Details

analyze348.0ms (14.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	52
1	60	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_8642`
3×	`sum-log_binary64_8694` `*-un-lft-identity_binary64_8603`
1×	`pow1_binary64_8664` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `flip3-+_binary64_8606` `flip-+_binary64_8577` `distribute-lft-out_binary64_8554` `associate-+l+_binary64_8536` `+-commutative_binary64_8533`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 253 to 135 computations (46.6% saved)

series124.0ms (5.1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

111.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 305 to 235 computations (23% saved)

simplify74.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5140	393

prune22.0ms (0.9%)

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

Error

0.0b

Counts

33 → 2

Compiler

Compiled 337 to 185 computations (45.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite198.0ms (8.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`*-un-lft-identity_binary64_8603` `sqrt-prod_binary64_8619`
30×	`add-sqr-sqrt_binary64_8625`
21×	`pow1_binary64_8664`
16×	`sqrt-div_binary64_8620`
14×	`add-cube-cbrt_binary64_8638`
11×	`swap-sqr_binary64_8570`
10×	`pow1/2_binary64_8683` `sqrt-pow1_binary64_8621`
9×	`add-log-exp_binary64_8642` `flip3-+_binary64_8606` `flip-+_binary64_8577` `distribute-lft-out_binary64_8554`
7×	`associate-l_binary64_8544` `associate-r_binary64_8543`
6×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
5×	`pow-prod-up_binary64_8673`
4×	`rem-sqrt-square_binary64_8616` `frac-times_binary64_8613` `unswap-sqr_binary64_8571`
3×	`pow-prod-down_binary64_8674` `pow-sqr_binary64_8576` `sum-log_binary64_8694`
2×	`associate-l/_binary64_8546` `associate-r/_binary64_8545`
1×	`pow2_binary64_8684` `pow-plus_binary64_8666` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `sqrt-unprod_binary64_8623` `sqr-abs_binary64_8618` `rem-square-sqrt_binary64_8615` `*-commutative_binary64_8534` `associate-+r+_binary64_8535` `+-commutative_binary64_8533`

Counts

4 → 109

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 z (+.f64 (.f64 x y) (/.f64 x 2)))) (sqrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))))
8.0ms	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))
8.0ms	(sqrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))
7.0ms	(sqrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))

Compiler

Compiled 3693 to 2064 computations (44.1% saved)

series514.0ms (21.4%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

135.0ms	(.f64 (sqrt.f64 (+.f64 z (+.f64 (.f64 x y) (/.f64 x 2)))) (sqrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))))
130.0ms	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))
106.0ms	(sqrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))
103.0ms	(sqrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))

Compiler

Compiled 2934 to 2045 computations (30.3% saved)

simplify120.0ms (5%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4949	2753
1	4949	2753

prune158.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	2	171

Error

0.0b

Counts

171 → 2

Compiler

Compiled 3503 to 1937 computations (44.7% saved)

regimes108.0ms (4.5%)

Accuracy

Total 0.0b remaining (62.3%)

Threshold costs 0.0b (62.3%)

Compiler

Compiled 648 to 598 computations (7.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample664.0ms (27.6%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
8.0ms	322×	body	128	invalid

Compiler

Compiled 141 to 130 computations (7.8% saved)

Details

analyze348.0ms (14.5%)

sample18.0ms (0.7%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

rewrite25.0ms (1%)

series124.0ms (5.1%)

simplify74.0ms (3.1%)

prune22.0ms (0.9%)

localize10.0ms (0.4%)

rewrite198.0ms (8.2%)

series514.0ms (21.4%)

simplify120.0ms (5%)

prune158.0ms (6.6%)

regimes108.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample664.0ms (27.6%)

Profiling