Details

analyze342.0ms (7.6%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	235×	body	128	valid
1.0ms	7×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	7×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify166.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_3820`
3×	`sum-log_binary64_3872` `*-un-lft-identity_binary64_3784`
1×	`flip-+_binary64_3758` `add-exp-log_binary64_3819` `add-sqr-sqrt_binary64_3805` `+-commutative_binary64_3716` `flip3-+_binary64_3787` `distribute-lft-out_binary64_3737` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817` `add-cube-cbrt_binary64_3816` `associate-+r+_binary64_3718`

Counts

1 → 14

Calls

1 calls:

8.0ms

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

series39.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5209	299

prune22.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

Compiler

Compiled 320 to 183 computations (42.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3820`
1×	`flip-+_binary64_3758` `add-exp-log_binary64_3819` `sum-log_binary64_3872` `add-sqr-sqrt_binary64_3805` `+-commutative_binary64_3716` `flip3-+_binary64_3787` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817` `add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series44.0ms (1%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5009	205

prune16.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

Compiler

Compiled 280 to 165 computations (41.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3812`
23×	`add-sqr-sqrt_binary64_3805`
18×	`cbrt-div_binary64_3813`
15×	`add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
11×	`pow1_binary64_3842`
9×	`flip-+_binary64_3758` `pow1/3_binary64_3863` `flip3-+_binary64_3787`
6×	`add-exp-log_binary64_3819` `associate-r_binary64_3726` `associate-l_binary64_3727` `swap-sqr_binary64_3751`
4×	`frac-times_binary64_3794` `unswap-sqr_binary64_3752` `add-log-exp_binary64_3820` `add-cbrt-cube_binary64_3817`
2×	`pow-prod-up_binary64_3851` `associate-r/_binary64_3728` `pow-prod-down_binary64_3852` `pow-sqr_binary64_3757` `associate-l/_binary64_3729`
1×	`prod-exp_binary64_3830` `pow2_binary64_3862` `*-commutative_binary64_3717` `pow-plus_binary64_3844` `cbrt-unprod_binary64_3814`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.2s (26.6%)

Counts

4 → 12

Calls

4 calls:

347.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
292.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
289.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
271.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4929	2291
1	4929	2291

prune166.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 3580 to 2076 computations (42% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3812`
23×	`add-sqr-sqrt_binary64_3805`
18×	`cbrt-div_binary64_3813`
15×	`add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
11×	`pow1_binary64_3842`
9×	`flip-+_binary64_3758` `pow1/3_binary64_3863` `flip3-+_binary64_3787`
6×	`add-exp-log_binary64_3819` `associate-r_binary64_3726` `associate-l_binary64_3727` `swap-sqr_binary64_3751`
4×	`frac-times_binary64_3794` `unswap-sqr_binary64_3752` `add-log-exp_binary64_3820` `add-cbrt-cube_binary64_3817`
2×	`pow-prod-up_binary64_3851` `associate-r/_binary64_3728` `pow-prod-down_binary64_3852` `pow-sqr_binary64_3757` `associate-l/_binary64_3729`
1×	`prod-exp_binary64_3830` `pow2_binary64_3862` `*-commutative_binary64_3717` `pow-plus_binary64_3844` `cbrt-unprod_binary64_3814`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.2s (26.1%)

Counts

4 → 12

Calls

4 calls:

349.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
281.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
273.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
273.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4929	2291
1	4929	2291

prune217.0ms (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

Compiler

Compiled 4742 to 2877 computations (39.3% saved)

regimes57.0ms (1.3%)

Compiler: Compiled 492 to 369 computations (25% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample638.0ms (14.2%)

Algorithm

1×

intervals

Results

231.0ms	7448×	body	128	valid
25.0ms	205×	body	1024	valid
14.0ms	168×	body	512	valid
10.0ms	77×	body	2048	valid
6.0ms	102×	body	256	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 183 to 137 computations (25.1% saved)

Details

analyze342.0ms (7.6%)

sample16.0ms (0.4%)

simplify166.0ms (3.7%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite10.0ms (0.2%)

series39.0ms (0.9%)

simplify58.0ms (1.3%)

prune22.0ms (0.5%)

localize6.0ms (0.1%)

rewrite4.0ms (0.1%)

series44.0ms (1%)

simplify77.0ms (1.7%)

prune16.0ms (0.4%)

localize10.0ms (0.2%)

rewrite32.0ms (0.7%)

series1.2s (26.6%)

simplify71.0ms (1.6%)

prune166.0ms (3.7%)

localize15.0ms (0.3%)

rewrite32.0ms (0.7%)

series1.2s (26.1%)

simplify78.0ms (1.7%)

prune217.0ms (4.8%)

regimes57.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample638.0ms (14.2%)

Profiling