Details

analyze1.3s (25.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	95%	5%	7
0%	95%	5%	8
0%	94.6%	5.4%	9
0%	89.6%	10.4%	10
0%	69.7%	30.3%	11
0%	66.6%	33.4%	12
1.6%	63.4%	35%	13
2.3%	62.3%	35.4%	14

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.9s (36.7%)

Results

1.3s	8250×	body	128	valid
596.0ms	4132×	body	128	invalid
1.0ms	4×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 46 to 32 computations (30.4% saved)

preprocess43.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

527×	`cancel-sign-sub-inv_binary64`
455×	`associate-+r+_binary64`
420×	`sub-neg_binary64`
388×	`+-commutative_binary64`
336×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	384
1	297	352
2	1178	352
3	3828	352
0	6	6
1	6	6

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
0
2
3
4
5

Call 2

Inputs
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 y x) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 z y) x) (.f64 x (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 t y) z) (.f64 z (log.f64 x))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 a y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 x 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 b y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) x))
(+.f64 (-.f64 (+.f64 (+.f64 x z) y) (.f64 y (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x t) z) (.f64 z (log.f64 y))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x a) z) (.f64 z (log.f64 t))) (.f64 (-.f64 y 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x b) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) y))
(+.f64 (-.f64 (+.f64 (+.f64 x y) t) (.f64 t (log.f64 z))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) a) (.f64 a (log.f64 t))) (.f64 (-.f64 z 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) b) (.f64 b (log.f64 t))) (.f64 (-.f64 a 1/2) z))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 a))) (.f64 (-.f64 t 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 b))) (.f64 (-.f64 a 1/2) t))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 b 1/2) a))

Outputs
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b (+.f64 x y)))
(+.f64 x (-.f64 (+.f64 y z) (fma.f64 z (log.f64 t) (*.f64 b (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 y x) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b (+.f64 x y)))
(+.f64 x (-.f64 (+.f64 y z) (fma.f64 z (log.f64 t) (*.f64 b (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 z y) x) (.f64 x (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 (+.f64 a -1/2) b) (+.f64 (+.f64 y z) (-.f64 x (.f64 x (log.f64 t)))))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y z) (*.f64 x (log.f64 t)))))
(+.f64 (-.f64 x (*.f64 x (log.f64 t))) (fma.f64 (+.f64 a -1/2) b (+.f64 y z)))
(+.f64 (+.f64 x y) (-.f64 z (fma.f64 x (log.f64 t) (*.f64 b (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 t y) z) (.f64 z (log.f64 x))) (.f64 (-.f64 a 1/2) b))
(-.f64 (+.f64 z (+.f64 y t)) (-.f64 (.f64 z (log.f64 x)) (.f64 (+.f64 a -1/2) b)))
(fma.f64 (+.f64 a -1/2) b (+.f64 t (-.f64 (+.f64 y z) (*.f64 z (log.f64 x)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 x))) (fma.f64 (+.f64 a -1/2) b (+.f64 y t)))
(+.f64 (-.f64 (+.f64 (+.f64 a y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 x 1/2) b))
(+.f64 (+.f64 (+.f64 y a) (-.f64 z (.f64 z (log.f64 t)))) (.f64 b (+.f64 x -1/2)))
(fma.f64 b (+.f64 x -1/2) (-.f64 (+.f64 y (+.f64 z a)) (*.f64 z (log.f64 t))))
(-.f64 (fma.f64 b (+.f64 x -1/2) (+.f64 y (+.f64 z a))) (*.f64 z (log.f64 t)))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 b (+.f64 x -1/2) (+.f64 y a)))
(+.f64 (-.f64 (+.f64 (+.f64 b y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) x))
(-.f64 (+.f64 z (+.f64 y b)) (-.f64 (.f64 z (log.f64 t)) (.f64 x (+.f64 a -1/2))))
(fma.f64 x (+.f64 a -1/2) (-.f64 (+.f64 z (+.f64 y b)) (*.f64 z (log.f64 t))))
(-.f64 (fma.f64 x (+.f64 a -1/2) (+.f64 z (+.f64 y b))) (*.f64 z (log.f64 t)))
(+.f64 z (-.f64 (+.f64 y b) (fma.f64 z (log.f64 t) (*.f64 x (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 x z) y) (.f64 y (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (+.f64 (+.f64 x y) z) (.f64 y (log.f64 t))))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y z) (*.f64 y (log.f64 t)))))
(+.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 x y)) (-.f64 z (*.f64 y (log.f64 t))))
(+.f64 (+.f64 x y) (-.f64 z (fma.f64 y (log.f64 t) (*.f64 b (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 x t) z) (.f64 z (log.f64 y))) (.f64 (-.f64 a 1/2) b))
(-.f64 (+.f64 x (+.f64 t z)) (-.f64 (.f64 z (log.f64 y)) (.f64 (+.f64 a -1/2) b)))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (+.f64 t (-.f64 z (*.f64 z (log.f64 y))))))
(+.f64 (-.f64 z (*.f64 z (log.f64 y))) (fma.f64 (+.f64 a -1/2) b (+.f64 x t)))
(+.f64 x (-.f64 (+.f64 z t) (fma.f64 z (log.f64 y) (*.f64 b (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 x a) z) (.f64 z (log.f64 t))) (.f64 (-.f64 y 1/2) b))
(+.f64 (+.f64 (+.f64 x a) (-.f64 z (.f64 z (log.f64 t)))) (.f64 b (-.f64 y 1/2)))
(fma.f64 b (+.f64 y -1/2) (+.f64 z (-.f64 (+.f64 x a) (*.f64 z (log.f64 t)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 b (+.f64 y -1/2) (+.f64 x a)))
(+.f64 a (-.f64 (+.f64 x z) (fma.f64 z (log.f64 t) (*.f64 b (-.f64 1/2 y)))))
(+.f64 (-.f64 (+.f64 (+.f64 x b) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) y))
(+.f64 (+.f64 (+.f64 x b) (-.f64 z (.f64 z (log.f64 t)))) (.f64 y (+.f64 a -1/2)))
(fma.f64 y (+.f64 a -1/2) (-.f64 (+.f64 x (+.f64 z b)) (*.f64 z (log.f64 t))))
(-.f64 (+.f64 (fma.f64 y (+.f64 a -1/2) (+.f64 x b)) z) (*.f64 z (log.f64 t)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) t) (.f64 t (log.f64 z))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (+.f64 x (+.f64 y t)) (.f64 t (log.f64 z))))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y t) (*.f64 t (log.f64 z)))))
(+.f64 (-.f64 t (*.f64 t (log.f64 z))) (fma.f64 (+.f64 a -1/2) b (+.f64 x y)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) a) (.f64 a (log.f64 t))) (.f64 (-.f64 z 1/2) b))
(+.f64 (+.f64 (+.f64 x y) (-.f64 a (.f64 (log.f64 t) a))) (.f64 b (+.f64 z -1/2)))
(fma.f64 b (+.f64 z -1/2) (+.f64 x (-.f64 (+.f64 y a) (*.f64 (log.f64 t) a))))
(-.f64 (fma.f64 b (+.f64 z -1/2) (+.f64 x (+.f64 y a))) (*.f64 (log.f64 t) a))
(+.f64 x (+.f64 y (-.f64 a (fma.f64 (log.f64 t) a (*.f64 b (-.f64 1/2 z))))))
(+.f64 (-.f64 (+.f64 (+.f64 x y) b) (.f64 b (log.f64 t))) (.f64 (-.f64 a 1/2) z))
(+.f64 (+.f64 (+.f64 x y) (-.f64 b (.f64 (log.f64 t) b))) (.f64 z (+.f64 a -1/2)))
(fma.f64 z (+.f64 a -1/2) (+.f64 x (+.f64 y (-.f64 b (*.f64 (log.f64 t) b)))))
(+.f64 (-.f64 b (*.f64 (log.f64 t) b)) (fma.f64 z (+.f64 a -1/2) (+.f64 x y)))
(+.f64 x (+.f64 y (-.f64 b (fma.f64 (log.f64 t) b (*.f64 z (-.f64 1/2 a))))))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 a))) (.f64 (-.f64 t 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 a))) (.f64 b (+.f64 t -1/2)))
(fma.f64 b (+.f64 t -1/2) (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 a)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 a))) (fma.f64 b (+.f64 t -1/2) (+.f64 x y)))
(fma.f64 b (+.f64 t -1/2) (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 b))) (.f64 (-.f64 a 1/2) t))
(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 b)))) (.f64 t (+.f64 a -1/2)))
(fma.f64 t (+.f64 a -1/2) (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 b)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 b))) (fma.f64 t (+.f64 a -1/2) (+.f64 x y)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 b 1/2) a))
(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 a (+.f64 b -1/2)))
(fma.f64 a (+.f64 b -1/2) (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 a (+.f64 b -1/2) (+.f64 x y)))
(+.f64 (+.f64 x y) (-.f64 z (fma.f64 z (log.f64 t) (*.f64 a (-.f64 1/2 b)))))

Symmetry

(sort x y)

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-neg_binary64`
503×	`fma-def_binary64`
447×	`sub-neg_binary64`
362×	`unsub-neg_binary64`
320×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	35	22
2	106	22
3	334	21
4	1058	20
5	2896	20
6	4356	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))

Outputs
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t))))
(fma.f64 (+.f64 a -1/2) b (fma.f64 (log.f64 t) (neg.f64 z) (+.f64 (+.f64 x y) z)))
(+.f64 (fma.f64 (fma.f64 -1 (log.f64 t) 1) z y) (fma.f64 (+.f64 a -1/2) b x))
(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))

prune9.0ms (0.2%)

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

Status	Error	Program
▶	0.1b	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))
	0.1b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))

Compiler

Compiled 120 to 80 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(fma.f64 z (-.f64 1 (log.f64 t)) y)

series83.0ms (1.6%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	t	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) y)
22.0ms	t	@	-inf	(fma.f64 z (-.f64 1 (log.f64 t)) y)
8.0ms	t	@	inf	(fma.f64 z (-.f64 1 (log.f64 t)) y)
8.0ms	z	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) y)
3.0ms	x	@	-inf	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`prod-diff_binary64`
166×	`add-sqr-sqrt_binary64`
162×	`*-un-lft-identity_binary64`
162×	`pow1_binary64`
154×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	318	30
2	4127	30

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (.f64 z (-.f64 1 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (-.f64 1 (log.f64 t))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z (-.f64 1 (log.f64 t))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (-.f64 1 (log.f64 t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3) (pow.f64 y 3)) (+.f64 (.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 z (-.f64 1 (log.f64 t)))) (-.f64 (.f64 y y) (.f64 (.f64 z (-.f64 1 (log.f64 t))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 z (-.f64 1 (log.f64 t)))) (.f64 y y)) (-.f64 (.f64 z (-.f64 1 (log.f64 t))) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 2) (-.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))) (/.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 2) (-.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 2)) (cbrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))) (sqrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 3) (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 2) (.f64 (fma.f64 (+.f64 a -1/2) b x) (-.f64 (fma.f64 (+.f64 a -1/2) b x) (fma.f64 z (-.f64 1 (log.f64 t)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 2) (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 2)) (/.f64 1 (-.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 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2) (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 2)) (-.f64 (fma.f64 (+.f64 a -1/2) b x) (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 a -1/2) b x) (fma.f64 z (-.f64 1 (log.f64 t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b x)) 2) (cbrt.f64 (fma.f64 (+.f64 a -1/2) b x)) (fma.f64 z (-.f64 1 (log.f64 t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (fma.f64 (+.f64 a -1/2) b x))))) (#(struct:change #<rule 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Outputs

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

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

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-def_binary64`
685×	`associate--l+_binary64`
472×	`+-commutative_binary64`
453×	`associate-+l-_binary64`
290×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1905
1	192	1904
2	565	1739
3	1837	1659
4	4901	1659

Stop Event

1×	node limit

Counts

166 → 88

Calls

Call 1

Inputs
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y x)) (.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 z x)) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
y
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
y
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 y (+.f64 z x)) (+.f64 (.f64 z (log.f64 t)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 a b)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 a b)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 y (+.f64 z x)) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 (-.f64 a 1/2) b)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(.f64 -1 (.f64 b (-.f64 1/2 a)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y z)) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))

Outputs
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (*.f64 z (-.f64 1 (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (*.f64 z (-.f64 1 (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (*.f64 z (-.f64 1 (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (*.f64 z (-.f64 1 (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (*.f64 z (-.f64 1 (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
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(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 (+.f64 z x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))

prune86.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Error

0.0b

Counts

90 → 7

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))
	44.3b	(*.f64 (cbrt.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) 2)))
	37.9b	(+.f64 (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 3)) (fma.f64 (+.f64 a -1/2) b x))
	23.4b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2)) (fma.f64 (+.f64 a -1/2) b x))

Compiler

Compiled 2141 to 1241 computations (42% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.2b	(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
✓	0.3b	(*.f64 z (log.f64 t))

series32.0ms (0.6%)

Counts

3 → 94

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	z	@	0	(*.f64 z (log.f64 t))
4.0ms	y	@	0	(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
1.0ms	z	@	inf	(*.f64 z (log.f64 t))
0.0ms	t	@	-inf	(*.f64 z (log.f64 t))
0.0ms	t	@	inf	(*.f64 z (log.f64 t))

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

185×	`add-sqr-sqrt_binary64`
182×	`*-un-lft-identity_binary64`
182×	`pow1_binary64`
173×	`add-exp-log_binary64`
173×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	342	40

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(*.f64 z (log.f64 t))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x))

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

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simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
528×	`+-commutative_binary64`
454×	`associate-+l-_binary64`
305×	`associate--r+_binary64`
290×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	1649
1	198	1648
2	591	1483
3	1891	1419
4	4793	1419

Stop Event

1×	node limit

Counts

198 → 133

Calls

Call 1

Inputs
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(-.f64 z (*.f64 z (log.f64 t)))
y
y
y
(*.f64 (-.f64 1 (log.f64 t)) z)
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 a b) (+.f64 z x)) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
y
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
y
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y x)) (.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 (.f64 z (log.f64 (/.f64 1 t))) (+.f64 z x)))) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y (+.f64 z x)))) (+.f64 (.f64 z (log.f64 -1)) (.f64 1/2 b)))
(-.f64 (+.f64 y (+.f64 z x)) (+.f64 (.f64 z (log.f64 t)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 a b)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 a b)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 y (+.f64 z x)) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(*.f64 (-.f64 a 1/2) b)
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(.f64 -1 (.f64 b (-.f64 1/2 a)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y z)) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))

Outputs
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (neg.f64 (log.f64 t)) (neg.f64 z))
(*.f64 z (log.f64 t))
(-.f64 z (*.f64 z (log.f64 t)))
y
y
y
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 z (log.f64 t)))
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (fma.f64 z (neg.f64 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 a b) (+.f64 z x)) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 z x)) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b z) (-.f64 x (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(+.f64 z (-.f64 (fma.f64 a b x) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 a b (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b -1/2 x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
y
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
y
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y x)) (.f64 1/2 b))
(+.f64 (fma.f64 a b (+.f64 y x)) (*.f64 -1/2 b))
(+.f64 (+.f64 y x) (*.f64 b (+.f64 a -1/2)))
(fma.f64 b -1/2 (+.f64 y (fma.f64 a b x)))
(fma.f64 b (+.f64 a -1/2) (+.f64 y x))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 z (*.f64 z (log.f64 t)))
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(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y z)) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 z y)) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(+.f64 (fma.f64 a b y) (-.f64 z (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(+.f64 z (-.f64 (fma.f64 a b y) (fma.f64 z (log.f64 t) (*.f64 b 1/2))))
(fma.f64 a b (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b -1/2 y)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
x
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))
(-.f64 (+.f64 (.f64 a b) (+.f64 y (+.f64 z x))) (+.f64 (.f64 z (log.f64 t)) (*.f64 1/2 b)))
(-.f64 (fma.f64 a b (+.f64 y (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(-.f64 (+.f64 y (fma.f64 a b (+.f64 z x))) (fma.f64 z (log.f64 t) (*.f64 b 1/2)))
(fma.f64 b -1/2 (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) (fma.f64 a b y)))
(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b (+.f64 a -1/2) (+.f64 y x)))

prune141.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	132	8	140

Error

0.0b

Counts

140 → 8

Alt Table

Status	Error	Program
	29.6b	(+.f64 (/.f64 1 (/.f64 (+.f64 z (+.f64 y (.f64 z (log.f64 t)))) (-.f64 (pow.f64 (+.f64 z y) 2) (pow.f64 (.f64 z (log.f64 t)) 2)))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))
	37.9b	(+.f64 (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 3)) (fma.f64 (+.f64 a -1/2) b x))
	23.4b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2)) (fma.f64 (+.f64 a -1/2) b x))
▶	0.4b	(+.f64 (-.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)) (fma.f64 (+.f64 a -1/2) b x))

Compiler

Compiled 3368 to 1399 computations (58.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3))
	0.3b	(*.f64 z (log.f64 t))
✓	0.6b	(cbrt.f64 (*.f64 z (log.f64 t)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)

series23.0ms (0.4%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
3.0ms	t	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
3.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
2.0ms	t	@	0	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
2.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`fma-def_binary64`
220×	`fma-neg_binary64`
199×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
168×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	247	26
2	3192	24

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3))

Outputs

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

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

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-def_binary64`
416×	`unswap-sqr_binary64`
358×	`unsub-neg_binary64`
293×	`sub-neg_binary64`
252×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	586
1	100	586
2	206	526
3	441	526
4	1171	526
5	3398	526
6	4608	526

Stop Event

1×	node limit

Counts

237 → 191

Calls

Call 1

Inputs
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))

Outputs
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 t))))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (log.f64 t))
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
(*.f64 z (log.f64 t))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))))
(.f64 (cbrt.f64 -1) (pow.f64 (.f64 z (log.f64 (/.f64 1 t))) 1/3))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))))
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
y
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(.f64 -1 (.f64 (-.f64 (log.f64 t) 1) z))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (+.f64 (*.f64 z (log.f64 (/.f64 1 t))) z))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 t)) z) (+.f64 y z)) (.f64 z (log.f64 -1)))
(+.f64 y (-.f64 z (*.f64 z (log.f64 t))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)

prune271.0ms (5.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	204	11	215

Error

Counts

215 → 11

Alt Table

Status	Error	Program
	29.6b	(+.f64 (/.f64 1 (/.f64 (+.f64 z (+.f64 y (.f64 z (log.f64 t)))) (-.f64 (pow.f64 (+.f64 z y) 2) (pow.f64 (.f64 z (log.f64 t)) 2)))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))
✓	0.4b	(+.f64 (-.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)) (fma.f64 (+.f64 a -1/2) b x))
▶	0.3b	(+.f64 (-.f64 (+.f64 y z) (.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (log.f64 t)) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)))) (fma.f64 (+.f64 a -1/2) b x))
	34.1b	(+.f64 (fma.f64 (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (+.f64 z y)) (fma.f64 (+.f64 a -1/2) b x))
	37.9b	(+.f64 (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 3)) (fma.f64 (+.f64 a -1/2) b x))
	23.4b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x))
	0.4b	(+.f64 (-.f64 (+.f64 y z) (.f64 (.f64 z (pow.f64 (cbrt.f64 (log.f64 t)) 2)) (cbrt.f64 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2)) (fma.f64 (+.f64 a -1/2) b x))

Compiler

Compiled 5178 to 2279 computations (56% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)
✓	0.5b	(cbrt.f64 (log.f64 t))
✓	0.6b	(cbrt.f64 z)
	0.6b	(cbrt.f64 (*.f64 z (log.f64 t)))

series34.0ms (0.7%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)
2.0ms	t	@	inf	(cbrt.f64 (log.f64 t))
2.0ms	t	@	-inf	(cbrt.f64 (log.f64 t))
2.0ms	t	@	0	(cbrt.f64 (log.f64 t))
1.0ms	t	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
85×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	192	19
2	2035	19

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(cbrt.f64 z)
(cbrt.f64 (log.f64 t))
(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))))))

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

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

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
563×	`associate-l_binary64`
495×	`associate-r_binary64`
220×	`unswap-sqr_binary64`
209×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	296
1	80	288
2	174	288
3	690	288
4	3365	288

Stop Event

1×	node limit

Counts

87 → 72

Calls

Call 1

Inputs
(pow.f64 (log.f64 t) 1/3)
(pow.f64 (log.f64 t) 1/3)
(pow.f64 (log.f64 t) 1/3)
(pow.f64 (log.f64 t) 1/3)
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)

Outputs
(pow.f64 (log.f64 t) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (log.f64 t) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (log.f64 t) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (log.f64 t) 1/3)
(cbrt.f64 (log.f64 t))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 t))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 t))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 t))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 t)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 t))))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 1/3)
(cbrt.f64 (log.f64 t))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 z 2) (pow.f64 (log.f64 (/.f64 1 t)) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))

prune150.0ms (2.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	5	7
Picked	0	1	1
Done	0	3	3
Total	100	11	111

Error

Counts

111 → 11

Alt Table

Status	Error	Program
	34.1b	(+.f64 (fma.f64 (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (+.f64 z y)) (fma.f64 (+.f64 a -1/2) b x))
	0.4b	(+.f64 (-.f64 (+.f64 y z) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 (cbrt.f64 (log.f64 t)) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x))
✓	0.1b	(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))
✓	0.4b	(+.f64 (-.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)) (fma.f64 (+.f64 a -1/2) b x))
✓	0.3b	(+.f64 (-.f64 (+.f64 y z) (.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (log.f64 t)) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)))) (fma.f64 (+.f64 a -1/2) b x))
	23.4b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x))
	0.4b	(+.f64 (-.f64 (+.f64 y z) (.f64 (.f64 z (pow.f64 (cbrt.f64 (log.f64 t)) 2)) (cbrt.f64 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x))
	0.7b	(+.f64 (*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2)) (fma.f64 (+.f64 a -1/2) b x))
	17.3b	(+.f64 (-.f64 (+.f64 y z) (.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (log.f64 t)) (cbrt.f64 (pow.f64 (*.f64 z (log.f64 t)) 2))))) (fma.f64 (+.f64 a -1/2) b x))

Compiler

Compiled 3235 to 1447 computations (55.3% saved)

regimes407.0ms (7.8%)

Accuracy

Total 0.1b remaining (72.8%)

Threshold costs 0.1b (72.8%)

Counts

50 → 1

Compiler

Compiled 1060 to 533 computations (49.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	21	20
2	25	20
3	27	20
4	28	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))

Outputs
(+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x))

end189.0ms (3.6%)

Stop Event

1×

fuel

Remove

(sort x y)

Compiler

Compiled 376 to 257 computations (31.6% saved)

Details

analyze1.3s (25.3%)

sample1.9s (36.7%)

preprocess43.0ms (0.8%)

simplify27.0ms (0.5%)

prune9.0ms (0.2%)

localize11.0ms (0.2%)

series83.0ms (1.6%)

rewrite67.0ms (1.3%)

simplify66.0ms (1.3%)

prune86.0ms (1.6%)

localize12.0ms (0.2%)

series32.0ms (0.6%)

rewrite40.0ms (0.8%)

simplify60.0ms (1.2%)

prune141.0ms (2.7%)

localize14.0ms (0.3%)

series23.0ms (0.4%)

rewrite69.0ms (1.3%)

simplify52.0ms (1%)

prune271.0ms (5.2%)

localize21.0ms (0.4%)

series34.0ms (0.7%)

rewrite44.0ms (0.9%)

simplify32.0ms (0.6%)

prune150.0ms (2.9%)

regimes407.0ms (7.8%)

simplify2.0ms (0%)

end189.0ms (3.6%)

Profiling