Details

analyze34.0ms (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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	244×	body	128	valid
0.0ms	5×	body	512	valid
0.0ms	3×	body	2048	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify109.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	310	10
1	310	10

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_17167` `*-un-lft-identity_binary64_17128`
1×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `flip-+_binary64_17102` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `distribute-lft-out_binary64_17079` `div-sub_binary64_17133` `+-commutative_binary64_17058` `sum-log_binary64_17219` `associate-+r-_binary64_17062` `flip3-+_binary64_17131`

Counts

1 → 13

Calls

2 calls:

10.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))

series87.0ms (2.3%)

Counts

1 → 12

Calls

1 calls:

87.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5187	282

prune29.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Compiler

Compiled 304 to 185 computations (39.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
0.0b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_17167`
1×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `flip-+_binary64_17102` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `*-un-lft-identity_binary64_17128` `+-commutative_binary64_17058` `sum-log_binary64_17219` `flip3-+_binary64_17131`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
0.0ms	(+.f64 (.f64 y -1/2) (.f64 x 3/2))

series82.0ms (2.2%)

Counts

1 → 12

Calls

1 calls:

82.0ms

(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4985	259
1	4985	259

prune21.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Error

0.0b

Counts

27 → 5

Compiler

Compiled 294 to 214 computations (27.2% saved)

localize10.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.4b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite64.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_17159`
35×	`*-un-lft-identity_binary64_17128`
23×	`add-sqr-sqrt_binary64_17150`
18×	`cbrt-div_binary64_17160`
15×	`add-cube-cbrt_binary64_17163`
11×	`pow1_binary64_17189`
9×	`pow1/3_binary64_17210` `flip-+_binary64_17102` `distribute-lft-out_binary64_17079` `swap-sqr_binary64_17095` `flip3-+_binary64_17131`
7×	`associate-r_binary64_17068` `associate-l_binary64_17069`
6×	`add-exp-log_binary64_17166`
4×	`add-cbrt-cube_binary64_17164` `frac-times_binary64_17138` `add-log-exp_binary64_17167` `unswap-sqr_binary64_17096`
2×	`associate-r/_binary64_17070` `associate-l/_binary64_17071` `pow-sqr_binary64_17101` `pow-prod-down_binary64_17199` `pow-prod-up_binary64_17198`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `*-commutative_binary64_17059` `pow2_binary64_17209` `pow-plus_binary64_17191`

Counts

4 → 95

Calls

8 calls:

23.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))

series559.0ms (15%)

Counts

4 → 43

Calls

4 calls:

188.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
125.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
123.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
122.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 2757 to 2260 computations (18% saved)

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4977	3084
1	4977	3084

prune207.0ms (5.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	137	6	143

Error

0.0b

Counts

143 → 6

Compiler

Compiled 4481 to 2643 computations (41% saved)

localize17.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))

rewrite77.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`cbrt-prod_binary64_17159`
39×	`*-un-lft-identity_binary64_17128`
37×	`add-sqr-sqrt_binary64_17150`
30×	`cbrt-div_binary64_17160`
19×	`add-cube-cbrt_binary64_17163`
12×	`swap-sqr_binary64_17095`
11×	`pow1_binary64_17189`
10×	`associate-r_binary64_17068` `associate-l_binary64_17069`
9×	`pow1/3_binary64_17210` `flip-+_binary64_17102` `distribute-lft-out_binary64_17079` `unswap-sqr_binary64_17096` `flip3-+_binary64_17131`
6×	`add-exp-log_binary64_17166`
4×	`add-cbrt-cube_binary64_17164` `frac-times_binary64_17138` `add-log-exp_binary64_17167`
2×	`associate-r/_binary64_17070` `associate-l/_binary64_17071` `pow-sqr_binary64_17101` `pow-prod-down_binary64_17199` `pow-prod-up_binary64_17198`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `*-commutative_binary64_17059` `pow2_binary64_17209` `pow-plus_binary64_17191`

Counts

4 → 109

Calls

8 calls:

31.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))

series592.0ms (15.9%)

Counts

4 → 41

Calls

4 calls:

193.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
134.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
134.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
131.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 4032 to 3027 computations (24.9% saved)

simplify120.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5117	3846

prune383.0ms (10.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	149	7	156

Error

Counts

156 → 7

Compiler

Compiled 8007 to 4782 computations (40.3% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	307	598
1	307	598

regimes142.0ms (3.8%)

Compiler: Compiled 1454 to 1062 computations (27% saved)

bsearch0.0ms (0%)

regimes56.0ms (1.5%)

Compiler: Compiled 22 to 42 computations (-90.9% saved)

bsearch27.0ms (0.7%)

Steps

Iters	Range		Point
9	9.719229751373861e-135	7.761777307018312e-127	7.793665111128999e-128
9	-12917940695.295689	-621.3516607826381	-64990176.80527286

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.5%)

Compiler: Compiled 16 to 34 computations (-112.5% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.5%)

Accuracy

Total 0.1b remaining (71.2%)

Threshold costs 0.1b (71.2%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 28 to 28 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	37
1	23	37

end0.0ms (0%)

sample804.0ms (21.6%)

Algorithm

1×

intervals

Results

187.0ms	7452×	body	128	valid
16.0ms	164×	body	2048	valid
15.0ms	186×	body	1024	valid
7.0ms	116×	body	512	valid
3.0ms	82×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 412 to 313 computations (24% saved)

Pareto

0.24984817291251282

Details

analyze34.0ms (0.9%)

sample17.0ms (0.5%)

simplify109.0ms (2.9%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series87.0ms (2.3%)

simplify62.0ms (1.7%)

prune29.0ms (0.8%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series82.0ms (2.2%)

simplify71.0ms (1.9%)

prune21.0ms (0.6%)

localize10.0ms (0.3%)

rewrite64.0ms (1.7%)

series559.0ms (15%)

simplify75.0ms (2%)

prune207.0ms (5.6%)

localize17.0ms (0.4%)

rewrite77.0ms (2.1%)

series592.0ms (15.9%)

simplify120.0ms (3.2%)

prune383.0ms (10.3%)

simplify14.0ms (0.4%)

regimes142.0ms (3.8%)

bsearch0.0ms (0%)

regimes56.0ms (1.5%)

bsearch27.0ms (0.7%)

regimes20.0ms (0.5%)

bsearch0.0ms (0%)

regimes17.0ms (0.5%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample804.0ms (21.6%)

Profiling