Details

analyze74.0ms (3.4%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify24.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 20 to 15 computations (25% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`sum-log_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `+-commutative_binary64` `flip-+_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))

series43.0ms (2%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))

simplify112.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4954	296
1	4954	296

prune20.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

Compiler

Compiled 297 to 168 computations (43.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))

rewrite42.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
20×	`*-un-lft-identity_binary64`
18×	`sqrt-prod_binary64`
16×	`add-cube-cbrt_binary64`
14×	`associate-r_binary64`
12×	`associate-l_binary64` `sqrt-div_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`pow1/2_binary64` `swap-sqr_binary64` `sqrt-pow1_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `unswap-sqr_binary64`
5×	`pow-prod-down_binary64` `pow-prod-up_binary64`
4×	`insert-posit16` `frac-times_binary64`
3×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `pow-sqr_binary64` `*-commutative_binary64`
2×	`distribute-lft-out_binary64` `associate-+r+_binary64` `associate-*l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
8.0ms	(*.f64 x (+.f64 x 2))
8.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))

series211.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(*.f64 x (+.f64 x 2))
57.0ms	(*.f64 x (+.f64 x 2))
52.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
39.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))

simplify127.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4921	2035
1	4921	2035

prune152.0ms (6.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0b

Counts

135 → 3

Compiler

Compiled 3107 to 1755 computations (43.5% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
0.1b	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
2.7b	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
27.7b	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

rewrite91.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow1_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
8×	`frac-times_binary64` `associate--l+_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`insert-posit16` `associate-*l/_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-r_binary64` `associate-/r/_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 123

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
20.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
18.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
14.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))

series290.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
107.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
27.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
26.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))

simplify161.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4942	3217
1	4942	3217

prune213.0ms (9.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	135	3	138

Merged error: 0b

Counts

138 → 3

Compiler

Compiled 4276 to 2667 computations (37.6% saved)

regimes56.0ms (2.5%)

Compiler: Compiled 331 to 242 computations (26.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample530.0ms (24%)

Algorithm

1×

intervals

Results

271.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 91 to 67 computations (26.4% saved)

Details

analyze74.0ms (3.4%)

sample15.0ms (0.7%)

simplify24.0ms (1.1%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

rewrite9.0ms (0.4%)

series43.0ms (2%)

simplify112.0ms (5.1%)

prune20.0ms (0.9%)

localize8.0ms (0.4%)

rewrite42.0ms (1.9%)

series211.0ms (9.6%)

simplify127.0ms (5.7%)

prune152.0ms (6.9%)

localize15.0ms (0.7%)

rewrite91.0ms (4.1%)

series290.0ms (13.1%)

simplify161.0ms (7.3%)

prune213.0ms (9.7%)

regimes56.0ms (2.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample530.0ms (24%)

Profiling