Details

analyze72.0ms (3%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify102.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))
0.0b	(*.f64 500 (-.f64 x y))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_5556`
7×	`*-un-lft-identity_binary64_5534`
6×	`cancel-sign-sub-inv_binary64_5500`
5×	`associate-r_binary64_5474` `add-cube-cbrt_binary64_5569`
4×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
3×	`associate-l_binary64_5475` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
2×	`associate-*r/_binary64_5476` `sub-neg_binary64_5527`
1×	`cbrt-unprod_binary64_5567` `distribute-lft-out--_binary64_5486` `*-commutative_binary64_5465` `add-log-exp_binary64_5573` `flip--_binary64_5509` `unswap-sqr_binary64_5502` `difference-of-squares_binary64_5503` `flip3--_binary64_5538` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`

Counts

1 → 30

Calls

2 calls:

12.0ms	(*.f64 500 (-.f64 x y))
0.0ms	(*.f64 500 (-.f64 x y))

series63.0ms (2.6%)

Counts

1 → 12

Calls

1 calls:

63.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify41.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4959	343
1	4959	343

prune33.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 359 to 209 computations (41.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 500 x) (.f64 y -500))
0.0b	(+.f64 (.f64 500 x) (.f64 y -500))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5573`
1×	`flip-+_binary64_5508` `flip3-+_binary64_5537` `+-commutative_binary64_5464` `*-un-lft-identity_binary64_5534` `sum-log_binary64_5625` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569` `pow1_binary64_5595`

Counts

1 → 11

Calls

2 calls:

5.0ms	(+.f64 (.f64 500 x) (.f64 y -500))
0.0ms	(+.f64 (.f64 500 x) (.f64 y -500))

series78.0ms (3.2%)

Counts

1 → 12

Calls

1 calls:

78.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4964	204
1	4964	204

prune14.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 199 to 123 computations (38.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
0.3b	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.3b	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.3b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_5556`
11×	`associate-l_binary64_5475`
9×	`*-un-lft-identity_binary64_5534` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
7×	`sqrt-prod_binary64_5550` `associate-r_binary64_5474` `add-cube-cbrt_binary64_5569`
4×	`associate-*l/_binary64_5477` `cbrt-unprod_binary64_5567` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
2×	`associate-r/_binary64_5476` `-commutative_binary64_5465` `add-log-exp_binary64_5573` `flip--_binary64_5509` `unswap-sqr_binary64_5502` `flip3--_binary64_5538`
1×	`distribute-lft-out--_binary64_5486` `difference-of-squares_binary64_5503`

Counts

2 → 49

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
9.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))

series250.0ms (10.3%)

Counts

2 → 24

Calls

2 calls:

148.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
102.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

Compiler

Compiled 390 to 402 computations (-3.1% saved)

simplify55.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5416	711

prune50.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 787 to 517 computations (34.3% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.3b	(.f64 (.f64 500 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) (cbrt.f64 (-.f64 x y)))
0.3b	(.f64 500 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))))
0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))

rewrite33.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_5565`
37×	`add-sqr-sqrt_binary64_5556`
35×	`*-un-lft-identity_binary64_5534`
18×	`cbrt-div_binary64_5566`
15×	`add-cube-cbrt_binary64_5569`
11×	`pow1_binary64_5595`
10×	`swap-sqr_binary64_5501`
9×	`distribute-lft-out--_binary64_5486` `flip--_binary64_5509` `flip3--_binary64_5538` `pow1/3_binary64_5616`
8×	`associate-l_binary64_5475` `associate-r_binary64_5474`
7×	`difference-of-squares_binary64_5503`
6×	`add-exp-log_binary64_5572`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476` `pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583`

Counts

4 → 101

Calls

8 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
0.0ms	(.f64 500 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))))

series389.0ms (16.1%)

Counts

4 → 39

Calls

4 calls:

163.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
77.0ms	(cbrt.f64 (-.f64 x y))
76.0ms	(cbrt.f64 (-.f64 x y))
72.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 1722 to 1374 computations (20.2% saved)

simplify75.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4932	1960
1	4932	1960

prune113.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	140	3	143

Error

Counts

143 → 3

Compiler

Compiled 2889 to 944 computations (67.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	132
1	46	132

regimes111.0ms (4.6%)

Compiler: Compiled 514 to 448 computations (12.8% saved)

bsearch0.0ms (0%)

regimes47.0ms (1.9%)

Compiler: Compiled 76 to 112 computations (-47.4% saved)

bsearch0.0ms (0%)

regimes80.0ms (3.3%)

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

bsearch69.0ms (2.9%)

Steps

Iters	Range		Point
11	6.359488341454339e+68	5.2800181309534735e+96	6.652556681724243e+68
7	1.096693703387436e+56	3.646891670925664e+57	2.666617938657969e+56
9	168188903820.53632	61736752419681576.0	615540957539.4889
8	5.805194798300946e-71	2.4590966459452017e-66	1.458888362185229e-67
9	4.337400840385777e-109	7.006478989519684e-103	6.916875205818669e-103
9	-5.2960303310286235e-36	-3.2277965573561047e-41	-3.4064774645020087e-37

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.7%)

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

bsearch0.0ms (0%)

regimes18.0ms (0.7%)

Accuracy

Total 0.0b remaining (84.7%)

Threshold costs 0.0b (84.7%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.2%)

Compiler: Compiled 61 to 53 computations (13.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	72
1	81	72

end0.0ms (0%)

sample542.0ms (22.4%)

Algorithm

1×

intervals

Results

148.0ms	7975×	body	128	valid
5.0ms	75×	body	128	invalid
0.0ms	8×	body	1024	valid
0.0ms	6×	body	2048	valid
0.0ms	3×	body	256	valid
0.0ms	8×	body	512	valid

Compiler

Compiled 145 to 131 computations (9.7% saved)

Pareto

0.5797503727165901

Details

analyze72.0ms (3%)

sample12.0ms (0.5%)

simplify102.0ms (4.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite14.0ms (0.6%)

series63.0ms (2.6%)

simplify41.0ms (1.7%)

prune33.0ms (1.4%)

localize5.0ms (0.2%)

rewrite6.0ms (0.3%)

series78.0ms (3.2%)

simplify71.0ms (2.9%)

prune14.0ms (0.6%)

localize6.0ms (0.2%)

rewrite24.0ms (1%)

series250.0ms (10.3%)

simplify55.0ms (2.3%)

prune50.0ms (2.1%)

localize8.0ms (0.3%)

rewrite33.0ms (1.4%)

series389.0ms (16.1%)

simplify75.0ms (3.1%)

prune113.0ms (4.7%)

simplify4.0ms (0.2%)

regimes111.0ms (4.6%)

bsearch0.0ms (0%)

regimes47.0ms (1.9%)

bsearch0.0ms (0%)

regimes80.0ms (3.3%)

bsearch69.0ms (2.9%)

regimes17.0ms (0.7%)

bsearch0.0ms (0%)

regimes18.0ms (0.7%)

bsearch4.0ms (0.2%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample542.0ms (22.4%)

Profiling