Details

analyze1.4s (17.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1579	112
1	1579	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14
68.2%	31.6%	0.2%	14

Symmetry

(sort y z)

Compiler

Compiled 28 to 28 computations (0% saved)

sample344.0ms (4.4%)

Algorithm

2×

intervals

Results

22.0ms	512×	body	128	valid
3.0ms	67×	body	128	invalid

Compiler

Compiled 4101 to 5269 computations (-28.5% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`associate-+l+_binary64_19448`
7×	`cancel-sign-sub-inv_binary64_19481`
6×	`add-log-exp_binary64_19554`
5×	`*-un-lft-identity_binary64_19515`
3×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `times-frac_binary64_19521`
2×	`sum-log_binary64_19606`
1×	`diff-log_binary64_19607` `pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551` `flip3-+_binary64_19518` `flip-+_binary64_19489` `distribute-lft-out_binary64_19466` `associate-+l-_binary64_19450` `sub-neg_binary64_19508` `div-inv_binary64_19512` `+-commutative_binary64_19445`

Counts

1 → 22

Calls

1 calls:

8.0ms

(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2)) t)

Compiler

Compiled 437 to 274 computations (37.3% saved)

series327.0ms (4.2%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

309.0ms

(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2)) t)

Compiler

Compiled 504 to 447 computations (11.3% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4931	665
1	4931	665

prune39.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 575 to 336 computations (41.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)) t)
0.2b	(.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)))
7.0b	(-.f64 (.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2))) (.f64 t t))
33.7b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2))) (.f64 t t)) (-.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)) t))

rewrite396.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_19537`
32×	`*-un-lft-identity_binary64_19515`
20×	`add-cube-cbrt_binary64_19550` `times-frac_binary64_19521`
13×	`difference-of-squares_binary64_19484`
11×	`pow1_binary64_19576` `add-log-exp_binary64_19554`
8×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
6×	`distribute-lft-out--_binary64_19467` `flip3-+_binary64_19518` `flip-+_binary64_19489`
5×	`associate-/r*_binary64_19459`
4×	`flip3--_binary64_19519` `flip--_binary64_19490` `associate-/l*_binary64_19460` `cancel-sign-sub-inv_binary64_19481` `frac-times_binary64_19525`
3×	`diff-log_binary64_19607` `associate--l+_binary64_19452` `swap-sqr_binary64_19482` `associate-l_binary64_19456` `associate-r_binary64_19455`
2×	`associate-/l/_binary64_19462` `associate-/r/_binary64_19461` `sub-neg_binary64_19508` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `associate-l/_binary64_19458` `associate-r/_binary64_19457`
1×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526` `div-sub_binary64_19520` `clear-num_binary64_19514` `div-inv_binary64_19512` `pow2_binary64_19596` `pow-prod-down_binary64_19586` `pow-prod-up_binary64_19585` `pow-plus_binary64_19578` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `pow-sqr_binary64_19488` `unswap-sqr_binary64_19483` `*-commutative_binary64_19446` `sum-log_binary64_19606`

Counts

4 → 114

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2))) (.f64 t t)) (-.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)) t))
11.0ms	(-.f64 (.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2))) (.f64 t t))
10.0ms	(.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)))
7.0ms	(-.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)) t)

Compiler

Compiled 6358 to 3629 computations (42.9% saved)

series3.3s (42.1%)

Error

Counts

4 → 109

Calls

4 calls:

1.4s	(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2))) (.f64 t t)) (-.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)) t))
977.0ms	(-.f64 (.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2))) (.f64 t t))
434.0ms	(.f64 (+.f64 (.f64 1/8 x) (.f64 (.f64 z y) -1/2)) (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)))
345.0ms	(-.f64 (+.f64 (.f64 1/8 x) (.f64 (*.f64 z y) -1/2)) t)

Compiler

Compiled 8767 to 6182 computations (29.5% saved)

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4950	6771
1	4950	6771

prune428.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	223	2	225

Error

Counts

225 → 2

Compiler

Compiled 8019 to 4327 computations (46% saved)

regimes335.0ms (4.3%)

Accuracy

Total 0.0b remaining (10.3%)

Threshold costs 0.0b (10.3%)

Compiler

Compiled 2818 to 2462 computations (12.6% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	16
1	50	16

Remove

(sort y z)

Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

sample995.0ms (12.7%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	128	valid
41.0ms	1120×	body	128	invalid

Compiler

Compiled 340 to 300 computations (11.8% saved)

Details

analyze1.4s (17.9%)

sample344.0ms (4.4%)

simplify23.0ms (0.3%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite40.0ms (0.5%)

series327.0ms (4.2%)

simplify60.0ms (0.8%)

prune39.0ms (0.5%)

localize13.0ms (0.2%)

rewrite396.0ms (5%)

series3.3s (42.1%)

simplify114.0ms (1.4%)

prune428.0ms (5.4%)

regimes335.0ms (4.3%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample995.0ms (12.7%)

Profiling