Details

analyze20.0ms (0.6%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	237×	body	128	valid
1.0ms	7×	body	2048	valid
1.0ms	7×	body	1024	valid
0.0ms	3×	body	256	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify170.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	79	7
1	79	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5168`
1×	`add-cube-cbrt_binary64_5164` `add-cbrt-cube_binary64_5165` `flip3--_binary64_5136` `sub-neg_binary64_5125` `add-sqr-sqrt_binary64_5153` `pow1_binary64_5190` `add-exp-log_binary64_5167` `*-un-lft-identity_binary64_5132` `flip--_binary64_5107` `diff-log_binary64_5221`

Counts

1 → 11

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series42.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(-.f64 x (*.f64 3/8 y))

simplify101.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4818	161
1	4818	161

prune13.0ms (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: 0.1b

Counts

15 → 3

Compiler

Compiled 162 to 114 computations (29.6% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.1b	(.f64 y (.f64 y 9/64))
4.2b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
32.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cube-cbrt_binary64_5164` `add-sqr-sqrt_binary64_5153` `*-un-lft-identity_binary64_5132`
11×	`add-cbrt-cube_binary64_5165` `add-exp-log_binary64_5167`
9×	`pow1_binary64_5190` `times-frac_binary64_5138`
8×	`add-log-exp_binary64_5168`
3×	`associate-l_binary64_5075` `associate-/l_binary64_5079` `prod-exp_binary64_5178` `pow-prod-down_binary64_5200` `cbrt-unprod_binary64_5162` `associate-/r_binary64_5078`
2×	`flip3--_binary64_5136` `flip3-+_binary64_5135` `associate-/r/_binary64_5080` `associate-/l/_binary64_5081` `flip--_binary64_5107` `flip-+_binary64_5106`
1×	`sub-neg_binary64_5125` `cbrt-undiv_binary64_5163` `-commutative_binary64_5065` `frac-2neg_binary64_5143` `+-commutative_binary64_5064` `div-exp_binary64_5180` `associate-r*_binary64_5074` `sum-log_binary64_5220` `diff-log_binary64_5221` `clear-num_binary64_5131` `div-sub_binary64_5137` `div-inv_binary64_5129`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))
5.0ms	(.f64 y (.f64 y 9/64))
4.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
3.0ms	(+.f64 x (*.f64 3/8 y))

series230.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))
50.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
44.0ms	(.f64 y (.f64 y 9/64))
40.0ms	(+.f64 x (*.f64 3/8 y))

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4915	1453
1	4915	1453

prune84.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.1b

Counts

87 → 3

Compiler

Compiled 1708 to 1031 computations (39.6% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))
0.0b	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
0.0b	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
0.2b	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_5153`
24×	`sqrt-prod_binary64_5147`
21×	`pow1_binary64_5190`
16×	`sqrt-div_binary64_5148`
14×	`add-cube-cbrt_binary64_5164` `*-un-lft-identity_binary64_5132`
10×	`pow1/2_binary64_5209` `sqrt-pow1_binary64_5149`
9×	`flip3--_binary64_5136` `flip--_binary64_5107`
8×	`swap-sqr_binary64_5099`
6×	`add-cbrt-cube_binary64_5165` `associate-l_binary64_5075` `add-log-exp_binary64_5168` `add-exp-log_binary64_5167` `associate-r_binary64_5074`
5×	`pow-prod-up_binary64_5199`
4×	`frac-times_binary64_5142` `unswap-sqr_binary64_5100`
3×	`pow-prod-down_binary64_5200` `pow-sqr_binary64_5105`
2×	`associate-l/_binary64_5077` `associate-r/_binary64_5076` `rem-sqrt-square_binary64_5145`
1×	`sub-neg_binary64_5125` `*-commutative_binary64_5065` `prod-exp_binary64_5178` `pow-plus_binary64_5192` `rem-square-sqrt_binary64_5144` `diff-log_binary64_5221` `cbrt-unprod_binary64_5162` `pow2_binary64_5210` `sqrt-unprod_binary64_5151`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(-.f64 x (*.f64 3/8 y))
3.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))

series218.0ms (7%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
69.0ms	(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
43.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
34.0ms	(-.f64 x (*.f64 3/8 y))

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5098	1541

prune110.0ms (3.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

Compiler

Compiled 1882 to 1333 computations (29.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
0.0b	(sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
0.2b	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y)))) (sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))))
0.2b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y)))) (sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y)))))

rewrite83.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`sqrt-div_binary64_5148`
91×	`sqrt-prod_binary64_5147` `sqrt-pow1_binary64_5149`
69×	`pow1_binary64_5190`
60×	`add-sqr-sqrt_binary64_5153`
47×	`pow1/2_binary64_5209`
39×	`pow-prod-up_binary64_5199`
35×	`flip3--_binary64_5136` `flip--_binary64_5107`
32×	`frac-times_binary64_5142`
22×	`add-cube-cbrt_binary64_5164` `*-un-lft-identity_binary64_5132`
17×	`swap-sqr_binary64_5099`
16×	`associate-*r/_binary64_5076`
15×	`associate-l_binary64_5075`
12×	`pow-prod-down_binary64_5200`
11×	`add-cbrt-cube_binary64_5165` `add-exp-log_binary64_5167` `unswap-sqr_binary64_5100` `pow-sqr_binary64_5105`
10×	`associate-l/_binary64_5077` `associate-r*_binary64_5074`
4×	`add-log-exp_binary64_5168` `prod-exp_binary64_5178` `cbrt-unprod_binary64_5162` `rem-sqrt-square_binary64_5145`
3×	`sqrt-unprod_binary64_5151`
2×	`*-commutative_binary64_5065`
1×	`pow-plus_binary64_5192` `rem-square-sqrt_binary64_5144` `pow2_binary64_5210`

Counts

4 → 197

Calls

4 calls:

26.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y)))) (sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))))
16.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y)))) (sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y)))))
4.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
4.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))

series591.0ms (19.1%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
227.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
84.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y)))) (sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y)))))
48.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y))) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (.f64 3/8 y)))) (sqrt.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))))))

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4983	3845
1	4983	3845

prune300.0ms (9.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	209	7	216

Merged error: 0.0b

Counts

216 → 7

Compiler

Compiled 4874 to 3534 computations (27.5% saved)

regimes128.0ms (4.1%)

Compiler: Compiled 1024 to 878 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample694.0ms (22.4%)

Algorithm

1×

intervals

Results

186.0ms	7389×	body	128	valid
18.0ms	235×	body	1024	valid
18.0ms	183×	body	2048	valid
8.0ms	128×	body	512	valid
3.0ms	65×	body	256	valid

Compiler

Compiled 262 to 226 computations (13.7% saved)

Details

analyze20.0ms (0.6%)

sample13.0ms (0.4%)

simplify170.0ms (5.5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite4.0ms (0.1%)

series42.0ms (1.4%)

simplify101.0ms (3.3%)

prune13.0ms (0.4%)

localize14.0ms (0.5%)

rewrite27.0ms (0.9%)

series230.0ms (7.4%)

simplify58.0ms (1.9%)

prune84.0ms (2.7%)

localize6.0ms (0.2%)

rewrite31.0ms (1%)

series218.0ms (7%)

simplify63.0ms (2%)

prune110.0ms (3.5%)

localize9.0ms (0.3%)

rewrite83.0ms (2.7%)

series591.0ms (19.1%)

simplify82.0ms (2.7%)

prune300.0ms (9.7%)

regimes128.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample694.0ms (22.4%)

Profiling