Details

analyze497.0ms (18.4%)

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
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.1s (42.4%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 62 to 54 computations (12.9% saved)

preprocess38.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

716×	`fma-def_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
274×	`associate-/l*_binary64`
193×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1339	26
6	4694	26
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Compiler

Compiled 30 to 26 computations (13.3% saved)

simplify27.0ms (1%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
274×	`associate-/l*_binary64`
193×	`unsub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1339	26
6	4694	26

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

prune4.0ms (0.1%)

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

Counts

3 → 2

Alt Table

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

Status

Error

Program

0.0b

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

▶

0.0b

(-.f64 1 (/.f64 1 (+.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))))))))

Compiler

Compiled 146 to 128 computations (12.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (+.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 1 (+.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 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	3.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series6.0ms (0.2%)

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 1 (+.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))))
0.0ms	t	@	-inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms	t	@	inf	(/.f64 1 (+.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)))))))

rewrite77.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`prod-diff_binary64`
163×	`add-sqr-sqrt_binary64`
157×	`*-un-lft-identity_binary64`
157×	`pow1_binary64`
152×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	314	88
2	4578	88

Stop Event

1×	node limit

Counts

4 → 112

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 1 (+.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 1 (/.f64 1 (+.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 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))) (sqrt.f64 (+.f64 2 (/.f64 -2 (.f64 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 (+.f64 4 (.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))))) (#(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 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))) (-.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))) (+.f64 4 (.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))))) (#(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 (+.f64 4 (.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))))) (#(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 -2 (.f64 t (+.f64 1 (/.f64 1 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sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 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simplify33.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
336×	`fma-def_binary64`
278×	`sub-neg_binary64`
224×	`cancel-sign-sub-inv_binary64`
205×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	614
1	271	594
2	800	580
3	2548	578

Stop Event

1×	node limit

Counts

160 → 168

Calls

Call 1

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

prune232.0ms (8.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	215	2	217

Error

Counts

217 → 2

Alt Table

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

Status

Error

Program

▶

0.0b

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

✓

0.0b

(-.f64 1 (/.f64 1 (+.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))))))))

Compiler

Compiled 6581 to 5720 computations (13.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.2%)

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) 6)
0.0ms	t	@	inf	(/.f64 2 (+.f64 1 t))
0.0ms	t	@	-inf	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0ms	t	@	inf	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
0.0ms	t	@	-inf	(/.f64 2 (+.f64 1 t))

rewrite55.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
208×	`prod-diff_binary64`
167×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	264	60
2	3258	60

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 2) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) 3) 216) (fma.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) (-.f64 36 (.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t))) -36) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1))))))
((#(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))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.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 -1 (neg.f64 t))))))) (#(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 (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 (pow.f64 (/.f64 2 (+.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 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 (pow.f64 (/.f64 2 (+.f64 1 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (+.f64 (/.f64 2 (+.f64 1 t)) 4)) (/.f64 16 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 2 (+.f64 1 t)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -64 (pow.f64 (/.f64 2 (+.f64 1 t)) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) 16) (/.f64 -8 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) 16) (/.f64 -8 (+.f64 1 t))) (+.f64 -64 (pow.f64 (/.f64 2 (+.f64 1 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 t)) 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64 (pow.f64 (/.f64 2 (+.f64 1 t)) 3)) (-.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) 16) (/.f64 -8 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64 (pow.f64 (/.f64 2 (+.f64 1 t)) 3)) (+.f64 16 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16) (+.f64 (/.f64 2 (+.f64 1 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -64 (pow.f64 (/.f64 2 (+.f64 1 t)) 3))) (neg.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) 16) (/.f64 -8 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (/.f64 4 (pow.f64 (+.f64 1 t) 2))) (-.f64 -4 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(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))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.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 -1 (neg.f64 t))) -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 exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 1))))))

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
637×	`cancel-sign-sub-inv_binary64`
284×	`sub-neg_binary64`
278×	`fma-def_binary64`
227×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	631
1	266	602
2	779	581
3	2309	572

Stop Event

1×	node limit

Counts

158 → 165

Calls

Call 1

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

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

prune168.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	202	2	204

Error

Counts

204 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

✓

0.0b

(-.f64 1 (/.f64 1 (+.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))))))))

Compiler

Compiled 4559 to 4002 computations (12.2% saved)

regimes298.0ms (11%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Counts

112 → 1

Compiler

Compiled 2027 to 1757 computations (13.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	25	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2)))) 1))

Outputs

(exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))) 1))

(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))))

end64.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 89 to 79 computations (11.2% saved)

Details

analyze497.0ms (18.4%)

sample1.1s (42.4%)

preprocess38.0ms (1.4%)

simplify27.0ms (1%)

prune4.0ms (0.1%)

localize11.0ms (0.4%)

series6.0ms (0.2%)

rewrite77.0ms (2.9%)

simplify33.0ms (1.2%)

prune232.0ms (8.6%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite55.0ms (2%)

simplify35.0ms (1.3%)

prune168.0ms (6.2%)

regimes298.0ms (11%)

simplify2.0ms (0.1%)

end64.0ms (2.4%)

Profiling