1s (30.9%)

series0.0ms (0%)

rewrite82.0ms (0.4%)

simplify44.0ms (0.2%)

eval507.0ms (2.2%)

prune198.0ms (0.9%)

regimes28.0ms (0.1%)

simplify5.0ms (0%)

soundness233.0ms (1%)

end0.0ms (0%)

preprocess42.0ms (0.2%)

Profiling