Details

analyze415.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12

Compiler

Compiled 53 to 45 computations (15.1% saved)

sample2.2s (17.3%)

Results

2.2s

8256×

body

256

valid

preprocess86.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

976×	`fma-def_binary64`
668×	`div-sub_binary64`
343×	`unsub-neg_binary64`
342×	`times-frac_binary64`
289×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	117	48
4	364	48
5	1554	42
6	5619	42
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Outputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))))
(/.f64 (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 1) (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 53 to 45 computations (15.1% saved)

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
668×	`div-sub_binary64`
343×	`unsub-neg_binary64`
342×	`times-frac_binary64`
289×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	117	48
4	364	48
5	1554	42
6	5619	42

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Outputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))))
(/.f64 (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 1) (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

eval2.0ms (0%)

Compiler: Compiled 81 to 69 computations (14.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
▶	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Status

Error

Program

▶

0.0b

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

▶

0.0b

(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 82 to 70 computations (14.6% saved)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	2.6b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 159 to 131 computations (17.6% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
1.0ms	t	@	inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0ms	t	@	-inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`prod-diff_binary64`
419×	`fma-def_binary64`
344×	`log-div_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	314	94
2	4717	94

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2) (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3))) (/.f64 1 (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4) (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3))) (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3)))) (neg.f64 (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2))) (neg.f64 (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 3)) (+.f64 4 (-.f64 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 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simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

548×	`distribute-rgt-out_binary64`
471×	`fma-def_binary64`
363×	`sub-neg_binary64`
347×	`associate-l_binary64`
329×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	647
1	273	638
2	756	621
3	2102	606
4	5487	593

Stop Event

1×	node limit

Counts

199 → 207

Calls

Call 1

Inputs
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))

Outputs
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (.f64 -2 (.f64 t t)))
(fma.f64 2 t (.f64 t (.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (.f64 t t) (.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (.f64 t (.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (*.f64 t (fma.f64 t -2 2)))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (.f64 t t) (fma.f64 -2 (pow.f64 t 4) (.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (+.f64 (.f64 2 (pow.f64 t 3)) (.f64 -2 (fma.f64 t t (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(.f64 (fma.f64 t t 1) (.f64 t (fma.f64 t -2 2)))
(*.f64 (fma.f64 t -2 2) (+.f64 t (pow.f64 t 3)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) -2)))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) -2)))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (.f64 2 (.f64 t t))))
(+.f64 2 (fma.f64 2 (.f64 t t) (.f64 t -2)))
(fma.f64 2 (*.f64 t t) (fma.f64 t -2 2))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (.f64 2 (.f64 t t)))))
(+.f64 (fma.f64 2 (.f64 t t) (.f64 t -2)) (fma.f64 -2 (pow.f64 t 3) 2))
(+.f64 (fma.f64 t -2 2) (.f64 t (.f64 t (fma.f64 t -2 2))))
(*.f64 (fma.f64 t t 1) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4)))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (+.f64 (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))) (/.f64 -2 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 -2 (pow.f64 t 4)) (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4)))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (+.f64 (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))) (/.f64 -2 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 -2 (pow.f64 t 4)) (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (pow.f64 t 4))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 t))
✓	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.1b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)

Compiler

Compiled 79 to 67 computations (15.2% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
1.0ms	t	@	-inf	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
1.0ms	t	@	inf	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
1.0ms	t	@	inf	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
1.0ms	t	@	0	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

rewrite165.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
312×	`pow2_binary64`
276×	`fma-def_binary64`
262×	`pow-prod-down_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	264	57
2	3214	57

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

Inputs
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
(+.f64 (/.f64 2 (+.f64 1 t)) -4)
(/.f64 2 (+.f64 1 t))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (+.f64 1 t)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 t)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 t)) 1 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) (sqrt.f64 (/.f64 2 (+.f64 1 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 (neg.f64 t) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 2 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -4)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 t)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) (sqrt.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1 (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 (.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (+.f64 1 t) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8 (pow.f64 (+.f64 1 t) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1 t) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (+.f64 1 t) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4 (pow.f64 (+.f64 1 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8 (pow.f64 (+.f64 1 t) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 1) (log1p.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 1) (log1p.f64 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 1) (log1p.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 8) (.f64 3 (log1p.f64 t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 t) (log.f64 1/2)) -1))))))

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-/l*_binary64`
348×	`sub-neg_binary64`
342×	`fma-def_binary64`
275×	`distribute-neg-frac_binary64`
268×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	622
1	210	612
2	586	600
3	1733	592
4	4341	592

Stop Event

1×	node limit

Counts

186 → 193

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
-2
(-.f64 (*.f64 -2 t) 2)
(-.f64 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))) 2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) 2)
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))

Outputs
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(+.f64 (fma.f64 4 (.f64 t t) 1) (.f64 -8 (pow.f64 t 3)))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1))
(+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (+.f64 5 (/.f64 -8 t)) (.f64 (/.f64 1 (.f64 t t)) (-.f64 12 (/.f64 16 t))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (+.f64 5 (/.f64 -8 t)) (.f64 (/.f64 1 (.f64 t t)) (-.f64 12 (/.f64 16 t))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 2)
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(+.f64 2 (fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3))))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 2))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 2 (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
-2
(-.f64 (*.f64 -2 t) 2)
(fma.f64 -2 t -2)
(fma.f64 t -2 -2)
(-.f64 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))) 2)
(+.f64 (fma.f64 -2 t (.f64 2 (.f64 t t))) -2)
(fma.f64 t -2 (fma.f64 2 (*.f64 t t) -2))
(fma.f64 t -2 (fma.f64 t (*.f64 t 2) -2))
(fma.f64 t (+.f64 -2 (*.f64 t 2)) -2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) 2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 -2 t (.f64 2 (.f64 t t)))) -2)
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t -2 (fma.f64 2 (*.f64 t t) -2)))
(fma.f64 -2 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t 2) -2))
(+.f64 -2 (.f64 t (+.f64 -2 (.f64 t (fma.f64 t -2 2)))))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(+.f64 (/.f64 2 t) -4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (/.f64 2 t) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (*.f64 t t)) -4))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) -4))
(-.f64 (/.f64 2 t) (-.f64 4 (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 4 (/.f64 2 (*.f64 t t)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) -4)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) -4)))
(+.f64 (/.f64 2 t) (+.f64 -4 (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t))))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(+.f64 (/.f64 2 t) -4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (/.f64 2 t) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (*.f64 t t)) -4))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) -4))
(-.f64 (/.f64 2 t) (-.f64 4 (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 4 (/.f64 2 (*.f64 t t)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) -4)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) -4)))
(+.f64 (/.f64 2 t) (+.f64 -4 (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (.f64 2 (.f64 t t))))
(+.f64 (.f64 t (.f64 t 2)) (fma.f64 t -2 2))
(fma.f64 t (*.f64 t 2) (fma.f64 t -2 2))
(fma.f64 t -2 (fma.f64 t (*.f64 t 2) 2))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (.f64 2 (.f64 t t)))))
(+.f64 (fma.f64 t -2 (.f64 t (.f64 t 2))) (fma.f64 (pow.f64 t 3) -2 2))
(+.f64 (fma.f64 t -2 2) (.f64 (.f64 t t) (fma.f64 t -2 2)))
(.f64 (+.f64 1 (.f64 t t)) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 t))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t)))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 4))) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t))) (/.f64 -2 (pow.f64 t 4)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 2 (/.f64 -2 t))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 t))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t)))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 4))) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t))) (/.f64 -2 (pow.f64 t 4)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 2 (/.f64 -2 t))))

eval1.4s (11%)

Compiler: Compiled 45211 to 38519 computations (14.8% saved)

prune221.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	962	11	973
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	962	13	975

Error

Counts

975 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	27.6b	5/6
▶	30.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
	25.7b	1/2
	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
▶	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	30.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))
▶	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
	30.7b	(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
▶	30.2b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
	32.6b	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	30.6b	(fma.f64 t t 1/2)
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 522 to 428 computations (18% saved)

localize128.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))
✓	0.1b	(.f64 t (+.f64 (.f64 t 12) -8))
✓	0.1b	(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8))))
	2.6b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 182 to 139 computations (23.6% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))
1.0ms	t	@	0	(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8))))
1.0ms	t	@	inf	(.f64 t (+.f64 (.f64 t 12) -8))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))

rewrite207.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log1p-udef_binary64`
269×	`add-sqr-sqrt_binary64`
260×	`pow1_binary64`
259×	`*-un-lft-identity_binary64`
253×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	529	63
2	7776	63

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))

(*.f64 t (+.f64 (*.f64 t 12) -8))

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 4)) 1) (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 4)) 3) (pow.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 3)) (+.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (-.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))) (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))) (-.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3)) (*.f64 t t)) (+.f64 16 (*.f64 (*.f64 t (fma.f64 t 12 -8)) (-.f64 (*.f64 t (fma.f64 t 12 -8)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2)) (*.f64 t t)) (-.f64 4 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))) (+.f64 16 (*.f64 (*.f64 t (fma.f64 t 12 -8)) (-.f64 (*.f64 t (fma.f64 t 12 -8)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (-.f64 16 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2))) (-.f64 4 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) (pow.f64 (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t (fma.f64 t 12 -8) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 4 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 t t) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t -8) (*.f64 t (*.f64 t 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 12)) 1) (*.f64 (*.f64 t -8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t 12 -8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 12)) 3) (pow.f64 (*.f64 t -8) 3)) (+.f64 (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t (*.f64 t 12))) (-.f64 (*.f64 (*.f64 t -8) (*.f64 t -8)) (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t (*.f64 t 12))) (*.f64 (*.f64 t -8) (*.f64 t -8))) (-.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -512 (*.f64 1728 (pow.f64 t 3))) t) (+.f64 (*.f64 (*.f64 t t) 144) (-.f64 64 (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 t t) 144) -64) t) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 -512 (*.f64 1728 (pow.f64 t 3)))) (+.f64 (*.f64 (*.f64 t t) 144) (-.f64 64 (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 (*.f64 (*.f64 t t) 144) -64)) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (fma.f64 t 12 -8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t 12 -8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (fma.f64 t 12 -8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 t 12 -8)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (fma.f64 t 12 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t 12 -8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t 12) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 12) t (*.f64 t -8))))))

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simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

555×	`times-frac_binary64`
506×	`unswap-sqr_binary64`
437×	`fma-def_binary64`
432×	`associate-/l/_binary64`
329×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	512
1	143	506
2	345	490
3	934	444
4	3388	444

Stop Event

1×	node limit

Counts

119 → 113

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 -8 t)
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))

Outputs
(*.f64 4 (pow.f64 t 2))
(.f64 4 (.f64 t t))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t)))
(fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4)))
(fma.f64 12 (pow.f64 t 4) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4)))
(fma.f64 12 (pow.f64 t 4) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 -8 t)
(*.f64 t -8)
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(.f64 (.f64 t t) 12)
(.f64 t (.f64 t 12))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(.f64 (.f64 t t) 12)
(.f64 t (.f64 t 12))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5)))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 7/18 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6)))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (*.f64 (/.f64 1 (pow.f64 t 5)) (-.f64 7/18 (/.f64 65/108 t))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 7/18 (pow.f64 t 5)) (/.f64 65/81 (pow.f64 t 7)))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 65/81 (pow.f64 t 7)))) (/.f64 -7/18 (pow.f64 t 5)))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 65/108 (pow.f64 t 6))) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -65/81 (pow.f64 t 7))))
(+.f64 (-.f64 (/.f64 5/12 (pow.f64 t 4)) (*.f64 (/.f64 1 (pow.f64 t 5)) (-.f64 7/18 (/.f64 65/108 t)))) (/.f64 -65/81 (pow.f64 t 7)))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5)))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 7/18 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6)))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (*.f64 (/.f64 1 (pow.f64 t 5)) (-.f64 7/18 (/.f64 65/108 t))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 7/18 (pow.f64 t 5)) (/.f64 65/81 (pow.f64 t 7)))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 65/81 (pow.f64 t 7)))) (/.f64 -7/18 (pow.f64 t 5)))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 65/108 (pow.f64 t 6))) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -65/81 (pow.f64 t 7))))
(+.f64 (-.f64 (/.f64 5/12 (pow.f64 t 4)) (*.f64 (/.f64 1 (pow.f64 t 5)) (-.f64 7/18 (/.f64 65/108 t)))) (/.f64 -65/81 (pow.f64 t 7)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
✓	0.4b	(/.f64 -2/9 t)

Compiler

Compiled 12 to 9 computations (25% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(+.f64 5/6 (/.f64 -2/9 t))
1.0ms	t	@	-inf	(/.f64 -2/9 t)
1.0ms	t	@	0	(/.f64 -2/9 t)
0.0ms	t	@	inf	(/.f64 -2/9 t)
0.0ms	t	@	inf	(+.f64 5/6 (/.f64 -2/9 t))

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	139	11
2	1759	11

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(+.f64 5/6 (/.f64 -2/9 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))))

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	20	69
2	31	69
3	47	69
4	62	69
5	80	69
6	98	69
7	113	69
8	120	69

Stop Event

1×

saturated

Counts

63 → 55

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize121.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	0.6b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
	2.6b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 132 to 105 computations (20.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))

1.0ms

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))

1.0ms

-inf

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`prod-diff_binary64`
463×	`fma-def_binary64`
324×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	375	32
2	5428	32

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 1) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (-.f64 4 (pow.f64 (*.f64 4 (*.f64 t t)) 2))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 2) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1))))))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
412×	`distribute-rgt-neg-in_binary64`
370×	`associate-/l/_binary64`
324×	`fma-def_binary64`
311×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	207
1	102	205
2	256	201
3	697	201
4	2320	201
5	6912	201

Stop Event

1×	node limit

Counts

47 → 50

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(fma.f64 (fma.f64 t -4 1) (*.f64 t t) 1/2)
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) (fma.f64 4 (pow.f64 t 4) 1/2))
(fma.f64 t (*.f64 t (fma.f64 t -4 1)) (fma.f64 4 (pow.f64 t 4) 1/2))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -5/4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -5/4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))

localize108.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	0.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
	2.6b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 153 to 117 computations (23.5% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
2.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
1.0ms	t	@	inf	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`prod-diff_binary64`
229×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`
221×	`*-un-lft-identity_binary64`
215×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	451	47
2	6594	47

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))

(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 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(+.f64 1 (/.f64 1 t))))) 1) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2)) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 8 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 3))) (+.f64 4 (*.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) (-.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (-.f64 4 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 2))) (-.f64 2 (*.f64 (*.f64 t t) (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3) (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 4)) 1) (*.f64 (*.f64 -8 (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 4)) 3) (pow.f64 (*.f64 -8 (pow.f64 t 3)) 3)) (+.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (-.f64 (*.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 -8 (pow.f64 t 3))) (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (*.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 -8 (pow.f64 t 3)))) (-.f64 (*.f64 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (*.f64 -512 (pow.f64 t 3))) (*.f64 t t)) (+.f64 16 (-.f64 (*.f64 (*.f64 t t) 64) (*.f64 -32 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 (*.f64 t t) 64)) (*.f64 t t)) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 64 (*.f64 -512 (pow.f64 t 3)))) (+.f64 16 (-.f64 (*.f64 (*.f64 t t) 64) (*.f64 -32 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (-.f64 16 (*.f64 (*.f64 t t) 64))) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 4 (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

845×	`times-frac_binary64`
492×	`unswap-sqr_binary64`
451×	`associate-*l/_binary64`
345×	`fma-def_binary64`
332×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	354
1	117	350
2	308	339
3	857	321
4	3241	321

Stop Event

1×	node limit

Counts

83 → 79

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 4)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 4 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2)))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.1b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
	0.1b	(.f64 t (+.f64 (.f64 t 12) -8))
✓	0.1b	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))

Compiler

Compiled 123 to 92 computations (25.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	t	@	0	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
0.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	t	@	-inf	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`expm1-udef_binary64`
407×	`log1p-udef_binary64`
245×	`add-sqr-sqrt_binary64`
233×	`pow1_binary64`
232×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	491	53
2	6784	53

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs

(*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 1) (*.f64 (*.f64 t (*.f64 t 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 3) (pow.f64 (*.f64 t (*.f64 t 4)) 3)) (+.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))) (-.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 t (*.f64 t 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))) (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4)))) (-.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3)) (*.f64 t t)) (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) (-.f64 16 (*.f64 t (*.f64 (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) -16) (*.f64 t t)) (fma.f64 t (fma.f64 t 12 -8) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))) (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) (-.f64 16 (*.f64 t (*.f64 (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) -16)) (fma.f64 t (fma.f64 t 12 -8) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) (pow.f64 (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t (fma.f64 t 12 -8) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t 12 -8)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (fma.f64 t 12 -8)) (*.f64 t t) (*.f64 t (*.f64 t 4)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (/.f64 1 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4)))) 1) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4)))) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 2)) (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 2)) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4)))) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))) (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1)) 2) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1)) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (neg.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) 3) (pow.f64 (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 1) (fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -4) 6))) 1))))))

simplify144.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
628×	`fma-def_binary64`
579×	`distribute-rgt-out_binary64`
520×	`distribute-lft-out_binary64`
428×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	365
1	95	359
2	240	348
3	774	318
4	2662	318
5	4510	318
6	6099	318
7	6479	318
8	6982	318
9	7585	318
10	7893	318

Stop Event

1×	node limit

Counts

81 → 81

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(*.f64 2 (pow.f64 t 4))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (.f64 2 (pow.f64 t 4)))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(+.f64 (.f64 16/27 t) (+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (.f64 2 (pow.f64 t 4)))))
(*.f64 2 (pow.f64 t 4))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (.f64 2 (pow.f64 t 4)))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(+.f64 (.f64 16/27 t) (+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (.f64 2 (pow.f64 t 4)))))

Outputs
(*.f64 4 (pow.f64 t 2))
(.f64 4 (.f64 t t))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t)))
(fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4)))
(fma.f64 12 (pow.f64 t 4) (*.f64 -8 (pow.f64 t 3)))
(.f64 (pow.f64 t 3) (+.f64 (.f64 t 12) -8))
(.f64 (pow.f64 t 3) (+.f64 -8 (.f64 t 12)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4)))
(fma.f64 12 (pow.f64 t 4) (*.f64 -8 (pow.f64 t 3)))
(.f64 (pow.f64 t 3) (+.f64 (.f64 t 12) -8))
(.f64 (pow.f64 t 3) (+.f64 -8 (.f64 t 12)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) (pow.f64 t 4))
(+.f64 (pow.f64 t 4) (fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2)))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
(*.f64 2 (pow.f64 t 4))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (.f64 2 (pow.f64 t 4)))
(fma.f64 4/3 (pow.f64 t 3) (*.f64 2 (pow.f64 t 4)))
(fma.f64 2 (pow.f64 t 4) (*.f64 (pow.f64 t 3) 4/3))
(.f64 (pow.f64 t 3) (+.f64 4/3 (.f64 t 2)))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (.f64 t t) (.f64 2 (pow.f64 t 4))))
(fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (.f64 t (.f64 t -14/9))))
(fma.f64 2 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 -14/9 (*.f64 t 4/3))))
(fma.f64 t (.f64 t (fma.f64 t 4/3 -14/9)) (.f64 2 (pow.f64 t 4)))
(+.f64 (.f64 16/27 t) (+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (.f64 2 (pow.f64 t 4)))))
(fma.f64 16/27 t (fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (.f64 t t) (.f64 2 (pow.f64 t 4)))))
(fma.f64 t 16/27 (fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (.f64 t (.f64 t -14/9)))))
(fma.f64 t 16/27 (fma.f64 2 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 -14/9 (*.f64 t 4/3)))))
(fma.f64 2 (pow.f64 t 4) (.f64 t (+.f64 16/27 (.f64 t (fma.f64 t 4/3 -14/9)))))
(*.f64 2 (pow.f64 t 4))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (.f64 2 (pow.f64 t 4)))
(fma.f64 4/3 (pow.f64 t 3) (*.f64 2 (pow.f64 t 4)))
(fma.f64 2 (pow.f64 t 4) (*.f64 (pow.f64 t 3) 4/3))
(.f64 (pow.f64 t 3) (+.f64 4/3 (.f64 t 2)))
(+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (.f64 t t) (.f64 2 (pow.f64 t 4))))
(fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (.f64 t (.f64 t -14/9))))
(fma.f64 2 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 -14/9 (*.f64 t 4/3))))
(fma.f64 t (.f64 t (fma.f64 t 4/3 -14/9)) (.f64 2 (pow.f64 t 4)))
(+.f64 (.f64 16/27 t) (+.f64 (.f64 4/3 (pow.f64 t 3)) (+.f64 (.f64 -14/9 (pow.f64 t 2)) (.f64 2 (pow.f64 t 4)))))
(fma.f64 16/27 t (fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (.f64 t t) (.f64 2 (pow.f64 t 4)))))
(fma.f64 t 16/27 (fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (.f64 t (.f64 t -14/9)))))
(fma.f64 t 16/27 (fma.f64 2 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 -14/9 (*.f64 t 4/3)))))
(fma.f64 2 (pow.f64 t 4) (.f64 t (+.f64 16/27 (.f64 t (fma.f64 t 4/3 -14/9)))))

eval1.1s (8.7%)

Compiler: Compiled 36772 to 29559 computations (19.6% saved)

prune197.0ms (1.6%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	987	9	996
Fresh	4	2	6
Picked	0	1	1
Done	3	3	6
Total	994	15	1009

Error

Counts

1009 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
▶	32.5b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
▶	30.6b	(fma.f64 t t 1/2)
	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	27.6b	5/6
▶	30.9b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 t) -2) (/.f64 -8 (+.f64 1 t))) 6))
	25.7b	1/2
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	28.1b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
▶	30.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
	29.0b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 475 to 372 computations (21.7% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.8b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))

0.0ms

(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))

0.0ms

-inf

(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`prod-diff_binary64`
495×	`log-prod_binary64`
383×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	218	18
2	2875	18

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t 4) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 t (*.f64 t 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) -2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) -1/2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-neg-frac_binary64`
611×	`times-frac_binary64`
388×	`associate-/l/_binary64`
285×	`unswap-sqr_binary64`
268×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	159
1	87	157
2	212	153
3	563	153
4	2140	153
5	6512	153

Stop Event

1×	node limit

Counts

53 → 55

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4))))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) 1/2)))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	0.4b	(/.f64 -2/9 t)
✓	3.8b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	-inf	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.0ms	t	@	inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	0	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down_binary64`
411×	`fma-def_binary64`
379×	`prod-diff_binary64`
365×	`log-prod_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	216	11
2	3083	11

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

Outputs

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/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -2/9 t)) 1 -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 5/6)))))

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	117
1	20	117
2	31	117
3	47	117
4	62	117
5	80	117
6	98	117
7	113	117
8	120	117

Stop Event

1×

saturated

Counts

188 → 167

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	19.5b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))

Compiler

Compiled 71 to 47 computations (33.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 t (*.f64 t 4))))

0.0ms

inf

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 t (*.f64 t 4))))

0.0ms

-inf

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 t (*.f64 t 4))))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
680×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
277×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	336	22
2	4576	22

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (*.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) 1) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (pow.f64 (*.f64 t 2) 2) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 2) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 t (*.f64 t 4) 2))) 1))))))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
561×	`associate-/r*_binary64`
525×	`associate-/l/_binary64`
456×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	75	121
2	175	117
3	469	117
4	1423	114
5	3867	114

Stop Event

1×	node limit

Counts

50 → 53

Calls

Call 1

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

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))
(fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 (fma.f64 t -4 1) (*.f64 t t) 1/2)
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 -2 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) (fma.f64 -2 (pow.f64 t 4) 1/2))
(fma.f64 (pow.f64 t 3) (fma.f64 t -2 -4) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) (fma.f64 t -2 -4) 1/2))
(*.f64 -2 t)
(*.f64 t -2)
(+.f64 1 (*.f64 -2 t))
(+.f64 (*.f64 t -2) 1)
(fma.f64 t -2 1)
(+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t)))
(+.f64 1 (+.f64 (*.f64 t -2) (/.f64 1 t)))
(+.f64 1 (fma.f64 t -2 (/.f64 1 t)))
(+.f64 (fma.f64 t -2 1) (/.f64 1 t))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 t) (.f64 -2 t))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (+.f64 (.f64 t -2) (/.f64 1 t)) (/.f64 1/4 (.f64 t t))))
(+.f64 1 (+.f64 (fma.f64 t -2 (/.f64 1 t)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 -1/4 (*.f64 t t)) (/.f64 1 t)) (fma.f64 t -2 1))
(+.f64 (/.f64 (/.f64 -1/4 t) t) (+.f64 (fma.f64 t -2 1) (/.f64 1 t)))
(*.f64 -2 t)
(*.f64 t -2)
(+.f64 1 (*.f64 -2 t))
(+.f64 (*.f64 t -2) 1)
(fma.f64 t -2 1)
(+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t)))
(+.f64 1 (+.f64 (*.f64 t -2) (/.f64 1 t)))
(+.f64 1 (fma.f64 t -2 (/.f64 1 t)))
(+.f64 (fma.f64 t -2 1) (/.f64 1 t))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 t) (.f64 -2 t))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (+.f64 (.f64 t -2) (/.f64 1 t)) (/.f64 1/4 (.f64 t t))))
(+.f64 1 (+.f64 (fma.f64 t -2 (/.f64 1 t)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 -1/4 (*.f64 t t)) (/.f64 1 t)) (fma.f64 t -2 1))
(+.f64 (/.f64 (/.f64 -1/4 t) t) (+.f64 (fma.f64 t -2 1) (/.f64 1 t)))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))
	2.6b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
✓	14.3b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))

Compiler

Compiled 111 to 86 computations (22.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
0.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
0.0ms	t	@	inf	(.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))
0.0ms	t	@	0	(.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff_binary64`
344×	`log1p-udef_binary64`
202×	`add-sqr-sqrt_binary64`
196×	`*-un-lft-identity_binary64`
196×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	398	55
2	5806	55

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
(.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 t 4) 2))) (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (+.f64 8 (*.f64 (pow.f64 (*.f64 t t) 3) 64))) (+.f64 4 (*.f64 (*.f64 t (*.f64 t 4)) (-.f64 (*.f64 t (*.f64 t 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (-.f64 4 (pow.f64 (*.f64 t (*.f64 t 4)) 2))) (-.f64 2 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 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t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 2 t)) (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 t) 2) (*.f64 (*.f64 2 t) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (*.f64 2 t)) (+.f64 4 (*.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2)) (*.f64 2 t)) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))) (+.f64 4 (*.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 1))))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
461×	`times-frac_binary64`
385×	`fma-neg_binary64`
339×	`associate-*r/_binary64`
338×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	335
1	152	329
2	406	323
3	1146	316
4	3558	316

Stop Event

1×	node limit

Counts

78 → 84

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (.f64 2 (pow.f64 t 5)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -4 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (+.f64 (.f64 -4 (pow.f64 t 5)) (.f64 4 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (.f64 2 (pow.f64 t 5)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (.f64 t t) (.f64 2 (pow.f64 t 5)))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 2 (pow.f64 t 5)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 2 (pow.f64 t 5) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 2 (pow.f64 t 5) (fma.f64 -2 (pow.f64 t 3) 1/2)))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t))
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t)))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3)))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t))))
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4)))))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t))
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t)))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3)))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t))))
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4)))))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4)))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -4 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -4))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -4)))
(.f64 (.f64 t t) (fma.f64 t -4 4))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (.f64 (.f64 t t) 4)))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -4)))
(fma.f64 (pow.f64 t 3) -4 (.f64 4 (+.f64 (pow.f64 t 4) (.f64 t t))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4))))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (+.f64 (.f64 -4 (pow.f64 t 5)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 -4 (pow.f64 t 5) (.f64 (.f64 t t) 4))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -4 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 5) -4))))
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (.f64 4 (+.f64 (pow.f64 t 4) (.f64 t t))))
(fma.f64 (pow.f64 t 5) -4 (.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4)))))
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t))
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4)
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t))
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4)

localize4.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

eval366.0ms (2.9%)

Compiler: Compiled 10932 to 8691 computations (20.5% saved)

prune141.0ms (1.1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	516	2	518
Fresh	0	6	6
Picked	0	1	1
Done	1	7	8
Total	517	16	533

Error

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.2b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
▶	32.5b	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
✓	30.6b	(fma.f64 t t 1/2)
▶	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	28.1b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
▶	32.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	27.6b	5/6
✓	30.9b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 t) -2) (/.f64 -8 (+.f64 1 t))) 6))
	25.7b	1/2
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	30.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
▶	29.0b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 424 to 335 computations (21% saved)

localize45.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	19.6b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))

1.0ms

-inf

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))

1.0ms

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
600×	`fma-def_binary64`
361×	`pow2_binary64`
248×	`pow1/3_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	294	26
2	4072	26

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (*.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) 1) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2)) (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2)) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 2) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (+.f64 8 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) 3))) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 t -8 4)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (-.f64 4 (*.f64 (pow.f64 (fma.f64 t -8 4) 2) (pow.f64 t 4)))) (-.f64 2 (*.f64 (*.f64 t t) (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) 3) (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) 3) (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2))) 1))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

980×	`fma-def_binary64`
806×	`associate-/r/_binary64`
716×	`associate-/r*_binary64`
305×	`distribute-rgt-out_binary64`
293×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	90	155
2	209	153
3	506	153
4	1422	150
5	5525	150
6	7233	150
7	7644	150

Stop Event

1×	node limit

Counts

52 → 54

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) (fma.f64 -2 (pow.f64 t 4) 1/2))
(fma.f64 (pow.f64 t 3) (fma.f64 t -2 -2) (fma.f64 t t 1/2))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
	0.4b	(/.f64 -2/9 t)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
0.0ms	t	@	inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
911×	`add-log-exp_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	7
2	2388	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 7/6) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (-.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (+.f64 (/.f64 -2/9 t) 7/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (-.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6)) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6))) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	20	69
2	31	69
3	47	69
4	62	69
5	80	69
6	98	69
7	113	69
8	120	69

Stop Event

1×

saturated

Counts

49 → 41

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -2/9 t) -1)
✓	0.0b	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
	0.4b	(/.f64 -2/9 t)
✓	3.8b	(+.f64 (+.f64 (/.f64 -2/9 t) -1) 1)

Compiler

Compiled 30 to 25 computations (16.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 (+.f64 (/.f64 -2/9 t) -1) 1)
0.0ms	t	@	-inf	(+.f64 (/.f64 -2/9 t) -1)
0.0ms	t	@	0	(+.f64 (/.f64 -2/9 t) -1)
0.0ms	t	@	inf	(+.f64 (/.f64 -2/9 t) -1)
0.0ms	t	@	0	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`unpow-prod-down_binary64`
386×	`fma-def_binary64`
382×	`log-prod_binary64`
294×	`prod-diff_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	231	18
2	3145	18

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 -2/9 t) -1) 1)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 (/.f64 -2/9 t) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2/9 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (+.f64 (/.f64 -2/9 t) -2)) (/.f64 1 (+.f64 (/.f64 -2/9 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (pow.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) -1) (/.f64 1 (+.f64 (/.f64 -2/9 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (/.f64 -2/9 t) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2/9) 3) (pow.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 2) 3) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2/9) 2) (pow.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -8/729 1/3) (pow.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -8/729 (pow.f64 t 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 -8/729 (pow.f64 t 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -2/9 t) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 -2/9 t) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) -2/9) 1/3) (cbrt.f64 (pow.f64 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) (sqrt.f64 (/.f64 -2/9 t))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t -9/2)) 2) -1) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/9 t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/9 (neg.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 t -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) -2) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 t -9/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/9 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (+.f64 (/.f64 -2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) -1) (+.f64 (/.f64 -2/9 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) -1)) (neg.f64 (+.f64 (/.f64 -2/9 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -8/729 (pow.f64 t 3)) 0) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 0 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(+.f64 (/.f64 -2/9 t) -1)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3))) (pow.f64 (/.f64 1 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1) (/.f64 1 (+.f64 (/.f64 -2/9 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1) (pow.f64 (/.f64 1 (+.f64 (/.f64 -2/9 t) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -2/9 t)) 1) (-.f64 (sqrt.f64 (/.f64 -2/9 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (/.f64 -2/9 t)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 -2/9 t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2))) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t))) (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 1) (+.f64 (/.f64 4/81 (*.f64 t t)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 1 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1) (+.f64 (/.f64 -2/9 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1)) (neg.f64 (+.f64 (/.f64 -2/9 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (-.f64 -1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3))) 1) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1) 1) (+.f64 (/.f64 -2/9 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1 (/.f64 2/9 t))) (+.f64 -1 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -2/9 t) 1) (+.f64 (/.f64 4/81 (*.f64 t t)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (/.f64 -2/9 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (pow.f64 t -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1) -2/9 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) -1) (/.f64 1 (+.f64 (/.f64 -2/9 t) -2)) -1)))))

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`fma-def_binary64`
12×	`sub-neg_binary64`
12×	`fma-neg_binary64`
9×	`+-commutative_binary64`
6×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	204
1	28	186
2	51	186
3	80	186
4	101	186
5	125	186
6	152	186
7	159	186
8	163	186

Stop Event

1×

saturated

Counts

252 → 222

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
-1
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
-1
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))

Outputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
-1
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
-1
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))
(neg.f64 (+.f64 1 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1 (/.f64 -2/9 t))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
✓	0.0b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
	0.4b	(/.f64 -2/9 t)
✓	0.4b	(/.f64 1/27 (*.f64 t t))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 1/27 (*.f64 t t))
1.0ms	t	@	inf	(/.f64 1/27 (*.f64 t t))
1.0ms	t	@	0	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
1.0ms	t	@	0	(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
0.0ms	t	@	-inf	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

rewrite126.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
412×	`fma-def_binary64`
344×	`pow-prod-down_binary64`
312×	`pow2_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	245	32
2	3606	32

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(/.f64 1/27 (*.f64 t t))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/19683 (pow.f64 t 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t t) 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/19683 (pow.f64 t 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))) 1))))))

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1/27 t))) (*.f64 (*.f64 t -9/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/9 t (*.f64 (neg.f64 t) (/.f64 1/27 t))) (*.f64 t (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 1/729 (pow.f64 t 4))) (-.f64 (/.f64 -2/9 t) (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t)) (*.f64 t t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3) 1/3)))) 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(/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/27 (pow.f64 t -2)) 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/27 (pow.f64 t -2)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (/.f64 -2/9 t))))))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

589×	`distribute-neg-frac_binary64`
452×	`fma-neg_binary64`
450×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
391×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	348
1	47	348
2	79	348
3	142	348
4	292	348
5	822	348
6	3584	336
7	6916	336

Stop Event

1×	node limit

Counts

213 → 188

Calls

Call 1

Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 t 12) -8)
	0.1b	(.f64 t (+.f64 (.f64 t 12) -8))
	0.1b	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
✓	21.1b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))

Compiler

Compiled 108 to 74 computations (31.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
0.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
0.0ms	t	@	-inf	(+.f64 (*.f64 t 12) -8)
0.0ms	t	@	0	(+.f64 (*.f64 t 12) -8)

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
399×	`fma-neg_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	373	39
2	5226	39

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(+.f64 (*.f64 t 12) -8)

Outputs

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(fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) 3) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 t 12 -8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 t t) 144) (fma.f64 t 12 8)) (/.f64 64 (fma.f64 t 12 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 t 12 -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t 12 -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 t 12 -8)) (pow.f64 (cbrt.f64 (fma.f64 t 12 -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t 12 -8)) 2) (cbrt.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 t 12 -8)) (sqrt.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 t 3) 1728 -512) (/.f64 1 (-.f64 (fma.f64 (*.f64 t t) 144 64) (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t t) 144 -64) (/.f64 1 (fma.f64 t 12 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 t t) 144 64) (*.f64 t -96)) (fma.f64 (pow.f64 t 3) 1728 -512)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 t 12 8) (fma.f64 (*.f64 t t) 144 -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 t 3) 1728 -512) (-.f64 (fma.f64 (*.f64 t t) 144 64) (*.f64 t -96)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 t 3) 1728 -512) (+.f64 64 (-.f64 (*.f64 (*.f64 t t) 144) (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 t t) 144 -64) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 t 3) 1728 -512)) (neg.f64 (-.f64 (fma.f64 (*.f64 t t) 144 64) (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 t t) 144 -64)) (neg.f64 (fma.f64 t 12 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (*.f64 (*.f64 t t) 144)) (-.f64 -8 (*.f64 t 12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t 12 -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t 12 -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t 12 -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t 12 -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t 12 -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t 12 -8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t 12 -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 12) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 12 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 t -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 12) 1 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 t 12)) (cbrt.f64 (*.f64 (*.f64 t t) 144)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 144)) (cbrt.f64 (*.f64 t 12)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 12) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t 12)) (sqrt.f64 (*.f64 t 12)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 12) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (sqrt.f64 t)) (sqrt.f64 t) -8)))))

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

598×	`associate-*l/_binary64`
580×	`associate-*r/_binary64`
492×	`unswap-sqr_binary64`
362×	`distribute-neg-frac_binary64`
335×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	212
1	108	206
2	259	206
3	740	204
4	2969	204

Stop Event

1×	node limit

Counts

99 → 93

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
-8
(-.f64 (*.f64 12 t) 8)
(-.f64 (*.f64 12 t) 8)
(-.f64 (*.f64 12 t) 8)
(*.f64 12 t)
(-.f64 (*.f64 12 t) 8)
(-.f64 (*.f64 12 t) 8)
(-.f64 (*.f64 12 t) 8)
(*.f64 12 t)
(-.f64 (*.f64 12 t) 8)
(-.f64 (*.f64 12 t) 8)
(-.f64 (*.f64 12 t) 8)

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 t t (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (/.f64 1/12 (pow.f64 t 4)))
(+.f64 1 (/.f64 -1/12 (pow.f64 t 4)))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 1 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5))))
(+.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (/.f64 -1/12 (pow.f64 t 4)))
(+.f64 (/.f64 -1/12 (pow.f64 t 4)) (-.f64 1 (/.f64 1/18 (pow.f64 t 5))))
(+.f64 (+.f64 1 (/.f64 -1/12 (pow.f64 t 4))) (/.f64 -1/18 (pow.f64 t 5)))
(+.f64 1 (+.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 -1/18 (pow.f64 t 5))))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
(-.f64 1 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6)))))
(-.f64 1 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6)))))
(+.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (-.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))))
(+.f64 (+.f64 1 (/.f64 -1/18 (pow.f64 t 5))) (-.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))))
(+.f64 (+.f64 1 (/.f64 -1/12 (pow.f64 t 4))) (*.f64 (/.f64 1 (pow.f64 t 5)) (-.f64 -1/18 (/.f64 1/108 t))))
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (/.f64 1/12 (pow.f64 t 4)))
(+.f64 1 (/.f64 -1/12 (pow.f64 t 4)))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 1 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5))))
(+.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (/.f64 -1/12 (pow.f64 t 4)))
(+.f64 (/.f64 -1/12 (pow.f64 t 4)) (-.f64 1 (/.f64 1/18 (pow.f64 t 5))))
(+.f64 (+.f64 1 (/.f64 -1/12 (pow.f64 t 4))) (/.f64 -1/18 (pow.f64 t 5)))
(+.f64 1 (+.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 -1/18 (pow.f64 t 5))))
(-.f64 1 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
(-.f64 1 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6)))))
(-.f64 1 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6)))))
(+.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (-.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))))
(+.f64 (+.f64 1 (/.f64 -1/18 (pow.f64 t 5))) (-.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))))
(+.f64 (+.f64 1 (/.f64 -1/12 (pow.f64 t 4))) (*.f64 (/.f64 1 (pow.f64 t 5)) (-.f64 -1/18 (/.f64 1/108 t))))
-8
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(*.f64 12 t)
(*.f64 t 12)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(*.f64 12 t)
(*.f64 t 12)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)
(-.f64 (*.f64 12 t) 8)
(fma.f64 12 t -8)
(fma.f64 t 12 -8)

eval838.0ms (6.6%)

Compiler: Compiled 19629 to 14585 computations (25.7% saved)

prune130.0ms (1%)

Pruning

17 alts after pruning (4 fresh and 13 done)

	Pruned	Kept	Total
New	888	2	890
Fresh	1	2	3
Picked	0	1	1
Done	0	12	12
Total	889	17	906

Error

Counts

906 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.2b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
✓	32.5b	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
✓	30.6b	(fma.f64 t t 1/2)
✓	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	28.1b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
✓	32.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	27.6b	5/6
✓	30.9b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
	25.7b	1/2
✓	29.0b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
✓	30.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
	30.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 t) -2) (/.f64 -8 (+.f64 1 t))) 6))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 323 to 258 computations (20.1% saved)

regimes59.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 t) -2) (/.f64 -8 (+.f64 1 t))) 6))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))

Outputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Calls

5 calls:

13.0ms	t
12.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
5.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.0ms	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
4.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))

Results

Error	Segments	Branch
0.0b	1	`t`
0.0b	1	`(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))`
0.0b	1	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.0b	1	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.0b	1	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 581 to 459 computations (21% saved)

regimes36.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))

Outputs

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))))

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 320 to 247 computations (22.8% saved)

bsearch96.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	0.0002569912836106225	73.64643797431614
50.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes29.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))

Outputs

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 145 to 110 computations (24.1% saved)

bsearch98.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	0.0002569912836106225	73.64643797431614
49.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes84.0ms (0.7%)

Counts

13 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))

Outputs

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Calls

1 calls:

80.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 120 to 90 computations (25% saved)

bsearch335.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
145.0ms	0.0002569912836106225	73.64643797431614
189.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes52.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))

Outputs

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))) (+.f64 2 (*.f64 t (*.f64 t 4))))

(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 97 to 75 computations (22.7% saved)

bsearch125.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	0.0002569912836106225	73.64643797431614
76.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes31.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))

Outputs
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 78 to 62 computations (20.5% saved)

bsearch101.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	0.0002569912836106225	73.64643797431614
51.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes20.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))

Outputs
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
1/2
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.0b	3	`t`

Compiler

Compiled 63 to 51 computations (19% saved)

bsearch152.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	0.0002569912836106225	73.64643797431614
55.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes37.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

Outputs
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
1/2
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
1.3b	3	`t`

Compiler

Compiled 37 to 32 computations (13.5% saved)

bsearch189.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
91.0ms	0.0002569912836106225	73.64643797431614
97.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes24.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)

Outputs
(+.f64 5/6 (/.f64 -2/9 t))
1/2
(+.f64 5/6 (/.f64 -2/9 t))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.3b	3	`t`

Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch99.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	0.0002569912836106225	73.64643797431614
50.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
1/2

Outputs
5/6
1/2
5/6

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.9b	3	`t`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch98.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	0.0002569912836106225	73.64643797431614
51.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
1/2

Outputs
1/2

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
25.7b	1	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
11×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	590
1	109	590
2	114	590
3	121	590
4	124	590
5	125	590

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1)) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6840041143034889/17592186044416) 5/6 (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 5/6))
1/2

Outputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1)) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (+.f64 1 (+.f64 (/.f64 -2/9 t) -1))) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 1 (+.f64 (/.f64 -2/9 t) -1)))))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6840041143034889/17592186044416) 5/6 (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 5/6))
1/2

Compiler

Compiled 414 to 309 computations (25.4% saved)

soundness0.0ms (0%)

end174.0ms (1.4%)

Compiler: Compiled 404 to 294 computations (27.2% saved)