Details

analyze7.0ms (0.2%)

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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (45.7%)

Results

1.4s	8256×	body	256	valid
3.0ms	23×	body	256	invalid

Bogosity

preprocess297.0ms (9.4%)

Algorithm

2×	egg-herbie

Rules

1206×	`rational_best_45_simplify-1`
1166×	`rational_best_45_simplify-100`
1122×	`rational_best_45_simplify-91`
692×	`rational_best_45_simplify-39`
662×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	18	39
2	33	39
3	84	39
4	336	39
5	1516	39
6	5099	39
7	7134	39
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify325.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational_best_45_simplify-1`
1166×	`rational_best_45_simplify-100`
1122×	`rational_best_45_simplify-91`
692×	`rational_best_45_simplify-39`
662×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	18	39
2	33	39
3	84	39
4	336	39
5	1516	39
6	5099	39
7	7134	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize37.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series8.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
2.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	0	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite130.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best-4`
1358×	`rational_best-2`
1358×	`rational_best-3`
1358×	`rational_best-1`
850×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	110
1	67	110
2	170	110
3	584	110
4	2663	110

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 1 (*.f64 x x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

Outputs
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simplify229.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational_best_45_simplify-71`
1188×	`rational_best_45_simplify-100`
942×	`rational_best_45_simplify-37`
894×	`rational_best_45_simplify-91`
450×	`rational_best_45_simplify-83`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	360	5664
1	1302	5610
2	6512	5610

Stop Event

1×	node limit

Counts

184 → 225

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 0)
(-.f64 0 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)
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(.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) -1)
(.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))))
(.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 1 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 (.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (neg.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (/.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))
(neg.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 (-.f64 1 (*.f64 x x)) 0)
(+.f64 (-.f64 1 (.f64 x x)) (.f64 0 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(+.f64 0 (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(+.f64 (.f64 x (neg.f64 x)) (+.f64 (.f64 0 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) 1))
(+.f64 (.f64 0 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (.f64 x x)))
(.f64 1 (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) 1)
(.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 1 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x))))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x))))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (-.f64 1 (*.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (-.f64 1 (.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (-.f64 1 (.f64 x x)))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 (+.f64 (.f64 x x) -1) -1)
(.f64 (+.f64 (.f64 x x) -1) (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(.f64 -1 (+.f64 (.f64 x x) -1))
(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (*.f64 x x) -1)))
(.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (-.f64 1 (*.f64 x x)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (*.f64 x x)))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 (.f64 x x) -1))
(/.f64 (-.f64 1 (*.f64 x x)) 1)
(/.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(/.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (*.f64 x x) -1) -1)
(neg.f64 (+.f64 (*.f64 x x) -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 0 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (.f64 0 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(-.f64 0 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 1 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 -1 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))) (*.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 x -1/2) (.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (-.f64 (sqrt.f64 -1) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (neg.f64 (sqrt.f64 -1)) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (.f64 -1 (sqrt.f64 -1))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
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(+.f64 (-.f64 1 (.f64 x x)) (.f64 0 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(-.f64 1 (*.f64 x x))
(+.f64 0 (-.f64 1 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 (.f64 x (neg.f64 x)) (+.f64 (.f64 0 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) 1))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 (.f64 0 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (.f64 x x)))
(-.f64 1 (*.f64 x x))
(.f64 1 (-.f64 1 (.f64 x x)))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 1 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x))))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x))))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (-.f64 1 (*.f64 x x)))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (-.f64 1 (.f64 x x)))))
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (.f64 x x)))))
(-.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (-.f64 1 (.f64 x x)))
(-.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(-.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(-.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(-.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(-.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(-.f64 1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) -1) -1)
(-.f64 1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) -1) (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(-.f64 1 (*.f64 x x))
(.f64 -1 (+.f64 (.f64 x x) -1))
(-.f64 1 (*.f64 x x))
(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (*.f64 x x) -1)))
(-.f64 1 (*.f64 x x))
(.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (-.f64 1 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 (.f64 x x) -1))
(-.f64 1 (*.f64 x x))
(/.f64 (-.f64 1 (*.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(/.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(-.f64 1 (*.f64 x x))
(/.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(-.f64 1 (*.f64 x x))
(/.f64 (+.f64 (*.f64 x x) -1) -1)
(-.f64 1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 x x) -1))
(-.f64 1 (*.f64 x x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 0 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.f64 (.f64 0 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(-.f64 0 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 1 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval371.0ms (11.8%)

Compiler: Compiled 7351 to 4971 computations (32.4% saved)

prune113.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	223	3	226

Error

Counts

226 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(log.f64 (/.f64 2 x))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	0.4b	(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize29.0ms (0.9%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

localize10.0ms (0.3%)

Compiler: Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune83.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(log.f64 (/.f64 2 x))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.4b	(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes22.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Calls

3 calls:

7.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 57 to 41 computations (28.1% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.3b remaining (-76.9%)

Threshold costs -0.3b (-76.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))

Outputs
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	79

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness0.0ms (0%)

end33.0ms (1%)

Compiler: Compiled 28 to 21 computations (25% saved)

Details

analyze7.0ms (0.2%)

sample1.4s (45.7%)

preprocess297.0ms (9.4%)

simplify325.0ms (10.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize37.0ms (1.2%)

series8.0ms (0.3%)

rewrite130.0ms (4.1%)

simplify229.0ms (7.3%)

eval371.0ms (11.8%)

prune113.0ms (3.6%)

localize29.0ms (0.9%)

localize10.0ms (0.3%)

eval0.0ms (0%)

prune83.0ms (2.6%)

regimes22.0ms (0.7%)

regimes6.0ms (0.2%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end33.0ms (1%)

Profiling