Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
100%	25%	0%	0.1%	0%	74.9%	0%	3

Compiler

Compiled 8 to 8 computations (0% saved)

sample935.0ms (45.4%)

Memory

47.5MiB live, 989.8MiB allocated; 187ms collecting garbage

Samples

667.0ms	8 253×	0	valid
1.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-log: 222.0ms (49.6% of total)

ival-exp: 128.0ms (28.6% of total)

ival-add: 87.0ms (19.4% of total)

ival-true: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain119.0ms (5.8%)

Memory

-16.3MiB live, 119.4MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
154	22	(2.4627996489501935e-75 5.336168492274281e-243)	15	(8.044701766161542e-195 2.893881916719238e+228)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
7	0	-	3	(1.794433601630522e-283 9.193745730969866e+276)	`(+.f64 (log.f64 a) (log.f64 b))`
0	0	-	0	-	`a`
0	0	-	0	-	`b`
0	0	-	0	-	`(log.f64 a)`
0	0	-	0	-	`(log.f64 b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`	sensitivity	161	24
`+.f64`	`(+.f64 (log.f64 a) (log.f64 b))`	cancellation	4	2

Confusion

	Predicted +	Predicted -
+	151	30
-	14	61

Precision

0.9151515151515152

Recall

0.8342541436464088

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	151	24	6
-	14	2	59

Precision?

0.9162303664921466

Recall?

0.9668508287292817

Freqs

test

number	freq
0	91
1	165

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 10.0ms (55% of total)

ival-exp: 5.0ms (27.5% of total)

ival-add: 2.0ms (11% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess192.0ms (9.3%)

Memory

9.4MiB live, 155.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	35	23
2	91	17
3	296	17
4	1339	17
0	6	6
0	10	6
1	17	3
2	36	3
3	88	3
4	365	3
5	3211	3
0	8226	3

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)

Symmetry

(negabs b)

(negabs a)

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.0%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

series176.0ms (8.6%)

Memory

-6.7MiB live, 184.4MiB allocated; 22ms collecting garbage

Counts

6 → 18

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
a
(log.f64 b)
b

Outputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
a
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(log b)
b
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
40.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
37.0ms	a	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
26.0ms	b	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
17.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)

simplify142.0ms (6.9%)

Memory

-1.4MiB live, 95.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	93
1	96	74
2	272	74
3	725	74
4	2565	74
0	9720	74

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 16

Calls

Call 1

Inputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
a
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(log b)
b
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))

Outputs
(exp (+ (log a) (log b)))
(*.f64 b a)
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(log a)
(log.f64 a)
a
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 a)))
(log.f64 a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log -1) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(log b)
(log.f64 b)
b
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 b)))
(log.f64 b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))

rewrite234.0ms (11.4%)

Memory

9.2MiB live, 203.8MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	15
1	32	13
2	187	13
3	1839	13
0	8948	13

Stop Event

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

Counts

6 → 273

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
a
(log.f64 b)
b

Outputs
(*.f64 (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 b a)) (log.f64 b))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64))))) (fma.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (-.f64 (*.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (/.f64 (log.f64 (*.f64 b a)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))))) (fma.f64 (log.f64 b) (log.f64 (*.f64 b a)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))) (log.f64 (*.f64 b a)))
(pow.f64 (*.f64 b a) (/.f64 (log.f64 (/.f64 a b)) (log.f64 (/.f64 a b))))
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 b a)) (.f64 (.f64 b a) (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (sinh.f64 (log.f64 (/.f64 b a)))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) (sinh.f64 (log.f64 (/.f64 b a)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (sinh.f64 (log.f64 (/.f64 a b)))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) (sinh.f64 (log.f64 (/.f64 a b)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) (*.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (neg.f64 (-.f64 (.f64 b a) (.f64 b a))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (.f64 b a) (.f64 b a)))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 3 binary64))) (sinh.f64 (log.f64 (/.f64 b a)))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (sinh.f64 (log.f64 (/.f64 b a)))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 3 binary64))) (sinh.f64 (log.f64 (/.f64 a b)))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (sinh.f64 (log.f64 (/.f64 a b)))))
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(exp.f64 (*.f64 (log.f64 (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 a)))
(+.f64 (cosh.f64 (log.f64 (log.f64 a))) (sinh.f64 (log.f64 (log.f64 a))))
(log.f64 a)
(/.f64 (fma.f64 (-.f64 a (pow.f64 a #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a (pow.f64 a #s(literal -1 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 a (pow.f64 a #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 a (pow.f64 a #s(literal -1 binary64))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 a)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a))))))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64)))
(exp.f64 (log.f64 a))
(+.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 a)))
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
a
(*.f64 (sqrt.f64 (neg.f64 (log.f64 b))) (sqrt.f64 (neg.f64 (log.f64 b))))
(*.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)))
(pow.f64 (neg.f64 (log.f64 b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 b) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 b)))
(fabs.f64 (neg.f64 (log.f64 b)))
(fabs.f64 (log.f64 b))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 b)))
(+.f64 (cosh.f64 (log.f64 (log.f64 b))) (sinh.f64 (log.f64 (log.f64 b))))
(log.f64 b)
(/.f64 (fma.f64 (-.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b (pow.f64 b #s(literal -1 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b (pow.f64 b #s(literal -1 binary64))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b))))))
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))
(exp.f64 (log.f64 b))
(+.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 b)))
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
b

eval66.0ms (3.2%)

Memory: -13.6MiB live, 74.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 10 638 to 1 008 computations (90.5% saved)

prune3.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	1	282

Accuracy

100.0%

Counts

282 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 b a)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 b a)
b
a

Outputs
(* a b)
a
b

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((* b a) b a)
1.0ms	a	@	-inf	((* b a) b a)
0.0ms	a	@	inf	((* b a) b a)
0.0ms	b	@	inf	((* b a) b a)
0.0ms	a	@	0	((* b a) b a)

simplify3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 1

Calls

Call 1

Inputs
(* a b)
a
b

Outputs
(* a b)
(*.f64 a b)
a
b

rewrite9.0ms (0.4%)

Memory

-20.1MiB live, 23.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

Inputs
(*.f64 b a)
b
a

Outputs
(*.f64 a b)
(*.f64 b a)
b
a

eval1.0ms (0%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 19 to 6 computations (68.4% saved)

prune1.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	5	0	5
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	1	6

Accuracy

100.0%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 b a)

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes28.0ms (1.4%)

Memory

-32.5MiB live, 28.9MiB allocated; 4ms collecting garbage

Accuracy

Total -5.1b remaining (-∞%)

Threshold costs -5.1b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(*.f64 b a)

Calls

6 calls:

22.0ms	(+.f64 (log.f64 a) (log.f64 b))
1.0ms	(log.f64 a)
1.0ms	b
1.0ms	a
1.0ms	(log.f64 b)

Results

Accuracy	Segments	Branch
100.0%	1	`(log.f64 b)`
100.0%	1	`(log.f64 a)`
100.0%	1	`(+.f64 (log.f64 a) (log.f64 b))`
100.0%	1	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify9.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

derivations90.0ms (4.4%)

Memory

-6.3MiB live, 40.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	15
1	32	13
2	187	13
3	1839	13
0	8948	13

Stop Event

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

Compiler

Compiled 3 to 3 computations (0% saved)

preprocess47.0ms (2.3%)

Memory

2.5MiB live, 46.4MiB allocated; 6ms collecting garbage

Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 42 to 42 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample935.0ms (45.4%)

explain119.0ms (5.8%)

preprocess192.0ms (9.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series176.0ms (8.6%)

simplify142.0ms (6.9%)

rewrite234.0ms (11.4%)

eval66.0ms (3.2%)

prune3.0ms (0.2%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite9.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

regimes28.0ms (1.4%)

simplify9.0ms (0.4%)

derivations90.0ms (4.4%)

preprocess47.0ms (2.3%)

end0.0ms (0%)

Profiling