Details

analyze106.0ms (3.2%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample29.0ms (0.9%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify629.0ms (18.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (460.0ms)

Iter	Nodes	Cost
0	3112	16
1	3112	16

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize19.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (/.f64 (*.f64 x y) 2))
7.8b	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_5875`
12×	`times-frac_binary64_5881`
11×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897`
5×	`distribute-lft-out_binary64_5826`
4×	`add-exp-log_binary64_5913` `associate-/r*_binary64_5819` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
3×	`associate-/l*_binary64_5820`
2×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `associate-/r/_binary64_5821` `pow1_binary64_5936`
1×	`cbrt-undiv_binary64_5909` `div-inv_binary64_5872` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `sum-log_binary64_5966` `+-commutative_binary64_5805` `clear-num_binary64_5874`

Counts

2 → 45

Calls

2 calls:

12.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
10.0ms	(+.f64 1 (/.f64 (*.f64 x y) 2))

series150.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

105.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))
45.0ms	(+.f64 1 (/.f64 (*.f64 x y) 2))

simplify114.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4979	974
1	4979	974

prune102.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

Compiler

Compiled 955 to 563 computations (41% saved)

localize22.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (/.f64 (*.f64 y x) 2))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
7.8b	(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

rewrite71.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_5881`
95×	`*-un-lft-identity_binary64_5875`
61×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897`
19×	`associate-/r*_binary64_5819`
17×	`distribute-lft-out_binary64_5826`
16×	`add-exp-log_binary64_5913`
10×	`add-cbrt-cube_binary64_5911`
8×	`div-exp_binary64_5926`
7×	`associate-/l*_binary64_5820`
6×	`div-inv_binary64_5872`
5×	`add-log-exp_binary64_5914`
4×	`cbrt-undiv_binary64_5909` `pow1_binary64_5936`
2×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `1-exp_binary64_5919` `associate-/l/_binary64_5822` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `rec-exp_binary64_5925`
1×	`inv-pow_binary64_5960` `associate-/r/_binary64_5821` `sum-log_binary64_5966` `+-commutative_binary64_5805` `pow-flip_binary64_5949`

Counts

3 → 133

Calls

3 calls:

20.0ms	(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
15.0ms	(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)
10.0ms	(+.f64 1 (/.f64 (*.f64 y x) 2))

series209.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

105.0ms	(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
64.0ms	(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)
39.0ms	(+.f64 1 (/.f64 (*.f64 y x) 2))

simplify214.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4907	3235
1	4907	3235

prune257.0ms (7.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	2	144

Merged error: 0b

Counts

144 → 2

Compiler

Compiled 3003 to 1859 computations (38.1% saved)

regimes160.0ms (4.7%)

Compiler: Compiled 821 to 617 computations (24.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

end0.0ms (0%)

sample1.3s (37.2%)

Algorithm

1×

intervals

Results

492.0ms	7999×	body	128	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 288 to 218 computations (24.3% saved)

Details

analyze106.0ms (3.2%)

sample29.0ms (0.9%)

simplify629.0ms (18.6%)

prune4.0ms (0.1%)

localize19.0ms (0.6%)

rewrite29.0ms (0.8%)

series150.0ms (4.4%)

simplify114.0ms (3.4%)

prune102.0ms (3%)

localize22.0ms (0.7%)

rewrite71.0ms (2.1%)

series209.0ms (6.2%)

simplify214.0ms (6.3%)

prune257.0ms (7.6%)

regimes160.0ms (4.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (37.2%)

Profiling