Details

analyze228.0ms (6.1%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify172.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	134	18
1	134	18

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 2.3b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.4b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
6.9b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_12141` `*-un-lft-identity_binary64_12119`
14×	`add-cube-cbrt_binary64_12154`
9×	`times-frac_binary64_12125`
8×	`add-log-exp_binary64_12158` `add-cbrt-cube_binary64_12155`
7×	`add-exp-log_binary64_12157`
6×	`pow1_binary64_12180`
3×	`associate-l_binary64_12060` `associate-r_binary64_12059` `associate-/r_binary64_12063` `associate-/l_binary64_12064`
2×	`flip3--_binary64_12123` `flip--_binary64_12094` `associate-/r/_binary64_12065`
1×	`flip-+_binary64_12093` `cbrt-undiv_binary64_12153` `sub-neg_binary64_12112` `pow-prod-down_binary64_12190` `+-commutative_binary64_12049` `div-exp_binary64_12170` `prod-exp_binary64_12168` `cancel-sign-sub-inv_binary64_12085` `distribute-lft-out_binary64_12070` `clear-num_binary64_12118` `unswap-sqr_binary64_12087` `frac-2neg_binary64_12130` `sum-log_binary64_12210` `cbrt-unprod_binary64_12152` `div-inv_binary64_12116` `flip3-+_binary64_12122` `diff-log_binary64_12211` `*-commutative_binary64_12050`

Counts

4 → 71

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
5.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))

series376.0ms (10%)

Counts

4 → 12

Calls

4 calls:

181.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
98.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
79.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
19.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5068	1533

prune144.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 2524 to 1463 computations (42% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)
0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)))
0.0b	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
0.1b	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

rewrite51.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_12119`
27×	`add-sqr-sqrt_binary64_12141`
18×	`times-frac_binary64_12125`
17×	`add-cube-cbrt_binary64_12154`
12×	`add-exp-log_binary64_12157`
11×	`add-cbrt-cube_binary64_12155`
8×	`add-log-exp_binary64_12158` `associate-/r*_binary64_12063`
5×	`difference-of-squares_binary64_12088` `distribute-lft-out--_binary64_12071` `pow1_binary64_12180`
4×	`div-exp_binary64_12170` `associate-/l*_binary64_12064`
3×	`cbrt-undiv_binary64_12153` `cancel-sign-sub-inv_binary64_12085` `div-inv_binary64_12116`
2×	`flip3--_binary64_12123` `distribute-lft-out_binary64_12070` `clear-num_binary64_12118` `flip--_binary64_12094` `associate-/r/_binary64_12065` `frac-2neg_binary64_12130`
1×	`flip-+_binary64_12093` `inv-pow_binary64_12204` `sub-neg_binary64_12112` `+-commutative_binary64_12049` `pow-flip_binary64_12193` `prod-exp_binary64_12168` `rec-exp_binary64_12169` `1-exp_binary64_12163` `sum-log_binary64_12210` `cbrt-unprod_binary64_12152` `flip3-+_binary64_12122` `diff-log_binary64_12211`

Counts

4 → 91

Calls

4 calls:

15.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)))
13.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))
9.0ms	(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)
6.0ms	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)

series367.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))
92.0ms	(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)
74.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)))
39.0ms	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)

simplify106.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4879	1917
1	4879	1917

prune102.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

Compiler

Compiled 1925 to 1191 computations (38.1% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

2.0b	(/.f64 y (-.f64 (pow.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) 3) (pow.f64 (.f64 y x) 3)))
3.7b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
3.8b	(.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))
23.7b	(.f64 (/.f64 y (-.f64 (pow.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) 3) (pow.f64 (.f64 y x) 3))) (+.f64 (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 5081767996463981/4503599627370496 (exp.f64 z))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))))

rewrite95.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64_12141`
55×	`times-frac_binary64_12125`
46×	`*-un-lft-identity_binary64_12119`
34×	`associate-l_binary64_12060`
32×	`add-cube-cbrt_binary64_12154`
28×	`sqr-pow_binary64_12091` `difference-of-squares_binary64_12088`
23×	`add-cbrt-cube_binary64_12155`
21×	`add-exp-log_binary64_12157`
18×	`pow1_binary64_12180`
10×	`prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
9×	`pow-prod-down_binary64_12190` `associate-/r*_binary64_12063`
7×	`difference-cubes_binary64_12121` `distribute-lft-out--_binary64_12071`
6×	`add-log-exp_binary64_12158`
4×	`associate-r_binary64_12059` `associate-/r/_binary64_12065`
3×	`flip-+_binary64_12093` `flip3-+_binary64_12122` `associate-/l*_binary64_12064`
2×	`cbrt-undiv_binary64_12153` `div-exp_binary64_12170` `flip3--_binary64_12123` `frac-times_binary64_12129` `flip--_binary64_12094` `unswap-sqr_binary64_12087` `associate-r/_binary64_12061` `div-inv_binary64_12116` `-commutative_binary64_12050`
1×	`distribute-rgt-in_binary64_12069` `distribute-lft-in_binary64_12068` `+-commutative_binary64_12049` `distribute-rgt-out_binary64_12072` `associate-*l/_binary64_12062` `clear-num_binary64_12118` `frac-2neg_binary64_12130` `sum-log_binary64_12210`

Counts

4 → 145

Calls

4 calls:

35.0ms	(.f64 (/.f64 y (-.f64 (pow.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) 3) (pow.f64 (.f64 y x) 3))) (+.f64 (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 5081767996463981/4503599627370496 (exp.f64 z))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))))
11.0ms	(/.f64 y (-.f64 (pow.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) 3) (pow.f64 (.f64 y x) 3)))
9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
8.0ms	(.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

series680.0ms (18.1%)

Counts

4 → 12

Calls

4 calls:

369.0ms	(.f64 (/.f64 y (-.f64 (pow.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) 3) (pow.f64 (.f64 y x) 3))) (+.f64 (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 5081767996463981/4503599627370496 (exp.f64 z))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))))
131.0ms	(/.f64 y (-.f64 (pow.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) 3) (pow.f64 (.f64 y x) 3)))
97.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
83.0ms	(.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

simplify102.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5156	6065

prune447.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	157	3	160

Merged error: 0b

Counts

160 → 3

Compiler

Compiled 8611 to 4604 computations (46.5% saved)

regimes69.0ms (1.8%)

Compiler: Compiled 444 to 346 computations (22.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms (0%)

sample649.0ms (17.3%)

Algorithm

1×

intervals

Results

334.0ms

8000×

body

128

valid

Compiler

Compiled 104 to 84 computations (19.2% saved)

Details

analyze228.0ms (6.1%)

sample18.0ms (0.5%)

simplify172.0ms (4.6%)

prune3.0ms (0.1%)

localize13.0ms (0.3%)

rewrite34.0ms (0.9%)

series376.0ms (10%)

simplify71.0ms (1.9%)

prune144.0ms (3.8%)

localize9.0ms (0.2%)

rewrite51.0ms (1.4%)

series367.0ms (9.8%)

simplify106.0ms (2.8%)

prune102.0ms (2.7%)

localize21.0ms (0.5%)

rewrite95.0ms (2.5%)

series680.0ms (18.1%)

simplify102.0ms (2.7%)

prune447.0ms (11.9%)

regimes69.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample649.0ms (17.3%)

Profiling