Details

analyze278.0ms (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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify173.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	201	13
1	201	13

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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5842`
1×	`pow1_binary64_5864` `add-sqr-sqrt_binary64_5827` `sub-neg_binary64_5799` `add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839` `diff-log_binary64_5895` `flip3--_binary64_5810` `add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806` `flip--_binary64_5781`

Counts

1 → 11

Calls

1 calls:

6.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series69.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

69.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4865	260
1	4865	260

prune15.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

Compiler

Compiled 254 to 150 computations (40.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
2.7b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.7b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite41.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_5827`
24×	`sqrt-prod_binary64_5821`
21×	`pow1_binary64_5864`
16×	`sqrt-div_binary64_5822`
14×	`add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
10×	`pow1/2_binary64_5883` `sqrt-pow1_binary64_5823`
9×	`flip3--_binary64_5810` `flip--_binary64_5781`
8×	`swap-sqr_binary64_5773`
6×	`associate-l_binary64_5749` `associate-r_binary64_5748` `add-log-exp_binary64_5842` `add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
5×	`pow-prod-up_binary64_5873`
4×	`frac-times_binary64_5816` `unswap-sqr_binary64_5774`
3×	`pow-sqr_binary64_5779` `pow-prod-down_binary64_5874`
2×	`rem-sqrt-square_binary64_5819` `associate-r/_binary64_5750` `associate-l/_binary64_5751`
1×	`prod-exp_binary64_5852` `rem-square-sqrt_binary64_5818` `cbrt-unprod_binary64_5836` `pow-plus_binary64_5866` `pow2_binary64_5884` `sub-neg_binary64_5799` `sqrt-unprod_binary64_5825` `*-commutative_binary64_5739` `diff-log_binary64_5895`

Counts

4 → 98

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
5.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
5.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
5.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

series399.0ms (15.5%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
127.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
77.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
65.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

simplify62.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5212	2208

prune124.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

Compiler

Compiled 2665 to 1507 computations (43.5% saved)

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z))))
3.7b	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
5.9b	(.f64 (.f64 y 16) (*.f64 z z))
27.3b	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite51.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
34×	`pow1_binary64_5864`
21×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `pow-prod-down_binary64_5874`
13×	`add-sqr-sqrt_binary64_5827` `add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
9×	`times-frac_binary64_5812`
6×	`add-log-exp_binary64_5842`
4×	`associate-l_binary64_5749`
3×	`associate-/l_binary64_5753` `associate-/r_binary64_5752`
2×	`associate-/l/_binary64_5755` `associate-/r/_binary64_5754` `associate-r_binary64_5748` `*-commutative_binary64_5739` `flip3--_binary64_5810` `flip--_binary64_5781`
1×	`flip3-+_binary64_5809` `flip-+_binary64_5780` `div-inv_binary64_5803` `cbrt-undiv_binary64_5837` `div-exp_binary64_5854` `sub-neg_binary64_5799` `frac-2neg_binary64_5817` `diff-log_binary64_5895` `clear-num_binary64_5805` `div-sub_binary64_5811`

Counts

4 → 92

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
12.0ms	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
8.0ms	(.f64 (.f64 y 16) (*.f64 z z))
7.0ms	(-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z))))

series368.0ms (14.3%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
103.0ms	(-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z))))
51.0ms	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
48.0ms	(.f64 (.f64 y 16) (*.f64 z z))

simplify82.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4992	2588
1	4992	2588

prune138.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

Compiler

Compiled 3110 to 1753 computations (43.6% saved)

regimes82.0ms (3.2%)

Compiler: Compiled 417 to 344 computations (17.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample546.0ms (21.3%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	128	valid
15.0ms	488×	body	128	invalid

Compiler

Compiled 72 to 60 computations (16.7% saved)

Details

analyze278.0ms (10.8%)

sample16.0ms (0.6%)

simplify173.0ms (6.8%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

rewrite6.0ms (0.3%)

series69.0ms (2.7%)

simplify77.0ms (3%)

prune15.0ms (0.6%)

localize10.0ms (0.4%)

rewrite41.0ms (1.6%)

series399.0ms (15.5%)

simplify62.0ms (2.4%)

prune124.0ms (4.8%)

localize19.0ms (0.7%)

rewrite51.0ms (2%)

series368.0ms (14.3%)

simplify82.0ms (3.2%)

prune138.0ms (5.4%)

regimes82.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample546.0ms (21.3%)

Profiling