Details

analyze806.0ms (25.2%)

Algorithm

1×	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%	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
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Symmetry

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

sample31.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	255×	body	128	valid
1.0ms	28×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`cancel-sign-sub-inv_binary64_15730`
3×	`add-log-exp_binary64_15803` `add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786` `*-un-lft-identity_binary64_15764` `times-frac_binary64_15770`
1×	`diff-log_binary64_15856` `pow1_binary64_15825` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `flip3--_binary64_15768` `sub-neg_binary64_15757` `flip--_binary64_15739` `div-inv_binary64_15761`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

Compiler

Compiled 367 to 236 computations (35.7% saved)

series151.0ms (4.7%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

140.0ms

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

Compiler

Compiled 407 to 352 computations (13.5% saved)

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4893	446
1	4893	446

prune30.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

0.0b

Counts

37 → 2

Compiler

Compiled 464 to 278 computations (40.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite229.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_15786`
24×	`sqrt-prod_binary64_15780`
21×	`pow1_binary64_15825`
16×	`sqrt-div_binary64_15781`
14×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
10×	`pow1/2_binary64_15844` `sqrt-pow1_binary64_15782`
9×	`flip3-+_binary64_15767` `flip-+_binary64_15738`
8×	`swap-sqr_binary64_15731`
6×	`add-exp-log_binary64_15802` `add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `associate-l_binary64_15705` `associate-r_binary64_15704`
5×	`pow-prod-up_binary64_15834`
4×	`rem-sqrt-square_binary64_15777` `frac-times_binary64_15774` `unswap-sqr_binary64_15732`
3×	`pow-prod-down_binary64_15835` `pow-sqr_binary64_15737`
2×	`associate-l/_binary64_15707` `associate-r/_binary64_15706`
1×	`pow2_binary64_15845` `pow-plus_binary64_15827` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `sqrt-unprod_binary64_15784` `sqr-abs_binary64_15779` `rem-square-sqrt_binary64_15776` `*-commutative_binary64_15695` `sum-log_binary64_15855` `+-commutative_binary64_15694`

Counts

4 → 99

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (.f64 1/8 x))) (sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x))))
6.0ms	(+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x))
5.0ms	(sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x)))
5.0ms	(sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x)))

Compiler

Compiled 3645 to 2339 computations (35.8% saved)

series529.0ms (16.5%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

158.0ms	(+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x))
136.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (.f64 1/8 x))) (sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x))))
92.0ms	(sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x)))
92.0ms	(sqrt.f64 (+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x)))

Compiler

Compiled 3024 to 2350 computations (22.3% saved)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4874	2634
1	4874	2634

prune185.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	2	160

Error

0.0b

Counts

160 → 2

Compiler

Compiled 3647 to 2260 computations (38% saved)

regimes149.0ms (4.7%)

Accuracy

Total 0.0b remaining (6%)

Threshold costs 0.0b (6%)

Compiler

Compiled 946 to 941 computations (0.5% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

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%)

sample864.0ms (27%)

Algorithm

1×

intervals

Results

332.0ms	7995×	body	128	valid
43.0ms	1131×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 132 to 131 computations (0.8% saved)

Details

analyze806.0ms (25.2%)

sample31.0ms (1%)

simplify24.0ms (0.7%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite29.0ms (0.9%)

series151.0ms (4.7%)

simplify56.0ms (1.8%)

prune30.0ms (0.9%)

localize11.0ms (0.3%)

rewrite229.0ms (7.2%)

series529.0ms (16.5%)

simplify83.0ms (2.6%)

prune185.0ms (5.8%)

regimes149.0ms (4.7%)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

end0.0ms (0%)

sample864.0ms (27%)

Profiling