Details

analyze326.0ms (8.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5028	56
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14
99.9%	0%	0.1%	14

Compiler

Compiled 40 to 26 computations (35% saved)

sample167.0ms (4.5%)

Algorithm

2×

intervals

Results

24.0ms

512×

body

128

valid

Compiler

Compiled 5179 to 3882 computations (25% saved)

simplify111.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4787	28
1	4787	28

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

27.9b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.2b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
27.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite90.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

Rules

10×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
9×	`times-frac_binary64_16452`
4×	`add-exp-log_binary64_16484` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482`
3×	`associate-/l_binary64_16391` `associate-/r_binary64_16390`
2×	`pow1_binary64_16507` `flip3--_binary64_16450` `associate-/l/_binary64_16393` `flip--_binary64_16421` `associate-/r/_binary64_16392`
1×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445` `div-inv_binary64_16443` `flip3-+_binary64_16449` `flip-+_binary64_16420` `diff-log_binary64_16538` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412`

Counts

2 → 44

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1537 to 800 computations (48% saved)

series358.0ms (9.6%)

Error

0.3b

Counts

2 → 24

Calls

2 calls:

174.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
164.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

Compiler

Compiled 780 to 627 computations (19.6% saved)

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	6139	1713

prune83.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Error

0.3b

Counts

69 → 3

Compiler

Compiled 1676 to 772 computations (53.9% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.2b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
26.3b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
26.3b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) y)))
26.4b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))

rewrite203.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

23×	`add-sqr-sqrt_binary64_16468`
21×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
18×	`times-frac_binary64_16452` `sqrt-prod_binary64_16462`
6×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482` `sqrt-div_binary64_16463` `associate-/r*_binary64_16390`
5×	`flip3-+_binary64_16449` `flip-+_binary64_16420`
3×	`associate-/l*_binary64_16391`
2×	`associate-/l/_binary64_16393` `associate-/r/_binary64_16392` `pow1/2_binary64_16526` `sqrt-pow1_binary64_16464` `rem-sqrt-square_binary64_16459`
1×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `div-inv_binary64_16443` `sum-log_binary64_16537` `+-commutative_binary64_16376`

Counts

4 → 84

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) y)))

Compiler

Compiled 3925 to 1875 computations (52.2% saved)

series902.0ms (24.1%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

215.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))
211.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
210.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) y)))
182.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 4376 to 2826 computations (35.4% saved)

simplify92.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5227	3515

prune256.0ms (6.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	144	3	147

Error

0.3b

Counts

147 → 3

Compiler

Compiled 5267 to 2538 computations (51.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.3b

Counts

3 → 3

Compiler

Compiled 1 to 3 computations (-200% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

0.3b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes165.0ms (4.4%)

Accuracy

Total 13.3b remaining (97.3%)

Threshold costs 0b (0%)

Compiler

Compiled 723 to 483 computations (33.2% saved)

bsearch82.0ms (2.2%)

Steps

Iters	Range		Point
9	8.293267888174656e+46	2.254892177240253e+55	5.368248308510426e+49
4	0.006180452006873768	0.008702799189085104	0.00715413837609351
8	3.911943099251329e-170	4.330635672956586e-167	4.26375791351412e-167
3	-1.6807989640654254e-94	-1.244775934427824e-94	-1.3265302524848746e-94
9	-5.865779818395148e+81	-8.995555182895255e+72	-2.1778217648239176e+77

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	90
1	66	90

end0.0ms (0%)

sample769.0ms (20.6%)

Algorithm

1×

intervals

Results

344.0ms

8000×

body

128

valid

Compiler

Compiled 296 to 183 computations (38.2% saved)

Details

analyze326.0ms (8.7%)

sample167.0ms (4.5%)

simplify111.0ms (3%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite90.0ms (2.4%)

series358.0ms (9.6%)

simplify79.0ms (2.1%)

prune83.0ms (2.2%)

localize19.0ms (0.5%)

rewrite203.0ms (5.4%)

series902.0ms (24.1%)

simplify92.0ms (2.5%)

prune256.0ms (6.9%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

regimes165.0ms (4.4%)

bsearch82.0ms (2.2%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample769.0ms (20.6%)

Profiling