Details

analyze20.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	4
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	5
78.6%	68.7%	18.7%	0.1%	0%	0%	12.5%	6
80%	68.7%	17.2%	0.1%	0%	0%	14%	7
87.1%	68.7%	10.1%	0.1%	0%	0%	21.1%	8
88.4%	68.7%	9%	0.1%	0%	0%	22.2%	9
92.9%	68.7%	5.3%	0.1%	0%	0%	26%	10
93.7%	68.7%	4.6%	0.1%	0%	0%	26.6%	11
96.2%	68.7%	2.7%	0.1%	0%	0%	28.5%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample922.0ms (21.5%)

Results

854.0ms	8256×	body	256	valid
55.0ms	189×	body	256	unsamplable

Bogosity

preprocess42.0ms (1%)

Algorithm

2×	egg-herbie

Rules

740×	`rational_best-simplify-111`
726×	`rational_best-simplify-113`
586×	`rational_best-simplify-61`
584×	`rational_best-simplify-65`
572×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	38	50
2	259	50
3	1737	50
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational_best-simplify-1`
680×	`rational_best-simplify-21`
678×	`rational_best-simplify-20`
678×	`rational_best-simplify-18`
570×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	25	25
2	153	25
3	966	25
4	6644	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% 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

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite86.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational_best-simplify-1`
680×	`rational_best-simplify-21`
678×	`rational_best-simplify-20`
678×	`rational_best-simplify-18`
388×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	25	40
2	153	40
3	966	40
4	6643	40

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 a) (neg.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 b)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (exp.f64 b) (exp.f64 a)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 b) 0) (/.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (exp.f64 a) (exp.f64 b)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (exp.f64 b)) 0) (/.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))))))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational_best-simplify-61`
876×	`rational_best-simplify-3`
844×	`rational_best-simplify-1`
668×	`rational_best-simplify-53`
612×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1806
1	750	1786
2	4422	1746

Stop Event

1×	node limit

Counts

38 → 65

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(-.f64 (exp.f64 a) (neg.f64 (exp.f64 b)))
(-.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0)
(-.f64 0 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(*.f64 -1 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(*.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) -1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(/.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) -1)
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 b)))) -2)
(/.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(neg.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(if (!=.f64 (-.f64 (exp.f64 b) (exp.f64 a)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 (exp.f64 b) 0) (/.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 (-.f64 (exp.f64 a) (exp.f64 b)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 (neg.f64 (exp.f64 b)) 0) (/.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 0 0) 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(if (!=.f64 -1 0) (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 3/2)) (pow.f64 a 2))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -3/2)) (pow.f64 a 2)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 3/2)) (pow.f64 a 2))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/6) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) 3/2)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 2/3)))) (pow.f64 a 3))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -3/2)) (pow.f64 a 2))) (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/6) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) 3/2)) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 2/3) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (pow.f64 a 3))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/6) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) 3/2)) (+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 2/3) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (pow.f64 a 3)) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -3/2)) (pow.f64 a 2)))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))))
(+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))))
(+.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 (pow.f64 b 2) (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2) (.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 (pow.f64 b 2) (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))) (.f64 (pow.f64 b 3) (+.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)) (-.f64 -1 (exp.f64 a))) (-.f64 (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 1 (+.f64 (+.f64 (exp.f64 b) a) (*.f64 1/2 (pow.f64 a 2))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 (exp.f64 b) a)) (+.f64 (.f64 1/2 (pow.f64 a 2)) 1))
(+.f64 (+.f64 (+.f64 (exp.f64 b) a) (.f64 1/6 (pow.f64 a 3))) (+.f64 1 (.f64 1/2 (pow.f64 a 2))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 b (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 1 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/2 (pow.f64 b 2)) (+.f64 b (exp.f64 a))) (.f64 1/6 (pow.f64 b 3))))
(+.f64 (+.f64 1 (exp.f64 a)) (+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 1 (exp.f64 a)) (+.f64 (+.f64 b (.f64 1/2 (pow.f64 b 2))) (.f64 1/6 (pow.f64 b 3))))
(-.f64 (exp.f64 a) (neg.f64 (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 0 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 -1 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) -1)
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) -1)
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 b)))) -2)
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(neg.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (-.f64 (exp.f64 b) (exp.f64 a)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (exp.f64 b) 0) (/.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (-.f64 (exp.f64 a) (exp.f64 b)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 (neg.f64 (exp.f64 b)) 0) (/.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 0 0) 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(if (!=.f64 -1 0) (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))

eval29.0ms (0.7%)

Compiler: Compiled 2108 to 1260 computations (40.2% saved)

prune17.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	6	66

Error

0.0b

Counts

66 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
▶	20.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	19.6b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	13.6b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	20.7b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
	25.1b	(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)))))

Compiler

Compiled 348 to 236 computations (32.2% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (pow.f64 a 2))
✓	0.0b	(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
✓	0.0b	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
✓	0.0b	(+.f64 1 (+.f64 a (exp.f64 b)))

Compiler

Compiled 56 to 31 computations (44.6% saved)

series7.0ms (0.2%)

Counts

4 → 33

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
1.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
1.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
1.0ms	b	@	-inf	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))

rewrite132.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`rational_best-simplify-111`
616×	`rational_best-simplify-124`
570×	`rational_best-simplify-62`
538×	`rational_best-simplify-1`
482×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	44	110
2	234	110
3	1655	110

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(+.f64 1 (+.f64 a (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(*.f64 1/2 (pow.f64 a 2))

Outputs
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()
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (pow.f64 a 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (pow.f64 a 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 a 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (pow.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 a 2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 a 2) -1/2) (.f64 (pow.f64 a 2) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/2 (.f64 (.f64 1/2 (pow.f64 a 2)) (pow.f64 a 2)))) (+.f64 1 (.f64 (pow.f64 a 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 a 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 a 2) -1/2) 0) (/.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 1/2 (pow.f64 a 2)) -1/2)) (.f64 (pow.f64 a 2) -1/2)) (.f64 1/2 (pow.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (pow.f64 a 2)) 0) (/.f64 (-.f64 (.f64 1/2 (.f64 (.f64 1/2 (pow.f64 a 2)) (pow.f64 a 2))) 0) (.f64 1/2 (pow.f64 a 2))) (*.f64 1/2 (pow.f64 a 2)))))))

simplify168.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1036×	`rational_best-simplify-65`
1022×	`rational_best-simplify-61`
908×	`rational_best-simplify-96`
888×	`rational_best-simplify-62`
642×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	7591
1	2779	7561

Stop Event

1×	node limit

Counts

139 → 211

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 b))
a
a
(+.f64 2 a)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))) (.f64 -8 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (.f64 8 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 5)))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))) (.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(*.f64 1/2 (pow.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a)
(*.f64 1/2 (pow.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(-.f64 1 (-.f64 (neg.f64 a) (exp.f64 b)))
(-.f64 a (-.f64 -1 (exp.f64 b)))
(-.f64 a (*.f64 -1 (+.f64 1 (exp.f64 b))))
(-.f64 (exp.f64 b) (-.f64 -1 a))
(-.f64 (exp.f64 b) (*.f64 -1 (+.f64 1 a)))
(-.f64 (+.f64 a (exp.f64 b)) -1)
(-.f64 (+.f64 1 (+.f64 a (exp.f64 b))) 0)
(-.f64 (+.f64 1 (exp.f64 b)) (neg.f64 a))
(-.f64 (+.f64 1 a) (neg.f64 (exp.f64 b)))
(-.f64 0 (-.f64 -1 (+.f64 a (exp.f64 b))))
(*.f64 1 (+.f64 1 (+.f64 a (exp.f64 b))))
(*.f64 (+.f64 1 (+.f64 a (exp.f64 b))) 1)
(*.f64 -1 (-.f64 -1 (+.f64 a (exp.f64 b))))
(*.f64 (-.f64 -1 (+.f64 a (exp.f64 b))) -1)
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(if (!=.f64 (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) 0) (/.f64 (+.f64 (.f64 (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2))))) (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2))))) (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2))))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 1 (.f64 1/2 (pow.f64 a 2))) 0) (/.f64 (-.f64 (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (-.f64 -1 (.f64 1/2 (pow.f64 a 2)))) (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 a (exp.f64 b)))) (+.f64 1 (.f64 1/2 (pow.f64 a 2)))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 a (exp.f64 b))) 1) 0) (/.f64 (-.f64 1 (.f64 (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))))) (+.f64 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 a (exp.f64 b))) 1)) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 a (exp.f64 b))) 0) (/.f64 (-.f64 (.f64 (+.f64 a (exp.f64 b)) (+.f64 a (exp.f64 b))) (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (-.f64 -1 (.f64 1/2 (pow.f64 a 2))))) (+.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 a (exp.f64 b)))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (neg.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b)))) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b)))) (.f64 a a)) (+.f64 (neg.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b))))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (neg.f64 (exp.f64 b)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 a))) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 a)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 a))) (exp.f64 (+.f64 b b))) (+.f64 (neg.f64 (exp.f64 b)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 a)))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (-.f64 -1 (exp.f64 b)) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) 0) (/.f64 (-.f64 (.f64 (+.f64 a (.f64 1/2 (pow.f64 a 2))) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) (.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (+.f64 (-.f64 -1 (exp.f64 b)) (+.f64 a (.f64 1/2 (pow.f64 a 2))))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (-.f64 -1 a) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) (.f64 (+.f64 1 a) (+.f64 1 a))) (+.f64 (-.f64 -1 a) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) 0)
(+.f64 0 (*.f64 1/2 (pow.f64 a 2)))
(-.f64 (*.f64 1/2 (pow.f64 a 2)) 0)
(-.f64 0 (*.f64 (pow.f64 a 2) -1/2))
(/.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
(/.f64 (*.f64 (pow.f64 a 2) -1/2) -1)
(/.f64 (+.f64 (.f64 (pow.f64 a 2) -1/2) (.f64 (pow.f64 a 2) -1/2)) -2)
(/.f64 (-.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/2 (.f64 (.f64 1/2 (pow.f64 a 2)) (pow.f64 a 2)))) (+.f64 1 (*.f64 (pow.f64 a 2) -1/2)))
(pow.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
(neg.f64 (*.f64 (pow.f64 a 2) -1/2))
(if (!=.f64 (.f64 (pow.f64 a 2) -1/2) 0) (/.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 1/2 (pow.f64 a 2)) -1/2)) (.f64 (pow.f64 a 2) -1/2)) (.f64 1/2 (pow.f64 a 2)))
(if (!=.f64 (.f64 1/2 (pow.f64 a 2)) 0) (/.f64 (-.f64 (.f64 1/2 (.f64 (.f64 1/2 (pow.f64 a 2)) (pow.f64 a 2))) 0) (.f64 1/2 (pow.f64 a 2))) (.f64 1/2 (pow.f64 a 2)))

Outputs
(+.f64 1 (exp.f64 b))
a
a
(+.f64 2 a)
(+.f64 a 2)
(+.f64 2 (+.f64 a b))
(+.f64 b (+.f64 a 2))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 a (+.f64 (+.f64 b (*.f64 1/2 (pow.f64 b 2))) 2))
(+.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 2 (+.f64 (+.f64 b (+.f64 (.f64 1/2 (pow.f64 b 2)) a)) (.f64 1/6 (pow.f64 b 3))))
(+.f64 2 (+.f64 (+.f64 b (+.f64 a (.f64 1/2 (pow.f64 b 2)))) (.f64 1/6 (pow.f64 b 3))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 3/2)) (pow.f64 a 2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -3/2)) (pow.f64 a 2))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 3/2)) (pow.f64 a 2))) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) 3/2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -3/2)) (pow.f64 a 2))) (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) 3/2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4))) (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (neg.f64 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))) (.f64 -8 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))))
(+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) -2) (.f64 (exp.f64 a) (.f64 -8 (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (.f64 -1 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4)))))
(+.f64 (+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (neg.f64 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4))))) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) -2) (.f64 (exp.f64 a) (-.f64 (*.f64 -8 (exp.f64 b)) 8))) (pow.f64 a 5))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4))) (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (neg.f64 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -8 (exp.f64 a)) (.f64 4 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (.f64 8 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 5)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4))) (+.f64 (+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (.f64 8 (/.f64 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) (pow.f64 a 5))) (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))))) (.f64 2 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 5)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 (exp.f64 a) -8) (.f64 4 (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (.f64 8 (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) (pow.f64 a 5)))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 2 (+.f64 a (.f64 1/2 (pow.f64 a 2))))) (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 2 (+.f64 a (.f64 1/2 (pow.f64 a 2)))) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 2 (+.f64 a (.f64 1/2 (pow.f64 a 2))))) (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))
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(-.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) (*.f64 (pow.f64 a 2) -1/2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (exp.f64 b) (+.f64 1 a)))
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(-.f64 (+.f64 1 (+.f64 (exp.f64 b) a)) (*.f64 (pow.f64 a 2) -1/2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (exp.f64 b) (+.f64 1 a)))
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(if (!=.f64 (+.f64 1 (.f64 1/2 (pow.f64 a 2))) 0) (/.f64 (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (-.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 (exp.f64 b) a))) (+.f64 1 (.f64 1/2 (pow.f64 a 2)))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (exp.f64 b) (+.f64 1 a))))
(if (!=.f64 (+.f64 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 a (exp.f64 b))) 1) 0) (/.f64 (-.f64 1 (.f64 (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))))) (+.f64 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 a (exp.f64 b))) 1)) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 (exp.f64 b) a))) 0) (/.f64 (-.f64 1 (.f64 (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))) (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 (exp.f64 b) a)))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(if (!=.f64 (-.f64 1 (+.f64 (exp.f64 b) (+.f64 a (.f64 1/2 (pow.f64 a 2))))) 0) (/.f64 (+.f64 -1 (.f64 (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 (exp.f64 b) a)) (-.f64 (.f64 (pow.f64 a 2) -1/2) (+.f64 (exp.f64 b) a)))) (+.f64 (exp.f64 b) (+.f64 -1 (+.f64 a (.f64 1/2 (pow.f64 a 2)))))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (exp.f64 b) (+.f64 1 a))))
(if (!=.f64 (+.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 a (exp.f64 b))) 0) (/.f64 (-.f64 (.f64 (+.f64 a (exp.f64 b)) (+.f64 a (exp.f64 b))) (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (-.f64 -1 (.f64 1/2 (pow.f64 a 2))))) (+.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 a (exp.f64 b)))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (exp.f64 b) (+.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) a)) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 b) a) (+.f64 (exp.f64 b) a)) (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (-.f64 -1 (.f64 1/2 (pow.f64 a 2))))) (+.f64 (exp.f64 b) (+.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) a))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(if (!=.f64 (+.f64 (exp.f64 b) (+.f64 a (-.f64 -1 (.f64 1/2 (pow.f64 a 2))))) 0) (/.f64 (+.f64 (.f64 (+.f64 (exp.f64 b) a) (+.f64 (exp.f64 b) a)) (.f64 (-.f64 -1 (.f64 1/2 (pow.f64 a 2))) (+.f64 1 (.f64 1/2 (pow.f64 a 2))))) (+.f64 (exp.f64 b) (+.f64 a (-.f64 -1 (.f64 1/2 (pow.f64 a 2)))))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (exp.f64 b) (+.f64 1 a))))
(if (!=.f64 (+.f64 (neg.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b)))) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b))) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b)))) (.f64 a a)) (+.f64 (neg.f64 a) (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (exp.f64 b))))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (.f64 1/2 (pow.f64 a 2)) (-.f64 (+.f64 1 (exp.f64 b)) a)) 0) (/.f64 (-.f64 (.f64 (+.f64 1 (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) (+.f64 1 (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))))) (.f64 a a)) (+.f64 (.f64 1/2 (pow.f64 a 2)) (-.f64 (+.f64 1 (exp.f64 b)) a))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a))))
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(if (!=.f64 (+.f64 (-.f64 -1 a) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) (.f64 (+.f64 1 a) (+.f64 1 a))) (+.f64 (-.f64 -1 a) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))))) (+.f64 (+.f64 1 (+.f64 a (exp.f64 b))) (*.f64 1/2 (pow.f64 a 2))))
(if (!=.f64 (+.f64 (exp.f64 b) (+.f64 (.f64 1/2 (pow.f64 a 2)) (-.f64 -1 a))) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) (.f64 (+.f64 1 a) (+.f64 1 a))) (+.f64 (exp.f64 b) (+.f64 (.f64 1/2 (pow.f64 a 2)) (-.f64 -1 a)))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(if (!=.f64 (+.f64 (exp.f64 b) (+.f64 (.f64 1/2 (pow.f64 a 2)) (-.f64 -1 a))) 0) (/.f64 (+.f64 (.f64 (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2))) (+.f64 (exp.f64 b) (.f64 1/2 (pow.f64 a 2)))) (.f64 (+.f64 1 a) (-.f64 -1 a))) (+.f64 (exp.f64 b) (+.f64 (.f64 1/2 (pow.f64 a 2)) (-.f64 -1 a)))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (exp.f64 b) (+.f64 1 a))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) 0)
(*.f64 1/2 (pow.f64 a 2))
(+.f64 0 (*.f64 1/2 (pow.f64 a 2)))
(*.f64 1/2 (pow.f64 a 2))
(-.f64 (*.f64 1/2 (pow.f64 a 2)) 0)
(*.f64 1/2 (pow.f64 a 2))
(-.f64 0 (*.f64 (pow.f64 a 2) -1/2))
(*.f64 1/2 (pow.f64 a 2))
(/.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
(/.f64 (*.f64 (pow.f64 a 2) -1/2) -1)
(*.f64 1/2 (pow.f64 a 2))
(/.f64 (+.f64 (.f64 (pow.f64 a 2) -1/2) (.f64 (pow.f64 a 2) -1/2)) -2)
(*.f64 1/2 (pow.f64 a 2))
(/.f64 (-.f64 (.f64 1/2 (pow.f64 a 2)) (.f64 1/2 (.f64 (.f64 1/2 (pow.f64 a 2)) (pow.f64 a 2)))) (+.f64 1 (*.f64 (pow.f64 a 2) -1/2)))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 a 2) (.f64 (pow.f64 a 2) (.f64 1/2 (pow.f64 a 2))))) (+.f64 1 (.f64 (pow.f64 a 2) -1/2)))
(pow.f64 (*.f64 1/2 (pow.f64 a 2)) 1)
(*.f64 1/2 (pow.f64 a 2))
(neg.f64 (*.f64 (pow.f64 a 2) -1/2))
(*.f64 1/2 (pow.f64 a 2))
(if (!=.f64 (.f64 (pow.f64 a 2) -1/2) 0) (/.f64 (.f64 (pow.f64 a 2) (.f64 (.f64 1/2 (pow.f64 a 2)) -1/2)) (.f64 (pow.f64 a 2) -1/2)) (.f64 1/2 (pow.f64 a 2)))
(*.f64 1/2 (pow.f64 a 2))
(if (!=.f64 (.f64 1/2 (pow.f64 a 2)) 0) (/.f64 (-.f64 (.f64 1/2 (.f64 (.f64 1/2 (pow.f64 a 2)) (pow.f64 a 2))) 0) (.f64 1/2 (pow.f64 a 2))) (.f64 1/2 (pow.f64 a 2)))
(*.f64 1/2 (pow.f64 a 2))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`rational_best-simplify-3`
810×	`rational_best-simplify-1`
798×	`rational_best-simplify-53`
476×	`rational_best-simplify-55`
460×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	26	28
2	142	28
3	955	28
4	5299	28

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (exp.f64 b) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 b) (exp.f64 (+.f64 b b))) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))) (neg.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2)) (*.f64 (exp.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 b) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (neg.f64 (exp.f64 (+.f64 b (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 (exp.f64 b) 2)) (-.f64 2 (+.f64 2 (*.f64 (exp.f64 b) 2)))) (+.f64 4 (*.f64 2 (*.f64 (+.f64 1 (exp.f64 b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (exp.f64 b)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2)) (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2))) (+.f64 (*.f64 (exp.f64 b) 2) (*.f64 (exp.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2)) (*.f64 (exp.f64 b) 2)) (*.f64 (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2)) (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2)))) (-.f64 (*.f64 (*.f64 (exp.f64 b) 2) (*.f64 (exp.f64 b) 2)) (*.f64 (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) 2)) (*.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (exp.f64 b) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b)))) (*.f64 (*.f64 (exp.f64 b) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 b) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))))) (-.f64 (*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b (+.f64 b (+.f64 b b))))) (*.f64 (*.f64 (exp.f64 b) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 b) 2) (-.f64 -1 (exp.f64 b))) (*.f64 2 (neg.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))) (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (+.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (*.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))))) (+.f64 (neg.f64 (exp.f64 (+.f64 b (+.f64 b b)))) (neg.f64 (exp.f64 (+.f64 b (+.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 (+.f64 1 (exp.f64 b)) -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 b) -1) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 b) -1)) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 b) 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (exp.f64 b)) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 b) -1)) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 (exp.f64 b)) 0) (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (exp.f64 b)) 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (+.f64 1 (exp.f64 b)))))))

simplify104.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational_best-simplify-61`
1162×	`rational_best-simplify-65`
950×	`rational_best-simplify-3`
748×	`rational_best-simplify-62`
570×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	731
1	615	731
2	3732	731

Stop Event

1×	node limit

Counts

43 → 62

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(-.f64 1 (neg.f64 (exp.f64 b)))
(-.f64 (exp.f64 b) -1)
(-.f64 (+.f64 1 (exp.f64 b)) 0)
(-.f64 0 (-.f64 -1 (exp.f64 b)))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 -1 (-.f64 -1 (exp.f64 b)))
(*.f64 (-.f64 -1 (exp.f64 b)) -1)
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (+.f64 2 (*.f64 (exp.f64 b) 2)) 2)
(/.f64 (+.f64 (exp.f64 b) (exp.f64 (+.f64 b b))) (exp.f64 b))
(/.f64 (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))) (neg.f64 (exp.f64 b)))
(/.f64 (-.f64 -1 (exp.f64 b)) -1)
(/.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (*.f64 (exp.f64 b) 2))
(/.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b))))
(/.f64 (.f64 (exp.f64 (+.f64 b b)) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (neg.f64 (exp.f64 (+.f64 b (+.f64 b b)))))
(/.f64 (.f64 (+.f64 2 (.f64 (exp.f64 b) 2)) (-.f64 2 (+.f64 2 (.f64 (exp.f64 b) 2)))) (+.f64 4 (.f64 2 (*.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 b)) -2) -2)
(/.f64 (+.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2))) (+.f64 (.f64 (exp.f64 b) 2) (.f64 (exp.f64 b) 2)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (exp.f64 b) 2)) (.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)))) (-.f64 (.f64 (.f64 (exp.f64 b) 2) (.f64 (exp.f64 b) 2)) (.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b)))) (.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))))) (-.f64 (.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b (+.f64 b (+.f64 b b))))) (.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b))))))
(/.f64 (.f64 (.f64 (exp.f64 b) 2) (-.f64 -1 (exp.f64 b))) (*.f64 2 (neg.f64 (exp.f64 b))))
(/.f64 (+.f64 (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (+.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b))))
(/.f64 (+.f64 (.f64 (exp.f64 (+.f64 b b)) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (.f64 (exp.f64 (+.f64 b b)) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))))) (+.f64 (neg.f64 (exp.f64 (+.f64 b (+.f64 b b)))) (neg.f64 (exp.f64 (+.f64 b (+.f64 b b))))))
(/.f64 (+.f64 (.f64 (+.f64 1 (exp.f64 b)) -2) (.f64 (+.f64 1 (exp.f64 b)) -2)) -4)
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(neg.f64 (-.f64 -1 (exp.f64 b)))
(if (!=.f64 (+.f64 (exp.f64 b) -1) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 b) -1)) (+.f64 1 (exp.f64 b)))
(if (!=.f64 -1 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(if (!=.f64 1 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(if (!=.f64 (exp.f64 b) 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(if (!=.f64 (-.f64 1 (exp.f64 b)) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 b) -1)) (+.f64 1 (exp.f64 b)))
(if (!=.f64 (-.f64 -1 (exp.f64 b)) 0) (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(if (!=.f64 (neg.f64 (exp.f64 b)) 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(if (!=.f64 0 0) (/.f64 0 0) (+.f64 1 (exp.f64 b)))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(-.f64 1/2 (*.f64 b 1/4))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/48 (pow.f64 b 3))))
(+.f64 (-.f64 1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 -1/4 b) (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/480 (pow.f64 b 5)))))
(+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (-.f64 1/2 (.f64 b 1/4)) (*.f64 -1/480 (pow.f64 b 5))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) 2))
(+.f64 (+.f64 b 2) (*.f64 1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 (+.f64 b (.f64 1/2 (pow.f64 b 2))) (.f64 (pow.f64 b 3) 1/6)))
(+.f64 (+.f64 b 2) (+.f64 (.f64 (pow.f64 b 3) 1/6) (.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (+.f64 (.f64 1/2 (pow.f64 b 2)) (.f64 (pow.f64 b 3) 1/6)))
(-.f64 1 (neg.f64 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(-.f64 (exp.f64 b) -1)
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 1 (exp.f64 b)) 0)
(+.f64 1 (exp.f64 b))
(-.f64 0 (-.f64 -1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(*.f64 -1 (-.f64 -1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(*.f64 (-.f64 -1 (exp.f64 b)) -1)
(+.f64 1 (exp.f64 b))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(/.f64 (+.f64 2 (*.f64 (exp.f64 b) 2)) 2)
(/.f64 (+.f64 2 (*.f64 2 (exp.f64 b))) 2)
(/.f64 (-.f64 2 (*.f64 (exp.f64 b) -2)) 2)
(/.f64 (+.f64 (exp.f64 b) (exp.f64 (+.f64 b b))) (exp.f64 b))
(+.f64 1 (exp.f64 b))
(/.f64 (*.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))) (neg.f64 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(/.f64 (-.f64 -1 (exp.f64 b)) -1)
(+.f64 1 (exp.f64 b))
(/.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (*.f64 (exp.f64 b) 2))
(/.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (.f64 2 (+.f64 1 (exp.f64 b)))) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (-.f64 2 (.f64 (exp.f64 b) -2))) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b))))
(+.f64 1 (exp.f64 b))
(/.f64 (.f64 (exp.f64 (+.f64 b b)) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (neg.f64 (exp.f64 (+.f64 b (+.f64 b b)))))
(+.f64 1 (exp.f64 b))
(/.f64 (.f64 (+.f64 2 (.f64 (exp.f64 b) 2)) (-.f64 2 (+.f64 2 (.f64 (exp.f64 b) 2)))) (+.f64 4 (.f64 2 (*.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (+.f64 2 (*.f64 2 (exp.f64 b))) 2)
(/.f64 (-.f64 2 (*.f64 (exp.f64 b) -2)) 2)
(/.f64 (*.f64 (+.f64 1 (exp.f64 b)) -2) -2)
(/.f64 (+.f64 2 (*.f64 2 (exp.f64 b))) 2)
(/.f64 (-.f64 2 (*.f64 (exp.f64 b) -2)) 2)
(/.f64 (+.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2))) (+.f64 (.f64 (exp.f64 b) 2) (.f64 (exp.f64 b) 2)))
(/.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (.f64 2 (+.f64 1 (exp.f64 b)))) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (-.f64 2 (.f64 (exp.f64 b) -2))) (*.f64 2 (exp.f64 b)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (exp.f64 b) 2)) (.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)))) (-.f64 (.f64 (.f64 (exp.f64 b) 2) (.f64 (exp.f64 b) 2)) (.f64 (.f64 (+.f64 1 (exp.f64 b)) (.f64 (exp.f64 b) 2)) (.f64 (exp.f64 b) 2))))
(/.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (.f64 2 (+.f64 1 (exp.f64 b)))) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (-.f64 2 (.f64 (exp.f64 b) -2))) (*.f64 2 (exp.f64 b)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b)))) (.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))))) (-.f64 (.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b (+.f64 b (+.f64 b b))))) (.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) (exp.f64 (+.f64 b b)))) (exp.f64 (+.f64 b (+.f64 b b))))))
(+.f64 1 (exp.f64 b))
(/.f64 (.f64 (.f64 (exp.f64 b) 2) (-.f64 -1 (exp.f64 b))) (*.f64 2 (neg.f64 (exp.f64 b))))
(/.f64 (.f64 (exp.f64 b) (.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (.f64 2 (+.f64 1 (exp.f64 b)))) (*.f64 2 (exp.f64 b)))
(/.f64 (.f64 (exp.f64 b) (-.f64 2 (.f64 (exp.f64 b) -2))) (*.f64 2 (exp.f64 b)))
(/.f64 (+.f64 (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (+.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b))))
(+.f64 1 (exp.f64 b))
(/.f64 (+.f64 (.f64 (exp.f64 (+.f64 b b)) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b)))) (.f64 (exp.f64 (+.f64 b b)) (.f64 (exp.f64 b) (-.f64 -1 (exp.f64 b))))) (+.f64 (neg.f64 (exp.f64 (+.f64 b (+.f64 b b)))) (neg.f64 (exp.f64 (+.f64 b (+.f64 b b))))))
(+.f64 1 (exp.f64 b))
(/.f64 (+.f64 (.f64 (+.f64 1 (exp.f64 b)) -2) (.f64 (+.f64 1 (exp.f64 b)) -2)) -4)
(/.f64 (+.f64 2 (*.f64 2 (exp.f64 b))) 2)
(/.f64 (-.f64 2 (*.f64 (exp.f64 b) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(neg.f64 (-.f64 -1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 (+.f64 (exp.f64 b) -1) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 b) -1)) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 -1 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 1 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 (exp.f64 b) 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 (-.f64 1 (exp.f64 b)) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 b) -1)) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 (-.f64 -1 (exp.f64 b)) 0) (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 (neg.f64 (exp.f64 b)) 0) (+.f64 1 (exp.f64 b)) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(if (!=.f64 0 0) (/.f64 0 0) (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms	a	@	0	(+.f64 1 (exp.f64 a))
0.0ms	a	@	inf	(+.f64 1 (exp.f64 a))

rewrite93.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational_best-simplify-53`
810×	`rational_best-simplify-1`
658×	`rational_best-simplify-52`
522×	`rational_best-simplify-21`
520×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	21	32
2	125	32
3	770	32
4	5204	32

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (neg.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (-.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1)) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 -1 (exp.f64 a)) (*.f64 (exp.f64 (+.f64 a a)) (-.f64 -1 (exp.f64 a)))) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 (+.f64 a a)))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a)))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (+.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)) (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (+.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (-.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (*.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (-.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (*.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))) (-.f64 (*.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (*.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2))) (*.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)))) (-.f64 4 (*.f64 -2 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (*.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))))) (-.f64 (*.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (-.f64 1 (+.f64 (exp.f64 a) 1))) (*.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (+.f64 (+.f64 (exp.f64 a) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (+.f64 (exp.f64 a) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (-.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 a) -1) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) -1)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 a) 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (exp.f64 a)) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) -1)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (exp.f64 a)) 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (+.f64 (exp.f64 a) 1))))))

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-53`
944×	`rational_best-simplify-1`
644×	`rational_best-simplify-52`
590×	`rational_best-simplify-21`
580×	`rational_best-simplify-18`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	1070
1	972	1046
2	6219	1046

Stop Event

1×	node limit

Counts

52 → 68

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(-.f64 (exp.f64 a) -1)
(-.f64 1 (neg.f64 (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) 1) 0)
(-.f64 0 (-.f64 -1 (exp.f64 a)))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 -1 (-.f64 -1 (exp.f64 a)))
(*.f64 (-.f64 -1 (exp.f64 a)) -1)
(/.f64 (+.f64 (exp.f64 a) 1) 1)
(/.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)) 2)
(/.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (exp.f64 a))
(/.f64 (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (neg.f64 (exp.f64 a)))
(/.f64 (-.f64 -1 (exp.f64 a)) -1)
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)) -2)
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))
(/.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (-.f64 1 (+.f64 (exp.f64 a) 1)))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1)) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) 1))))
(/.f64 (-.f64 (.f64 (-.f64 -1 (exp.f64 a)) (.f64 (exp.f64 (+.f64 a a)) (-.f64 -1 (exp.f64 a)))) (.f64 (+.f64 (exp.f64 a) 1) (exp.f64 (+.f64 a a)))) (neg.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))
(/.f64 (+.f64 (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))))
(/.f64 (+.f64 (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a)))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)))
(/.f64 (+.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (+.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))
(/.f64 (+.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)) (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2))) -4)
(/.f64 (+.f64 (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (+.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (-.f64 1 (+.f64 (exp.f64 a) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (.f64 (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (-.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))) (.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))) (-.f64 (.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))))
(/.f64 (-.f64 (.f64 -2 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2))) (.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)))) (-.f64 4 (*.f64 -2 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)))))
(/.f64 (-.f64 (.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (.f64 (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))))) (-.f64 (.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (-.f64 1 (+.f64 (exp.f64 a) 1))) (.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))))))
(/.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (+.f64 (+.f64 (exp.f64 a) 1) -1))
(/.f64 (neg.f64 (+.f64 (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (neg.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (-.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(neg.f64 (-.f64 -1 (exp.f64 a)))
(if (!=.f64 (+.f64 (exp.f64 a) -1) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) -1)) (+.f64 (exp.f64 a) 1))
(if (!=.f64 -1 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(if (!=.f64 (exp.f64 a) 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(if (!=.f64 (-.f64 1 (exp.f64 a)) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) -1)) (+.f64 (exp.f64 a) 1))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(if (!=.f64 1 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(if (!=.f64 (-.f64 -1 (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1))
(if (!=.f64 0 0) (/.f64 0 0) (+.f64 (exp.f64 a) 1))

Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 1/2 (+.f64 (.f64 1/4 a) (.f64 -1/48 (pow.f64 a 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 1/480 (pow.f64 a 5)) (+.f64 1/2 (*.f64 1/4 a))))
(+.f64 (+.f64 1/2 (.f64 1/4 a)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (*.f64 1/480 (pow.f64 a 5))))
(+.f64 1/2 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 1/4 a) (*.f64 1/480 (pow.f64 a 5)))))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 a (+.f64 (*.f64 1/2 (pow.f64 a 2)) 2))
(+.f64 a (+.f64 2 (*.f64 1/2 (pow.f64 a 2))))
(-.f64 (*.f64 1/2 (pow.f64 a 2)) (-.f64 -2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 a 3) 1/6) (+.f64 a 2)))
(+.f64 a (+.f64 (+.f64 2 (.f64 (pow.f64 a 3) 1/6)) (.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (.f64 (pow.f64 a 3) 1/6))))
(-.f64 (exp.f64 a) -1)
(+.f64 (exp.f64 a) 1)
(-.f64 1 (neg.f64 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(-.f64 (+.f64 (exp.f64 a) 1) 0)
(+.f64 (exp.f64 a) 1)
(-.f64 0 (-.f64 -1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(*.f64 1 (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(*.f64 -1 (-.f64 -1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(*.f64 (-.f64 -1 (exp.f64 a)) -1)
(+.f64 (exp.f64 a) 1)
(/.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(/.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)) 2)
(/.f64 (+.f64 2 (+.f64 (exp.f64 a) (exp.f64 a))) 2)
(/.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(/.f64 (*.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (neg.f64 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(/.f64 (-.f64 -1 (exp.f64 a)) -1)
(+.f64 (exp.f64 a) 1)
(/.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)) -2)
(/.f64 (+.f64 2 (+.f64 (exp.f64 a) (exp.f64 a))) 2)
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))) -1)) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))
(+.f64 (exp.f64 a) 1)
(/.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (-.f64 1 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))) -1)) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1)) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) 1)
(/.f64 (-.f64 (.f64 (-.f64 -1 (exp.f64 a)) (.f64 (exp.f64 (+.f64 a a)) (-.f64 -1 (exp.f64 a)))) (.f64 (+.f64 (exp.f64 a) 1) (exp.f64 (+.f64 a a)))) (neg.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))
(+.f64 (exp.f64 a) 1)
(/.f64 (+.f64 (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (+.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))) -1)) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (+.f64 (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a)))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(/.f64 (+.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (+.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))
(+.f64 (exp.f64 a) 1)
(/.f64 (+.f64 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)) (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2))) -4)
(/.f64 (+.f64 2 (+.f64 (exp.f64 a) (exp.f64 a))) 2)
(/.f64 (+.f64 (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (+.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (-.f64 1 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) 1)
(/.f64 (-.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (.f64 (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (-.f64 (.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))) (.f64 (+.f64 (exp.f64 a) (exp.f64 a)) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))) -1)) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))) (-.f64 (.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))) (.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))) (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))))))
(+.f64 (exp.f64 a) 1)
(/.f64 (-.f64 (.f64 -2 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2))) (.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2)))) (-.f64 4 (*.f64 -2 (-.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 2)))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 a) (exp.f64 a))) 2)
(/.f64 (-.f64 (.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (.f64 (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))))) (-.f64 (.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (-.f64 1 (+.f64 (exp.f64 a) 1))) (.f64 (-.f64 1 (+.f64 (exp.f64 a) 1)) (+.f64 (+.f64 (exp.f64 a) 1) (.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a)))))))
(+.f64 (exp.f64 a) 1)
(/.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 -1 (exp.f64 a))))) (+.f64 (+.f64 (exp.f64 a) 1) -1))
(+.f64 (exp.f64 a) 1)
(/.f64 (neg.f64 (+.f64 (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))) (.f64 (exp.f64 a) (-.f64 -1 (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(/.f64 (neg.f64 (.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a))))))) (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a a))))
(+.f64 (exp.f64 a) 1)
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))) -1)) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) (.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (-.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 a))))
(/.f64 (+.f64 (exp.f64 a) (*.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))) -1)) (+.f64 (exp.f64 a) (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 a))))) (+.f64 (exp.f64 a) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(neg.f64 (-.f64 -1 (exp.f64 a)))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 (+.f64 (exp.f64 a) -1) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) -1)) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 -1 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 (exp.f64 a) 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 (-.f64 1 (exp.f64 a)) 0) (/.f64 (+.f64 -1 (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) -1)) (+.f64 (exp.f64 a) 1))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 1 0) (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 (-.f64 -1 (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(if (!=.f64 0 0) (/.f64 0 0) (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`rational_best-simplify-111`
536×	`rational_best-simplify-115`
532×	`rational_best-simplify-126`
530×	`rational_best-simplify-124`
460×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	34	44
2	199	44
3	1358	44

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 a) (-.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (neg.f64 (exp.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 b (-.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) (neg.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 a) 1) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (+.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (+.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) (+.f64 b 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))) (-.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 (-.f64 b (exp.f64 a))) 0) (/.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (exp.f64 (+.f64 a a))) (+.f64 1 (-.f64 b (exp.f64 a)))) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (+.f64 (exp.f64 a) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 b) 0) (/.f64 (*.f64 (+.f64 1 b) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 a) (-.f64 -1 b)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (+.f64 1 b) (+.f64 1 b))) (+.f64 (exp.f64 a) (-.f64 -1 b))) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 a) (+.f64 b -1)) 0) (/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) -1) (+.f64 (exp.f64 a) (+.f64 b -1))) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 a) (-.f64 1 b)) 0) (/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (*.f64 b b)) (+.f64 (exp.f64 a) (-.f64 1 b))) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (-.f64 -1 (+.f64 (exp.f64 a) b))) (-.f64 -1 (+.f64 (exp.f64 a) b))) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (*.f64 b (-.f64 -1 (+.f64 (exp.f64 a) b))) (neg.f64 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 b) 0) (/.f64 (*.f64 (+.f64 1 b) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 a) b) 0) (/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (exp.f64 a) 1) 0) (/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (*.f64 (-.f64 -1 (exp.f64 a)) b)) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 1) 0) (/.f64 (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b))) (+.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 1)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (-.f64 -1 (exp.f64 a)) b) 0) (/.f64 (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))) (+.f64 (-.f64 -1 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 0) (/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b))) (-.f64 (neg.f64 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 -1 (exp.f64 a)) 0) (/.f64 (-.f64 (*.f64 (-.f64 -1 (exp.f64 a)) b) (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))) (-.f64 -1 (exp.f64 a))) (+.f64 (exp.f64 a) (+.f64 1 b)))))))

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

788×	`rational_best-simplify-21`
786×	`rational_best-simplify-20`
774×	`rational_best-simplify-18`
442×	`rational_best-simplify-127`
434×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	206	2976
1	1136	2934
2	7218	2934

Stop Event

1×	node limit

Counts

80 → 86

Calls

Call 1

Inputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (.f64 1/2 (/.f64 1 (+.f64 2 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (/.f64 1 (+.f64 2 b)) (.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (.f64 1/2 (/.f64 1 (+.f64 2 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 2 b))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (pow.f64 a 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (.f64 -1 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (.f64 -1 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(-.f64 (exp.f64 a) (-.f64 -1 b))
(-.f64 1 (-.f64 (neg.f64 (exp.f64 a)) b))
(-.f64 b (-.f64 -1 (exp.f64 a)))
(-.f64 (+.f64 1 b) (neg.f64 (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 0)
(-.f64 (+.f64 (exp.f64 a) b) -1)
(-.f64 (+.f64 (exp.f64 a) 1) (neg.f64 b))
(-.f64 0 (-.f64 -1 (+.f64 (exp.f64 a) b)))
(*.f64 -1 (-.f64 -1 (+.f64 (exp.f64 a) b)))
(*.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) -1)
(/.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)
(/.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) -1)
(/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) (+.f64 b 2))) -2)
(/.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))) (-.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))))
(neg.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)))
(if (!=.f64 (+.f64 1 (-.f64 b (exp.f64 a))) 0) (/.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (exp.f64 (+.f64 a a))) (+.f64 1 (-.f64 b (exp.f64 a)))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 -1 0) (+.f64 (exp.f64 a) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 1 b) 0) (/.f64 (*.f64 (+.f64 1 b) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (exp.f64 a) (-.f64 -1 b)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (+.f64 1 b) (+.f64 1 b))) (+.f64 (exp.f64 a) (-.f64 -1 b))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (exp.f64 a) (+.f64 b -1)) 0) (/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) -1) (+.f64 (exp.f64 a) (+.f64 b -1))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (exp.f64 a) (-.f64 1 b)) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (.f64 b b)) (+.f64 (exp.f64 a) (-.f64 1 b))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (-.f64 -1 (+.f64 (exp.f64 a) b))) (-.f64 -1 (+.f64 (exp.f64 a) b))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (*.f64 b (-.f64 -1 (+.f64 (exp.f64 a) b))) (neg.f64 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 -1 b) 0) (/.f64 (*.f64 (+.f64 1 b) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (exp.f64 a) b) 0) (/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (exp.f64 a) 1) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (.f64 (-.f64 -1 (exp.f64 a)) b)) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 1) 0) (/.f64 (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b))) (+.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 1)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (+.f64 (-.f64 -1 (exp.f64 a)) b) 0) (/.f64 (-.f64 (.f64 b b) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))) (+.f64 (-.f64 -1 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 0) (/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b))) (-.f64 (neg.f64 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 -1 (exp.f64 a)) 0) (/.f64 (-.f64 (.f64 (-.f64 -1 (exp.f64 a)) b) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))) (-.f64 -1 (exp.f64 a))) (+.f64 (exp.f64 a) (+.f64 1 b)))

Outputs
(/.f64 1 (+.f64 2 b))
(/.f64 1 (-.f64 b -2))
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 1 (-.f64 b -2)) (*.f64 a (-.f64 (/.f64 1 (-.f64 b -2)) (/.f64 1 (pow.f64 (-.f64 b -2) 2)))))
(+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (.f64 1/2 (/.f64 1 (+.f64 2 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (/.f64 1 (+.f64 2 b)) (.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (.f64 (/.f64 1 (+.f64 2 b)) 1/2)) (.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) 3/2))) (/.f64 1 (+.f64 2 b))))
(+.f64 (+.f64 (/.f64 1 (-.f64 b -2)) (.f64 a (-.f64 (/.f64 1 (-.f64 b -2)) (/.f64 1 (pow.f64 (-.f64 b -2) 2))))) (.f64 (pow.f64 a 2) (+.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 b -2) 3)) (.f64 (/.f64 1 (-.f64 b -2)) 1/2)) (.f64 (/.f64 1 (pow.f64 (-.f64 b -2) 2)) -3/2))))
(+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (.f64 1/2 (/.f64 1 (+.f64 2 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 2 b))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (pow.f64 a 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 (/.f64 1 (+.f64 2 b)) 1/6) (.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) 3/2)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) 2/3)))) (pow.f64 a 3)) (+.f64 (.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (.f64 (/.f64 1 (+.f64 2 b)) 1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) 3/2))) (/.f64 1 (+.f64 2 b)))))
(+.f64 (/.f64 1 (-.f64 b -2)) (+.f64 (+.f64 (.f64 a (-.f64 (/.f64 1 (-.f64 b -2)) (/.f64 1 (pow.f64 (-.f64 b -2) 2)))) (.f64 (pow.f64 a 2) (+.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 b -2) 3)) (.f64 (/.f64 1 (-.f64 b -2)) 1/2)) (.f64 (/.f64 1 (pow.f64 (-.f64 b -2) 2)) -3/2)))) (.f64 (+.f64 (+.f64 (.f64 (/.f64 1 (-.f64 b -2)) 1/6) (.f64 (/.f64 1 (pow.f64 (-.f64 b -2) 3)) 3/2)) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 b -2)) (/.f64 1 (pow.f64 (-.f64 b -2) 2))) (-.f64 b -2)) -1/2) (+.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 b -2) 2)) 2/3) (/.f64 1 (pow.f64 (-.f64 b -2) 4))))) (pow.f64 a 3))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 -1 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (neg.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (.f64 -1 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (.f64 -1 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (/.f64 (.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3)))) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 b 4))))
(+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (/.f64 (.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3))) (+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 b 4)))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (.f64 -1 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (.f64 -1 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (/.f64 (.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3)))) (.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 b 4))))
(+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (pow.f64 b 2))) (/.f64 (.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3))) (+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 b 4)))))
(+.f64 2 b)
(-.f64 b -2)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 b a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 2 (+.f64 (+.f64 b a) (*.f64 (pow.f64 a 2) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 b a)) (+.f64 (.f64 (pow.f64 a 2) 1/2) 2))
(+.f64 2 (+.f64 (.f64 (pow.f64 a 2) 1/2) (+.f64 b (+.f64 a (.f64 1/6 (pow.f64 a 3))))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 (exp.f64 a) (-.f64 -1 b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 1 (-.f64 (neg.f64 (exp.f64 a)) b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 b (-.f64 -1 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 (+.f64 1 b) (neg.f64 (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 0)
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) b) -1)
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 (+.f64 (exp.f64 a) 1) (neg.f64 b))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(-.f64 0 (-.f64 -1 (+.f64 (exp.f64 a) b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(*.f64 -1 (-.f64 -1 (+.f64 (exp.f64 a) b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(*.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) -1)
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(/.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) -1)
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) (+.f64 b 2))) -2)
(/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (+.f64 b (+.f64 2 (exp.f64 a)))) -2)
(/.f64 (+.f64 (+.f64 b (exp.f64 a)) (+.f64 2 (+.f64 b (exp.f64 a)))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))) (-.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(neg.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 1 (-.f64 b (exp.f64 a))) 0) (/.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (exp.f64 (+.f64 a a))) (+.f64 1 (-.f64 b (exp.f64 a)))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (neg.f64 (exp.f64 a)) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) (exp.f64 a)) (+.f64 1 (+.f64 b (exp.f64 a))))
(if (!=.f64 -1 0) (+.f64 (exp.f64 a) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 1 b) 0) (/.f64 (*.f64 (+.f64 1 b) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 (exp.f64 a) (-.f64 -1 b)) 0) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (+.f64 1 b) (+.f64 1 b))) (+.f64 (exp.f64 a) (-.f64 -1 b))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 (exp.f64 a) (+.f64 b -1)) 0) (/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) -1) (+.f64 (exp.f64 a) (+.f64 b -1))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 (exp.f64 a) (-.f64 1 b)) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (.f64 b b)) (+.f64 (exp.f64 a) (-.f64 1 b))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (-.f64 -1 (+.f64 (exp.f64 a) b)) 0) (/.f64 (*.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (-.f64 -1 (+.f64 (exp.f64 a) b))) (-.f64 -1 (+.f64 (exp.f64 a) b))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (*.f64 b (-.f64 -1 (+.f64 (exp.f64 a) b))) (neg.f64 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (-.f64 -1 b) 0) (/.f64 (*.f64 (+.f64 1 b) (+.f64 (exp.f64 a) (+.f64 1 b))) (+.f64 1 b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 -1 b) 0) (/.f64 (*.f64 (-.f64 -1 (+.f64 b (exp.f64 a))) (-.f64 -1 b)) (+.f64 1 b)) (+.f64 1 (+.f64 b (exp.f64 a))))
(if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (exp.f64 a) 0) (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) (exp.f64 a)) (+.f64 1 (+.f64 b (exp.f64 a))))
(if (!=.f64 (+.f64 (exp.f64 a) b) 0) (/.f64 (+.f64 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 (exp.f64 a) 1) 0) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (.f64 (-.f64 -1 (exp.f64 a)) b)) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 1) 0) (/.f64 (-.f64 1 (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b))) (+.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 1)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (+.f64 (-.f64 -1 (exp.f64 a)) b) 0) (/.f64 (-.f64 (.f64 b b) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))) (+.f64 (-.f64 -1 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(if (!=.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 0) (/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (*.f64 (+.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) b))) (-.f64 (neg.f64 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 (neg.f64 (exp.f64 a)) b) 0) (/.f64 (-.f64 (-.f64 (neg.f64 (exp.f64 a)) b) (*.f64 (+.f64 b (exp.f64 a)) (+.f64 b (exp.f64 a)))) (-.f64 (neg.f64 (exp.f64 a)) b)) (+.f64 (exp.f64 a) (+.f64 1 b)))
(if (!=.f64 (-.f64 (neg.f64 b) (exp.f64 a)) 0) (/.f64 (*.f64 (+.f64 b (exp.f64 a)) (-.f64 -1 (+.f64 b (exp.f64 a)))) (-.f64 (neg.f64 b) (exp.f64 a))) (+.f64 1 (+.f64 b (exp.f64 a))))
(if (!=.f64 (-.f64 -1 (exp.f64 a)) 0) (/.f64 (-.f64 (.f64 (-.f64 -1 (exp.f64 a)) b) (.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))) (-.f64 -1 (exp.f64 a))) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (exp.f64 a)))

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(*.f64 b (exp.f64 a))
	0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	0.5b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(*.f64 b (exp.f64 a))
1.0ms	b	@	0	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
1.0ms	a	@	inf	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
1.0ms	a	@	-inf	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
1.0ms	a	@	0	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`rational_best-simplify-52`
930×	`rational_best-simplify-53`
856×	`rational_best-simplify-56`
684×	`rational_best-simplify-1`
518×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	26	44
2	129	44
3	773	44
4	5062	44

Stop Event

1×	node limit

Counts

2 → 8

Calls

Call 1

Inputs
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(*.f64 b (exp.f64 a))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (exp.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (exp.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 b (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 b (neg.f64 (exp.f64 a))))))))

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

654×	`rational_best-simplify-124`
560×	`rational_best-simplify-61`
530×	`rational_best-simplify-65`
466×	`rational_best-simplify-113`
442×	`rational_best-simplify-96`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1450
1	311	1402
2	1708	1320

Stop Event

1×	node limit

Counts

56 → 35

Calls

Call 1

Inputs
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(*.f64 1/4 b)
(+.f64 (.f64 (-.f64 (.f64 1/8 b) (.f64 3/16 b)) (pow.f64 a 2)) (.f64 1/4 b))
(+.f64 (.f64 (-.f64 (.f64 1/8 b) (.f64 3/16 b)) (pow.f64 a 2)) (+.f64 (.f64 1/4 b) (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 1/24 b) (.f64 3/16 b)) (+.f64 (.f64 1/8 b) (*.f64 5/48 b))))))
(+.f64 (.f64 (pow.f64 a 4) (-.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 1/96 b) (.f64 5/48 b))) (+.f64 (.f64 3/4 (-.f64 (.f64 1/8 b) (.f64 3/16 b))) (+.f64 (.f64 1/24 b) (+.f64 (.f64 3/16 b) (.f64 3/64 b)))))) (+.f64 (.f64 (-.f64 (.f64 1/8 b) (.f64 3/16 b)) (pow.f64 a 2)) (+.f64 (.f64 1/4 b) (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 1/24 b) (.f64 3/16 b)) (+.f64 (.f64 1/8 b) (*.f64 5/48 b)))))))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
b
(+.f64 (*.f64 a b) b)
(+.f64 (.f64 a b) (+.f64 (.f64 1/2 (*.f64 (pow.f64 a 2) b)) b))
(+.f64 (.f64 a b) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/2 (*.f64 (pow.f64 a 2) b)) b)))
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(+.f64 (*.f64 b (exp.f64 a)) 0)
(+.f64 0 (*.f64 b (exp.f64 a)))
(-.f64 (*.f64 b (exp.f64 a)) 0)
(-.f64 0 (*.f64 b (neg.f64 (exp.f64 a))))
(/.f64 (*.f64 b (exp.f64 a)) 1)
(/.f64 (*.f64 b (neg.f64 (exp.f64 a))) -1)
(pow.f64 (*.f64 b (exp.f64 a)) 1)
(neg.f64 (*.f64 b (neg.f64 (exp.f64 a))))

Outputs
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(*.f64 1/4 b)
(*.f64 b 1/4)
(+.f64 (.f64 (-.f64 (.f64 1/8 b) (.f64 3/16 b)) (pow.f64 a 2)) (.f64 1/4 b))
(+.f64 (.f64 b 1/4) (.f64 (-.f64 (.f64 b 1/8) (.f64 b 3/16)) (pow.f64 a 2)))
(+.f64 (.f64 b 1/4) (.f64 (*.f64 b -1/16) (pow.f64 a 2)))
(+.f64 (.f64 (-.f64 (.f64 1/8 b) (.f64 3/16 b)) (pow.f64 a 2)) (+.f64 (.f64 1/4 b) (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 1/24 b) (.f64 3/16 b)) (+.f64 (.f64 1/8 b) (*.f64 5/48 b))))))
(+.f64 (.f64 b 1/4) (+.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 b 3/16) (.f64 b 1/24)) (+.f64 (.f64 b 1/8) (.f64 b 5/48)))) (.f64 (-.f64 (.f64 b 1/8) (*.f64 b 3/16)) (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b -1/16) (pow.f64 a 2)) (+.f64 (.f64 b 1/4) (.f64 (pow.f64 a 3) (-.f64 (-.f64 (.f64 b 1/24) (.f64 b -3/16)) (+.f64 (.f64 b 1/8) (.f64 b 5/48))))))
(+.f64 (.f64 b 1/4) (+.f64 (.f64 (.f64 b -1/16) (pow.f64 a 2)) (.f64 (pow.f64 a 3) (+.f64 (.f64 b 11/48) (.f64 b -11/48)))))
(+.f64 (.f64 (pow.f64 a 4) (-.f64 (+.f64 (.f64 1/8 b) (+.f64 (.f64 1/96 b) (.f64 5/48 b))) (+.f64 (.f64 3/4 (-.f64 (.f64 1/8 b) (.f64 3/16 b))) (+.f64 (.f64 1/24 b) (+.f64 (.f64 3/16 b) (.f64 3/64 b)))))) (+.f64 (.f64 (-.f64 (.f64 1/8 b) (.f64 3/16 b)) (pow.f64 a 2)) (+.f64 (.f64 1/4 b) (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 1/24 b) (.f64 3/16 b)) (+.f64 (.f64 1/8 b) (*.f64 5/48 b)))))))
(+.f64 (+.f64 (.f64 b 1/4) (+.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 b 3/16) (.f64 b 1/24)) (+.f64 (.f64 b 1/8) (.f64 b 5/48)))) (.f64 (-.f64 (.f64 b 1/8) (.f64 b 3/16)) (pow.f64 a 2)))) (.f64 (pow.f64 a 4) (-.f64 (+.f64 (.f64 b 1/8) (+.f64 (.f64 b 5/48) (.f64 b 1/96))) (+.f64 (.f64 b 1/24) (+.f64 (+.f64 (.f64 b 3/16) (.f64 b 3/64)) (.f64 (-.f64 (.f64 b 1/8) (*.f64 b 3/16)) 3/4))))))
(+.f64 (+.f64 (.f64 (.f64 b -1/16) (pow.f64 a 2)) (+.f64 (.f64 b 1/4) (.f64 (pow.f64 a 3) (-.f64 (-.f64 (.f64 b 1/24) (.f64 b -3/16)) (+.f64 (.f64 b 1/8) (.f64 b 5/48)))))) (.f64 (pow.f64 a 4) (+.f64 (+.f64 (.f64 b 1/8) (+.f64 (.f64 b 5/48) (.f64 b 1/96))) (-.f64 (.f64 (.f64 b -1/16) -3/4) (+.f64 (.f64 b 1/24) (-.f64 (.f64 b 3/64) (*.f64 b -3/16)))))))
(+.f64 (+.f64 (.f64 b 1/4) (.f64 (pow.f64 a 3) (+.f64 (.f64 b 11/48) (.f64 b -11/48)))) (+.f64 (.f64 (.f64 b -1/16) (pow.f64 a 2)) (.f64 (pow.f64 a 4) (+.f64 (.f64 b 1/8) (+.f64 (.f64 b 11/96) (+.f64 (.f64 b 3/64) (+.f64 (.f64 b -1/24) (.f64 b -15/64))))))))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
b
(+.f64 (*.f64 a b) b)
(+.f64 b (*.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 1/2 (*.f64 (pow.f64 a 2) b)) b))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 b)) (+.f64 b (*.f64 a b)))
(+.f64 b (+.f64 (.f64 a b) (.f64 (pow.f64 a 2) (*.f64 b 1/2))))
(+.f64 b (.f64 b (-.f64 (.f64 (pow.f64 a 2) 1/2) (neg.f64 a))))
(+.f64 (.f64 a b) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/2 (*.f64 (pow.f64 a 2) b)) b)))
(+.f64 (+.f64 b (.f64 (pow.f64 a 2) (.f64 1/2 b))) (+.f64 (.f64 a b) (.f64 (pow.f64 a 3) (*.f64 1/6 b))))
(+.f64 b (+.f64 (+.f64 (.f64 a b) (.f64 (pow.f64 a 2) (.f64 b 1/2))) (.f64 b (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 b (+.f64 (.f64 b (.f64 (pow.f64 a 2) 1/2)) (.f64 b (-.f64 (.f64 (pow.f64 a 3) 1/6) (neg.f64 a)))))
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(*.f64 (exp.f64 a) b)
(+.f64 (*.f64 b (exp.f64 a)) 0)
(*.f64 (exp.f64 a) b)
(+.f64 0 (*.f64 b (exp.f64 a)))
(*.f64 (exp.f64 a) b)
(-.f64 (*.f64 b (exp.f64 a)) 0)
(*.f64 (exp.f64 a) b)
(-.f64 0 (*.f64 b (neg.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) b)
(/.f64 (*.f64 b (exp.f64 a)) 1)
(*.f64 (exp.f64 a) b)
(/.f64 (*.f64 b (neg.f64 (exp.f64 a))) -1)
(*.f64 (exp.f64 a) b)
(pow.f64 (*.f64 b (exp.f64 a)) 1)
(*.f64 (exp.f64 a) b)
(neg.f64 (*.f64 b (neg.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) b)

eval404.0ms (9.4%)

Compiler: Compiled 18893 to 10482 computations (44.5% saved)

prune160.0ms (3.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	582	8	590
Fresh	1	0	1
Picked	1	0	1
Done	1	3	4
Total	585	11	596

Error

0.0b

Counts

596 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	19.6b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	44.6b	(/.f64 (exp.f64 a) b)
▶	20.4b	(/.f64 (exp.f64 a) 2)
▶	38.6b	(/.f64 1 (-.f64 b -2))
✓	13.6b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	38.6b	(-.f64 1/2 (*.f64 b 1/4))
	37.5b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
	39.4b	(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
▶	37.2b	(+.f64 1/2 (*.f64 1/4 a))
	37.5b	1/2

Compiler

Compiled 149 to 121 computations (18.8% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 b -2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(/.f64 1 (-.f64 b -2))
0.0ms	b	@	0	(/.f64 1 (-.f64 b -2))
0.0ms	b	@	-inf	(/.f64 1 (-.f64 b -2))

rewrite42.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`rational_best-simplify-124`
514×	`rational_best-simplify-126`
494×	`rational_best-simplify-111`
458×	`rational_best-simplify-96`
454×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	43	13
2	216	13
3	1475	13

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 1 (-.f64 b -2))

Outputs
()

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1024×	`rational_best-simplify-1`
1024×	`rational_best-simplify-53`
678×	`rational_best-simplify-52`
676×	`rational_best-simplify-21`
676×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	438
1	154	438
2	900	438
3	6007	438

Stop Event

1×	node limit

Counts

12 → 24

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 -1/4 b)))
(+.f64 (.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(-.f64 1/2 (*.f64 b 1/4))
(+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/4 b) (.f64 1/8 (pow.f64 b 2))))
(+.f64 (.f64 -1/4 b) (-.f64 1/2 (.f64 (pow.f64 b 2) -1/8)))
(+.f64 1/2 (-.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 b 1/4)))
(+.f64 (.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 -1/4 b) (.f64 1/8 (pow.f64 b 2))) (*.f64 -1/16 (pow.f64 b 3))))
(+.f64 (+.f64 1/2 (.f64 -1/4 b)) (+.f64 (.f64 -1/16 (pow.f64 b 3)) (*.f64 1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (.f64 -1/4 b) (+.f64 1/2 (*.f64 -1/16 (pow.f64 b 3)))))
(-.f64 (.f64 -1/16 (pow.f64 b 3)) (-.f64 (.f64 (pow.f64 b 2) -1/8) (-.f64 1/2 (*.f64 b 1/4))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 1 b) (*.f64 (/.f64 1 (pow.f64 b 2)) -2))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (.f64 (/.f64 1 (pow.f64 b 2)) -2))
(+.f64 (/.f64 1 b) (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (.f64 (/.f64 1 (pow.f64 b 2)) -2)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (-.f64 (.f64 (/.f64 1 (pow.f64 b 2)) -2) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (+.f64 (.f64 (/.f64 1 (pow.f64 b 2)) -2) (*.f64 (/.f64 1 (pow.f64 b 4)) -8))))
(+.f64 (/.f64 1 b) (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (-.f64 (.f64 (/.f64 1 (pow.f64 b 2)) -2) (*.f64 8 (/.f64 1 (pow.f64 b 4))))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 1 b) (*.f64 (/.f64 1 (pow.f64 b 2)) -2))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (.f64 (/.f64 1 (pow.f64 b 2)) -2))
(+.f64 (/.f64 1 b) (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (.f64 (/.f64 1 (pow.f64 b 2)) -2)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (.f64 4 (/.f64 1 (pow.f64 b 3)))) (-.f64 (.f64 (/.f64 1 (pow.f64 b 2)) -2) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (+.f64 (.f64 (/.f64 1 (pow.f64 b 2)) -2) (*.f64 (/.f64 1 (pow.f64 b 4)) -8))))
(+.f64 (/.f64 1 b) (+.f64 (.f64 4 (/.f64 1 (pow.f64 b 3))) (-.f64 (.f64 (/.f64 1 (pow.f64 b 2)) -2) (*.f64 8 (/.f64 1 (pow.f64 b 4))))))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 a) b)

Compiler

Compiled 10 to 4 computations (60% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(/.f64 (exp.f64 a) b)
0.0ms	a	@	0	(/.f64 (exp.f64 a) b)
0.0ms	a	@	-inf	(/.f64 (exp.f64 a) b)
0.0ms	b	@	-inf	(/.f64 (exp.f64 a) b)
0.0ms	b	@	inf	(/.f64 (exp.f64 a) b)

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational_best-simplify-61`
1144×	`rational_best-simplify-3`
750×	`rational_best-simplify-62`
676×	`rational_best-simplify-53`
620×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	87	11
3	560	11
4	3796	11

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) b)

Outputs
()

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational_best-simplify-61`
1106×	`rational_best-simplify-65`
1078×	`rational_best-simplify-96`
726×	`rational_best-simplify-3`
710×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	136
1	78	136
2	471	136
3	3122	136

Stop Event

1×	node limit

Counts

4 → 11

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (/.f64 1 b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) b)) (/.f64 1 b))))

Outputs
(/.f64 1 b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 a b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (/.f64 a b)))
(+.f64 (/.f64 a b) (+.f64 (/.f64 1 b) (*.f64 1/2 (/.f64 (pow.f64 a 2) b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 a b) (*.f64 1/2 (/.f64 (pow.f64 a 2) b))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) b)) (/.f64 1 b))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 a b) (.f64 1/6 (/.f64 (pow.f64 a 3) b)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 a b)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (.f64 1/6 (/.f64 (pow.f64 a 3) b))))
(+.f64 (/.f64 1 b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (.f64 1/6 (/.f64 (pow.f64 a 3) b)))))

eval12.0ms (0.3%)

Compiler: Compiled 547 to 421 computations (23% saved)

prune10.0ms (0.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	7	7
Total	34	12	46

Error

0.0b

Counts

46 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	19.6b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	44.6b	(/.f64 (exp.f64 a) b)
✓	20.4b	(/.f64 (exp.f64 a) 2)
✓	38.6b	(/.f64 1 (-.f64 b -2))
✓	13.6b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	61.8b	(/.f64 1 b)
✓	38.6b	(-.f64 1/2 (*.f64 b 1/4))
▶	37.5b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
▶	39.4b	(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
✓	37.2b	(+.f64 1/2 (*.f64 1/4 a))
	37.5b	1/2

Compiler

Compiled 95 to 76 computations (20% saved)

localize60.0ms (1.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
✓	0.1b	(*.f64 1/48 (pow.f64 b 3))

Compiler

Compiled 36 to 29 computations (19.4% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(*.f64 1/48 (pow.f64 b 3))
0.0ms	b	@	inf	(*.f64 1/48 (pow.f64 b 3))
0.0ms	b	@	-inf	(*.f64 1/48 (pow.f64 b 3))
0.0ms	b	@	inf	(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
0.0ms	b	@	0	(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))

rewrite72.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational_best-simplify-96`
1008×	`rational_best-simplify-61`
922×	`rational_best-simplify-65`
862×	`rational_best-simplify-3`
532×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	26	44
2	90	44
3	479	44
4	3056	44

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 1/48 (pow.f64 b 3))
(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/48 (pow.f64 b 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/48 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/48 (pow.f64 b 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 b 3) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/48 (pow.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 b 3) -1/48) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 b 3) -1/48) (*.f64 (pow.f64 b 3) -1/48)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/48 (pow.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 b 3) -1/48))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/48 (pow.f64 b 3)) (+.f64 -1/2 (*.f64 b 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b -1/4) (+.f64 -1/2 (*.f64 (pow.f64 b 3) -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (+.f64 (*.f64 b 1/4) (*.f64 (pow.f64 b 3) -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/48 (pow.f64 b 3)) 1/2) (*.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (+.f64 (*.f64 b -1/4) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 b -1/4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 b -1/4) 1/2) (*.f64 (pow.f64 b 3) -1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1/2 (*.f64 b 1/4)) (*.f64 1/48 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (+.f64 (*.f64 b -1/4) 1/2)) 1)))) (#(struct:change #<rule 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simplify124.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1038×	`rational_best-simplify-3`
918×	`rational_best-simplify-1`
706×	`rational_best-simplify-53`
476×	`rational_best-simplify-21`
472×	`rational_best-simplify-18`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	2212
1	764	2188
2	5394	2188

Stop Event

1×	node limit

Counts

62 → 69

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(*.f64 1/48 (pow.f64 b 3))
(+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(*.f64 1/48 (pow.f64 b 3))
(+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 (*.f64 1/48 (pow.f64 b 3)) 0)
(+.f64 0 (*.f64 1/48 (pow.f64 b 3)))
(-.f64 (*.f64 1/48 (pow.f64 b 3)) 0)
(-.f64 0 (*.f64 (pow.f64 b 3) -1/48))
(/.f64 (*.f64 1/48 (pow.f64 b 3)) 1)
(/.f64 (*.f64 (pow.f64 b 3) -1/48) -1)
(/.f64 (+.f64 (.f64 (pow.f64 b 3) -1/48) (.f64 (pow.f64 b 3) -1/48)) -2)
(pow.f64 (*.f64 1/48 (pow.f64 b 3)) 1)
(neg.f64 (*.f64 (pow.f64 b 3) -1/48))
(-.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 -1/2 (.f64 b 1/4)))
(-.f64 (.f64 b -1/4) (+.f64 -1/2 (.f64 (pow.f64 b 3) -1/48)))
(-.f64 1/2 (+.f64 (.f64 b 1/4) (.f64 (pow.f64 b 3) -1/48)))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) 1/2) (.f64 b 1/4))
(-.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) 0)
(-.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 b -1/4)) -1/2)
(-.f64 (+.f64 (.f64 b -1/4) 1/2) (.f64 (pow.f64 b 3) -1/48))
(-.f64 0 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))))
(.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (*.f64 b -1/4) 1/2)) 1)
(.f64 -1 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (*.f64 1/48 (pow.f64 b 3))))
(.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (*.f64 1/48 (pow.f64 b 3))) -1)
(/.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) 1)
(/.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))) -1)
(/.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))) (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3)))) -2)
(/.f64 (-.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)))) (+.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (*.f64 1/48 (pow.f64 b 3))) 1))
(/.f64 (+.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))) (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3)))) (+.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))) (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))))) -4)
(/.f64 (+.f64 (-.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)))) (-.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2))))) (+.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))) 1) (+.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))) 1)))
(pow.f64 (+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 (.f64 b -1/4) 1/2)) 1)
(neg.f64 (-.f64 (+.f64 -1/2 (.f64 b 1/4)) (.f64 1/48 (pow.f64 b 3))))
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Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 (.f64 1/48 (pow.f64 b 3)) (+.f64 1/2 (.f64 -1/4 b)))
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(*.f64 1/48 (pow.f64 b 3))
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(*.f64 1/48 (pow.f64 b 3))
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localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
✓	0.1b	(*.f64 -1/48 (pow.f64 a 3))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series1.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	inf	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	-inf	(*.f64 -1/48 (pow.f64 a 3))
0.0ms	a	@	inf	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
0.0ms	a	@	0	(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))

rewrite74.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational_best-simplify-96`
1008×	`rational_best-simplify-61`
920×	`rational_best-simplify-65`
850×	`rational_best-simplify-3`
526×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	26	44
2	90	44
3	478	44
4	3049	44

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 a 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) 1/48) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/48) (*.f64 (pow.f64 a 3) 1/48)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 -1/48 (pow.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/48) (*.f64 (pow.f64 a 3) 1/48)) (+.f64 (*.f64 (pow.f64 a 3) 1/48) (*.f64 (pow.f64 a 3) 1/48))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 -1/48 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 (pow.f64 a 3) 1/48) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 -1/48 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 -1/48 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 3) 1/48))))) (+.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/48) 1) (+.f64 (*.f64 (pow.f64 a 3) 1/48) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 a 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 a 3) 1/48) 0) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/48 (pow.f64 a 3)) 0) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/48 (pow.f64 a 3)) 0) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (*.f64 -1/48 (pow.f64 a 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (*.f64 -1/48 (pow.f64 a 3)) (*.f64 -1/48 (pow.f64 a 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (*.f64 a -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a 1/4) (+.f64 -1/2 (*.f64 (pow.f64 a 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (*.f64 a -1/4)) (*.f64 (pow.f64 a 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 a 1/4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2) (*.f64 a -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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-1/48 (pow.f64 a 3))) 1) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/2 (+.f64 (*.f64 a 1/4) (*.f64 (pow.f64 a 3) 1/48))) 0) (/.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 a -1/4)) (-.f64 1/2 (*.f64 a -1/4))) (*.f64 -1/48 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (+.f64 (*.f64 a 1/4) (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1/2 0) (/.f64 (+.f64 -1/4 (*.f64 1/2 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))))) -1/2) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 a 3) 1/48) 0) (/.f64 (*.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4)))) (*.f64 -1/48 (pow.f64 a 3))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a 1/4) 0) (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) (*.f64 a -1/4)) (*.f64 a -1/4)) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1/2 (*.f64 a -1/4)) 0) (/.f64 (*.f64 (+.f64 -1/2 (*.f64 a -1/4)) (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3)))) (-.f64 1/2 (*.f64 a -1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (*.f64 a -1/4))) 0) (/.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 a -1/4)) (-.f64 1/2 (*.f64 a -1/4))) (*.f64 -1/48 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (+.f64 (*.f64 a 1/4) (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 -1/2 (*.f64 a -1/4))) 0) (/.f64 (+.f64 -1/4 (*.f64 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))) (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 -1/2 (*.f64 a -1/4)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 a -1/4))) 0) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2)) (*.f64 (*.f64 a 1/4) (*.f64 a -1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 a -1/4)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a -1/4) 0) (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) (*.f64 a -1/4)) (*.f64 a -1/4)) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/48 (pow.f64 a 3)) 0) (/.f64 (*.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4)))) (*.f64 -1/48 (pow.f64 a 3))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 -1/2 (*.f64 a -1/4)) 0) (/.f64 (*.f64 (+.f64 -1/2 (*.f64 a -1/4)) (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3)))) (-.f64 1/2 (*.f64 a -1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/2 0) (/.f64 (+.f64 -1/4 (*.f64 1/2 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))))) -1/2) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 0 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))))) 0) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 a 1/4)) 0) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))) (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 a 1/4)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 a 1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2) 0) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2)) (*.f64 (*.f64 a 1/4) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2)) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/2 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3)))) 0) (/.f64 (-.f64 1/4 (*.f64 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))) (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))))) (+.f64 1/2 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 a 1/4) (+.f64 -1/2 (*.f64 (pow.f64 a 3) 1/48))) 0) (/.f64 (+.f64 (*.f64 (*.f64 a -1/4) (*.f64 a -1/4)) (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 -1/2 (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 a 1/4) (+.f64 -1/2 (*.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))) (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (-.f64 (*.f64 0 (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))) (-.f64 (+.f64 -1/2 (*.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3))) (-.f64 (*.f64 a -1/4) (*.f64 -1/48 (pow.f64 a 3)))) (*.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 a 1/4)))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 a 1/4))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 -1/2 (*.f64 (pow.f64 a 3) 1/48)) 0) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2)) (*.f64 (*.f64 a 1/4) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2))) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 1/2)) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))))))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1078×	`rational_best-simplify-3`
956×	`rational_best-simplify-1`
786×	`rational_best-simplify-53`
474×	`rational_best-simplify-47`
472×	`rational_best-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1989
1	854	1971
2	5646	1951

Stop Event

1×	node limit

Counts

65 → 73

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(-.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(-.f64 0 (*.f64 (pow.f64 a 3) 1/48))
(/.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(/.f64 (*.f64 (pow.f64 a 3) 1/48) -1)
(/.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 (pow.f64 a 3) 1/48)) -2)
(/.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (pow.f64 a 3))) 2)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 (pow.f64 a 3) 1/48)) (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 (pow.f64 a 3) 1/48))) -4)
(/.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 (pow.f64 a 3) 1/48) 1))
(/.f64 (+.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48))))) (+.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) 1) (+.f64 (.f64 (pow.f64 a 3) 1/48) 1)))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(neg.f64 (*.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (.f64 (pow.f64 a 3) 1/48) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (.f64 -1/48 (pow.f64 a 3)))) (.f64 -1/48 (pow.f64 a 3)))
(if (!=.f64 (.f64 -1/48 (pow.f64 a 3)) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (.f64 -1/48 (pow.f64 a 3)))) (.f64 -1/48 (pow.f64 a 3)))
(if (!=.f64 (.f64 -1/48 (pow.f64 a 3)) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (*.f64 -1/48 (pow.f64 a 3)))) 0)
(if (!=.f64 0 0) (/.f64 0 0) (*.f64 -1/48 (pow.f64 a 3)))
(if (!=.f64 -1 0) (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (pow.f64 a 3)))
(-.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (.f64 a -1/4)))
(-.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))
(-.f64 (.f64 a 1/4) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) 0)
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)) -1/2)
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))
(-.f64 0 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))
(.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) 1)
(.f64 -1 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))))
(.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) -1)
(/.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) 1)
(/.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) -1)
(/.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) -2)
(/.f64 (-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) 1))
(/.f64 (+.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))) -4)
(/.f64 (+.f64 (-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))))) (+.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 1) (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 1)))
(pow.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) 1)
(neg.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))
(if (!=.f64 (+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) 1/48))) 0) (/.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 a -1/4)) (-.f64 1/2 (.f64 a -1/4))) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 -1/2 0) (/.f64 (+.f64 -1/4 (.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) -1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 (.f64 (pow.f64 a 3) 1/48) 0) (/.f64 (.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))) (.f64 -1/48 (pow.f64 a 3))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (.f64 a 1/4) 0) (/.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 a -1/4)) (.f64 a -1/4)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (-.f64 1/2 (.f64 a -1/4)) 0) (/.f64 (.f64 (+.f64 -1/2 (.f64 a -1/4)) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 a -1/4)) (-.f64 1/2 (.f64 a -1/4))) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 -1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 -1/4 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 -1/2 (.f64 a -1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (.f64 (.f64 a 1/4) (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 a -1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (.f64 a -1/4) 0) (/.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 a -1/4)) (.f64 a -1/4)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (.f64 -1/48 (pow.f64 a 3)) 0) (/.f64 (.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))) (.f64 -1/48 (pow.f64 a 3))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 -1/2 (.f64 a -1/4)) 0) (/.f64 (.f64 (+.f64 -1/2 (.f64 a -1/4)) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 1/2 0) (/.f64 (+.f64 -1/4 (.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) -1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)) 0) (/.f64 (+.f64 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3)))) (.f64 1/2 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (.f64 (.f64 a 1/4) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3)))) 0) (/.f64 (-.f64 1/4 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) (+.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 a 1/4) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48))) 0) (/.f64 (+.f64 (.f64 (.f64 a -1/4) (.f64 a -1/4)) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 a 1/4) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (+.f64 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3)))) (.f64 1/2 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (.f64 (.f64 a 1/4) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))

Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 a -1/4))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 0 (*.f64 (pow.f64 a 3) 1/48))
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (*.f64 (pow.f64 a 3) 1/48) -1)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 (pow.f64 a 3) 1/48)) -2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (pow.f64 a 3))) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 (pow.f64 a 3) 1/48)) (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 (pow.f64 a 3) 1/48))) -4)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (*.f64 (pow.f64 a 3) 1/48) 1))
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (+.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48))))) (+.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) 1) (+.f64 (.f64 (pow.f64 a 3) 1/48) 1)))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(*.f64 -1/48 (pow.f64 a 3))
(neg.f64 (*.f64 (pow.f64 a 3) 1/48))
(*.f64 -1/48 (pow.f64 a 3))
(if (!=.f64 (.f64 (pow.f64 a 3) 1/48) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (.f64 -1/48 (pow.f64 a 3)))) (.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(if (!=.f64 (.f64 -1/48 (pow.f64 a 3)) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (.f64 -1/48 (pow.f64 a 3)))) (.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(if (!=.f64 (.f64 -1/48 (pow.f64 a 3)) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (/.f64 0 (*.f64 -1/48 (pow.f64 a 3)))) 0)
(*.f64 -1/48 (pow.f64 a 3))
(if (!=.f64 0 0) (/.f64 0 0) (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(if (!=.f64 -1 0) (.f64 -1/48 (pow.f64 a 3)) (.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (.f64 a -1/4)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 (.f64 a 1/4) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) 0)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)) -1/2)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(-.f64 0 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))) 1)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(.f64 -1 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) -1)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) 1)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) -1)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) -2)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (*.f64 -1/48 (pow.f64 a 3))) 1))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (+.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))) 2)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (+.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))) -4)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(/.f64 (+.f64 (-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))))) (+.f64 (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 1) (+.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 1)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(pow.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) 1)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(neg.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) 1/48))) 0) (/.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 a -1/4)) (-.f64 1/2 (.f64 a -1/4))) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 -1/2 0) (/.f64 (+.f64 -1/4 (.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) -1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (.f64 (pow.f64 a 3) 1/48) 0) (/.f64 (.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))) (.f64 -1/48 (pow.f64 a 3))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (.f64 a 1/4) 0) (/.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 a -1/4)) (.f64 a -1/4)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (.f64 1/4 a) 0) (/.f64 (.f64 a (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) -1/4)) (.f64 a -1/4)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (.f64 1/4 a) 0) (/.f64 (.f64 (.f64 a -1/4) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))) (.f64 a -1/4)) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48)))
(if (!=.f64 (-.f64 1/2 (.f64 a -1/4)) 0) (/.f64 (.f64 (+.f64 -1/2 (.f64 a -1/4)) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 (.f64 (-.f64 1/2 (.f64 a -1/4)) (-.f64 1/2 (.f64 a -1/4))) (.f64 -1/48 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (+.f64 (.f64 a 1/4) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 (.f64 (pow.f64 a 3) (.f64 -1/48 (.f64 (pow.f64 a 3) 1/48))) (.f64 (-.f64 1/2 (.f64 a -1/4)) (-.f64 1/2 (.f64 a -1/4)))) (+.f64 1/2 (+.f64 (.f64 (pow.f64 a 3) 1/48) (.f64 1/4 a)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 -1/2 (.f64 a -1/4))) 0) (/.f64 (-.f64 (.f64 (+.f64 -1/2 (.f64 a -1/4)) (+.f64 -1/2 (.f64 a -1/4))) (pow.f64 (.f64 -1/48 (pow.f64 a 3)) 2)) (+.f64 (.f64 (pow.f64 a 3) 1/48) (-.f64 1/2 (.f64 a -1/4)))) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48)))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 -1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 -1/4 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 -1/2 (.f64 a -1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 a -1/4))) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (.f64 (.f64 a 1/4) (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 a -1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (.f64 a -1/4) 0) (/.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (.f64 a -1/4)) (.f64 a -1/4)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (.f64 -1/48 (pow.f64 a 3)) 0) (/.f64 (.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))) (.f64 -1/48 (pow.f64 a 3))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 -1/2 (.f64 a -1/4)) 0) (/.f64 (.f64 (+.f64 -1/2 (.f64 a -1/4)) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 1/2 0) (/.f64 (+.f64 -1/4 (.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) -1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(if (!=.f64 1/2 0) (/.f64 (+.f64 -1/4 (-.f64 (.f64 a -1/8) (.f64 (pow.f64 a 3) -1/96))) -1/2) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))))) 0) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)) 0) (/.f64 (+.f64 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3)))) (.f64 1/2 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (.f64 (.f64 a 1/4) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3)))) 0) (/.f64 (-.f64 1/4 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) (+.f64 1/2 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 (.f64 a 1/4) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48))) 0) (/.f64 (+.f64 (.f64 (.f64 a -1/4) (.f64 a -1/4)) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 a 1/4) (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (*.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))) (-.f64 (+.f64 -1/2 (.f64 a -1/4)) (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) 0) (/.f64 (+.f64 (.f64 (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3))) (-.f64 (.f64 a -1/4) (.f64 -1/48 (pow.f64 a 3)))) (.f64 1/2 (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (.f64 a 1/4))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4)))
(-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48))
(if (!=.f64 (+.f64 -1/2 (.f64 (pow.f64 a 3) 1/48)) 0) (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (.f64 (.f64 a 1/4) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2)) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) -1/2) 0) (/.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3))) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3)))) (.f64 (.f64 1/4 a) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3))))) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3)))) (+.f64 (.f64 -1/48 (pow.f64 a 3)) (-.f64 1/2 (.f64 a -1/4))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) -1/2) 0) (/.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3))) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3)))) (.f64 (.f64 1/4 a) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3))))) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3)))) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) -1/2) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (pow.f64 a 3) 1/48) -1/2) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48)))) (+.f64 1/2 (.f64 -1/48 (pow.f64 a 3)))) (-.f64 (-.f64 1/2 (.f64 a -1/4)) (.f64 (pow.f64 a 3) 1/48)))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval94.0ms (2.2%)

Compiler: Compiled 4545 to 3797 computations (16.5% saved)

prune28.0ms (0.7%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	141	13	154

Error

0.0b

Counts

154 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	19.6b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	44.6b	(/.f64 (exp.f64 a) b)
✓	20.4b	(/.f64 (exp.f64 a) 2)
✓	38.6b	(/.f64 1 (-.f64 b -2))
✓	13.6b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	61.8b	(/.f64 1 b)
	37.5b	(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))
✓	38.6b	(-.f64 1/2 (*.f64 b 1/4))
✓	39.4b	(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
✓	37.2b	(+.f64 1/2 (*.f64 1/4 a))
	55.4b	(*.f64 -1/48 (pow.f64 a 3))
	37.5b	1/2

Compiler

Compiled 102 to 82 computations (19.6% saved)

regimes47.0ms (1.1%)

Counts

18 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))
(/.f64 (exp.f64 a) 2)
(/.f64 (exp.f64 a) b)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)))))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

5 calls:

15.0ms	(exp.f64 b)
10.0ms	a
10.0ms	b
3.0ms	(exp.f64 a)
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.5b	1	`a`
0.5b	1	`b`
0.5b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.5b	1	`(exp.f64 a)`
0.5b	1	`(exp.f64 b)`

Compiler

Compiled 261 to 169 computations (35.2% saved)

regimes55.0ms (1.3%)

Counts

14 → 3

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))
(/.f64 (exp.f64 a) 2)
(/.f64 (exp.f64 a) b)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

23.0ms	b
16.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.0b	2	`a`
0.1b	3	`b`
1.0b	2	`(exp.f64 a)`
0.1b	3	`(exp.f64 b)`

Compiler

Compiled 103 to 74 computations (28.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000302147	1.000023251468907
0.0ms	1.2766070374225002e-5	0.9737012794376667

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (1.2%)

Counts

13 → 3

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))
(/.f64 (exp.f64 a) 2)
(/.f64 (exp.f64 a) b)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

21.0ms	b
15.0ms	a
8.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.0b	2	`a`
0.3b	3	`b`
1.0b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 94 to 70 computations (25.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000302147	1.000023251468907
0.0ms	1.2766070374225002e-5	0.9737012794376667

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (1.2%)

Counts

12 → 2

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))
(/.f64 (exp.f64 a) 2)
(/.f64 (exp.f64 a) b)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 -1/4 b) (+.f64 1/2 (.f64 1/48 (pow.f64 b 3))))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(-.f64 (+.f64 (.f64 -1/48 (pow.f64 a 3)) 1/2) (.f64 a -1/4))

Outputs
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

22.0ms	b
16.0ms	a
7.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.0b	2	`a`
1.1b	3	`b`
1.0b	2	`(exp.f64 a)`
1.1b	3	`(exp.f64 b)`

Compiler

Compiled 87 to 67 computations (23% saved)

bsearch16.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-360808388794.4789	-682462.1557607218

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 159 to 136 computations (14.5% saved)

regimes31.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))
(/.f64 (exp.f64 a) 2)
(/.f64 (exp.f64 a) b)
(*.f64 -1/48 (pow.f64 a 3))

Outputs
(/.f64 (exp.f64 a) 2)
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (exp.f64 a) b)

Calls

3 calls:

21.0ms	b
5.0ms	a
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
20.4b	1	`a`
16.8b	3	`b`
20.4b	1	`(exp.f64 a)`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch29.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	7.292319967732191e+89	2.1379774261973647e+92
15.0ms	40.853926668413216	121944.0248938596

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 255 to 210 computations (17.6% saved)

regimes15.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))
(/.f64 (exp.f64 a) 2)
(/.f64 (exp.f64 a) b)

Outputs
(/.f64 (exp.f64 a) 2)

Calls

3 calls:

7.0ms	b
5.0ms	a
2.0ms	(exp.f64 a)

Results

Error	Segments	Branch
20.4b	1	`a`
20.4b	1	`b`
20.4b	1	`(exp.f64 a)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes14.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1/2 (*.f64 b 1/4))
(/.f64 1 (-.f64 b -2))

Outputs
(+.f64 1/2 (*.f64 1/4 a))

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
37.2b	1	`a`
37.2b	1	`b`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes6.0ms (0.2%)

Accuracy

Total -24.7b remaining (-66%)

Threshold costs -24.7b (-66%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 b)

Outputs
1/2

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
37.5b	1	`a`
37.5b	1	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	308

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 5902958103587057/295147905179352825856) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 5902958103587057/295147905179352825856) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -700000) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 800) (/.f64 (exp.f64 a) 2) (if (<=.f64 b 6099999999999999671167054203931533501269491112681302053921148703542421856406936736187285504) (*.f64 -1/48 (pow.f64 a 3)) (/.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) 2)
(+.f64 1/2 (*.f64 1/4 a))
1/2

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 5902958103587057/295147905179352825856) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 5902958103587057/295147905179352825856) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -700000) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 800) (/.f64 (exp.f64 a) 2) (if (<=.f64 b 6099999999999999671167054203931533501269491112681302053921148703542421856406936736187285504) (*.f64 -1/48 (pow.f64 a 3)) (/.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) 2)
(+.f64 1/2 (*.f64 1/4 a))
1/2

Compiler

Compiled 129 to 92 computations (28.7% saved)

soundness71.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational_best-simplify-61`
876×	`rational_best-simplify-3`
844×	`rational_best-simplify-1`
668×	`rational_best-simplify-53`
612×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1806
1	750	1786
2	4422	1746

Stop Event

1×	node limit

Compiler

Compiled 29 to 15 computations (48.3% saved)

end162.0ms (3.8%)

Compiler: Compiled 115 to 70 computations (39.1% saved)

Details

analyze20.0ms (0.5%)

sample922.0ms (21.5%)

preprocess42.0ms (1%)

simplify79.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite86.0ms (2%)

simplify75.0ms (1.7%)

eval29.0ms (0.7%)

prune17.0ms (0.4%)

localize20.0ms (0.5%)

series7.0ms (0.2%)

rewrite132.0ms (3.1%)

simplify168.0ms (3.9%)

localize6.0ms (0.1%)

series2.0ms (0.1%)

rewrite79.0ms (1.8%)

simplify104.0ms (2.4%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite93.0ms (2.2%)

simplify83.0ms (1.9%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.4%)

simplify96.0ms (2.2%)

localize22.0ms (0.5%)

series8.0ms (0.2%)

rewrite79.0ms (1.8%)

simplify54.0ms (1.3%)

eval404.0ms (9.4%)

prune160.0ms (3.7%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite42.0ms (1%)

simplify77.0ms (1.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite62.0ms (1.4%)

simplify54.0ms (1.3%)

eval12.0ms (0.3%)

prune10.0ms (0.2%)

localize60.0ms (1.4%)

series2.0ms (0%)

rewrite72.0ms (1.7%)

simplify124.0ms (2.9%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite74.0ms (1.7%)

simplify87.0ms (2%)

localize3.0ms (0.1%)

eval94.0ms (2.2%)

prune28.0ms (0.7%)

regimes47.0ms (1.1%)

regimes55.0ms (1.3%)

bsearch0.0ms (0%)

regimes51.0ms (1.2%)

bsearch0.0ms (0%)

regimes51.0ms (1.2%)

bsearch16.0ms (0.4%)

regimes31.0ms (0.7%)

bsearch29.0ms (0.7%)

regimes15.0ms (0.4%)

regimes14.0ms (0.3%)

regimes6.0ms (0.2%)

simplify9.0ms (0.2%)

soundness71.0ms (1.7%)

end162.0ms (3.8%)

Profiling