Details

analyze1.1s (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample3.3s (22.8%)

Results

907.0ms	5509×	body	128	valid
662.0ms	1205×	body	1024	valid
466.0ms	875×	body	1024	invalid
371.0ms	916×	body	512	valid
252.0ms	1584×	body	128	invalid
222.0ms	543×	body	512	invalid
159.0ms	561×	body	256	valid
112.0ms	293×	body	256	invalid
48.0ms	65×	body	2048	valid

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
506×	`fma-neg_binary64`
403×	`cancel-sign-sub-inv_binary64`
259×	`distribute-rgt-neg-in_binary64`
215×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	48	39
2	117	39
3	267	39
4	618	39
5	1427	39
6	3153	39

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

42.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	42.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (.f64 l (neg.f64 l)))))
	42.1b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))

Status

Error

Program

▶

42.1b

(/.f64 (*.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (*.f64 t t) (*.f64 l l)) (*.f64 l (neg.f64 l)))))

42.1b

(/.f64 (*.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (*.f64 l l) (*.f64 2 (*.f64 t t)))) (*.f64 l l))))

Compiler

Compiled 174 to 115 computations (33.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (.f64 l (neg.f64 l)))))
✓	0.5b	(*.f64 (sqrt.f64 2) t)
✓	11.1b	(fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (*.f64 l (neg.f64 l)))
✓	23.4b	(sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (*.f64 l (neg.f64 l))))

series906.0ms (6.3%)

Counts

4 → 120

Calls

4 calls:

686.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (.f64 l (neg.f64 l)))))
168.0ms	(sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (*.f64 l (neg.f64 l))))
41.0ms	(fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (*.f64 l (neg.f64 l)))
9.0ms	(*.f64 (sqrt.f64 2) t)

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

199×	`add-sqr-sqrt_binary64`
190×	`log1p-expm1-u_binary64`
190×	`expm1-log1p-u_binary64`
187×	`add-cbrt-cube_binary64`
185×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	420	99

Stop Event

1×	node limit

Counts

4 → 104

Calls

4 calls:

40.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (.f64 l (neg.f64 l)))))
40.0ms	(*.f64 (sqrt.f64 2) t)
40.0ms	(fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (*.f64 l (neg.f64 l)))
40.0ms	(sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (.f64 t t) (.f64 l l)) (*.f64 l (neg.f64 l))))

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

632×	`*-commutative_binary64`
385×	`fma-def_binary64`
342×	`associate-+r+_binary64`
278×	`associate-r_binary64`
225×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1507	28688

Stop Event

1×	node limit

Counts

224 → 261

prune870.0ms (6.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	249	12	261
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	251	12	263

Error

4.5b

Counts

263 → 12

Alt Table

Status	Error	Program
	42.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (fma.f64 2 (/.f64 (.f64 t t) (/.f64 (+.f64 x -1) x)) (fma.f64 2 (/.f64 (.f64 t t) (+.f64 x -1)) (+.f64 (/.f64 (.f64 l l) (/.f64 (+.f64 x -1) x)) (/.f64 (.f64 l l) (+.f64 x -1))))) (.f64 l l))))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (+.f64 x -1)) (*.f64 2 (/.f64 x (+.f64 x -1))))))))
▶	32.9b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 4 (/.f64 (.f64 t t) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (fma.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))))))
	38.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (+.f64 x -1)) (*.f64 2 (/.f64 x (+.f64 x -1)))))))
	38.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1)))))))
	58.9b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1))))))
	58.9b	(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))) (/.f64 t (/.f64 l (sqrt.f64 2)))))
	59.0b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))) (/.f64 t (/.f64 l (sqrt.f64 2))))
	47.3b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) (.f64 (.f64 t (sqrt.f64 2)) (.f64 x x))) (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (sqrt.f64 2)))) (fma.f64 3 (/.f64 (/.f64 (pow.f64 l 4) (pow.f64 t 3)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 4 (/.f64 t (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (fma.f64 6 (/.f64 (.f64 l l) (.f64 (.f64 t (pow.f64 (sqrt.f64 2) 5)) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 2))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 l 6) (pow.f64 t 5)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 t (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 x x) (sqrt.f64 2))) (/.f64 t (.f64 (pow.f64 x 3) (sqrt.f64 2))))))))))))) (fma.f64 4 (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (fma.f64 2 (/.f64 (/.f64 (.f64 l l) t) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (*.f64 4 (/.f64 (/.f64 t (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))))))))))
	39.6b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1))))))))
	37.0b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (pow.f64 l 2) (.f64 t (.f64 (sqrt.f64 2) x))))))
	59.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))))

Compiler

Compiled 41919 to 31226 computations (25.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.5b	(/.f64 (.f64 l l) (.f64 x x))
✓	18.9b	(/.f64 (.f64 t t) (.f64 x x))
✓	19.8b	(/.f64 (*.f64 t t) (pow.f64 x 3))
✓	28.1b	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 4 (/.f64 (.f64 t t) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (fma.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))))))

series395.0ms (2.8%)

Counts

4 → 104

Calls

4 calls:

318.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 4 (/.f64 (.f64 t t) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (fma.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))))))
27.0ms	(/.f64 (*.f64 t t) (pow.f64 x 3))
25.0ms	(/.f64 (.f64 l l) (.f64 x x))
24.0ms	(/.f64 (.f64 t t) (.f64 x x))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`log1p-expm1-u_binary64`
259×	`expm1-log1p-u_binary64`
256×	`add-cbrt-cube_binary64`
253×	`add-cube-cbrt_binary64`
253×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	110
1	563	96

Stop Event

1×	node limit

Counts

4 → 79

Calls

4 calls:

39.0ms	(/.f64 (.f64 l l) (.f64 x x))
39.0ms	(/.f64 (.f64 t t) (.f64 x x))
39.0ms	(/.f64 (*.f64 t t) (pow.f64 x 3))
39.0ms	(sqrt.f64 (fma.f64 4 (/.f64 (.f64 t t) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 t t) x) (fma.f64 4 (/.f64 (.f64 t t) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 l l) (.f64 x x)) (fma.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3)) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))))))

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
410×	`associate-/r*_binary64`
315×	`times-frac_binary64`
291×	`associate-l_binary64`
246×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	533	11996
1	1728	9975

Stop Event

1×	node limit

Counts

183 → 138

prune440.0ms (3.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	135	15	150

Error

0.4b

Counts

150 → 15

Alt Table

Status	Error	Program
	42.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (fma.f64 2 (/.f64 (.f64 t t) (/.f64 (+.f64 x -1) x)) (fma.f64 2 (/.f64 (.f64 t t) (+.f64 x -1)) (+.f64 (/.f64 (.f64 l l) (/.f64 (+.f64 x -1) x)) (/.f64 (.f64 l l) (+.f64 x -1))))) (.f64 l l))))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (+.f64 x -1)) (*.f64 2 (/.f64 x (+.f64 x -1))))))))
	33.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 1/2)))
	47.3b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) (.f64 (.f64 t (sqrt.f64 2)) (.f64 x x))) (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (sqrt.f64 2)))) (fma.f64 3 (/.f64 (/.f64 (pow.f64 l 4) (pow.f64 t 3)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 4 (/.f64 t (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (fma.f64 6 (/.f64 (.f64 l l) (.f64 (.f64 t (pow.f64 (sqrt.f64 2) 5)) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 2))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 l 6) (pow.f64 t 5)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 t (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 x x) (sqrt.f64 2))) (/.f64 t (.f64 (pow.f64 x 3) (sqrt.f64 2))))))))))))) (fma.f64 4 (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (fma.f64 2 (/.f64 (/.f64 (.f64 l l) t) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (*.f64 4 (/.f64 (/.f64 t (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))))))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (neg.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))))))
	40.2b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))) 3/2)))
	35.3b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (/.f64 l (/.f64 (.f64 (sqrt.f64 2) (.f64 x t)) l)))))
	59.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))))
▶	33.0b	(/.f64 (.f64 (sqrt.f64 2) t) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))) 2))
	51.7b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (.f64 2 (+.f64 (*.f64 (/.f64 l x) (/.f64 l x)) (+.f64 (/.f64 l (/.f64 (pow.f64 x 3) l)) (/.f64 l (/.f64 x l)))))))
	58.9b	(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))) (/.f64 t (/.f64 l (sqrt.f64 2)))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (.f64 x x)))))) (+.f64 (/.f64 t (/.f64 l t)) (.f64 2 (/.f64 (/.f64 t (/.f64 l t)) x)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (.f64 x x)))))) (+.f64 (.f64 2 (/.f64 (.f64 (/.f64 t x) (/.f64 t x)) l)) (.f64 2 (/.f64 (/.f64 t (/.f64 l t)) (pow.f64 x 3))))) (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))))))))
	39.6b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1))))))))
	54.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))))))
	38.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1)))))))

Compiler

Compiled 21631 to 14597 computations (32.5% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))
✓	10.1b	(.f64 (.f64 l l) (pow.f64 x -3))
✓	19.7b	(.f64 (.f64 t t) (pow.f64 x -3))
✓	28.1b	(sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))

series474.0ms (3.3%)

Counts

4 → 116

Calls

4 calls:

307.0ms	(sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))
113.0ms	(fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))
28.0ms	(.f64 (.f64 t t) (pow.f64 x -3))
26.0ms	(.f64 (.f64 l l) (pow.f64 x -3))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`log1p-expm1-u_binary64`
268×	`expm1-log1p-u_binary64`
265×	`add-log-exp_binary64`
264×	`add-cube-cbrt_binary64`
264×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	152
1	597	152

Stop Event

1×	node limit

Counts

4 → 59

Calls

4 calls:

39.0ms	(fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))
39.0ms	(.f64 (.f64 l l) (pow.f64 x -3))
39.0ms	(.f64 (.f64 t t) (pow.f64 x -3))
39.0ms	(sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-def_binary64`
413×	`associate-/r*_binary64`
326×	`times-frac_binary64`
247×	`associate-*r/_binary64`
215×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	557	13546
1	1825	11479

Stop Event

1×	node limit

Counts

175 → 142

prune384.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	144	13	157

Error

0.4b

Counts

157 → 13

Alt Table

Status	Error	Program
	42.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (fma.f64 2 (/.f64 (.f64 t t) (/.f64 (+.f64 x -1) x)) (fma.f64 2 (/.f64 (.f64 t t) (+.f64 x -1)) (+.f64 (/.f64 (.f64 l l) (/.f64 (+.f64 x -1) x)) (/.f64 (.f64 l l) (+.f64 x -1))))) (.f64 l l))))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (+.f64 x -1)) (*.f64 2 (/.f64 x (+.f64 x -1))))))))
▶	33.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 1/2)))
	40.2b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))) 3/2)))
	35.3b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (/.f64 l (/.f64 (.f64 (sqrt.f64 2) (.f64 x t)) l)))))
	58.9b	(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))) (/.f64 t (/.f64 l (sqrt.f64 2)))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (.f64 x x)))))) (+.f64 (/.f64 t (/.f64 l t)) (.f64 2 (/.f64 (/.f64 t (/.f64 l t)) x)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (.f64 x x)))))) (+.f64 (.f64 2 (/.f64 (.f64 (/.f64 t x) (/.f64 t x)) l)) (.f64 2 (/.f64 (/.f64 t (/.f64 l t)) (pow.f64 x 3))))) (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))))))))
	47.3b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) (.f64 (.f64 t (sqrt.f64 2)) (.f64 x x))) (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (sqrt.f64 2)))) (fma.f64 3 (/.f64 (/.f64 (pow.f64 l 4) (pow.f64 t 3)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 4 (/.f64 t (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (fma.f64 6 (/.f64 (.f64 l l) (.f64 (.f64 t (pow.f64 (sqrt.f64 2) 5)) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 2))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 l 6) (pow.f64 t 5)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 t (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 x x) (sqrt.f64 2))) (/.f64 t (.f64 (pow.f64 x 3) (sqrt.f64 2))))))))))))) (fma.f64 4 (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (fma.f64 2 (/.f64 (/.f64 (.f64 l l) t) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (*.f64 4 (/.f64 (/.f64 t (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))))))))))
	39.6b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1))))))))
	54.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))))))
	38.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1)))))))
	59.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))))
	56.6b	(/.f64 (.f64 (sqrt.f64 2) t) (pow.f64 (sqrt.f64 (.f64 l (neg.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))))))) 2))

Compiler

Compiled 21478 to 15200 computations (29.2% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.1b	(.f64 (.f64 l l) (pow.f64 x -3))
✓	13.1b	(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 2) 1/2)
	19.7b	(.f64 (.f64 t t) (pow.f64 x -3))
✓	28.9b	(cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))

series890.0ms (6.2%)

Counts

2 → 40

Calls

2 calls:

538.0ms

(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (*.f64 (*.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (*.f64 (*.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 2) 1/2)

351.0ms

(cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (*.f64 (*.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (*.f64 (*.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

287×	`log1p-expm1-u_binary64`
287×	`expm1-log1p-u_binary64`
280×	`add-cube-cbrt_binary64`
280×	`add-cbrt-cube_binary64`
280×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	648	144

Stop Event

1×	node limit

Counts

2 → 41

Calls

2 calls:

39.0ms

(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (*.f64 (*.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (*.f64 (*.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 2) 1/2)

39.0ms

(cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (*.f64 (*.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (*.f64 (*.f64 l l) (pow.f64 x -3)) (*.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))))

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

416×	`associate-l_binary64`
255×	`associate-*r/_binary64`
221×	`associate-/r*_binary64`
205×	`*-commutative_binary64`
190×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	14092
1	2161	12215

Stop Event

1×	node limit

Counts

81 → 75

prune718.0ms (5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	187	14	201

Error

0.4b

Counts

201 → 14

Alt Table

Status	Error	Program
	42.4b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (fma.f64 2 (/.f64 (.f64 t t) (/.f64 (+.f64 x -1) x)) (fma.f64 2 (/.f64 (.f64 t t) (+.f64 x -1)) (+.f64 (/.f64 (.f64 l l) (/.f64 (+.f64 x -1) x)) (/.f64 (.f64 l l) (+.f64 x -1))))) (.f64 l l))))
	39.3b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (+.f64 x -1)) (*.f64 2 (/.f64 x (+.f64 x -1))))))))
	40.2b	(/.f64 (.f64 (sqrt.f64 2) t) (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l))))))))) 3/2)))
	35.3b	(/.f64 (.f64 (sqrt.f64 2) t) (fma.f64 t (sqrt.f64 2) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (/.f64 l (/.f64 (.f64 (sqrt.f64 2) (.f64 x t)) l)))))
	58.9b	(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))) (/.f64 t (/.f64 l (sqrt.f64 2)))))
	33.1b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (.f64 t (/.f64 t x)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (pow.f64 x -3) (.f64 l l)) (.f64 2 (fma.f64 t t (.f64 l (/.f64 l x)))))))))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 1/2)))
	33.4b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (.f64 t (/.f64 t x)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (pow.f64 x -3) (.f64 l l)) (.f64 2 (fma.f64 t t (.f64 l (/.f64 l x))))))))))) 3) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t x) 2) (fma.f64 4 (/.f64 t (/.f64 x t)) (fma.f64 4 (.f64 (.f64 t t) (pow.f64 x -3)) (fma.f64 2 (pow.f64 (/.f64 l x) 2) (fma.f64 2 (.f64 (.f64 l l) (pow.f64 x -3)) (.f64 2 (fma.f64 t t (/.f64 l (/.f64 x l)))))))))) 1/2)))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (.f64 x x)))))) (+.f64 (/.f64 t (/.f64 l t)) (.f64 2 (/.f64 (/.f64 t (/.f64 l t)) x)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (.f64 x x)))))) (+.f64 (.f64 2 (/.f64 (.f64 (/.f64 t x) (/.f64 t x)) l)) (.f64 2 (/.f64 (/.f64 t (/.f64 l t)) (pow.f64 x 3))))) (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))))))))
	47.3b	(/.f64 (.f64 (sqrt.f64 2) t) (-.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) (.f64 (.f64 t (sqrt.f64 2)) (.f64 x x))) (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (sqrt.f64 2)))) (fma.f64 3 (/.f64 (/.f64 (pow.f64 l 4) (pow.f64 t 3)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 4 (/.f64 t (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 2 (/.f64 t (.f64 x (sqrt.f64 2))) (fma.f64 6 (/.f64 (.f64 l l) (.f64 (.f64 t (pow.f64 (sqrt.f64 2) 5)) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 2))) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 l 6) (pow.f64 t 5)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (fma.f64 t (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 t (.f64 (.f64 x x) (sqrt.f64 2))) (/.f64 t (.f64 (pow.f64 x 3) (sqrt.f64 2))))))))))))) (fma.f64 4 (/.f64 (/.f64 (.f64 l l) t) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (fma.f64 2 (/.f64 (/.f64 (.f64 l l) t) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 l 4) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 2) 3)) (.f64 x x))) (fma.f64 2 (/.f64 t (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))) (*.f64 4 (/.f64 (/.f64 t (pow.f64 (sqrt.f64 2) 3)) (pow.f64 x 3))))))))))
	39.6b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1))))))))
	54.9b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))))))
	38.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 (+.f64 x -1)) (.f64 2 (/.f64 x (+.f64 x -1)))))))
	59.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (+.f64 x -1)) 1)))))
	56.6b	(/.f64 (.f64 (sqrt.f64 2) t) (pow.f64 (sqrt.f64 (.f64 l (neg.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))))))) 2))

Compiler

Compiled 40793 to 26439 computations (35.2% saved)

regimes2.9s (20.5%)

Accuracy

Total 10.9b remaining (97.3%)

Threshold costs 0b (0%)

Counts

149 → 5

Compiler

Compiled 53284 to 34403 computations (35.4% saved)

bsearch513.0ms (3.6%)

Steps

Iters	Range		Point
10	6.094670298516006e+33	4.043502652412787e+46	3.236051765993995e+46
7	4.6785219673180447e-172	1.0957728150550299e-170	1.0811679065075598e-170
7	-1.3127158984844458e-150	-9.743583574454096e-153	-1.279046527317441e-150
7	-2.154207838409582e+78	-1.1307024253363977e+76	-2.318016481841386e+76

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`*-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	259
1	85	259
2	94	259
3	99	259
4	101	259

Stop Event

1×

saturated

end567.0ms (4%)

Compiler: Compiled 1233 to 829 computations (32.8% saved)

Details

analyze1.1s (7.8%)

sample3.3s (22.8%)

simplify23.0ms (0.2%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series906.0ms (6.3%)

rewrite43.0ms (0.3%)

simplify180.0ms (1.3%)

prune870.0ms (6.1%)

localize28.0ms (0.2%)

series395.0ms (2.8%)

rewrite41.0ms (0.3%)

simplify109.0ms (0.8%)

prune440.0ms (3.1%)

localize33.0ms (0.2%)

series474.0ms (3.3%)

rewrite41.0ms (0.3%)

simplify122.0ms (0.8%)

prune384.0ms (2.7%)

localize40.0ms (0.3%)

series890.0ms (6.2%)

rewrite41.0ms (0.3%)

simplify121.0ms (0.8%)

prune718.0ms (5%)

regimes2.9s (20.5%)

bsearch513.0ms (3.6%)

simplify7.0ms (0%)

end567.0ms (4%)

Profiling