Details

analyze1.1s (10.8%)

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)

sample75.0ms (0.7%)

Algorithm

1×

intervals

Results

18.0ms	174×	body	128	valid
12.0ms	35×	body	1024	valid
8.0ms	24×	body	1024	nan
7.0ms	29×	body	512	valid
5.0ms	55×	body	128	nan
4.0ms	23×	body	256	nan
3.0ms	13×	body	512	nan
3.0ms	16×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`div-sub_binary64`
508×	`distribute-neg-in_binary64`
500×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
403×	`cancel-sign-sub-inv_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	46	41
2	95	41
3	184	41
4	355	41
5	714	41
6	1619	41
7	3620	41
8	4716	41
9	5192	41

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

42.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	42.3b	(/.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 60 to 40 computations (33.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.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))))
0.4b	(*.f64 (sqrt.f64 2) t)
10.6b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
21.1b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite197.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

42.1b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 80

Calls

4 calls:

15.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
14.0ms	(/.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))))
11.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
4.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 3285 to 1868 computations (43.1% saved)

series925.0ms (9.1%)

Error

4.9b

Counts

4 → 65

Calls

4 calls:

462.0ms	(/.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))))
254.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
110.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
6.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 13854 to 11376 computations (17.9% saved)

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

677×	`times-frac_binary64`
530×	`associate-/l*_binary64`
500×	`associate-/r*_binary64`
183×	`*-commutative_binary64`
114×	`+-commutative_binary64`

Counts

145 → 108

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	9813
1	1658	9163
2	5004	9163

prune104.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Error

4.9b

Counts

109 → 9

Alt Table

Status	Error	Program
	35.7b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 (sqrt.f64 2) x))) (/.f64 (.f64 l l) (.f64 t (*.f64 (sqrt.f64 2) x))))))
	43.9b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (*.f64 t t) (-.f64 x 1))))))
	40.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	37.7b	(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))))))
▶	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (.f64 x x)))))))
	40.1b	(/.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))))))))
	37.3b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 (/.f64 2 (-.f64 x 1)) (*.f64 2 (/.f64 x (-.f64 x 1)))))))
	63.4b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1)))))
	63.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))

Compiler

Compiled 5554 to 3715 computations (33.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.0b	(/.f64 (*.f64 t t) x)
9.5b	(/.f64 (.f64 l l) (.f64 x x))
15.9b	(/.f64 (.f64 t t) (.f64 x x))
25.8b	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (*.f64 x x))))))

rewrite107.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

33×	`add-cbrt-cube_binary64`
33×	`add-exp-log_binary64`
24×	`associate-*r/_binary64`
22×	`frac-add_binary64`
14×	`sqrt-div_binary64`

Counts

4 → 90

Calls

4 calls:

12.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (*.f64 x x))))))
5.0ms	(/.f64 (.f64 t t) (.f64 x x))
5.0ms	(/.f64 (.f64 l l) (.f64 x x))
3.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 6046 to 1381 computations (77.2% saved)

series388.0ms (3.8%)

Error

0.1b

Counts

4 → 43

Calls

4 calls:

292.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (*.f64 x x))))))
18.0ms	(/.f64 (.f64 l l) (.f64 x x))
17.0ms	(/.f64 (.f64 t t) (.f64 x x))
15.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 8715 to 6805 computations (21.9% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

435×	`times-frac_binary64`
408×	`associate-l_binary64`
278×	`distribute-rgt-in_binary64`
267×	`distribute-lft-in_binary64`
234×	`associate-/l*_binary64`

Counts

133 → 99

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	431	7302
1	1302	6371
2	5155	6371

prune85.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	97	11	108

Error

0.1b

Counts

108 → 11

Alt Table

Status	Error	Program
	40.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 2 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x))))))))
	37.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x)))))))
	43.9b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (*.f64 t t) (-.f64 x 1))))))
	40.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	37.7b	(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))))))
✓	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (.f64 x x)))))))
▶	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))))
	53.9b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 t t) (.f64 l (.f64 x x))) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))))) (+.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))) (+.f64 (.f64 2 (/.f64 (.f64 t t) (.f64 l x))) (/.f64 (*.f64 t t) l))))))
	35.7b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 x (sqrt.f64 2)))) (/.f64 (.f64 l l) (.f64 x (*.f64 t (sqrt.f64 2)))))))
	63.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))

Compiler

Compiled 5197 to 2290 computations (55.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.9b	(/.f64 (.f64 t t) (.f64 x x))
15.9b	(/.f64 (.f64 t t) (.f64 x x))
25.8b	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
25.8b	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))

rewrite144.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

48×	`associate-*r/_binary64`
44×	`frac-add_binary64`
28×	`sqrt-div_binary64`
28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`

Counts

4 → 96

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
11.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
8.0ms	(/.f64 (.f64 t t) (.f64 x x))
5.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 11805 to 2347 computations (80.1% saved)

series762.0ms (7.5%)

Error

0.1b

Counts

4 → 62

Calls

4 calls:

332.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
300.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (*.f64 t t))))))
20.0ms	(/.f64 (.f64 t t) (.f64 x x))
19.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 20533 to 14257 computations (30.6% saved)

simplify181.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-r_binary64`
402×	`associate-l_binary64`
305×	`distribute-rgt-in_binary64`
294×	`distribute-lft-in_binary64`
268×	`times-frac_binary64`

Counts

158 → 120

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	13468
1	1219	11544
2	5249	11544

prune134.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	120	11	131

Error

0.1b

Counts

131 → 11

Alt Table

Status	Error	Program
	40.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 2 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x))))))))
	37.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x)))))))
	43.9b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (*.f64 t t) (-.f64 x 1))))))
	40.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	37.7b	(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))))))
✓	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (.f64 x x)))))))
✓	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))))
	53.9b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 t t) (.f64 l (.f64 x x))) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))))) (+.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))) (+.f64 (.f64 2 (/.f64 (.f64 t t) (.f64 l x))) (/.f64 (*.f64 t t) l))))))
▶	35.7b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 x (sqrt.f64 2)))) (/.f64 (.f64 l l) (.f64 x (*.f64 t (sqrt.f64 2)))))))
	63.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))

Compiler

Compiled 11458 to 4355 computations (62% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 t (sqrt.f64 2))
0.4b	(*.f64 t (sqrt.f64 2))
0.4b	(*.f64 (sqrt.f64 2) t)
12.1b	(/.f64 (.f64 l l) (.f64 x (*.f64 t (sqrt.f64 2))))

rewrite99.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
25×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64`

Counts

4 → 91

Calls

4 calls:

7.0ms	(/.f64 (.f64 l l) (.f64 x (*.f64 t (sqrt.f64 2))))
5.0ms	(*.f64 (sqrt.f64 2) t)
4.0ms	(*.f64 t (sqrt.f64 2))
4.0ms	(*.f64 t (sqrt.f64 2))

Compiler

Compiled 2834 to 1952 computations (31.1% saved)

series66.0ms (0.6%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

41.0ms	(/.f64 (.f64 l l) (.f64 x (*.f64 t (sqrt.f64 2))))
8.0ms	(*.f64 t (sqrt.f64 2))
7.0ms	(*.f64 (sqrt.f64 2) t)
7.0ms	(*.f64 t (sqrt.f64 2))

Compiler

Compiled 1242 to 948 computations (23.7% saved)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-*l/_binary64`
440×	`associate-*r/_binary64`
437×	`associate-/l/_binary64`
287×	`*-commutative_binary64`
250×	`sub-neg_binary64`

Counts

109 → 66

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	1451
1	248	1198
2	1166	1198
3	3555	1198
4	4421	1198
5	4932	1198
6	5066	1198

prune45.0ms (0.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	66	11	77

Error

0.1b

Counts

77 → 11

Alt Table

Status	Error	Program
	40.2b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 t (sqrt.f64 (+.f64 2 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x))))))))
	37.5b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 t (sqrt.f64 (+.f64 2 (+.f64 (/.f64 4 x) (/.f64 4 (*.f64 x x)))))))
	43.9b	(.f64 (.f64 t (sqrt.f64 2)) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 t t) x) (-.f64 x 1)) (/.f64 (*.f64 t t) (-.f64 x 1))))))
	40.4b	(neg.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1)))))))
	37.7b	(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))))))
	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)) (/.f64 (.f64 l l) (.f64 x x)))))))
	30.0b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (.f64 t t))))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (/.f64 (.f64 t t) x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (+.f64 (/.f64 (.f64 l l) x) (.f64 t t)))))))))
	55.1b	(/.f64 (.f64 (sqrt.f64 2) t) (neg.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))))
	53.9b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 t t) (.f64 l (.f64 x x))) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))))) (+.f64 (.f64 l (sqrt.f64 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (.f64 x x))))) (+.f64 (.f64 2 (/.f64 (.f64 t t) (.f64 l x))) (/.f64 (*.f64 t t) l))))))
	35.7b	(/.f64 (.f64 (sqrt.f64 2) t) (+.f64 (.f64 t (sqrt.f64 2)) (+.f64 (.f64 2 (/.f64 t (.f64 x (sqrt.f64 2)))) (/.f64 (.f64 l l) (.f64 x (*.f64 t (sqrt.f64 2)))))))
	63.2b	(/.f64 (.f64 (sqrt.f64 2) t) (.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) 1))))

Compiler

Compiled 1577 to 1083 computations (31.3% saved)

regimes2.1s (21%)

Accuracy

Total 9.2b remaining (93.2%)

Threshold costs 0b (0%)

Compiler

Compiled 37864 to 24916 computations (34.2% saved)

bsearch498.0ms (4.9%)

Steps

Iters	Range		Point
6	2.0374327442254102e+52	2.259882797287193e+53	4.47805730708622e+52
9	5.987083090028422e-182	1.1441401561048837e-173	6.110738326698442e-182
1	-2.418720054482044e-305	3.3131353020278605e-305	4.367261950907306e-309
10	-1.6576411786665444e-139	-1.061113795084408e-149	-1.0772899486568456e-149
8	-1.2686364896277905e+80	-1.323770137680415e+77	-2.4402300862622605e+79

Compiler

Compiled 4 to 3 computations (25% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
26×	`+-commutative_binary64`
14×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	322
1	122	322
2	150	322
3	171	322
4	190	322
5	202	322
6	208	322
7	211	322
8	212	322
9	210	322

end3.0ms (0%)

Compiler: Compiled 214 to 132 computations (38.3% saved)

sample2.6s (25.3%)

Algorithm

1×

intervals

Results

518.0ms	5332×	body	128	valid
422.0ms	1147×	body	1024	valid
277.0ms	785×	body	1024	nan
230.0ms	898×	body	512	valid
141.0ms	1534×	body	128	nan
131.0ms	496×	body	512	nan
106.0ms	559×	body	256	valid
55.0ms	306×	body	256	nan
30.0ms	64×	body	2048	valid

Compiler

Compiled 640 to 405 computations (36.7% saved)

Iter	Nodes	Cost
0	81	322
1	122	322
2	150	322
3	171	322
4	190	322
5	202	322
6	208	322
7	211	322
8	212	322
9	210	322

Iter	Nodes	Cost
0	81	322
1	122	322
2	150	322
3	171	322
4	190	322
5	202	322
6	208	322
7	211	322
8	212	322
9	210	322

Details

analyze1.1s (10.8%)

sample75.0ms (0.7%)

simplify69.0ms (0.7%)

prune2.0ms (0%)

localize15.0ms (0.2%)

rewrite197.0ms (1.9%)

series925.0ms (9.1%)

simplify144.0ms (1.4%)

prune104.0ms (1%)

localize20.0ms (0.2%)

rewrite107.0ms (1.1%)

series388.0ms (3.8%)

simplify114.0ms (1.1%)

prune85.0ms (0.8%)

localize30.0ms (0.3%)

rewrite144.0ms (1.4%)

series762.0ms (7.5%)

simplify181.0ms (1.8%)

prune134.0ms (1.3%)

localize17.0ms (0.2%)

rewrite99.0ms (1%)

series66.0ms (0.6%)

simplify106.0ms (1%)

prune45.0ms (0.4%)

regimes2.1s (21%)

bsearch498.0ms (4.9%)

simplify17.0ms (0.2%)

end3.0ms (0%)

sample2.6s (25.3%)

Profiling

Iter	Nodes	Cost
0	81	322
1	122	322
2	150	322
3	171	322
4	190	322
5	202	322
6	208	322
7	211	322
8	212	322
9	210	322