Details

analyze77.0ms (0.9%)

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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	213×	body	128	valid
2.0ms	20×	body	1024	valid
1.0ms	16×	body	512	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify279.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune2.0ms (0%)

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

Error

22.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

9.5b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
2.6b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(*.f64 (-.f64 1 x) y)
2.6b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
9.5b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_21383`
17×	`add-sqr-sqrt_binary64_21405`
10×	`add-cbrt-cube_binary64_21419` `cancel-sign-sub-inv_binary64_21349` `add-exp-log_binary64_21421`
9×	`add-cube-cbrt_binary64_21418`
8×	`times-frac_binary64_21389`
6×	`associate-l_binary64_21324`
5×	`add-log-exp_binary64_21422` `pow1_binary64_21444`
4×	`associate-l/_binary64_21326` `associate-/r_binary64_21327` `associate-/r/_binary64_21329` `difference-of-squares_binary64_21352`
3×	`distribute-lft-out_binary64_21334` `flip--_binary64_21358` `flip3--_binary64_21387` `associate-r_binary64_21323`
2×	`flip-+_binary64_21357` `distribute-lft-out--_binary64_21335` `prod-exp_binary64_21432` `cbrt-undiv_binary64_21417` `cbrt-unprod_binary64_21416` `flip3-+_binary64_21386` `associate-/l/_binary64_21330` `div-inv_binary64_21380` `div-exp_binary64_21434`
1×	`associate-/l_binary64_21328` `sub-neg_binary64_21376` `clear-num_binary64_21382` `frac-2neg_binary64_21394` `pow-prod-down_binary64_21454` `unswap-sqr_binary64_21351` `diff-log_binary64_21475` `-commutative_binary64_21314`

Counts

3 → 74

Calls

6 calls:

10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.0ms	(*.f64 (-.f64 1 x) y)
0.0ms	(*.f64 (-.f64 1 x) y)
0.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))

series313.0ms (3.6%)

Counts

3 → 45

Calls

3 calls:

134.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
117.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
61.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 819 to 672 computations (17.9% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5272	1940

prune170.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 1915 to 1285 computations (32.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

9.5b	(/.f64 (neg.f64 (*.f64 x y)) (+.f64 y 1))
9.5b	(/.f64 (neg.f64 (*.f64 x y)) (+.f64 y 1))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_21383`
24×	`times-frac_binary64_21389`
13×	`add-cube-cbrt_binary64_21418` `add-sqr-sqrt_binary64_21405`
7×	`distribute-lft-out_binary64_21334`
6×	`associate-/l*_binary64_21328`
5×	`neg-mul-1_binary64_21379` `distribute-lft-neg-in_binary64_21340` `distribute-rgt-neg-in_binary64_21341`
4×	`associate-/r*_binary64_21327`
3×	`add-cbrt-cube_binary64_21419` `add-exp-log_binary64_21421`
2×	`associate-/r/_binary64_21329`
1×	`flip-+_binary64_21357` `div-sub_binary64_21388` `clear-num_binary64_21382` `cbrt-undiv_binary64_21417` `frac-2neg_binary64_21394` `add-log-exp_binary64_21422` `flip3-+_binary64_21386` `distribute-frac-neg_binary64_21346` `pow1_binary64_21444` `div-inv_binary64_21380` `neg-sub0_binary64_21378` `div-exp_binary64_21434`

Counts

1 → 50

Calls

2 calls:

6.0ms	(/.f64 (neg.f64 (*.f64 x y)) (+.f64 y 1))
0.0ms	(/.f64 (neg.f64 (*.f64 x y)) (+.f64 y 1))

series88.0ms (1%)

Counts

1 → 15

Calls

1 calls:

87.0ms

(/.f64 (neg.f64 (*.f64 x y)) (+.f64 y 1))

Compiler

Compiled 212 to 178 computations (16% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5804	1055

prune55.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

0.0b

Counts

69 → 4

Compiler

Compiled 1011 to 573 computations (43.3% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

13.0b	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
4.1b	(+.f64 1 (.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y))))
0.0b	(-.f64 (*.f64 x y) y)
0.0b	(+.f64 (*.f64 y y) (-.f64 1 y))
0.0b	(-.f64 (*.f64 x y) y)
4.1b	(+.f64 1 (.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y))))
13.0b	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
18.1b	(.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y)))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64_21383`
33×	`times-frac_binary64_21389`
30×	`add-sqr-sqrt_binary64_21405`
25×	`add-cube-cbrt_binary64_21418`
22×	`associate-l_binary64_21324`
11×	`add-cbrt-cube_binary64_21419` `add-exp-log_binary64_21421`
10×	`distribute-rgt-out--_binary64_21337`
9×	`distribute-lft-out_binary64_21334`
8×	`add-log-exp_binary64_21422`
6×	`pow1_binary64_21444`
5×	`flip-+_binary64_21357` `flip3-+_binary64_21386`
4×	`associate-/l_binary64_21328` `associate-/r_binary64_21327` `associate-/r/_binary64_21329`
3×	`cancel-sign-sub-inv_binary64_21349` `associate-r_binary64_21323`
2×	`associate-*r/_binary64_21325` `prod-exp_binary64_21432` `cbrt-undiv_binary64_21417` `cbrt-unprod_binary64_21416` `distribute-lft-in_binary64_21332` `flip--_binary64_21358` `unswap-sqr_binary64_21351` `flip3--_binary64_21387` `associate-/l/_binary64_21330` `distribute-rgt-in_binary64_21333` `div-inv_binary64_21380` `frac-times_binary64_21393` `div-exp_binary64_21434` `associate-+r+_binary64_21315`
1×	`div-sub_binary64_21388` `associate-l/_binary64_21326` `sub-neg_binary64_21376` `clear-num_binary64_21382` `frac-2neg_binary64_21394` `+-commutative_binary64_21313` `pow-prod-down_binary64_21454` `sum-log_binary64_21474` `diff-log_binary64_21475` `-commutative_binary64_21314`

Counts

4 → 116

Calls

8 calls:

21.0ms	(.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y)))
15.0ms	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
4.0ms	(-.f64 (*.f64 x y) y)
4.0ms	(+.f64 1 (.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y))))
0.0ms	(+.f64 (*.f64 y y) (-.f64 1 y))

series1.2s (13.6%)

Counts

4 → 61

Calls

4 calls:

626.0ms	(+.f64 1 (.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y))))
262.0ms	(.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 1 y)))
227.0ms	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
60.0ms	(-.f64 (*.f64 x y) y)

Compiler

Compiled 2245 to 1782 computations (20.6% saved)

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4965	4963
1	4965	4963

prune251.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	177	4	181

Error

0.0b

Counts

181 → 4

Compiler

Compiled 5219 to 2943 computations (43.6% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

12.0b	(.f64 (-.f64 1 y) (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))))
3.2b	(+.f64 1 (.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (*.f64 y y)))
0.0b	(-.f64 (*.f64 x y) y)
0.0b	(-.f64 (*.f64 x y) y)
12.0b	(.f64 (-.f64 1 y) (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))))
13.0b	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
13.0b	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
18.8b	(.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (*.f64 y y))

rewrite86.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`*-un-lft-identity_binary64_21383`
66×	`times-frac_binary64_21389`
54×	`add-sqr-sqrt_binary64_21405`
43×	`add-cube-cbrt_binary64_21418`
28×	`associate-l_binary64_21324`
25×	`add-cbrt-cube_binary64_21419` `add-exp-log_binary64_21421`
23×	`associate-r_binary64_21323`
18×	`distribute-lft-out_binary64_21334` `distribute-rgt-out--_binary64_21337`
11×	`pow1_binary64_21444`
8×	`associate-/l_binary64_21328` `prod-exp_binary64_21432` `associate-/r_binary64_21327` `cbrt-unprod_binary64_21416` `associate-/r/_binary64_21329`
5×	`cbrt-undiv_binary64_21417` `div-exp_binary64_21434`
4×	`flip-+_binary64_21357` `add-log-exp_binary64_21422` `flip3-+_binary64_21386` `pow-prod-down_binary64_21454` `flip--_binary64_21358` `unswap-sqr_binary64_21351` `flip3--_binary64_21387` `associate-/l/_binary64_21330` `div-inv_binary64_21380`
3×	`associate-*l/_binary64_21326`
2×	`div-sub_binary64_21388` `clear-num_binary64_21382` `frac-2neg_binary64_21394` `frac-times_binary64_21393` `difference-of-squares_binary64_21352` `*-commutative_binary64_21314`
1×	`associate-*r/_binary64_21325` `distribute-lft-out--_binary64_21335`

Counts

4 → 174

Calls

8 calls:

19.0ms	(.f64 (-.f64 1 y) (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))))
16.0ms	(.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (*.f64 y y))
11.0ms	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
11.0ms	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
0.0ms	(-.f64 (*.f64 x y) y)

series1.0s (11.7%)

Counts

4 → 65

Calls

4 calls:

287.0ms	(.f64 (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))) (*.f64 y y))
244.0ms	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))
241.0ms	(.f64 (-.f64 1 y) (/.f64 (-.f64 (.f64 x y) y) (+.f64 1 (pow.f64 y 3))))
238.0ms	(/.f64 (-.f64 (*.f64 x y) y) (+.f64 1 (pow.f64 y 3)))

Compiler

Compiled 3353 to 2497 computations (25.5% saved)

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4976	5908
1	4976	5908

prune537.0ms (6.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	238	5	243

Error

0.0b

Counts

243 → 5

Compiler

Compiled 9779 to 5467 computations (44.1% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	1858	1191
1	1858	1191

regimes427.0ms (4.9%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Compiler

Compiled 2882 to 2351 computations (18.4% saved)

bsearch52.0ms (0.6%)

Steps

Iters	Range		Point
9	56.014853795615146	48223478.06478748	11013.798141579568
10	-148801257998515.0	-9008.080073937497	-1175788890.492152

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	145	159
1	145	159

end0.0ms (0%)

sample3.6s (41%)

Algorithm

1×

intervals

Results

215.0ms	6319×	body	128	valid
72.0ms	582×	body	1024	valid
62.0ms	687×	body	512	valid
26.0ms	406×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 2660 to 2084 computations (21.7% saved)

Pareto

0.1932236734766342

Details

analyze77.0ms (0.9%)

sample23.0ms (0.3%)

simplify279.0ms (3.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite32.0ms (0.4%)

series313.0ms (3.6%)

simplify68.0ms (0.8%)

prune170.0ms (2%)

localize6.0ms (0.1%)

rewrite10.0ms (0.1%)

series88.0ms (1%)

simplify58.0ms (0.7%)

prune55.0ms (0.6%)

localize13.0ms (0.2%)

rewrite56.0ms (0.6%)

series1.2s (13.6%)

simplify109.0ms (1.3%)

prune251.0ms (2.9%)

localize17.0ms (0.2%)

rewrite86.0ms (1%)

series1.0s (11.7%)

simplify125.0ms (1.4%)

prune537.0ms (6.2%)

simplify58.0ms (0.7%)

regimes427.0ms (4.9%)

bsearch52.0ms (0.6%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.6s (41%)

Profiling