Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

analyze1.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

Operation const, time spent: 0.0ms, 0.0% of total-time

sample685.0ms (36.8%)

Results

510.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

Operation ival-div, time spent: 77.0ms, 50.0% of total-time

Operation ival-sub, time spent: 63.0ms, 41.0% of total-time

Operation const, time spent: 13.0ms, 9.0% of total-time

Bogosity

preprocess121.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

350×	`fma-define`
134×	`fma-neg`
78×	`associate-l`
52×	`times-frac`
46×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 x (-.f64 1 x))`
-	-	`(-.f64 1 x)`
-	-	`1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	31	80
2	60	76
3	127	76
4	267	76
5	454	76
6	652	76
7	740	76
8	771	76
9	783	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x))))

Outputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
(/.f64 x (+.f64 -1 (neg.f64 x)))
(/.f64 x (-.f64 -1 x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 1 (neg.f64 x)))
(/.f64 x (+.f64 x 1))

Results

42.0ms	511×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-sub, time spent: 7.0ms, 47.0% of total-time

Operation ival-div, time spent: 5.0ms, 34.0% of total-time

Operation const, time spent: 2.0ms, 14.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (-.f64 1 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize30.0ms (1.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 1 x))

Results

22.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sub, time spent: 3.0ms, 48.0% of total-time

Operation ival-div, time spent: 2.0ms, 32.0% of total-time

Operation const, time spent: 1.0ms, 16.0% of total-time

series2.0ms (0.1%)

Counts

1 → 18

Calls

Call 1

Inputs
#<alt (/.f64 x (-.f64 1 x))>

Outputs
#<alt x>
#<alt (*.f64 x (+.f64 1 x))>
#<alt (.f64 x (+.f64 1 (.f64 x (+.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))>
#<alt (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 x))))))))>
#<alt (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))))))>
#<alt -1>
#<alt (*.f64 -1 (+.f64 1 (/.f64 1 x)))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))>
#<alt -1>
#<alt (*.f64 -1 (+.f64 1 (/.f64 1 x)))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1) x))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1) x))) x)) 1)>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ x (- 1 x))
1.0ms	x	@	-inf	(/ x (- 1 x))
0.0ms	x	@	0	(/ x (- 1 x))

rewrite180.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`unpow-prod-down`
449×	`log1p-expm1-u`
449×	`expm1-log1p-u`
433×	`add-exp-log`
432×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	88	19
2	1181	19

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))

Outputs
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) 2)
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))

simplify209.0ms (11.2%)

Algorithm

1×	egg-herbie

Rules

970×	`div-sub`
888×	`associate-r`
824×	`associate-l`
654×	`times-frac`
528×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	3189
1	561	3069
2	1352	3021
3	5840	2955

Stop Event

1×	node limit

Counts

89 → 155

Calls

Call 1

Inputs
x
(*.f64 x (+.f64 1 x))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 x))))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 x))))))))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))))))
-1
(*.f64 -1 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(*.f64 -1 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1) x))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1) x))) x)) 1)
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) 2)
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))

Outputs
x
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 x 1))
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(.f64 x (+.f64 1 (.f64 x (+.f64 1 x))))
(*.f64 x (fma.f64 x (+.f64 x 1) 1))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))
(.f64 x (+.f64 1 (.f64 x (fma.f64 x (+.f64 x 1) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 1) 1) 1))
(.f64 x (.f64 (fma.f64 x x 1) (+.f64 x 1)))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 x))))))))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (fma.f64 x (+.f64 x 1) 1))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 1) 1) 1) 1))
(.f64 x (fma.f64 x (.f64 (fma.f64 x x 1) (+.f64 x 1)) 1))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))))))
(.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1 (.f64 x (fma.f64 x (+.f64 x 1) 1))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 1) 1) 1) 1) 1))
(.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 x x 1) (+.f64 x 1)) 1) 1))
-1
(*.f64 -1 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (/.f64 -1 x)) x))
(+.f64 -1 (/.f64 (-.f64 -1 (/.f64 1 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))
(-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (/.f64 -1 x)) x)) x) 1)
(*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 (+.f64 -1 (/.f64 -1 x)) (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 (-.f64 -1 (/.f64 1 x)) (pow.f64 x 3)) (-.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 (/.f64 (neg.f64 (+.f64 1 (/.f64 1 x))) (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 (/.f64 (+.f64 -1 (/.f64 -1 x)) (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 1)))
(+.f64 (/.f64 (-.f64 -1 (/.f64 1 x)) (pow.f64 x 4)) (-.f64 (-.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (-.f64 -1 (/.f64 1 x)) (pow.f64 x 4)) (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1)))
-1
(*.f64 -1 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (/.f64 -1 x)) x))
(+.f64 -1 (/.f64 (-.f64 -1 (/.f64 1 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1)
(-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (/.f64 -1 x)) x)) x) 1)
(*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1))
(-.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1) x))) x)) 1)
(-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 (+.f64 -1 (/.f64 -1 x)) (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 (-.f64 -1 (/.f64 1 x)) (pow.f64 x 3)) (-.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1) x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x) -1) x))) x) -1)
(fma.f64 -1 (/.f64 (-.f64 1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) x) -1) x)) x) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (/.f64 (-.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) x)) x)) x))
(+.f64 -1 (/.f64 (+.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1)) x)) x))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 x) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 x (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 x (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x 1) 1)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 x (-.f64 1 (pow.f64 x 2))))
(/.f64 (+.f64 x (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2)))
(/.f64 (fma.f64 x x x) (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 1) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(/.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (/.f64 (-.f64 1 x) (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) -2)) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(/.f64 (/.f64 (cbrt.f64 x) (-.f64 1 x)) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 (-.f64 1 x) (sqrt.f64 x))))
(/.f64 (*.f64 1 (/.f64 (sqrt.f64 x) (-.f64 1 x))) (pow.f64 x -1/2))
(/.f64 (/.f64 (sqrt.f64 x) (-.f64 1 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) 2)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))

eval50.0ms (2.7%)

Compiler: Compiled 2111 to 1619 computations (23.3% saved)

prune20.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	5	156

Accuracy

100.0%

Counts

156 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 1 x))
▶	52.6%	(*.f64 x (+.f64 x 1))
▶	53.3%	x
▶	48.2%	-1

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize41.0ms (2.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x 1))

Results

29.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-add, time spent: 5.0ms, 34.0% of total-time

Operation ival-mult, time spent: 5.0ms, 34.0% of total-time

Operation composed, time spent: 4.0ms, 28.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

series4.0ms (0.2%)

Counts

1 → 18

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 x 1))>

Outputs
#<alt x>
#<alt (*.f64 x (+.f64 1 x))>
#<alt (*.f64 x (+.f64 1 x))>
#<alt (*.f64 x (+.f64 1 x))>
#<alt (*.f64 x (+.f64 1 x))>
#<alt (*.f64 x (+.f64 1 x))>
#<alt (pow.f64 x 2)>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (pow.f64 x 2)>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ x 1))
1.0ms	x	@	-inf	(* x (+ x 1))
1.0ms	x	@	0	(* x (+ x 1))

rewrite65.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`unpow-prod-down`
357×	`log1p-expm1-u`
357×	`expm1-log1p-u`
354×	`log-prod`
346×	`cbrt-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	84	18
2	1027	18

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 1))

Outputs
(+.f64 x (pow.f64 x 2))
(+.f64 0 (fma.f64 x x x))
(+.f64 (pow.f64 x 2) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))
(fma.f64 x x x)
(fma.f64 x 1 (pow.f64 x 2))
(fma.f64 1 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) x)
(fma.f64 (pow.f64 x 2) 1 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)

simplify99.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1438×	`times-frac`
1082×	`exp-prod`
806×	`prod-exp`
654×	`fma-neg`
472×	`exp-sum`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1436
1	244	1377
2	450	1376
3	1284	1376
4	6188	1376

Stop Event

1×	node limit

Counts

61 → 53

Calls

Call 1

Inputs
x
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 1 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(+.f64 x (pow.f64 x 2))
(+.f64 0 (fma.f64 x x x))
(+.f64 (pow.f64 x 2) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))
(fma.f64 x x x)
(fma.f64 x 1 (pow.f64 x 2))
(fma.f64 1 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) x)
(fma.f64 (pow.f64 x 2) 1 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)

Outputs
x
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 1 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(+.f64 0 (fma.f64 x x x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 3) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (*.f64 (pow.f64 x 3) (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) x))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 (fma.f64 x x x) 1)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4) 1/2)
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6) 1/3)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(log.f64 (exp.f64 (fma.f64 x x x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(exp.f64 (.f64 (.f64 3 (+.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 x x x)
(*.f64 x (+.f64 x 1))
(fma.f64 x 1 (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 1 x (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 1 (pow.f64 x 2) x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (pow.f64 x 2) 1 x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (pow.f64 x 2))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)

eval10.0ms (0.5%)

Compiler: Compiled 481 to 248 computations (48.4% saved)

prune9.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	53	5	58

Accuracy

100.0%

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 1 x))
✓	52.6%	(*.f64 x (+.f64 x 1))
✓	53.3%	x
✓	48.2%	-1

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes8.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
-1
x
(*.f64 x (+.f64 x 1))
(/.f64 x (-.f64 1 x))
(fma.f64 x x x)

Outputs
(/.f64 x (-.f64 1 x))

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 x (-.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 x (-.f64 1 x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

Inputs
-1
x
(*.f64 x (+.f64 x 1))

Outputs
-1
(*.f64 x (+.f64 x 1))
-1

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes90.0ms (4.8%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

89.0ms

Results

Accuracy	Segments	Branch
98.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
48.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.12852007541267307	61.11381836063373
17.0ms	-6.677120505568032	-3.629724274447816e-10

Results

19.0ms	287×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 190 to 151 computations (20.5% saved)

Precisions

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

Operation ival-div, time spent: 3.0ms, 55.0% of total-time

Operation ival-sub, time spent: 2.0ms, 37.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.12852007541267307	61.11381836063373
17.0ms	-6.677120505568032	-3.629724274447816e-10

Results

18.0ms	287×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 118 to 97 computations (17.8% saved)

Precisions

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

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

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

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
4×	`if-if-or-not`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	39	95
2	42	95
3	44	95
4	45	95

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 36 to 27 computations (25% saved)

soundness120.0ms (6.5%)

Rules

970×	`div-sub`
888×	`associate-r`
824×	`associate-l`
654×	`times-frac`
528×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	3189
1	561	3069
2	1352	3021
3	5840	2955

Stop Event

1×	node limit

Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess38.0ms (2%)

Compiler: Compiled 78 to 56 computations (28.2% saved)

analyze1.0ms (0.1%)

sample685.0ms (36.8%)

preprocess121.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.6%)

series2.0ms (0.1%)

rewrite180.0ms (9.7%)

simplify209.0ms (11.2%)

eval50.0ms (2.7%)

prune20.0ms (1.1%)

localize41.0ms (2.2%)

series4.0ms (0.2%)

rewrite65.0ms (3.5%)

simplify99.0ms (5.3%)

eval10.0ms (0.5%)

prune9.0ms (0.5%)

regimes8.0ms (0.4%)

regimes10.0ms (0.5%)

regimes90.0ms (4.8%)

regimes3.0ms (0.1%)

bsearch31.0ms (1.6%)

bsearch30.0ms (1.6%)

simplify5.0ms (0.3%)

soundness120.0ms (6.5%)

end0.0ms (0%)

preprocess38.0ms (2%)

Profiling