Details

analyze556.0ms (15.5%)

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	54×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify170.0ms (4.7%)

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)

localize5.0ms (0.2%)

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_4831`
1×	`flip3--_binary64_4799` `pow1_binary64_4853` `sub-neg_binary64_4788` `add-exp-log_binary64_4830` `*-un-lft-identity_binary64_4795` `add-cbrt-cube_binary64_4828` `diff-log_binary64_4884` `add-sqr-sqrt_binary64_4816` `add-cube-cbrt_binary64_4827` `flip--_binary64_4770`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series81.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	6148	214

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

Compiler

Compiled 223 to 66 computations (70.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
2.0b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
2.0b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_4816`
24×	`sqrt-prod_binary64_4810`
21×	`pow1_binary64_4853`
16×	`sqrt-div_binary64_4811`
14×	`*-un-lft-identity_binary64_4795` `add-cube-cbrt_binary64_4827`
10×	`sqrt-pow1_binary64_4812` `pow1/2_binary64_4872`
9×	`flip3--_binary64_4799` `flip--_binary64_4770`
8×	`swap-sqr_binary64_4762`
6×	`add-exp-log_binary64_4830` `associate-r_binary64_4737` `associate-l_binary64_4738` `add-cbrt-cube_binary64_4828` `add-log-exp_binary64_4831`
5×	`pow-prod-up_binary64_4862`
4×	`unswap-sqr_binary64_4763` `frac-times_binary64_4805`
3×	`pow-sqr_binary64_4768` `pow-prod-down_binary64_4863`
2×	`associate-r/_binary64_4739` `associate-l/_binary64_4740` `rem-sqrt-square_binary64_4808`
1×	`sqrt-unprod_binary64_4814` `sub-neg_binary64_4788` `pow-plus_binary64_4855` `pow2_binary64_4873` `*-commutative_binary64_4728` `diff-log_binary64_4884` `cbrt-unprod_binary64_4825` `rem-square-sqrt_binary64_4807` `prod-exp_binary64_4841`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series519.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
175.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
83.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
79.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5221	2013

prune81.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

Compiler

Compiled 2336 to 356 computations (84.8% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
2.1b	(-.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))))
36.2b	(/.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))))))

rewrite66.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_4816`
29×	`*-un-lft-identity_binary64_4795`
27×	`times-frac_binary64_4801`
20×	`sqr-pow_binary64_4767` `difference-of-squares_binary64_4764`
19×	`add-cube-cbrt_binary64_4827`
11×	`add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
9×	`pow1_binary64_4853` `associate-/l*_binary64_4742`
8×	`distribute-rgt-in_binary64_4747` `add-log-exp_binary64_4831` `distribute-lft-in_binary64_4746`
5×	`distribute-lft-out--_binary64_4749` `difference-cubes_binary64_4797`
4×	`associate-+r+_binary64_4729` `associate-*r/_binary64_4739`
3×	`flip3-+_binary64_4798` `flip-+_binary64_4769` `associate-/r_binary64_4741` `associate-l*_binary64_4738` `cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
2×	`associate-/l/_binary64_4744` `flip3--_binary64_4799` `associate-/r/_binary64_4743` `flip--_binary64_4770`
1×	`sum-log_binary64_4883` `div-exp_binary64_4843` `clear-num_binary64_4794` `frac-2neg_binary64_4806` `sub-neg_binary64_4788` `cbrt-undiv_binary64_4826` `div-inv_binary64_4792` `associate-r_binary64_4737` `*-commutative_binary64_4728` `div-sub_binary64_4800` `diff-log_binary64_4884` `+-commutative_binary64_4727`

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))))))
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))
9.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

series976.0ms (27.1%)

Counts

4 → 12

Calls

4 calls:

355.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
319.0ms	(/.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))))))
179.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
123.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify98.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5149	5326

prune182.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0.0b

Counts

127 → 3

Compiler

Compiled 5393 to 1655 computations (69.3% saved)

regimes75.0ms (2.1%)

Compiler: Compiled 419 to 297 computations (29.1% 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%)

sample567.0ms (15.8%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
35.0ms	1421×	body	128	invalid

Compiler

Compiled 70 to 52 computations (25.7% saved)

Details

analyze556.0ms (15.5%)

sample18.0ms (0.5%)

simplify170.0ms (4.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite5.0ms (0.1%)

series81.0ms (2.2%)

simplify66.0ms (1.8%)

prune14.0ms (0.4%)

localize8.0ms (0.2%)

rewrite36.0ms (1%)

series519.0ms (14.4%)

simplify54.0ms (1.5%)

prune81.0ms (2.3%)

localize17.0ms (0.5%)

rewrite66.0ms (1.8%)

series976.0ms (27.1%)

simplify98.0ms (2.7%)

prune182.0ms (5%)

regimes75.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample567.0ms (15.8%)

Profiling