Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.1s (41.8%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess10.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f32 x)

Outputs
(atanh.f32 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify95.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

868×	`rational_best_45_simplify-98`
846×	`rational_best_45_simplify-25`
708×	`rational_best_45_simplify-84`
600×	`rational_best_45_simplify-70`
562×	`rational_best_45_simplify-83`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	22	29
2	40	29
3	104	29
4	380	29
5	2048	29
6	5088	29

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))

Outputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f32 1/2 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize140.0ms (5.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
✓	0.1b	(/.f32 (+.f32 x x) (-.f32 1 x))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
1.0ms	x	@	-inf	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
1.0ms	x	@	inf	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
0.0ms	x	@	inf	(/.f32 (+.f32 x x) (-.f32 1 x))
0.0ms	x	@	0	(/.f32 (+.f32 x x) (-.f32 1 x))

rewrite245.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`rational_best_45_simplify-71`
818×	`rational_best_45_simplify-67`
814×	`rational_best-4`
814×	`rational_best-2`
814×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	46	42
2	100	42
3	345	42
4	1546	42
5	7757	42

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(/.f32 (+.f32 x x) (-.f32 1 x))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))

Outputs
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Outputs

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x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (*.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 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#<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))))

simplify129.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best_45_simplify-71`
894×	`rational_best_45_simplify-100`
804×	`rational_best_45_simplify-73`
726×	`rational_best_45_simplify-37`
708×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3292
1	1041	3250
2	5419	3244

Stop Event

1×	node limit

Counts

140 → 154

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) 0)
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (*.f32 (neg.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(+.f32 0 (/.f32 (+.f32 x x) (-.f32 1 x)))
(+.f32 (.f32 0 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (+.f32 x x) (-.f32 1 x)))
(+.f32 (.f32 0 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (+.f32 x x) (-.f32 1 x)))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) 0)
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 0 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (*.f32 (neg.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(-.f32 0 (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(-.f32 (.f32 0 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(-.f32 (.f32 0 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(*.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) 1)
(*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))))
(*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))))
(.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (+.f32 0 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))))
(.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))))
(*.f32 -1 (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(*.f32 (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) -1)
(*.f32 (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (neg.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
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(.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(*.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(.f32 (neg.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(.f32 (neg.f32 (.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(*.f32 (neg.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) 1)
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(neg.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (*.f32 2 (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 (+.f32 x (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
(+.f32 (.f32 2 x) (+.f32 (.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 (pow.f32 x 3) (pow.f32 x 4)))))
(+.f32 (.f32 2 (+.f32 (pow.f32 x 3) (pow.f32 x 4))) (.f32 2 (+.f32 x (pow.f32 x 2))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 2 (.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 2 (.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (.f32 (pow.f32 x 3) 2/3))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2 x) (.f32 2/5 (pow.f32 x 5)))) (.f32 2/7 (pow.f32 x 7)))
(+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/7 (pow.f32 x 7)) (.f32 2/5 (pow.f32 x 5)))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2 x) (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/7 (pow.f32 x 7)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (log.f32 -1)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 (/.f32 1 (pow.f32 x 3)) 2/3))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (log.f32 -1)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 (/.f32 1 (pow.f32 x 3)) 2/3))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) 0)
(/.f32 (+.f32 x x) (-.f32 1 x))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(/.f32 (+.f32 x x) (-.f32 1 x))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(/.f32 (+.f32 x x) (-.f32 1 x))
(+.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (*.f32 (neg.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(/.f32 (+.f32 x x) (-.f32 1 x))
(+.f32 0 (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (+.f32 x x) (-.f32 1 x))
(+.f32 (.f32 0 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (+.f32 x x) (-.f32 1 x))
(+.f32 (.f32 0 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) 0)
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 0 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (*.f32 (neg.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) 0))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 0 (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (.f32 0 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(-.f32 (.f32 0 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) (neg.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(*.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (+.f32 x x) (-.f32 1 x))
(*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) 1)
(/.f32 (+.f32 x x) (-.f32 1 x))
(*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (.f32 (*.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(*.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))))))
(/.f32 (+.f32 x x) (-.f32 1 x))
(.f32 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x))) (+.f32 0 (.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 1 (/.f32 (/.f32 (+.f32 x x) (-.f32 1 x)) (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(/.f32 (+.f32 x x) (-.f32 1 x))
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(.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (.f32 (*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 -1 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) -1)
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (.f32 -1 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (-.f32 (/.f32 0 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (-.f32 0 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (-.f32 0 (.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (*.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(.f32 (neg.f32 (.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(*.f32 (neg.f32 (neg.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) 1)
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))) (/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(/.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))) (.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))) (/.f32 1 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))
(neg.f32 (neg.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x)))

eval319.0ms (12%)

Compiler: Compiled 5278 to 3197 computations (39.4% saved)

prune23.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	4	155

Error

0.0b

Counts

155 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 (pow.f32 x 3) 2/3)))
✓	0.1b	(*.f32 1/2 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
▶	2.4b	(.f32 1/2 (log1p.f32 (.f32 2 x)))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 35 to 29 computations (17.1% saved)

localize13.0ms (0.5%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize21.0ms (0.8%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize34.0ms (1.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (pow.f32 x 3) 2/3)

Compiler

Compiled 37 to 29 computations (21.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f32 (pow.f32 x 3) 2/3)
0.0ms	x	@	-inf	(*.f32 (pow.f32 x 3) 2/3)
0.0ms	x	@	inf	(*.f32 (pow.f32 x 3) 2/3)

rewrite59.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best_45_simplify-100`
1006×	`rational_best-4`
1006×	`rational_best-2`
1006×	`rational_best-3`
1006×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	42	13
2	110	13
3	396	13
4	1944	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(*.f32 (pow.f32 x 3) 2/3)

Outputs
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3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (/.f32 2/3 (pow.f32 x 3)) (.f32 (pow.f32 x 3) (neg.f32 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 0 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (neg.f32 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 0 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (neg.f32 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 0 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3)))) (.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3))) (.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 0 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)))) (.f32 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3))) (.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 0 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3))) (.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3))) (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 3) -2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (pow.f32 x 3) -2/3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (neg.f32 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)) (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 0 (*.f32 (pow.f32 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (pow.f32 x 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (pow.f32 x 3) 2/3) (neg.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (/.f32 2/3 (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (neg.f32 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (*.f32 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (neg.f32 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))) (*.f32 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (neg.f32 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3)))) (*.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3))) (*.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)) (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)))) (*.f32 (*.f32 (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)) (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))) (*.f32 (pow.f32 x 3) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (*.f32 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3))) (*.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)) (/.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (*.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (*.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3))) (*.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) -2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (pow.f32 x 3) -2/3))))))

simplify181.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational_best_45_simplify-100`
1284×	`rational_best_45_simplify-35`
1046×	`rational_best_45_simplify-91`
1024×	`rational_best_45_simplify-37`
816×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1311
1	371	1285
2	1357	1281
3	5747	1281

Stop Event

1×	node limit

Counts

47 → 56

Calls

Call 1

Inputs
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(+.f32 0 (*.f32 (pow.f32 x 3) 2/3))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (*.f32 (neg.f32 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 0 (.f32 (pow.f32 x 3) 2/3))))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3))) 0))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (neg.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3))) 0))
(-.f32 0 (*.f32 (pow.f32 x 3) -2/3))
(-.f32 0 (.f32 (.f32 (pow.f32 x 3) 2/3) (neg.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))
(-.f32 0 (.f32 (/.f32 2/3 (pow.f32 x 3)) (.f32 (pow.f32 x 3) (neg.f32 (pow.f32 x 3)))))
(-.f32 (.f32 0 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (neg.f32 (pow.f32 x 3))))
(-.f32 (.f32 0 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (neg.f32 (pow.f32 x 3))))
(-.f32 (.f32 0 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3)))) (.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3))) (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (.f32 0 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)))) (.f32 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3))) (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (.f32 0 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) 1)
(/.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3))) (*.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3)))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3))) (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3)))))
(/.f32 (*.f32 (pow.f32 x 3) -2/3) -1)
(neg.f32 (*.f32 (pow.f32 x 3) -2/3))

Outputs
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(*.f32 2/3 (pow.f32 x 3))
(+.f32 0 (*.f32 (pow.f32 x 3) 2/3))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (*.f32 (neg.f32 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 0 (.f32 (pow.f32 x 3) 2/3))))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (neg.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3))) 0))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 0 (*.f32 (pow.f32 x 3) -2/3))
(neg.f32 (*.f32 (pow.f32 x 3) -2/3))
(-.f32 0 (.f32 (.f32 (pow.f32 x 3) 2/3) (neg.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 0 (.f32 (/.f32 2/3 (pow.f32 x 3)) (.f32 (pow.f32 x 3) (neg.f32 (pow.f32 x 3)))))
(neg.f32 (.f32 (pow.f32 x 3) (.f32 (neg.f32 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3)))))
(-.f32 (.f32 0 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (neg.f32 (pow.f32 x 3))))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 0 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (neg.f32 (pow.f32 x 3))))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (.f32 0 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3)))) (.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3))) (*.f32 (pow.f32 x 3) -2/3)))
(.f32 (.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 1 (.f32 2/3 (pow.f32 x 3)))) (neg.f32 (*.f32 (pow.f32 x 3) -2/3)))
(.f32 (.f32 2/3 (.f32 (/.f32 1 (.f32 2/3 (pow.f32 x 3))) (pow.f32 x 3))) (neg.f32 (*.f32 (pow.f32 x 3) -2/3)))
(.f32 (.f32 (pow.f32 x 3) -2/3) (.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 -1 (*.f32 2/3 (pow.f32 x 3)))))
(-.f32 (.f32 0 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)))) (.f32 (.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3))) (*.f32 (pow.f32 x 3) -2/3)))
(.f32 (.f32 (/.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/3 (pow.f32 x 3))) (/.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/3 (pow.f32 x 3)))) (neg.f32 (*.f32 (pow.f32 x 3) -2/3)))
(.f32 (.f32 (/.f32 (.f32 (pow.f32 x 3) 4/3) (.f32 (pow.f32 x 3) 4/3)) (/.f32 (.f32 (pow.f32 x 3) 4/3) (.f32 (pow.f32 x 3) 4/3))) (neg.f32 (*.f32 (pow.f32 x 3) -2/3)))
(-.f32 (.f32 0 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)))
(.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (-.f32 0 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) -2/3)))
(neg.f32 (.f32 (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (.f32 (pow.f32 x 3) -2/3)))
(neg.f32 (.f32 (/.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) 4/3) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) 4/3)) (.f32 (pow.f32 x 3) -2/3)))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) 1)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3)))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))))
(/.f32 (*.f32 2/3 (pow.f32 x 3)) (/.f32 (/.f32 2/3 (pow.f32 x 3)) (/.f32 2/3 (pow.f32 x 3))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3))) (*.f32 (pow.f32 x 3) (/.f32 2/3 (pow.f32 x 3)))))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (/.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 (pow.f32 x 3) 2/3)) (/.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (/.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/3 (pow.f32 x 3))) (/.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/3 (pow.f32 x 3)))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (/.f32 (.f32 (pow.f32 x 3) 4/3) (.f32 (pow.f32 x 3) 4/3)) (/.f32 (.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 3) 4/3))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))) 4/3) (.f32 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))) 4/3)))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 -2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))) (.f32 -2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) 4/3) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) 4/3))) (.f32 (pow.f32 x 3) (/.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) 4/3) (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) 4/3)))))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3))))) (.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (.f32 2/3 (*.f32 (/.f32 (pow.f32 x 3) (pow.f32 x 3)) (/.f32 (pow.f32 x 3) (pow.f32 x 3)))))))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (pow.f32 x 3) (/.f32 (.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3))) (.f32 (pow.f32 x 3) (/.f32 (*.f32 2/3 (/.f32 (pow.f32 x 3) (pow.f32 x 3))) (pow.f32 x 3)))))
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (.f32 (pow.f32 x 3) 2/3))) (.f32 (.f32 (pow.f32 x 3) 2/3) (/.f32 1 (*.f32 (pow.f32 x 3) 2/3)))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 1 (.f32 2/3 (pow.f32 x 3)))) (.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 1 (*.f32 2/3 (pow.f32 x 3))))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 2/3 (.f32 (/.f32 1 (.f32 2/3 (pow.f32 x 3))) (pow.f32 x 3))) (.f32 2/3 (.f32 (/.f32 1 (*.f32 2/3 (pow.f32 x 3))) (pow.f32 x 3)))))
(/.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 (.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 -1 (.f32 2/3 (pow.f32 x 3)))) (.f32 (.f32 2/3 (pow.f32 x 3)) (/.f32 -1 (*.f32 2/3 (pow.f32 x 3))))))
(/.f32 (*.f32 (pow.f32 x 3) -2/3) -1)
(neg.f32 (*.f32 (pow.f32 x 3) -2/3))
(neg.f32 (*.f32 (pow.f32 x 3) -2/3))

eval118.0ms (4.4%)

Compiler: Compiled 1890 to 1540 computations (18.5% saved)

prune39.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	56	4	60

Error

0.0b

Counts

60 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 (pow.f32 x 3) 2/3)))
✓	0.1b	(*.f32 1/2 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
✓	2.4b	(.f32 1/2 (log1p.f32 (.f32 2 x)))
✓	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes88.0ms (3.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (log1p.f32 -2))
(.f32 1/2 (log1p.f32 (.f32 2 x)))
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(*.f32 1/2 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 1 x))))
(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 (pow.f32 x 3) 2/3)))

Outputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))

Calls

4 calls:

74.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
4.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
4.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
4.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))`
0.1b	1	`(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))`
0.1b	1	`(/.f32 (*.f32 2 x) (-.f32 1 x))`

Compiler

Compiled 72 to 57 computations (20.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -29.6b remaining (-1237.4%)

Threshold costs -29.6b (-1237.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (log1p.f32 -2))
(.f32 1/2 (log1p.f32 (.f32 2 x)))

Outputs
(.f32 1/2 (log1p.f32 (.f32 2 x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
2.4b	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 2 x)))
(*.f32 1/2 (log1p.f32 -2))

Outputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 2 x)))
(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 23 to 20 computations (13% saved)

soundness0.0ms (0%)

end19.0ms (0.7%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

Details

analyze6.0ms (0.2%)

sample1.1s (41.8%)

preprocess10.0ms (0.4%)

simplify95.0ms (3.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize140.0ms (5.2%)

series4.0ms (0.1%)

rewrite245.0ms (9.2%)

simplify129.0ms (4.8%)

eval319.0ms (12%)

prune23.0ms (0.9%)

localize13.0ms (0.5%)

localize21.0ms (0.8%)

localize34.0ms (1.3%)

series1.0ms (0%)

rewrite59.0ms (2.2%)

simplify181.0ms (6.8%)

eval118.0ms (4.4%)

prune39.0ms (1.5%)

regimes88.0ms (3.3%)

regimes3.0ms (0.1%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end19.0ms (0.7%)

Profiling