Details

analyze590.0ms (13.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	47×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify170.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	118	10
1	118	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2135`
1×	`add-sqr-sqrt_binary64_2120` `sub-neg_binary64_2092` `add-cube-cbrt_binary64_2131` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `*-un-lft-identity_binary64_2099` `flip3--_binary64_2103` `flip--_binary64_2074` `add-exp-log_binary64_2134` `diff-log_binary64_2188`

Counts

1 → 11

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

series93.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

92.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	6148	214

prune11.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

Compiler

Compiled 206 to 57 computations (72.3% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
2.3b	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
4.9b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
35.9b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

rewrite67.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_2120`
29×	`*-un-lft-identity_binary64_2099`
27×	`times-frac_binary64_2105`
20×	`sqr-pow_binary64_2071` `difference-of-squares_binary64_2068`
19×	`add-cube-cbrt_binary64_2131`
11×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
9×	`pow1_binary64_2157` `associate-/l*_binary64_2046`
8×	`distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050` `add-log-exp_binary64_2135`
5×	`difference-cubes_binary64_2101` `distribute-lft-out--_binary64_2053`
4×	`associate-*r/_binary64_2043` `associate-+r+_binary64_2033`
3×	`associate-l_binary64_2042` `flip3-+_binary64_2102` `prod-exp_binary64_2145` `associate-/r*_binary64_2045` `pow-prod-down_binary64_2167` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129`
2×	`associate-/l/_binary64_2048` `associate-/r/_binary64_2047` `flip3--_binary64_2103` `flip--_binary64_2074`
1×	`sub-neg_binary64_2092` `cbrt-undiv_binary64_2130` `-commutative_binary64_2032` `div-exp_binary64_2147` `sum-log_binary64_2187` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `+-commutative_binary64_2031` `associate-r*_binary64_2041` `clear-num_binary64_2098` `div-inv_binary64_2096` `diff-log_binary64_2188`

Counts

4 → 112

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
11.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
10.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
9.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))

series976.0ms (22.3%)

Counts

4 → 12

Calls

4 calls:

355.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
327.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
176.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
118.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5149	5326

prune181.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	124	2	126

Merged error: 0b

Counts

126 → 2

Compiler

Compiled 5456 to 1679 computations (69.2% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
22.9b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
22.9b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
25.5b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t)))))))

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2120`
22×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
18×	`times-frac_binary64_2105` `sqrt-prod_binary64_2114`
14×	`pow1_binary64_2157`
11×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
6×	`associate-/r*_binary64_2045` `sqrt-div_binary64_2115`
5×	`flip3-+_binary64_2102` `flip-+_binary64_2073`
4×	`associate-*r/_binary64_2043` `distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050` `add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `prod-exp_binary64_2145` `pow1/2_binary64_2176` `pow-prod-down_binary64_2167` `associate-/l*_binary64_2046` `sqrt-pow1_binary64_2116` `cbrt-unprod_binary64_2129`
2×	`pow-div_binary64_2171` `associate-/l/_binary64_2048` `associate-/r/_binary64_2047` `rem-sqrt-square_binary64_2112`
1×	`cbrt-undiv_binary64_2130` `-commutative_binary64_2032` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `associate-r*_binary64_2041` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

4 → 99

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t)))))))
9.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

series888.0ms (20.3%)

Counts

4 → 12

Calls

4 calls:

275.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t)))))))
255.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
246.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
112.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4961	4532
1	4961	4532

prune223.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Merged error: 0b

Counts

113 → 2

Compiler

Compiled 8107 to 2018 computations (75.1% saved)

regimes120.0ms (2.8%)

Compiler: Compiled 1252 to 689 computations (45% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample672.0ms (15.4%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
33.0ms	1275×	body	128	invalid

Compiler

Compiled 189 to 108 computations (42.9% saved)

Details

analyze590.0ms (13.5%)

sample24.0ms (0.5%)

simplify170.0ms (3.9%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series93.0ms (2.1%)

simplify65.0ms (1.5%)

prune11.0ms (0.2%)

localize16.0ms (0.4%)

rewrite67.0ms (1.5%)

series976.0ms (22.3%)

simplify98.0ms (2.2%)

prune181.0ms (4.1%)

localize20.0ms (0.5%)

rewrite57.0ms (1.3%)

series888.0ms (20.3%)

simplify81.0ms (1.9%)

prune223.0ms (5.1%)

regimes120.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample672.0ms (15.4%)

Profiling