Metrics for ENA, Section 1.4, Exercise 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
87.5%	0%	0%	100%	0%	0%	0%	5
93.8%	0%	0%	100%	0%	0%	0%	6
96.9%	0%	0%	100%	0%	0%	0%	7
98.4%	0%	0%	100%	0%	0%	0%	8
99.2%	0%	0%	100%	0%	0%	0%	9
99.6%	0%	0%	100%	0%	0%	0%	10
99.8%	0%	0%	100%	0%	0%	0%	11
99.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.7s (13.7%)

Memory

-132.0MiB live, 1 434.3MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 484.0ms (41.4% of total)

const: 297.0ms (25.4% of total)

ival-mult: 160.0ms (13.7% of total)

ival-exp: 147.0ms (12.6% of total)

ival-<=: 60.0ms (5.1% of total)

ival-and: 11.0ms (0.9% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain112.0ms (0.9%)

Memory

-5.0MiB live, 152.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	71	(1.9982718017334054)	`(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))`
0	-	0	-	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(.f64 #s(literal 10 binary64) (.f64 x x))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 10 binary64)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	95
-	0	161

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	95	0
-	0	161	0

Precision?

0.37109375

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 94 to 32 computations (66% saved)

Precisions

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

ival-cos: 19.0ms (55.7% of total)

ival-mult: 9.0ms (26.4% of total)

ival-exp: 5.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess34.0ms (0.3%)

Memory

-6.9MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	31	19
2	82	19
3	203	19
4	349	19
5	417	19
6	460	19
7	480	19
8	486	19
9	491	19
10	493	19
0	7	9
0	12	9
1	18	9
2	25	9
3	30	9
0	30	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)) (cos.f64 x))

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 10 binary64) (.f64 x x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	12	27
1	18	27
2	25	27
3	30	27
0	30	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(cos.f64 x)
x
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))
(.f64 #s(literal 10 binary64) (.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)) (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
(.f64 #s(literal 10 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 x x)

localize34.0ms (0.3%)

Memory

-6.5MiB live, 32.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.19921875	(.f64 #s(literal 10 binary64) (.f64 x x))
accuracy	0.344413769536884	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
accuracy	3.279070515663571	(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))

Samples

28.0ms

256×

valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.7% of total)

ival-cos: 8.0ms (36.1% of total)

ival-exp: 3.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 15

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(cos.f64 x)
(.f64 #s(literal 10 binary64) (.f64 x x))
(*.f64 x x)
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))

Outputs
1
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 10 (pow x 2))
(pow x 2)
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(* (cos x) (exp (* 10 (pow x 2))))
(cos x)
(exp (* 10 (pow x 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (cos x) (exp (* 10 (* x x)))) (cos x) (* 10 (* x x)) (* x x) (exp (* 10 (* x x))))
1.0ms	x	@	0	((* (cos x) (exp (* 10 (* x x)))) (cos x) (* 10 (* x x)) (* x x) (exp (* 10 (* x x))))
1.0ms	x	@	-inf	((* (cos x) (exp (* 10 (* x x)))) (cos x) (* 10 (* x x)) (* x x) (exp (* 10 (* x x))))

Time

Variable

Point

Expression

1.0ms

inf

((* (cos x) (exp (* 10 (* x x)))) (cos x) (* 10 (* x x)) (* x x) (exp (* 10 (* x x))))

1.0ms

((* (cos x) (exp (* 10 (* x x)))) (cos x) (* 10 (* x x)) (* x x) (exp (* 10 (* x x))))

1.0ms

-inf

((* (cos x) (exp (* 10 (* x x)))) (cos x) (* 10 (* x x)) (* x x) (exp (* 10 (* x x))))

simplify214.0ms (1.7%)

Memory

4.1MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	143
1	131	143
2	336	143
3	718	143
4	1104	143
5	1266	143
6	1370	143
7	1591	143
8	2082	143
9	3361	143
10	4735	143
11	5453	143
12	5824	143
13	6066	143
14	6151	143
15	7235	143
0	8311	125

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
1
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 10 (pow x 2))
(pow x 2)
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(* (cos x) (exp (* 10 (pow x 2))))
(cos x)
(exp (* 10 (pow x 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 19/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 19/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1081/24 binary64) (.f64 x x) #s(literal 19/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 102299/720 binary64) (.f64 x x) #s(literal 1081/24 binary64)) (.f64 x x) #s(literal 19/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 10 (pow x 2))
(.f64 #s(literal 10 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ 1 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500/3 binary64) (.f64 x x) #s(literal 50 binary64)) (.f64 x x) #s(literal 10 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (cos x) (exp (* 10 (pow x 2))))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x))
(cos x)
(cos.f64 x)
(exp (* 10 (pow x 2)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)

rewrite119.0ms (0.9%)

Memory

3.3MiB live, 128.0MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	23
1	20	23
2	42	23
3	113	23
4	426	19
0	3399	19

Stop Event

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

Counts

5 → 908

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(cos.f64 x)
(.f64 #s(literal 10 binary64) (.f64 x x))
(*.f64 x x)
(exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x)))

Outputs
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (cos.f64 x)) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (exp.f64 x) x) (cos.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) x) (cos.f64 x))
(*.f64 (cos.f64 x) (pow.f64 (exp.f64 x) x))
(cos.f64 x)
(.f64 #s(literal -5 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 20 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 20 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 #s(literal 10 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))
(*.f64 (neg.f64 (neg.f64 x)) x)
(.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) x)
(.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 20 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 20 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 10 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 10 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 x #s(literal 1/4 binary64)) x)
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 x) x)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (.f64 x x) #s(literal -2 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (/.f64 x #s(literal -4 binary64)))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 x #s(literal -2 binary64)))
(.f64 (neg.f64 x) (.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 x) x)) #s(literal -1/4 binary64))
(.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1 binary64)) x)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 20 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 5 binary64) x) x)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal -4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (sqrt.f64 x) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)))
(.f64 (sqrt.f64 x) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) x)))
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(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (*.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x)
(pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64))) (.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x)))
(exp.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 x x))

eval81.0ms (0.6%)

Memory: -8.3MiB live, 154.5MiB allocated
Compiler: Compiled 6 721 to 1 708 computations (74.6% saved)

prune59.0ms (0.5%)

Memory

17.7MiB live, 56.7MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	497	24	521
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	497	25	522

Accuracy

99.0%

Counts

522 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
	93.3%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
	96.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
	96.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
▶	96.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
	95.4%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
	94.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
	94.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
▶	93.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
	98.1%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
	94.8%	(.f64 (cos.f64 x) (pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 #s(literal 5 binary64) x)))
	94.2%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 10 binary64))))
	94.0%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))))
	94.8%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
▶	95.3%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
	95.3%	(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
▶	98.1%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
✓	94.6%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	9.8%	(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
	96.7%	(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
	27.6%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
	21.3%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	18.2%	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
▶	1.5%	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Compiler

Compiled 665 to 485 computations (27.1% saved)

simplify247.0ms (1.9%)

Memory

-8.9MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64))))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal 5 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
cost-diff	320	(pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(exp.f64 #s(literal 10 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	320	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	19648	(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	194
0	53	170
1	78	170
2	113	146
3	132	146
4	239	146
5	913	144
6	2491	144
7	3851	144
8	5918	144
9	6967	144
10	7793	144
0	8164	144

Stop Event

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

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(cos.f64 x)
x
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(cos.f64 x)
x
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 x x)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal 5 binary64))
(exp.f64 x)
#s(literal 5 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(sqrt.f64 x)
(.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x) (cos.f64 x))
(cos.f64 x)
x
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x)
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 x x)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x)
(pow.f64 (exp.f64 x) #s(literal 5 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) x)
(exp.f64 x)
#s(literal 5 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) x)) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(sqrt.f64 x)
(.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize131.0ms (1%)

Memory

17.5MiB live, 90.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64)))
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
accuracy	1.9293879564954661	(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
accuracy	3.065122564459006	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64))))
accuracy	0	(cos.f64 x)
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
accuracy	0.8935091798114493	(pow.f64 (exp.f64 x) #s(literal 5 binary64))
accuracy	0.9607319337909421	(pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(exp.f64 #s(literal 10 binary64))
accuracy	0	(cos.f64 x)
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
accuracy	2.97491063368702	(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
accuracy	63.03774352076372	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
accuracy	0.2578125	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.344413769536884	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
accuracy	0.43359375	(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	0.9918937988422101	(pow.f64 (exp.f64 #s(literal 10 binary64)) x)

Samples

110.0ms

256×

valid

Compiler

Compiled 388 to 64 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 30.0ms (31.9% of total)

ival-exp: 26.0ms (27.7% of total)

ival-pow: 26.0ms (27.7% of total)

ival-cos: 8.0ms (8.5% of total)

ival-sqrt: 2.0ms (2.1% of total)

ival-div: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series111.0ms (0.9%)

Memory

1.5MiB live, 39.4MiB allocated

Counts

19 → 42

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x #s(literal 1 binary64))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(cos.f64 x)
(exp.f64 #s(literal 10 binary64))
(*.f64 x x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 x) #s(literal 5 binary64))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64)))

Outputs
1
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(* 1/2 x)
(+ 1 (* 5 (pow x 2)))
(+ 1 (* (pow x 2) (+ 5 (* 25/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 5 (* (pow x 2) (+ 25/2 (* 125/6 (pow x 2)))))))
x
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(+ 1 (* 5 x))
(+ 1 (* x (+ 5 (* 25/2 x))))
(+ 1 (* x (+ 5 (* x (+ 25/2 (* 125/6 x))))))
(+ 1 (* x (+ (* 10 x) (* x (- (* 50 (pow x 2)) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* x (- (+ (* 50 (pow x 2)) (* x (+ (* -5 x) (* 500/3 (pow x 3))))) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* 50 (pow x 3)))))
(+ 1 (* x (+ (* 10 x) (* x (+ (* 50 (pow x 2)) (* 500/3 (pow x 4)))))))
(+ 1 (* 10 x))
(+ 1 (* x (+ 10 (* 50 x))))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(exp (* 10 (sqrt x)))
(sqrt (pow x 3))
(pow (exp (* 5 (pow x 2))) 2)
(exp (* 5 (pow x 2)))
(* (cos x) (exp (* 10 (pow x 2))))
(cos x)
(exp (* 2 (* x (log (pow (exp x) 5)))))
(* (cos x) (exp (* 2 (* x (log (pow (exp x) 5))))))
(pow (exp x) 5)
(exp (* 10 (pow x 2)))
(exp (* 10 x))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(* (cos x) (exp (* -10 (* (pow x 2) (pow (sqrt -1) 2)))))
(exp (* -10 (* (pow x 2) (pow (sqrt -1) 2))))
(exp (* 10 (* (sqrt x) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
102.0ms	x	@	0	((* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (/ (* x 1) 2) (pow (pow (exp 10) x) (/ (* x 1) 2)) (* x 1) (* (cos x) (exp (* 10 (* x x)))) (* (cos x) (pow (exp 10) (* x x))) (cos x) (exp 10) (* x x) (pow (pow (exp x) 5) (* 2 x)) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) x) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (pow (exp 10) (* x x)) (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))
4.0ms	x	@	-inf	((* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (/ (* x 1) 2) (pow (pow (exp 10) x) (/ (* x 1) 2)) (* x 1) (* (cos x) (exp (* 10 (* x x)))) (* (cos x) (pow (exp 10) (* x x))) (cos x) (exp 10) (* x x) (pow (pow (exp x) 5) (* 2 x)) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) x) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (pow (exp 10) (* x x)) (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))
4.0ms	x	@	inf	((* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (/ (* x 1) 2) (pow (pow (exp 10) x) (/ (* x 1) 2)) (* x 1) (* (cos x) (exp (* 10 (* x x)))) (* (cos x) (pow (exp 10) (* x x))) (cos x) (exp 10) (* x x) (pow (pow (exp x) 5) (* 2 x)) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) x) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (pow (exp 10) (* x x)) (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))

Time

Variable

Point

Expression

102.0ms

((* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (/ (* x 1) 2) (pow (pow (exp 10) x) (/ (* x 1) 2)) (* x 1) (* (cos x) (exp (* 10 (* x x)))) (* (cos x) (pow (exp 10) (* x x))) (cos x) (exp 10) (* x x) (pow (pow (exp x) 5) (* 2 x)) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) x) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (pow (exp 10) (* x x)) (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))

4.0ms

-inf

((* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (/ (* x 1) 2) (pow (pow (exp 10) x) (/ (* x 1) 2)) (* x 1) (* (cos x) (exp (* 10 (* x x)))) (* (cos x) (pow (exp 10) (* x x))) (cos x) (exp 10) (* x x) (pow (pow (exp x) 5) (* 2 x)) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) x) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (pow (exp 10) (* x x)) (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))

4.0ms

inf

((* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (/ (* x 1) 2) (pow (pow (exp 10) x) (/ (* x 1) 2)) (* x 1) (* (cos x) (exp (* 10 (* x x)))) (* (cos x) (pow (exp 10) (* x x))) (cos x) (exp 10) (* x x) (pow (pow (exp x) 5) (* 2 x)) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) x) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (pow (exp 10) (* x x)) (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))

simplify363.0ms (2.8%)

Memory

-4.7MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	403
1	401	394
2	994	376
3	1937	376
4	3372	376
5	4782	376
6	7269	376
0	8224	330

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

Inputs
1
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(* 1/2 x)
(+ 1 (* 5 (pow x 2)))
(+ 1 (* (pow x 2) (+ 5 (* 25/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 5 (* (pow x 2) (+ 25/2 (* 125/6 (pow x 2)))))))
x
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(+ 1 (* 5 x))
(+ 1 (* x (+ 5 (* 25/2 x))))
(+ 1 (* x (+ 5 (* x (+ 25/2 (* 125/6 x))))))
(+ 1 (* x (+ (* 10 x) (* x (- (* 50 (pow x 2)) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* x (- (+ (* 50 (pow x 2)) (* x (+ (* -5 x) (* 500/3 (pow x 3))))) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* 50 (pow x 3)))))
(+ 1 (* x (+ (* 10 x) (* x (+ (* 50 (pow x 2)) (* 500/3 (pow x 4)))))))
(+ 1 (* 10 x))
(+ 1 (* x (+ 10 (* 50 x))))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(exp (* 10 (sqrt x)))
(sqrt (pow x 3))
(pow (exp (* 5 (pow x 2))) 2)
(exp (* 5 (pow x 2)))
(* (cos x) (exp (* 10 (pow x 2))))
(cos x)
(exp (* 2 (* x (log (pow (exp x) 5)))))
(* (cos x) (exp (* 2 (* x (log (pow (exp x) 5))))))
(pow (exp x) 5)
(exp (* 10 (pow x 2)))
(exp (* 10 x))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(* (cos x) (exp (* -10 (* (pow x 2) (pow (sqrt -1) 2)))))
(exp (* -10 (* (pow x 2) (pow (sqrt -1) 2))))
(exp (* 10 (* (sqrt x) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 500/3 binary64) (fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ 1 (* 5 (pow x 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 5 (* 25/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 25/2 binary64) (.f64 x x) #s(literal 5 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 5 (* (pow x 2) (+ 25/2 (* 125/6 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 125/6 binary64) (.f64 x x) #s(literal 25/2 binary64)) (.f64 x x) #s(literal 5 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(+ 1 (* 19/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 19/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1081/24 binary64) (.f64 x x) #s(literal 19/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 102299/720 binary64) (.f64 x x) #s(literal 1081/24 binary64)) (.f64 x x) #s(literal 19/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ 1 (* 5 x))
(fma.f64 #s(literal 5 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 5 (* 25/2 x))))
(fma.f64 (fma.f64 #s(literal 25/2 binary64) x #s(literal 5 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 5 (* x (+ 25/2 (* 125/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 125/6 binary64) x #s(literal 25/2 binary64)) x #s(literal 5 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 10 x) (* x (- (* 50 (pow x 2)) 1/2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 50 binary64) (fma.f64 (*.f64 #s(literal 19/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* x (+ (* 10 x) (* x (- (+ (* 50 (pow x 2)) (* x (+ (* -5 x) (* 500/3 (pow x 3))))) 1/2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 500/3 binary64) x) x #s(literal 45 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 19/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* x (+ (* 10 x) (* 50 (pow x 3)))))
(fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 10 x) (* x (+ (* 50 (pow x 2)) (* 500/3 (pow x 4)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 500/3 binary64) (fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64)))
(+ 1 (* 10 x))
(fma.f64 #s(literal 10 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 10 (* 50 x))))
(fma.f64 (fma.f64 #s(literal 50 binary64) x #s(literal 10 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500/3 binary64) x #s(literal 50 binary64)) x #s(literal 10 binary64)) x #s(literal 1 binary64))
(exp (* 10 (sqrt x)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow (exp (* 5 (pow x 2))) 2)
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(exp (* 5 (pow x 2)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
(* (cos x) (exp (* 10 (pow x 2))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(cos x)
(cos.f64 x)
(exp (* 2 (* x (log (pow (exp x) 5)))))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(* (cos x) (exp (* 2 (* x (log (pow (exp x) 5))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(pow (exp x) 5)
(pow.f64 (exp.f64 x) #s(literal 5 binary64))
(exp (* 10 (pow x 2)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(exp (* 10 x))
(pow.f64 (exp.f64 x) #s(literal 10 binary64))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(* (cos x) (exp (* -10 (* (pow x 2) (pow (sqrt -1) 2)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(exp (* -10 (* (pow x 2) (pow (sqrt -1) 2))))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(exp (* 10 (* (sqrt x) (pow (sqrt -1) 2))))
(pow.f64 (exp.f64 #s(literal -10 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))

rewrite58.0ms (0.5%)

Memory

-2.1MiB live, 51.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	161
0	53	87
1	152	87
2	661	38
0	8524	38

Stop Event

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

Counts

19 → 38

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x #s(literal 1 binary64))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(cos.f64 x)
(exp.f64 #s(literal 10 binary64))
(*.f64 x x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 x) #s(literal 5 binary64))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 x #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
x
#s(literal 0 binary64)
#s(literal 1 binary64)
x
#s(literal 0 binary64)
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 x)
(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(exp.f64 #s(literal 10 binary64))
x
#s(literal 0 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
#s(literal 1 binary64)
x
#s(literal 0 binary64)

eval20.0ms (0.2%)

Memory: -16.3MiB live, 21.0MiB allocated
Compiler: Compiled 2 130 to 289 computations (86.4% saved)

prune39.0ms (0.3%)

Memory

12.8MiB live, 52.3MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	1	18	19
Picked	1	4	5
Done	0	1	1
Total	84	31	115

Accuracy

99.5%

Counts

115 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
	93.3%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
	96.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
	96.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
✓	96.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
▶	95.4%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
	94.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
	94.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
✓	93.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
▶	94.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
	98.1%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
	95.4%	(.f64 (cos.f64 x) (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
	94.8%	(.f64 (cos.f64 x) (pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 #s(literal 5 binary64) x)))
	94.2%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 10 binary64))))
	94.0%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))))
▶	94.8%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
✓	95.3%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
	95.3%	(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
▶	98.9%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
	98.1%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) #s(approx (/ ( x 1) 2) (*.f64 #s(literal 1/2 binary64) x)))))
	97.7%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(approx (pow (exp 10) x) (pow.f64 (exp.f64 x) #s(literal 10 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
	97.7%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
✓	94.6%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	9.8%	(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
▶	9.6%	(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
	96.7%	(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
	27.6%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
	21.3%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	18.2%	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
✓	1.5%	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Compiler

Compiled 963 to 677 computations (29.7% saved)

simplify174.0ms (1.4%)

Memory

6.2MiB live, 166.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
cost-diff	0	(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x))
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
cost-diff	0	#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
cost-diff	384	(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))
cost-diff	8000	(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
cost-diff	20288	(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	318
0	76	250
1	109	224
2	156	208
3	179	208
4	366	208
5	1285	208
6	3222	208
7	4587	208
8	6114	208
0	8352	208

Stop Event

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

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(cos.f64 x)
x
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(cos.f64 x)
x
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(cos.f64 x)
x
(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
(exp.f64 x)
(*.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x))
(exp.f64 #s(literal 20 binary64))
#s(literal 20 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal -1/2 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(sqrt.f64 x)
#s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x) (cos.f64 x))
(cos.f64 x)
x
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x)
(pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x)
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(exp.f64 #s(literal 10 binary64))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 #s(literal 10 binary64)))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)) (cos.f64 x))
(cos.f64 x)
x
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
(exp.f64 x)
(*.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x))
(exp.f64 #s(literal 20 binary64))
#s(literal 20 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal -1/2 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(sqrt.f64 x)
#s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize184.0ms (1.4%)

Memory

-8.8MiB live, 314.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
accuracy	1.9293879564954661	(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
accuracy	3.065122564459006	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
accuracy	0	(cos.f64 x)
accuracy	0.1328125	(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
accuracy	3.8992887600723596	(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x))
accuracy	0	(exp.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
accuracy	3.3039819921298013	(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
accuracy	0	(cos.f64 x)
accuracy	0.344413769536884	(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
accuracy	57.84652383753375	#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
accuracy	0.43359375	(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	0.9918937988422101	(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x)
accuracy	0.9918937988422101	(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
accuracy	1.0	(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))

Samples

121.0ms

256×

valid

Compiler

Compiled 619 to 91 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-pow: 42.0ms (43.1% of total)

ival-mult: 31.0ms (31.8% of total)

ival-exp: 8.0ms (8.2% of total)

ival-cos: 8.0ms (8.2% of total)

ival-sqrt: 5.0ms (5.1% of total)

ival-div: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series24.0ms (0.2%)

Memory

11.7MiB live, 48.5MiB allocated

Counts

19 → 40

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(cos.f64 x)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
(exp.f64 x)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x)
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))

Outputs
1
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(* 1/2 x)
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -20 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 200 (pow x 2)) 20)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 200 (* -4000/3 (pow x 2)))) 20)))
(+ 1 (* x (+ (* 10 x) (* x (- (* 50 (pow x 2)) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* x (- (+ (* 50 (pow x 2)) (* x (+ (* -5 x) (* 500/3 (pow x 3))))) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* 50 (pow x 3)))))
(+ 1 (* x (+ (* 10 x) (* x (+ (* 50 (pow x 2)) (* 500/3 (pow x 4)))))))
(exp (* 10 (sqrt x)))
(+ 1 (* 10 x))
(+ 1 (* x (+ 10 (* 50 x))))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(sqrt (pow x 3))
(pow (exp (* 5 (pow x 2))) 2)
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(cos x)
(* (cos x) (exp (* 10 (pow x 2))))
(exp (* 10 (pow x 2)))
(exp x)
(* (cos x) (sqrt (/ 1 (exp (* -20 (pow x 2))))))
(sqrt (/ 1 (exp (* -20 (pow x 2)))))
(exp (* -20 (pow x 2)))
(exp (* 10 x))
(* (cos x) (exp (* -10 (* (pow x 2) (pow (sqrt -1) 2)))))
(exp (* -10 (* (pow x 2) (pow (sqrt -1) 2))))
(exp (* 10 (* (sqrt x) (pow (sqrt -1) 2))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

((* (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) (pow (exp 10) 1/2) (/ (* x 1) 2) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (* (cos x) (pow (exp x) (* 10 x))) (pow (exp x) (* 10 x)) (exp x) (* (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2)) (pow (pow (exp 20) (* (neg x) x)) -1/2) (pow (exp 20) (* (neg x) x)) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) (sqrt x)) (pow (exp 10) x) (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (sqrt (pow x 3)))

3.0ms

inf

((* (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) (pow (exp 10) 1/2) (/ (* x 1) 2) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (* (cos x) (pow (exp x) (* 10 x))) (pow (exp x) (* 10 x)) (exp x) (* (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2)) (pow (pow (exp 20) (* (neg x) x)) -1/2) (pow (exp 20) (* (neg x) x)) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) (sqrt x)) (pow (exp 10) x) (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (sqrt (pow x 3)))

3.0ms

-inf

((* (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) (pow (exp 10) 1/2) (/ (* x 1) 2) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (* (cos x) (pow (exp x) (* 10 x))) (pow (exp x) (* 10 x)) (exp x) (* (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2)) (pow (pow (exp 20) (* (neg x) x)) -1/2) (pow (exp 20) (* (neg x) x)) (* (cos x) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1)))) (pow (pow (exp 10) (sqrt x)) (* (sqrt x) (* x 1))) (pow (exp 10) (sqrt x)) (pow (exp 10) x) (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (sqrt (pow x 3)))

simplify223.0ms (1.8%)

Memory

12.2MiB live, 125.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	408
1	384	394
2	948	371
3	2341	371
4	4099	371
5	4693	371
6	6336	371
0	8198	326

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
1
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(* 1/2 x)
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -20 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 200 (pow x 2)) 20)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 200 (* -4000/3 (pow x 2)))) 20)))
(+ 1 (* x (+ (* 10 x) (* x (- (* 50 (pow x 2)) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* x (- (+ (* 50 (pow x 2)) (* x (+ (* -5 x) (* 500/3 (pow x 3))))) 1/2)))))
(+ 1 (* x (+ (* 10 x) (* 50 (pow x 3)))))
(+ 1 (* x (+ (* 10 x) (* x (+ (* 50 (pow x 2)) (* 500/3 (pow x 4)))))))
(exp (* 10 (sqrt x)))
(+ 1 (* 10 x))
(+ 1 (* x (+ 10 (* 50 x))))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(sqrt (pow x 3))
(pow (exp (* 5 (pow x 2))) 2)
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(cos x)
(* (cos x) (exp (* 10 (pow x 2))))
(exp (* 10 (pow x 2)))
(exp x)
(* (cos x) (sqrt (/ 1 (exp (* -20 (pow x 2))))))
(sqrt (/ 1 (exp (* -20 (pow x 2)))))
(exp (* -20 (pow x 2)))
(exp (* 10 x))
(* (cos x) (exp (* -10 (* (pow x 2) (pow (sqrt -1) 2)))))
(exp (* -10 (* (pow x 2) (pow (sqrt -1) 2))))
(exp (* 10 (* (sqrt x) (pow (sqrt -1) 2))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 500/3 binary64) (fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ 1 (* 19/2 (pow x 2)))
(fma.f64 #s(literal 19/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1081/24 binary64) (.f64 x x) #s(literal 19/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 102299/720 binary64) (.f64 x x) #s(literal 1081/24 binary64)) (.f64 x x) #s(literal 19/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -20 (pow x 2)))
(fma.f64 #s(literal -20 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 200 (pow x 2)) 20)))
(fma.f64 (fma.f64 #s(literal 200 binary64) (.f64 x x) #s(literal -20 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 200 (* -4000/3 (pow x 2)))) 20)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4000/3 binary64) (.f64 x x) #s(literal 200 binary64)) (.f64 x x) #s(literal -20 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 10 x) (* x (- (* 50 (pow x 2)) 1/2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 50 binary64) (fma.f64 #s(literal 19/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+ 1 (* x (+ (* 10 x) (* x (- (+ (* 50 (pow x 2)) (* x (+ (* -5 x) (* 500/3 (pow x 3))))) 1/2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 500/3 binary64) (.f64 x (fma.f64 #s(literal 45 binary64) (.f64 x x) #s(literal 19/2 binary64)))) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 10 x) (* 50 (pow x 3)))))
(fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 10 x) (* x (+ (* 50 (pow x 2)) (* 500/3 (pow x 4)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 500/3 binary64) (fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64)))
(exp (* 10 (sqrt x)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(+ 1 (* 10 x))
(fma.f64 #s(literal 10 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 10 (* 50 x))))
(fma.f64 (fma.f64 #s(literal 50 binary64) x #s(literal 10 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500/3 binary64) x #s(literal 50 binary64)) x #s(literal 10 binary64)) x #s(literal 1 binary64))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow (exp (* 5 (pow x 2))) 2)
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(cos x)
(cos.f64 x)
(* (cos x) (exp (* 10 (pow x 2))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(exp (* 10 (pow x 2)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(exp x)
(exp.f64 x)
(* (cos x) (sqrt (/ 1 (exp (* -20 (pow x 2))))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)) (cos.f64 x))
(sqrt (/ 1 (exp (* -20 (pow x 2)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))
(exp (* -20 (pow x 2)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -20 binary64)) x) x)
(exp (* 10 x))
(pow.f64 (exp.f64 x) #s(literal 10 binary64))
(* (cos x) (exp (* -10 (* (pow x 2) (pow (sqrt -1) 2)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(exp (* -10 (* (pow x 2) (pow (sqrt -1) 2))))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(exp (* 10 (* (sqrt x) (pow (sqrt -1) 2))))
(pow.f64 (exp.f64 #s(literal -10 binary64)) (sqrt.f64 x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite40.0ms (0.3%)

Memory

-27.1MiB live, 10.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	203
0	74	122
1	215	94
2	917	38
0	10962	38

Stop Event

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

Counts

19 → 62

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(cos.f64 x)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 10 binary64) x))
(exp.f64 x)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 (neg.f64 x) x))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx (* (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x)
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))

Outputs
#s(literal 1 binary64)
(.f64 (.f64 (exp.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 5/4 binary64))) (exp.f64 #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 15/2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 15/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 5/2 binary64)))
(.f64 (exp.f64 #s(literal 5/4 binary64)) (.f64 (exp.f64 #s(literal 5/4 binary64)) (exp.f64 #s(literal 15/2 binary64))))
(*.f64 (exp.f64 #s(literal 5/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))
(*.f64 (exp.f64 #s(literal 5 binary64)) (exp.f64 #s(literal 5 binary64)))
(pow.f64 (exp.f64 #s(literal 40 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 20 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 #s(literal 20 binary64)))
(fabs.f64 (exp.f64 #s(literal 10 binary64)))
(exp.f64 #s(literal 10 binary64))
(.f64 (.f64 (exp.f64 #s(literal 5/2 binary64)) (exp.f64 #s(literal 5/4 binary64))) (exp.f64 #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 (exp.f64 #s(literal 15/2 binary64))) (sqrt.f64 (exp.f64 #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 #s(literal 5/2 binary64))) (sqrt.f64 (exp.f64 #s(literal 15/2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 #s(literal 5 binary64))) (sqrt.f64 (exp.f64 #s(literal 5 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (exp.f64 #s(literal 5/4 binary64)) (.f64 (exp.f64 #s(literal 5/4 binary64)) (exp.f64 #s(literal 5/2 binary64))))
(*.f64 (exp.f64 #s(literal 5/2 binary64)) (exp.f64 #s(literal 5/2 binary64)))
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 20 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 #s(literal 10 binary64)))
(fabs.f64 (exp.f64 #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 #s(literal 5 binary64))
x
#s(literal 0 binary64)
(.f64 #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 x)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
x
#s(literal 0 binary64)

eval18.0ms (0.1%)

Memory: 22.5MiB live, 22.5MiB allocated
Compiler: Compiled 3 625 to 561 computations (84.5% saved)

prune104.0ms (0.8%)

Memory

-57.3MiB live, 51.2MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	5	16	21
Picked	3	2	5
Done	0	5	5
Total	131	28	159

Accuracy

99.7%

Counts

159 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
	96.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
▶	96.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
✓	96.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
✓	95.4%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
✓	93.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
	98.1%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
	95.4%	(.f64 (cos.f64 x) (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
	94.8%	(.f64 (cos.f64 x) (pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 #s(literal 5 binary64) x)))
	94.0%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))))
✓	94.8%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
✓	95.3%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
	99.2%	(.f64 (cos.f64 x) (pow.f64 #s(approx (pow (exp 20) ( (neg x) x)) (pow.f64 (pow.f64 (exp.f64 #s(literal -20 binary64)) x) x)) #s(literal -1/2 binary64)))
	95.3%	(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
	98.9%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
	98.1%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) #s(approx (/ ( x 1) 2) (*.f64 #s(literal 1/2 binary64) x)))))
	97.7%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(approx (pow (exp 10) x) (pow.f64 (exp.f64 x) #s(literal 10 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	97.7%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
▶	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
✓	94.6%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
▶	99.3%	(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
	9.8%	(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
	96.7%	(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
	27.6%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
	21.3%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	18.2%	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
▶	9.7%	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
✓	1.5%	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Compiler

Compiled 896 to 626 computations (30.1% saved)

simplify274.0ms (2.1%)

Memory

42.8MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	384	(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	6144	(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
cost-diff	6464	(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal 20 binary64))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
cost-diff	320	(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 #s(literal 10 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 10 binary64) x) x)
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)))
cost-diff	0	(cos.f64 x)
cost-diff	0	(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
cost-diff	640	(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	316
0	80	278
1	113	270
2	166	270
3	343	270
4	1157	251
5	2695	251
6	4042	251
7	5692	251
0	8665	251

Stop Event

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

Calls

Call 1

Inputs
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(cos.f64 x)
x
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)
(pow.f64 (exp.f64 #s(literal 20 binary64)) x)
(exp.f64 #s(literal 20 binary64))
#s(literal 20 binary64)
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(cos.f64 x)
x
(exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x))
(.f64 (.f64 #s(literal 10 binary64) x) x)
(*.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(exp.f64 x)
#s(literal 20 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
(cos.f64 x)
x
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
#s(literal 5 binary64)

Outputs
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(.f64 #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))) (cos.f64 x))
(cos.f64 x)
x
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)))
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) x)
(pow.f64 (exp.f64 #s(literal 20 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(exp.f64 #s(literal 20 binary64))
#s(literal 20 binary64)
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(.f64 (.f64 #s(literal 10 binary64) x) x)
(*.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)) (cos.f64 x))
(cos.f64 x)
x
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64))
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(exp.f64 x)
#s(literal 20 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
(.f64 (.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) (.f64 x x)) (cos.f64 x)) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 x x))))
(cos.f64 x)
x
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))))
(.f64 #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (exp.f64 #s(literal 5 binary64)) (.f64 x x))) (pow.f64 (exp.f64 #s(literal 5 binary64)) (.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(exp.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))
#s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
#s(literal 5 binary64)

localize222.0ms (1.7%)

Memory

-34.9MiB live, 126.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.43359375	(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))))
accuracy	0.4921875	(pow.f64 (exp.f64 x) x)
accuracy	0.9918937988422101	(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
accuracy	0.9997944337909421	(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
accuracy	0	(cos.f64 x)
accuracy	0.19140625	(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.344413769536884	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
accuracy	2.2517705308974847	(pow.f64 (exp.f64 x) #s(literal 20 binary64))
accuracy	0	(cos.f64 x)
accuracy	0.2265625	(.f64 (.f64 #s(literal 10 binary64) x) x)
accuracy	0.344413769536884	(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
accuracy	3.279070515663571	(exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x))
accuracy	0.344413769536884	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
accuracy	0.50390625	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	52.413343176725675	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	57.84652383753375	#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
accuracy	0.03515625	(pow.f64 (exp.f64 #s(literal 20 binary64)) x)
accuracy	0.1171875	(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))
accuracy	0.344413769536884	(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
accuracy	0.43978500976844204	(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)

Samples

147.0ms

256×

valid

Compiler

Compiled 580 to 97 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-pow: 48.0ms (37.4% of total)

ival-sqrt: 41.0ms (32% of total)

ival-mult: 16.0ms (12.5% of total)

ival-exp: 10.0ms (7.8% of total)

ival-cos: 8.0ms (6.2% of total)

ival-div: 1.0ms (0.8% of total)

ival-add: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series14.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

25 → 49

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(cos.f64 x)
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (.f64 #s(literal 10 binary64) x) x)
(*.f64 #s(literal 10 binary64) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)
(pow.f64 (exp.f64 #s(literal 20 binary64)) x)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(pow.f64 (exp.f64 x) x)
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))))

Outputs
1
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(* 10 (pow x 2))
(* 10 x)
(+ 1 (* 20 x))
(+ 1 (* x (+ 20 (* 200 x))))
(+ 1 (* x (+ 20 (* x (+ 200 (* 4000/3 x))))))
(+ 1 (* 5 (pow x 2)))
(+ 1 (* (pow x 2) (+ 5 (* 25/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 5 (* (pow x 2) (+ 25/2 (* 125/6 (pow x 2)))))))
(* 1/2 x)
x
(+ 1 (* 20 (pow x 2)))
(+ 1 (* (pow x 2) (+ 20 (* 200 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 20 (* (pow x 2) (+ 200 (* 4000/3 (pow x 2)))))))
(+ 1 (* 10 x))
(+ 1 (* x (+ 10 (* 50 x))))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(sqrt (exp (* 20 (pow x 2))))
(* (cos x) (sqrt (/ 1 (exp (* -20 (pow x 2))))))
(cos x)
(sqrt (/ 1 (exp (* -20 (pow x 2)))))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (cos x) (exp (* 10 (pow x 2))))
(exp (* 1/2 (* x (log (pow (exp x) 20)))))
(* (cos x) (exp (* 1/2 (* x (log (pow (exp x) 20))))))
(pow (exp x) 20)
(exp (* 5 (pow x 2)))
(pow (exp (pow x 2)) 5)
(exp (* 20 (pow x 2)))
(exp (* 20 x))
(pow (exp (* 5 (pow x 2))) 2)
(exp (* 10 (pow x 2)))
(exp (* 10 x))
(exp (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((sqrt (pow (pow (exp 20) x) x)) (* (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2)) (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (exp (* (* 10 x) x))) (* (* 10 x) x) (* 10 x) (pow (pow (exp x) 20) (* 1/2 x)) (* (cos x) (pow (pow (exp x) 20) (* 1/2 x))) (pow (exp x) 20) (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp x) x) 5) (/ (* x 1) 2) (* x 1) (pow (pow (exp 20) x) x) (pow (exp 20) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (exp (* (* 10 x) x)) (pow (exp 10) x) (pow (exp x) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))))

5.0ms

-inf

((sqrt (pow (pow (exp 20) x) x)) (* (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2)) (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (exp (* (* 10 x) x))) (* (* 10 x) x) (* 10 x) (pow (pow (exp x) 20) (* 1/2 x)) (* (cos x) (pow (pow (exp x) 20) (* 1/2 x))) (pow (exp x) 20) (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp x) x) 5) (/ (* x 1) 2) (* x 1) (pow (pow (exp 20) x) x) (pow (exp 20) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (exp (* (* 10 x) x)) (pow (exp 10) x) (pow (exp x) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))))

3.0ms

((sqrt (pow (pow (exp 20) x) x)) (* (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2)) (cos x) (pow (pow (exp 20) (* (neg x) x)) -1/2) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (exp (* (* 10 x) x))) (* (* 10 x) x) (* 10 x) (pow (pow (exp x) 20) (* 1/2 x)) (* (cos x) (pow (pow (exp x) 20) (* 1/2 x))) (pow (exp x) 20) (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp x) x) 5) (/ (* x 1) 2) (* x 1) (pow (pow (exp 20) x) x) (pow (exp 20) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (exp (* (* 10 x) x)) (pow (exp 10) x) (pow (exp x) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))))

simplify216.0ms (1.7%)

Memory

24.0MiB live, 174.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	431
1	380	429
2	920	417
3	2125	417
4	3149	417
5	4547	417
6	6588	417
0	8135	368

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
1
(+ 1 (* 10 (pow x 2)))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(+ 1 (* 19/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
(* 10 (pow x 2))
(* 10 x)
(+ 1 (* 20 x))
(+ 1 (* x (+ 20 (* 200 x))))
(+ 1 (* x (+ 20 (* x (+ 200 (* 4000/3 x))))))
(+ 1 (* 5 (pow x 2)))
(+ 1 (* (pow x 2) (+ 5 (* 25/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 5 (* (pow x 2) (+ 25/2 (* 125/6 (pow x 2)))))))
(* 1/2 x)
x
(+ 1 (* 20 (pow x 2)))
(+ 1 (* (pow x 2) (+ 20 (* 200 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 20 (* (pow x 2) (+ 200 (* 4000/3 (pow x 2)))))))
(+ 1 (* 10 x))
(+ 1 (* x (+ 10 (* 50 x))))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(sqrt (exp (* 20 (pow x 2))))
(* (cos x) (sqrt (/ 1 (exp (* -20 (pow x 2))))))
(cos x)
(sqrt (/ 1 (exp (* -20 (pow x 2)))))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (cos x) (exp (* 10 (pow x 2))))
(exp (* 1/2 (* x (log (pow (exp x) 20)))))
(* (cos x) (exp (* 1/2 (* x (log (pow (exp x) 20))))))
(pow (exp x) 20)
(exp (* 5 (pow x 2)))
(pow (exp (pow x 2)) 5)
(exp (* 20 (pow x 2)))
(exp (* 20 x))
(pow (exp (* 5 (pow x 2))) 2)
(exp (* 10 (pow x 2)))
(exp (* 10 x))
(exp (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* 50 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 50 binary64) (.f64 x x) #s(literal 10 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 10 (* (pow x 2) (+ 50 (* 500/3 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500/3 binary64) (.f64 x x) #s(literal 50 binary64)) (.f64 x x) #s(literal 10 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 19/2 (pow x 2)))
(fma.f64 #s(literal 19/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* 1081/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1081/24 binary64) (.f64 x x) #s(literal 19/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 19/2 (* (pow x 2) (+ 1081/24 (* 102299/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 102299/720 binary64) (.f64 x x) #s(literal 1081/24 binary64)) (.f64 x x) #s(literal 19/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* 10 (pow x 2))
(.f64 (.f64 x x) #s(literal 10 binary64))
(* 10 x)
(*.f64 #s(literal 10 binary64) x)
(+ 1 (* 20 x))
(fma.f64 #s(literal 20 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 20 (* 200 x))))
(fma.f64 (fma.f64 #s(literal 200 binary64) x #s(literal 20 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 20 (* x (+ 200 (* 4000/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4000/3 binary64) x #s(literal 200 binary64)) x #s(literal 20 binary64)) x #s(literal 1 binary64))
(+ 1 (* 5 (pow x 2)))
(fma.f64 #s(literal 5 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 5 (* 25/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 25/2 binary64) (.f64 x x) #s(literal 5 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 5 (* (pow x 2) (+ 25/2 (* 125/6 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 125/6 binary64) (.f64 x x) #s(literal 25/2 binary64)) (.f64 x x) #s(literal 5 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
(+ 1 (* 20 (pow x 2)))
(fma.f64 (*.f64 #s(literal 20 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 20 (* 200 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 200 binary64) x) x #s(literal 20 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 20 (* (pow x 2) (+ 200 (* 4000/3 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4000/3 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 200 binary64) x) x #s(literal 20 binary64)) (.f64 x x) #s(literal 1 binary64)))
(+ 1 (* 10 x))
(fma.f64 #s(literal 10 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 10 (* 50 x))))
(fma.f64 (fma.f64 #s(literal 50 binary64) x #s(literal 10 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 10 (* x (+ 50 (* 500/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500/3 binary64) x #s(literal 50 binary64)) x #s(literal 10 binary64)) x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))))
(sqrt (exp (* 20 (pow x 2))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))
(* (cos x) (sqrt (/ 1 (exp (* -20 (pow x 2))))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 x x))) (cos.f64 x))
(cos x)
(cos.f64 x)
(sqrt (/ 1 (exp (* -20 (pow x 2)))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))
(* (cos x) (pow (exp (* 5 (pow x 2))) 2))
(.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)) (cos.f64 x))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* (cos x) (exp (* 10 (pow x 2))))
(.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)) (cos.f64 x))
(exp (* 1/2 (* x (log (pow (exp x) 20)))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))
(* (cos x) (exp (* 1/2 (* x (log (pow (exp x) 20))))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 x x))) (cos.f64 x))
(pow (exp x) 20)
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(exp (* 5 (pow x 2)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)
(pow (exp (pow x 2)) 5)
(pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)
(exp (* 20 (pow x 2)))
(pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x))
(exp (* 20 x))
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(pow (exp (* 5 (pow x 2))) 2)
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(exp (* 10 (pow x 2)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (*.f64 x x))
(exp (* 10 x))
(pow.f64 (exp.f64 x) #s(literal 10 binary64))
(exp (pow x 2))
(pow.f64 (exp.f64 x) x)

rewrite37.0ms (0.3%)

Memory

-18.9MiB live, 18.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	236
0	78	188
1	220	172
2	978	55
0	10978	55

Stop Event

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

Counts

25 → 42

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(cos.f64 x)
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (.f64 #s(literal 10 binary64) x) x)
(*.f64 #s(literal 10 binary64) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 x) #s(literal 20 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x)
(pow.f64 (exp.f64 #s(literal 20 binary64)) x)
#s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x))
(pow.f64 (exp.f64 #s(literal 10 binary64)) x)
(pow.f64 (exp.f64 x) x)
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64))))

Outputs
#s(literal 1 binary64)
(.f64 #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 x)
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) #s(literal 1 binary64))
(.f64 #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(literal 0 binary64)
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
x
#s(literal 0 binary64)
x
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (pow (exp 20) (* (neg x) x)) -1/2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(literal 1 binary64)))

eval11.0ms (0.1%)

Memory: 21.6MiB live, 21.6MiB allocated
Compiler: Compiled 2 212 to 338 computations (84.7% saved)

prune167.0ms (1.3%)

Memory

-35.7MiB live, 102.2MiB allocated

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	73	12	85
Fresh	2	14	16
Picked	2	3	5
Done	0	7	7
Total	77	36	113

Accuracy

99.8%

Counts

113 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
	96.7%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
✓	96.7%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
✓	96.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
✓	95.4%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
✓	93.6%	(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
	98.1%	(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
	95.4%	(.f64 (cos.f64 x) (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
	94.8%	(.f64 (cos.f64 x) (pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 #s(literal 5 binary64) x)))
	94.0%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))))
✓	94.8%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
✓	95.3%	(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
	99.2%	(.f64 (cos.f64 x) (pow.f64 #s(approx (pow (exp 20) ( (neg x) x)) (pow.f64 (pow.f64 (exp.f64 #s(literal -20 binary64)) x) x)) #s(literal -1/2 binary64)))
	95.3%	(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
	98.9%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
	98.1%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) #s(approx (/ ( x 1) 2) (*.f64 #s(literal 1/2 binary64) x)))))
	99.0%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) #s(approx (pow (pow (exp x) x) 5) (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)))))
	97.7%	(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) #s(approx (/ (* x 1) 2) (.f64 #s(literal 1/2 binary64) x))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
	96.8%	(.f64 (cos.f64 x) (.f64 (pow.f64 #s(approx (pow (exp 10) x) (pow.f64 (exp.f64 x) #s(literal 10 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
	97.7%	(.f64 (cos.f64 x) (.f64 #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
✓	94.5%	(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
✓	94.6%	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	95.3%	(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
✓	99.3%	(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
	96.7%	(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 #s(approx (pow (exp 20) x) (pow.f64 (exp.f64 x) #s(literal 20 binary64))) x))))
	9.8%	(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
	96.7%	(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
	27.6%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
	27.6%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
	21.3%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
	21.3%	(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
	18.2%	(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
	18.2%	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
	3.9%	(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
	9.7%	(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
✓	1.5%	#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Compiler

Compiled 1 744 to 729 computations (58.2% saved)

regimes149.0ms (1.2%)

Memory

-3.8MiB live, 33.7MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
(.f64 (cos.f64 x) (pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 #s(approx (pow (exp 20) x) (pow.f64 (exp.f64 x) #s(literal 20 binary64))) x))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 10 binary64))))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 1 binary64)))))
(.f64 (cos.f64 x) (pow.f64 #s(approx (pow (exp 20) ( (neg x) x)) (pow.f64 (pow.f64 (exp.f64 #s(literal -20 binary64)) x) x)) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (sqrt.f64 x)) #s(approx ( (sqrt x) (* x 1)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(.f64 (cos.f64 x) (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
(.f64 (cos.f64 x) (.f64 #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)) #s(approx (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) #s(approx (/ (* x 1) 2) (.f64 #s(literal 1/2 binary64) x))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 #s(approx (pow (exp 10) x) (pow.f64 (exp.f64 x) #s(literal 10 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) #s(approx (pow (pow (exp x) x) 5) (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) x) x)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (pow (pow (exp 10) x) (/ ( x 1) 2)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 5 binary64)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) #s(approx (/ ( x 1) 2) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(approx (pow (exp 10) x) (pow.f64 (exp.f64 x) #s(literal 10 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 5 binary64)) #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (cos.f64 x) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))

Calls

2 calls:

133.0ms	x
14.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes19.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 10 binary64)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 5 binary64)) (.f64 #s(literal 2 binary64) x)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 20 binary64)) (.f64 #s(literal 1/2 binary64) x)))
(.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)))
(.f64 (cos.f64 x) (pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 #s(approx (pow (exp 20) x) (pow.f64 (exp.f64 x) #s(literal 20 binary64))) x))))

Outputs
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))

Calls

2 calls:

9.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
9.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))

Outputs
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))

Calls

2 calls:

7.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
7.0ms	x

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes163.0ms (1.3%)

Memory

-18.1MiB live, 20.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 (neg.f64 x) x))))

Outputs
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))

Calls

2 calls:

7.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
7.0ms	x

Results

Accuracy	Segments	Branch
95.3%	1	`x`
95.3%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 x) (.f64 #s(literal 10 binary64) x)))

Outputs
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))

Calls

2 calls:

6.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
6.0ms	x

Results

Accuracy	Segments	Branch
95.3%	1	`x`
95.3%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes39.0ms (0.3%)

Memory

-32.1MiB live, 12.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Calls

2 calls:

33.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
6.0ms	x

Results

Accuracy	Segments	Branch
94.6%	1	`x`
94.6%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))

Outputs

(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x)))

Calls

2 calls:

5.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
5.0ms	x

Results

Accuracy	Segments	Branch
27.6%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`
27.6%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-24.4MiB live, 12.1MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))

Outputs

(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))))

Calls

1 calls:

5.0ms

(*.f64 (cos.f64 x) (exp.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
27.6%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory

20.1MiB live, 20.2MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 #s(literal 10 binary64) x) x)))

Outputs
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Calls

2 calls:

5.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
4.0ms	x

Results

Accuracy	Segments	Branch
21.3%	1	`x`
21.3%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))

Outputs
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))

Calls

2 calls:

4.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
4.0ms	x

Results

Accuracy	Segments	Branch
18.2%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`
18.2%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory

-24.1MiB live, 13.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (* (pow (exp 10) 1/2) (pow (exp 10) 1/2)) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64))))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) #s(approx (sqrt (pow (pow (exp 20) x) x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 1 binary64)))))

Outputs
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))

Calls

2 calls:

6.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
3.0ms	x

Results

Accuracy	Segments	Branch
9.8%	1	`x`
9.8%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 (cos.f64 x) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))

Outputs

(*.f64 #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))

Calls

2 calls:

3.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
2.0ms	x

Results

Accuracy	Segments	Branch
9.7%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`
9.7%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

(*.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))

Outputs
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
2.0ms	x

Results

Accuracy	Segments	Branch
3.9%	1	`x`
3.9%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory

-25.9MiB live, 10.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Outputs
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Calls

2 calls:

3.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
1.0ms	x

Results

Accuracy	Segments	Branch
1.5%	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))`
1.5%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify206.0ms (1.6%)

Memory

-0.7MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	269
1	105	269

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

Outputs
(.f64 (cos.f64 x) #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))))
(.f64 #s(approx (pow (pow (exp 20) ( (neg x) x)) -1/2) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) x) x))) (cos.f64 x))
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) x) x) (cos.f64 x))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)))
(.f64 #s(approx (exp ( 10 (* x x))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 10 binary64)) x)) (cos.f64 x))
(.f64 (cos.f64 x) #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))))
(.f64 #s(approx (pow (pow (exp x) 20) ( 1/2 x)) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 20 binary64)) (*.f64 x x)))) (cos.f64 x))
(.f64 (cos.f64 x) (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)))
(.f64 (pow.f64 (exp.f64 #s(literal 10 binary64)) (.f64 x x)) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 (exp.f64 (.f64 (*.f64 x x) #s(literal 10 binary64))) (cos.f64 x))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)))
(.f64 (exp.f64 (.f64 (.f64 #s(literal 10 binary64) x) x)) #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 x x) #s(literal 10 binary64))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (*.f64 x x) #s(literal 10 binary64))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 #s(literal 10 binary64) (.f64 x x))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (.f64 (.f64 x x) #s(literal 10 binary64))))
(.f64 (cos.f64 x) #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( 10 (* x x))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 1 binary64))) (cos.f64 x))
(.f64 #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)) #s(approx (cos x) #s(approx (+ (* -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(approx ( (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) #s(literal 1 binary64)))
#s(approx (* (cos x) (exp (* 10 (* x x)))) #s(literal 1 binary64))

soundness6.7s (52.5%)

Memory

20.5MiB live, 1 213.6MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	236
0	78	188
1	220	172
2	978	55
0	10978	55
0	145	431
1	380	429
2	920	417
3	2125	417
4	3149	417
5	4547	417
6	6588	417
0	8135	368
0	53	143
1	131	143
2	336	143
3	718	143
4	1104	143
5	1266	143
6	1370	143
7	1591	143
8	2082	143
9	3361	143
10	4735	143
11	5453	143
12	5824	143
13	6066	143
14	6151	143
15	7235	143
0	8311	125
0	151	403
1	401	394
2	994	376
3	1937	376
4	3372	376
5	4782	376
6	7269	376
0	8224	330
0	150	408
1	384	394
2	948	371
3	2341	371
4	4099	371
5	4693	371
6	6336	371
0	8198	326
0	7	25
0	12	23
1	20	23
2	42	23
3	113	23
4	426	19
0	3399	19

Stop Event

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

Compiler

Compiled 576 to 287 computations (50.2% saved)

preprocess301.0ms (2.4%)

Memory: -0.3MiB live, 192.2MiB allocated
Remove: (abs x)
Compiler: Compiled 1 076 to 608 computations (43.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	19
1	31	19
2	82	19
3	203	19
4	349	19
5	417	19
6	460	19
7	480	19
8	486	19
9	491	19
10	493	19
0	7	9
0	12	9
1	18	9
2	25	9
3	30	9
0	30	9

Iter	Nodes	Cost
0	9	19
1	31	19
2	82	19
3	203	19
4	349	19
5	417	19
6	460	19
7	480	19
8	486	19
9	491	19
10	493	19
0	7	9
0	12	9
1	18	9
2	25	9
3	30	9
0	30	9

start0.0ms (0%)

analyze5.0ms (0%)

sample1.7s (13.7%)

explain112.0ms (0.9%)

preprocess34.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize34.0ms (0.3%)

series3.0ms (0%)

simplify214.0ms (1.7%)

rewrite119.0ms (0.9%)

eval81.0ms (0.6%)

prune59.0ms (0.5%)

simplify247.0ms (1.9%)

localize131.0ms (1%)

series111.0ms (0.9%)

simplify363.0ms (2.8%)

rewrite58.0ms (0.5%)

eval20.0ms (0.2%)

prune39.0ms (0.3%)

simplify174.0ms (1.4%)

localize184.0ms (1.4%)

series24.0ms (0.2%)

simplify223.0ms (1.8%)

rewrite40.0ms (0.3%)

eval18.0ms (0.1%)

prune104.0ms (0.8%)

simplify274.0ms (2.1%)

localize222.0ms (1.7%)

series14.0ms (0.1%)

simplify216.0ms (1.7%)

rewrite37.0ms (0.3%)

eval11.0ms (0.1%)

prune167.0ms (1.3%)

regimes149.0ms (1.2%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes163.0ms (1.3%)

regimes13.0ms (0.1%)

regimes39.0ms (0.3%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

simplify206.0ms (1.6%)

soundness6.7s (52.5%)

preprocess301.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	19
1	31	19
2	82	19
3	203	19
4	349	19
5	417	19
6	460	19
7	480	19
8	486	19
9	491	19
10	493	19
0	7	9
0	12	9
1	18	9
2	25	9
3	30	9
0	30	9