Details

analyze111.0ms (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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify148.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5130	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 (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_441`
11×	`unpow-prod-down_binary64_498`
9×	`difference-of-squares_binary64_388`
7×	`*-un-lft-identity_binary64_419` `sqr-pow_binary64_391` `cancel-sign-sub-inv_binary64_385`
3×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
2×	`distribute-lft-out--_binary64_371`
1×	`sub-neg_binary64_412` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 29

Calls

1 calls:

8.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series35.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

35.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4919	462
1	4919	462

prune29.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

Compiler

Compiled 401 to 254 computations (36.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x 4) (pow.f64 y 4))
0.7b	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
39.7b	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_419`
110×	`add-sqr-sqrt_binary64_441`
91×	`unpow-prod-down_binary64_498`
70×	`times-frac_binary64_425`
63×	`difference-of-squares_binary64_388`
43×	`sqr-pow_binary64_391`
32×	`distribute-lft-out_binary64_370`
26×	`add-cube-cbrt_binary64_454`
14×	`distribute-lft-out--_binary64_371` `associate-/l*_binary64_364`
7×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
5×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate-/r*_binary64_363`
3×	`pow1_binary64_480`
2×	`flip3-+_binary64_422` `flip3--_binary64_423` `associate-/r/_binary64_365` `flip-+_binary64_393` `flip--_binary64_394` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `sum-log_binary64_510` `frac-2neg_binary64_430` `diff-log_binary64_511` `+-commutative_binary64_349` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-sub_binary64_424`

Counts

3 → 148

Calls

3 calls:

18.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
8.0ms	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
7.0ms	(+.f64 (pow.f64 x 4) (pow.f64 y 4))

series189.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

85.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
70.0ms	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
34.0ms	(+.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5100	4306

prune234.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	157	2	159

Merged error: 0b

Counts

159 → 2

Compiler

Compiled 3759 to 2881 computations (23.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

10.9b	(sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
10.9b	(sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
16.1b	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
22.1b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))) (/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))))

rewrite190.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Rules

349×	`add-sqr-sqrt_binary64_441`
307×	`*-un-lft-identity_binary64_419`
270×	`times-frac_binary64_425`
204×	`unpow-prod-down_binary64_498`
181×	`sqrt-prod_binary64_435`
153×	`difference-of-squares_binary64_388`
118×	`associate-r_binary64_359`
102×	`sqr-pow_binary64_391`
97×	`add-cube-cbrt_binary64_454`
68×	`distribute-lft-out_binary64_370`
34×	`distribute-lft-out--_binary64_371`
30×	`associate-l_binary64_360`
28×	`add-exp-log_binary64_457`
18×	`add-cbrt-cube_binary64_455`
15×	`unswap-sqr_binary64_387`
14×	`associate-/l*_binary64_364`
10×	`sqrt-div_binary64_436`
9×	`div-exp_binary64_470`
8×	`prod-exp_binary64_468` `associate-/r*_binary64_363` `pow1_binary64_480`
6×	`associate-/r/_binary64_365`
5×	`flip3-+_binary64_422` `flip-+_binary64_393` `cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `cbrt-unprod_binary64_452`
3×	`div-inv_binary64_416`
2×	`1-exp_binary64_463` `pow1/2_binary64_499` `rec-exp_binary64_469` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `associate-/l/_binary64_366`
1×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `clear-num_binary64_418` `frac-times_binary64_429` `flip3--_binary64_423` `associate-r/_binary64_361` `*-commutative_binary64_350` `frac-2neg_binary64_430` `flip--_binary64_394` `div-sub_binary64_424`

Counts

4 → 372

Calls

4 calls:

91.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))) (/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))))
20.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

series296.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
84.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))) (/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))))
35.0ms	(sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
33.0ms	(sqrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

simplify155.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

384 → 384

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4971	13459
1	4971	13459

prune1.2s (33.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	384	0	384
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	384	2	386

Merged error: 0b

Counts

386 → 2

Compiler

Compiled 14561 to 11409 computations (21.6% saved)

regimes90.0ms (2.4%)

Compiler: Compiled 765 to 683 computations (10.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample756.0ms (20.3%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
13.0ms	310×	body	128	invalid

Compiler

Compiled 162 to 146 computations (9.9% saved)

Details

analyze111.0ms (3%)

sample18.0ms (0.5%)

simplify148.0ms (4%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.3%)

series35.0ms (0.9%)

simplify51.0ms (1.4%)

prune29.0ms (0.8%)

localize9.0ms (0.3%)

rewrite49.0ms (1.3%)

series189.0ms (5.1%)

simplify87.0ms (2.3%)

prune234.0ms (6.3%)

localize15.0ms (0.4%)

rewrite190.0ms (5.1%)

series296.0ms (7.9%)

simplify155.0ms (4.2%)

prune1.2s (33.4%)

regimes90.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample756.0ms (20.3%)

Profiling