Details

analyze71.0ms (2.1%)

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
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 (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify102.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune4.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_13757`
4×	`sum-log_binary64_13809`
2×	`pow1_binary64_13779` `flip3-+_binary64_13721` `add-cbrt-cube_binary64_13754` `+-commutative_binary64_13648` `add-exp-log_binary64_13756` `flip-+_binary64_13692` `add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
1×	`distribute-lft-out_binary64_13669` `associate-+l+_binary64_13651`

Counts

2 → 25

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))
0.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
0.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series171.0ms (5%)

Counts

2 → 21

Calls

2 calls:

126.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
45.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 262 to 240 computations (8.4% saved)

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4963	541
1	4963	541

prune35.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

Counts

48 → 3

Compiler

Compiled 562 to 284 computations (49.5% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
4×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `associate-r_binary64_13658` `add-exp-log_binary64_13756` `add-cube-cbrt_binary64_13753`
3×	`associate-l_binary64_13659`
2×	`associate-*r/_binary64_13660` `flip3-+_binary64_13721` `distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `flip-+_binary64_13692` `associate-+l+_binary64_13651`
1×	`*-commutative_binary64_13649` `distribute-lft-out_binary64_13669` `sum-log_binary64_13809` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `+-commutative_binary64_13648` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751`

Counts

2 → 36

Calls

4 calls:

7.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0ms	(*.f64 x (+.f64 x 2))

series161.0ms (4.8%)

Counts

2 → 21

Calls

2 calls:

122.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
39.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 262 to 240 computations (8.4% saved)

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5006	611

prune35.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 683 to 353 computations (48.3% saved)

localize13.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
0.0b	(*.f64 (+.f64 x 2) (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
0.1b	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
1.7b	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
28.6b	(/.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)))

rewrite86.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`associate-*r/_binary64_13660` `distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668`
20×	`add-cbrt-cube_binary64_13754` `add-exp-log_binary64_13756`
18×	`pow1_binary64_13779`
17×	`add-sqr-sqrt_binary64_13740`
16×	`*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
12×	`flip3-+_binary64_13721` `flip-+_binary64_13692`
9×	`prod-exp_binary64_13767` `times-frac_binary64_13724` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751`
8×	`frac-times_binary64_13728` `associate--l+_binary64_13655`
7×	`cancel-sign-sub-inv_binary64_13684`
6×	`add-log-exp_binary64_13757` `associate-l_binary64_13659`
4×	`associate-*l/_binary64_13661`
3×	`associate-/r_binary64_13662` `unpow-prod-down_binary64_13797` `associate-/l_binary64_13663` `flip3--_binary64_13722` `flip--_binary64_13693`
2×	`-commutative_binary64_13649` `associate-/r/_binary64_13664` `associate-r*_binary64_13658` `associate-/l/_binary64_13665`
1×	`frac-2neg_binary64_13729` `div-sub_binary64_13723` `sub-neg_binary64_13711` `unswap-sqr_binary64_13686` `sqr-pow_binary64_13690` `diff-log_binary64_13810` `div-exp_binary64_13769` `clear-num_binary64_13717` `cbrt-undiv_binary64_13752` `div-inv_binary64_13715`

Counts

4 → 126

Calls

8 calls:

27.0ms	(/.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)))
17.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
14.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
13.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
0.0ms	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

series773.0ms (22.7%)

Counts

4 → 51

Calls

4 calls:

418.0ms	(/.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)))
217.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
75.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
63.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))

Compiler

Compiled 1526 to 1226 computations (19.7% saved)

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5513	3468

prune242.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	177	3	180

Error

Counts

180 → 3

Compiler

Compiled 4894 to 3043 computations (37.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	122
1	67	122

regimes53.0ms (1.6%)

Compiler: Compiled 271 to 236 computations (12.9% saved)

bsearch0.0ms (0%)

regimes83.0ms (2.5%)

Compiler: Compiled 94 to 104 computations (-10.6% saved)

bsearch30.0ms (0.9%)

Steps

Iters	Range		Point
9	0.8154914558622987	4549153.763412014	2.024813580233853
9	-2.0909050747444504	-2.7215326199460134e-06	-1.9879762122458797

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes103.0ms (3%)

Compiler: Compiled 73 to 89 computations (-21.9% saved)

bsearch17.0ms (0.5%)

Steps

Iters	Range		Point
9	1.9891361092251266e-88	1.6408331001059173e-83	9.712121151576375e-87
0	-5.903822608923143e-58	-5.884870811925377e-58	-5.8943467104242605e-58

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes103.0ms (3%)

Compiler: Compiled 52 to 74 computations (-42.3% saved)

bsearch28.0ms (0.8%)

Steps

Iters	Range		Point
6	7.42355168853735e-40	3.3269389837670964e-39	3.083384684452112e-39
10	-3.297422448635959e-24	-1.6543856719283029e-34	-6.719132278111369e-33

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes63.0ms (1.9%)

Compiler: Compiled 37 to 59 computations (-59.5% saved)

bsearch22.0ms (0.7%)

Steps

Iters	Range		Point
7	2.30775612269984e+27	1.2549440423219001e+29	2.3354152405871072e+27
8	-2.0545587541886757e+23	-1.3864491127848e+19	-1.4114105871689388e+19

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.8%)

Compiler: Compiled 28 to 50 computations (-78.6% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.5%)

Accuracy

Total 0.0b remaining (68.3%)

Threshold costs 0.0b (68.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 105 to 62 computations (41% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	130
1	56	130

end0.0ms (0%)

sample872.0ms (25.7%)

Algorithm

1×

intervals

Results

440.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 199 to 159 computations (20.1% saved)

Pareto

0.15244264390313658

Details

analyze71.0ms (2.1%)

sample15.0ms (0.4%)

simplify102.0ms (3%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series171.0ms (5%)

simplify79.0ms (2.3%)

prune35.0ms (1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series161.0ms (4.8%)

simplify65.0ms (1.9%)

prune35.0ms (1%)

localize13.0ms (0.4%)

rewrite86.0ms (2.5%)

series773.0ms (22.7%)

simplify71.0ms (2.1%)

prune242.0ms (7.1%)

simplify4.0ms (0.1%)

regimes53.0ms (1.6%)

bsearch0.0ms (0%)

regimes83.0ms (2.5%)

bsearch30.0ms (0.9%)

regimes103.0ms (3%)

bsearch17.0ms (0.5%)

regimes103.0ms (3%)

bsearch28.0ms (0.8%)

regimes63.0ms (1.9%)

bsearch22.0ms (0.7%)

regimes27.0ms (0.8%)

bsearch0.0ms (0%)

regimes17.0ms (0.5%)

bsearch5.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample872.0ms (25.7%)

Profiling