Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.4s (23%)

Memory

-109.9MiB live, 3 656.7MiB allocated

Samples

3.1s	5 597×	2	valid
712.0ms	2 509×	1	valid
10.0ms	150×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-sin: 2.3s (72.6% of total)

ival-sub: 313.0ms (10% of total)

adjust: 217.0ms (6.9% of total)

ival-div: 194.0ms (6.2% of total)

ival-tan: 60.0ms (1.9% of total)

ival-<=: 44.0ms (1.4% of total)

ival-and: 12.0ms (0.4% of total)

exact: 12.0ms (0.4% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain307.0ms (1.6%)

Memory

0.1MiB live, 323.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	0	-	0	-	`(-.f64 x (sin.f64 x))`
46	1	(1.5530215180636623e-161)	8	(-4.780760115899466e-105)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	92	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	39	0
↳	`(-.f64 x (sin.f64 x))`	underflow	164

Confusion

	Predicted +	Predicted -
+	130	0
-	1	125

Precision

0.9923664122137404

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	1	0	125

Precision?

0.9923664122137404

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

161.0ms	350×	2	valid
18.0ms	154×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 59 to 24 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-sin: 111.0ms (76.6% of total)

adjust: 12.0ms (8.3% of total)

ival-div: 10.0ms (6.9% of total)

ival-sub: 7.0ms (4.8% of total)

ival-tan: 4.0ms (2.8% of total)

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

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

preprocess82.0ms (0.4%)

Memory

-41.8MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune3.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify19.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize83.0ms (0.4%)

Memory

23.7MiB live, 23.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	8.870391809394297	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	19.91996550296899	(-.f64 x (sin.f64 x))

Samples

66.0ms	175×	2	valid
9.0ms	77×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-sin: 50.0ms (76.8% of total)

adjust: 6.0ms (9.2% of total)

ival-div: 4.0ms (6.1% of total)

ival-sub: 4.0ms (6.1% of total)

ival-tan: 2.0ms (3.1% of total)

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

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

series4.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))

simplify335.0ms (1.8%)

Memory

9.0MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	301	245
2	829	245
3	2499	233
4	5485	231
0	8483	207

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))

rewrite220.0ms (1.2%)

Memory

-23.4MiB live, 139.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	37	15
2	267	15
3	3099	15
0	9023	15

Stop Event

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

Counts

4 → 481

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (.f64 (+.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (-.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) (cos.f64 x))
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(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval111.0ms (0.6%)

Memory: -6.5MiB live, 73.5MiB allocated
Compiler: Compiled 11 155 to 1 553 computations (86.1% saved)

prune8.0ms (0%)

Memory

18.9MiB live, 18.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	496	4	500
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	497	4	501

Accuracy

99.9%

Counts

501 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	85.5%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 62 to 44 computations (29% saved)

simplify147.0ms (0.8%)

Memory

7.3MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	168
0	39	168
1	62	168
2	106	168
3	180	168
4	266	168
5	421	168
6	628	168
7	931	168
8	2651	168
9	3266	168
10	3445	168
11	3511	168
12	3543	168
13	3553	168
14	3678	168
15	3730	168
16	3734	168
17	3734	168
18	3734	168
19	3736	168
0	3736	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)

localize349.0ms (1.8%)

Memory

7.3MiB live, 208.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	#s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.15234375	(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	8.870391809394297	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
accuracy	0	(tan.f64 x)
accuracy	0.15234375	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.3635217681870261	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	8.870391809394297	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.015625	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.0859375	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.28515625	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0.203125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.4202934978109615	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Samples

246.0ms	175×	2	valid
83.0ms	77×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 292 to 47 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 80.0ms (40.1% of total)

ival-sin: 51.0ms (25.5% of total)

ival-sub: 24.0ms (12% of total)

adjust: 18.0ms (9% of total)

const: 13.0ms (6.5% of total)

ival-div: 5.0ms (2.5% of total)

ival-add: 4.0ms (2% of total)

ival-pow: 3.0ms (1.5% of total)

ival-tan: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.2%)

Memory

-30.0MiB live, 12.0MiB allocated

Counts

16 → 37

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(tan.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(+ 1/6 (* -1/120 (pow x 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) (tan x))
3.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) (tan x))
3.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) (tan x))

Time

Variable

Point

Expression

37.0ms

((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) (tan x))

3.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) (tan x))

3.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* -1/120 (* x x)) 1/6) (pow x 3)) (+ (* -1/120 (* x x)) 1/6) (tan x))

simplify374.0ms (2%)

Memory

21.8MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	337
1	313	327
2	880	327
3	2758	315
4	6684	313
0	8161	288

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(+ 1/6 (* -1/120 (pow x 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1/6 (* -1/120 (pow x 2)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* -1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1/120 (pow x 2))
(.f64 #s(literal -1/120 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite398.0ms (2.1%)

Memory

4.5MiB live, 243.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	145
0	39	145
1	125	145
2	722	145
3	6797	145
0	8271	145

Stop Event

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

Counts

16 → 436

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -23/2160 binary64) (.f64 x x) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x) (-.f64 (pow.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (.f64 x x) #s(literal 23/2160 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x) (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)))))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(pow.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (.f64 x x)) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x)) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x)))
(/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 #s(literal -23/360 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
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(fma.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64)) (/.f64 #s(literal -1/120 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/14400 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 #s(literal -1/120 binary64) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/120 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal -1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal -1/120 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
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(+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval324.0ms (1.7%)

Memory: 3.0MiB live, 123.9MiB allocated
Compiler: Compiled 13 352 to 1 894 computations (85.8% saved)

prune144.0ms (0.8%)

Memory

6.1MiB live, 44.2MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	507	9	516
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	510	10	520

Accuracy

100.0%

Counts

520 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)))))
	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
▶	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	24.9%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))

Compiler

Compiled 413 to 285 computations (31% saved)

simplify8.2s (43.2%)

Memory

-4.7MiB live, 104.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
cost-diff	0	(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
cost-diff	6848	(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	299
0	66	299
1	102	291
2	157	279
3	254	279
4	396	279
5	754	279
6	1434	279
7	2123	279
8	5555	279
9	7262	279
10	7701	279
11	7793	279
12	7850	279
13	7877	279
0	8338	279

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
x
(pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
x
(pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize303.0ms (1.6%)

Memory

-3.9MiB live, 445.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
accuracy	0.109375	(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
accuracy	0.23179628907376804	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.3828125	(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	0.15234375	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
accuracy	0.3635217681870261	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
accuracy	8.870391809394297	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.0078125	(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.0859375	(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.28515625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.46875	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.0859375	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.28515625	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.41363450174546285	#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.00390625	(pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
accuracy	0.015625	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.0859375	(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)

Samples

193.0ms	175×	2	valid
49.0ms	77×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 540 to 80 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-sin: 85.0ms (41.7% of total)

ival-mult: 32.0ms (15.7% of total)

const: 24.0ms (11.8% of total)

adjust: 22.0ms (10.8% of total)

ival-div: 14.0ms (6.9% of total)

ival-add: 12.0ms (5.9% of total)

ival-pow: 8.0ms (3.9% of total)

ival-sub: 4.0ms (2% of total)

ival-tan: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

-2.0MiB live, 39.7MiB allocated

Counts

24 → 49

Calls

Call 1

Inputs
(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 x x)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x x) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))

Outputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* -23/360 x)
(pow x 3)
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) (/ (- x (sin x)) (tan x)) (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (pow (+ (* -23/360 (* x x)) 1/6) -1) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (+ (* (* x x) (* -23/360 x)) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) (* -23/360 x)) (* 1/6 x)) x) (* x x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (+ (* -23/360 (* x x)) -1/6)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* -23/360 (* x x)) 1/6) (* -23/360 x) (* 1/6 x) (* (* x x) x) (+ (* 529/129600 (pow x 4)) -1/36))

4.0ms

-inf

((/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) (/ (- x (sin x)) (tan x)) (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (pow (+ (* -23/360 (* x x)) 1/6) -1) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (+ (* (* x x) (* -23/360 x)) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) (* -23/360 x)) (* 1/6 x)) x) (* x x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (+ (* -23/360 (* x x)) -1/6)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* -23/360 (* x x)) 1/6) (* -23/360 x) (* 1/6 x) (* (* x x) x) (+ (* 529/129600 (pow x 4)) -1/36))

4.0ms

((/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) (/ (- x (sin x)) (tan x)) (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (pow (+ (* -23/360 (* x x)) 1/6) -1) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (+ (* (* x x) (* -23/360 x)) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) (* -23/360 x)) (* 1/6 x)) x) (* x x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (+ (* -23/360 (* x x)) -1/6)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* -23/360 (* x x)) 1/6) (* -23/360 x) (* 1/6 x) (* (* x x) x) (+ (* 529/129600 (pow x 4)) -1/36))

simplify155.0ms (0.8%)

Memory

8.4MiB live, 243.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	434
1	384	430
2	1042	427
3	3146	415
0	8016	388

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* -23/360 x)
(pow x 3)
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))

Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/36 (pow x 2))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) x)
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* 529/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 529/129600 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

rewrite514.0ms (2.7%)

Memory

12.3MiB live, 372.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	262
0	66	244
1	206	228
2	1223	228
0	8456	228

Stop Event

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

Counts

24 → 1 041

Calls

Call 1

Inputs
(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 x x)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x x) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))

Outputs
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
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(*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) #s(literal -1/1296 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/4665600 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))) (.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (fma.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)))) (neg.f64 (-.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) #s(literal -1/1296 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 4 binary64)) #s(literal 1/1679616 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) #s(literal 1/1296 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) #s(literal -1/2176782336 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1679616 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/21767823360000 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) #s(literal -1/2176782336 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal 1/46656 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 3 binary64)) #s(literal 3244150909895248285300369/10314424798490535546171949056000000000000000000 binary64) #s(literal -1/101559956668416 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) (-.f64 #s(literal 1/2176782336 binary64) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -148035889/101559956668416000000 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64))) (-.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) #s(literal -1/1296 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/4665600 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) #s(literal -1/1296 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) (+.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/4665600 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (-.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/4665600 binary64)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal 1 binary64)) #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) (.f64 #s(literal -23/360 binary64) x)) x #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) (.f64 x x)) #s(literal -23/360 binary64) #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/36 binary64))
(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) x) x) (.f64 (.f64 #s(literal -23/360 binary64) x) x) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (.f64 #s(literal -23/360 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) #s(literal -1/36 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 (.f64 #s(literal -23/360 binary64) x) x)) #s(literal -1/36 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 529/129600 binary64) (*.f64 x x)) #s(literal -1/36 binary64))
(fma.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (.f64 (.f64 #s(literal -23/360 binary64) x) x)) #s(literal -1/36 binary64))
(-.f64 (/.f64 #s(literal 1/1296 binary64) (-.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (-.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64))))) (/.f64 #s(literal 1/46656 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 279841/16796160000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64))) (neg.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal 1/36 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(+.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)))

eval299.0ms (1.6%)

Memory: -18.4MiB live, 303.5MiB allocated
Compiler: Compiled 21 362 to 3 016 computations (85.9% saved)

prune63.0ms (0.3%)

Memory

-2.5MiB live, 81.1MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	653	7	660
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	659	11	670

Accuracy

100.0%

Counts

670 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
▶	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
✓	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	24.9%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 426 to 303 computations (28.9% saved)

simplify227.0ms (1.2%)

Memory

-3.9MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
cost-diff	6848	(/.f64 x (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
cost-diff	7232	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x)))
cost-diff	0	(.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	#s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
cost-diff	6464	(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	342
0	74	324
1	125	324
2	218	317
3	463	317
4	1178	315
5	2365	315
6	3865	315
7	5340	315
8	5936	315
9	6222	315
10	6563	315
11	6795	315
12	7219	315
13	7485	315
14	7593	315
15	7641	315
16	7641	315
17	7663	315
18	7663	315
0	8015	310

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)))
x
#s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x)
(.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x)
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
x
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)))
x
#s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x) #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))))
(/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x) #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)))
(.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x)
(.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x)
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
x
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

localize388.0ms (2%)

Memory

25.4MiB live, 629.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.14453125	(/.f64 x (pow.f64 x #s(literal -1 binary64)))
accuracy	0.2109375	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.12890625	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))
accuracy	0.5588898984186081	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x)))
accuracy	0.024101269536884032	#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))
accuracy	0.109375	(.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x)
accuracy	0.23179628907376804	(/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.3828125	(.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x)
accuracy	0	(/.f64 x #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)))
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
accuracy	0.0859375	(.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x)
accuracy	0.42122330897261984	#s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))
accuracy	0.00390625	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
accuracy	0.07421875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.15625	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
accuracy	0.28515625	(*.f64 #s(literal 1/6 binary64) x)

Samples

274.0ms	175×	2	valid
72.0ms	77×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 602 to 100 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-sin: 63.0ms (22.8% of total)

ival-mult: 61.0ms (22.1% of total)

adjust: 59.0ms (21.4% of total)

const: 29.0ms (10.5% of total)

ival-div: 24.0ms (8.7% of total)

ival-add: 18.0ms (6.5% of total)

ival-pow: 14.0ms (5.1% of total)

ival-sub: 4.0ms (1.4% of total)

ival-tan: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series98.0ms (0.5%)

Memory

-20.6MiB live, 17.5MiB allocated

Counts

23 → 57

Calls

Call 1

Inputs
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)))
#s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x)
(.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 3))
(pow x 3)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-6
(- (* -23/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -529/600 (pow x 2)) 23/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/36000 (pow x 2)) 529/600)) 23/10)) 6)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(/ 360/23 (pow x 2))
(/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (/ 1296000/12167 (pow x 4)))) (pow x 2))
(/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (+ (* 77760000/279841 (/ 1 (pow x 6))) (/ 1296000/12167 (pow x 4))))) (pow x 2))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))

Calls

3 calls:

Time

Variable

Point

Expression

89.0ms

((+ (* (* (pow x 3) -23/360) x) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (pow x 3) -23/360) (pow x 3) (/ (- x (sin x)) (tan x)) (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) (pow (+ (* -23/360 (* x x)) 1/6) -1) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (+ (* -23/360 (* x x)) -1/6)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ 1 (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x))) (/ (- x (sin x)) (tan x)) (/ -1 (+ (* (* x x) -23/360) 1/6)) (+ (* (* x x) -23/360) 1/6) (/ x (pow x -1)) (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (/ x (pow x -1))) (* 1/6 x) (* (* 1/6 x) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x)))

4.0ms

inf

((+ (* (* (pow x 3) -23/360) x) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (pow x 3) -23/360) (pow x 3) (/ (- x (sin x)) (tan x)) (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) (pow (+ (* -23/360 (* x x)) 1/6) -1) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (+ (* -23/360 (* x x)) -1/6)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ 1 (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x))) (/ (- x (sin x)) (tan x)) (/ -1 (+ (* (* x x) -23/360) 1/6)) (+ (* (* x x) -23/360) 1/6) (/ x (pow x -1)) (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (/ x (pow x -1))) (* 1/6 x) (* (* 1/6 x) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x)))

4.0ms

-inf

((+ (* (* (pow x 3) -23/360) x) (* (* 1/6 x) x)) (/ (- x (sin x)) (tan x)) (* (pow x 3) -23/360) (pow x 3) (/ (- x (sin x)) (tan x)) (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) (pow (+ (* -23/360 (* x x)) 1/6) -1) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (+ (* -23/360 (* x x)) -1/6)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) x) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ 1 (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x))) (/ (- x (sin x)) (tan x)) (/ -1 (+ (* (* x x) -23/360) 1/6)) (+ (* (* x x) -23/360) 1/6) (/ x (pow x -1)) (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (/ x (pow x -1))) (* 1/6 x) (* (* 1/6 x) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x)))

simplify127.0ms (0.7%)

Memory

16.5MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	567
1	369	565
2	959	559
3	2317	553
4	5194	553
0	8115	520

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 3))
(pow x 3)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-6
(- (* -23/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -529/600 (pow x 2)) 23/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/36000 (pow x 2)) 529/600)) 23/10)) 6)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(pow x 2)
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(/ 360/23 (pow x 2))
(/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (/ 1296000/12167 (pow x 4)))) (pow x 2))
(/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (+ (* 77760000/279841 (/ 1 (pow x 6))) (/ 1296000/12167 (pow x 4))))) (pow x 2))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* -1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/36 binary64))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) x)
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
-6
#s(literal -6 binary64)
(- (* -23/10 (pow x 2)) 6)
(fma.f64 #s(literal -23/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -529/600 (pow x 2)) 23/10)) 6)
(fma.f64 (fma.f64 #s(literal -529/600 binary64) (.f64 x x) #s(literal -23/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/36000 (pow x 2)) 529/600)) 23/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -12167/36000 binary64) (.f64 x x) #s(literal -529/600 binary64)) (.f64 x x) #s(literal -23/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 529/600 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* 529/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ 360/23 (pow x 2))
(/.f64 #s(literal 360/23 binary64) (*.f64 x x))
(/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal -360/23 binary64)) x) x)
(/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (/ 1296000/12167 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (+ (* 77760000/279841 (/ 1 (pow x 6))) (/ 1296000/12167 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 21600/529 binary64) (.f64 x x)))) (.f64 x x))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(* 529/129600 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(/ -360/23 (pow x 4))
(/.f64 #s(literal -360/23 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x))) x) x) #s(literal 360/23 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

rewrite173.0ms (0.9%)

Memory

-14.4MiB live, 225.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	293
0	74	277
1	273	268
2	1613	266
0	8420	261

Stop Event

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

Counts

23 → 1 006

Calls

Call 1

Inputs
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)))
#s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x)
(.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))

Outputs
(.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 23/2160 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 23/2160 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
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(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) x) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (neg.f64 x)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (neg.f64 x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) (neg.f64 x)))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 x x)))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -12167/46656000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))))
(.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) x) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -12167/46656000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -12167/46656000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) x))
(neg.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -12167/46656000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (/.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -12167/46656000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 529/129600 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))) #s(literal -1 binary64)))

eval91.0ms (0.5%)

Memory: 1.8MiB live, 118.7MiB allocated
Compiler: Compiled 22 913 to 2 761 computations (88% saved)

prune19.0ms (0.1%)

Memory

13.1MiB live, 50.7MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	719	5	724
Fresh	3	0	3
Picked	4	1	5
Done	0	3	3
Total	726	9	735

Accuracy

100.0%

Counts

735 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)) x)))
	98.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
✓	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 746 to 282 computations (62.2% saved)

regimes15.0ms (0.1%)

Memory

-17.5MiB live, 20.2MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))

Calls

2 calls:

9.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ -1 (+ (* (* x x) -23/360) 1/6)) (* (neg x) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 (neg.f64 x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (/ x (pow (+ (* -23/360 (* x x)) 1/6) -1)) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (pow (+ (* -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64)) x)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes31.0ms (0.2%)

Memory

-43.1MiB live, 4.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

30.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify21.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	115
1	47	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( -23/360 (* x x)) 1/6) -1) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

soundness822.0ms (4.3%)

Memory

8.9MiB live, 435.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	301	245
2	829	245
3	2499	233
4	5485	231
0	8483	207
0	112	337
1	313	327
2	880	327
3	2758	315
4	6684	313
0	8161	288
0	146	434
1	384	430
2	1042	427
3	3146	415
0	8016	388
0	25	145
0	39	145
1	125	145
2	722	145
3	6797	145
0	8271	145

Stop Event

1×	fuel
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

Compiler

Compiled 250 to 133 computations (46.8% saved)

preprocess95.0ms (0.5%)

Memory: -17.5MiB live, 96.9MiB allocated
Remove: (abs x)
Compiler: Compiled 334 to 154 computations (53.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

start0.0ms (0%)

analyze2.0ms (0%)

sample4.4s (23%)

explain307.0ms (1.6%)

preprocess82.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify19.0ms (0.1%)

localize83.0ms (0.4%)

series4.0ms (0%)

simplify335.0ms (1.8%)

rewrite220.0ms (1.2%)

eval111.0ms (0.6%)

prune8.0ms (0%)

simplify147.0ms (0.8%)

localize349.0ms (1.8%)

series44.0ms (0.2%)

simplify374.0ms (2%)

rewrite398.0ms (2.1%)

eval324.0ms (1.7%)

prune144.0ms (0.8%)

simplify8.2s (43.2%)

localize303.0ms (1.6%)

series17.0ms (0.1%)

simplify155.0ms (0.8%)

rewrite514.0ms (2.7%)

eval299.0ms (1.6%)

prune63.0ms (0.3%)

simplify227.0ms (1.2%)

localize388.0ms (2%)

series98.0ms (0.5%)

simplify127.0ms (0.7%)

rewrite173.0ms (0.9%)

eval91.0ms (0.5%)

prune19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes31.0ms (0.2%)

regimes2.0ms (0%)

simplify21.0ms (0.1%)

soundness822.0ms (4.3%)

preprocess95.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16