Details

analyze855.0ms (17.8%)

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)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	47×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify23.0ms (0.5%)

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 2 expressions with local error:

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

rewrite82.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_19856` `associate-+l+_binary64_19789`
7×	`add-exp-log_binary64_19894` `add-log-exp_binary64_19895` `add-cbrt-cube_binary64_19892` `cancel-sign-sub-inv_binary64_19822`
6×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `times-frac_binary64_19862`
3×	`associate-/r*_binary64_19800`
2×	`pow1_binary64_19917` `div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `div-inv_binary64_19853` `sum-log_binary64_19947`
1×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-/l*_binary64_19801` `diff-log_binary64_19948` `flip3-+_binary64_19859` `flip-+_binary64_19830` `distribute-lft-out_binary64_19807` `associate-+l-_binary64_19791` `sub-neg_binary64_19849` `+-commutative_binary64_19786`

Counts

2 → 43

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
4.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 764 to 481 computations (37% saved)

series405.0ms (8.4%)

Error

Counts

2 → 30

Calls

2 calls:

311.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
81.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 502 to 508 computations (-1.2% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5026	899

prune56.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 573 to 360 computations (37.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite251.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_19878`
26×	`pow1_binary64_19917`
24×	`sqrt-prod_binary64_19872`
16×	`sqrt-div_binary64_19873`
15×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
11×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
10×	`pow1/2_binary64_19936` `sqrt-pow1_binary64_19874`
9×	`associate-l_binary64_19797`
8×	`flip3-+_binary64_19859` `flip-+_binary64_19830` `swap-sqr_binary64_19823`
7×	`associate-r_binary64_19796`
6×	`pow-prod-down_binary64_19927`
5×	`pow-prod-up_binary64_19926`
4×	`prod-exp_binary64_19905` `add-log-exp_binary64_19895` `cbrt-unprod_binary64_19889` `rem-sqrt-square_binary64_19869` `frac-times_binary64_19866` `unswap-sqr_binary64_19824`
3×	`pow-sqr_binary64_19829`
2×	`associate-l/_binary64_19799` `associate-r/_binary64_19798` `*-commutative_binary64_19787`
1×	`pow2_binary64_19937` `pow-plus_binary64_19919` `sqrt-unprod_binary64_19876` `sqr-abs_binary64_19871` `rem-square-sqrt_binary64_19868`

Counts

4 → 106

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (.f64 1/8 x))) (sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x))))
5.0ms	(.f64 1/2 (.f64 z y))
5.0ms	(sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)))
5.0ms	(sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)))

Compiler

Compiled 3460 to 2173 computations (37.2% saved)

series890.0ms (18.5%)

Error

Counts

4 → 62

Calls

4 calls:

339.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (.f64 1/8 x))) (sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x))))
219.0ms	(sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)))
214.0ms	(sqrt.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)))
81.0ms	(.f64 1/2 (.f64 z y))

Compiler

Compiled 2790 to 2245 computations (19.5% saved)

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4936	3079
1	4936	3079

prune166.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	2	170

Error

Counts

170 → 2

Compiler

Compiled 2396 to 1495 computations (37.6% saved)

regimes1.0s (21.7%)

Accuracy

Total 0.0b remaining (5.8%)

Threshold costs 0.0b (5.8%)

Compiler

Compiled 8071 to 8023 computations (0.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	16
1	53	16

end7.0ms (0.1%)

Remove: (sort y z)
Compiler: Compiled 33 to 33 computations (0% saved)

sample817.0ms (17%)

Algorithm

1×

intervals

Results

317.0ms	7998×	body	128	valid
46.0ms	1153×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 75 to 86 computations (-14.7% saved)

Details

analyze855.0ms (17.8%)

sample35.0ms (0.7%)

simplify23.0ms (0.5%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite82.0ms (1.7%)

series405.0ms (8.4%)

simplify63.0ms (1.3%)

prune56.0ms (1.2%)

localize11.0ms (0.2%)

rewrite251.0ms (5.2%)

series890.0ms (18.5%)

simplify94.0ms (2%)

prune166.0ms (3.5%)

regimes1.0s (21.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end7.0ms (0.1%)

sample817.0ms (17%)

Profiling