Details

analyze267.0ms (7.2%)

Algorithm

1×	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%	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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Symmetry

Compiler

Compiled 20 to 13 computations (35% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify114.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

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

32.2b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.7b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
31.6b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite77.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

32.2b

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)

series259.0ms (7%)

Error

0.3b

Counts

2 → 24

Calls

2 calls:

122.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
120.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 780 to 627 computations (19.6% saved)

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6139	1713

prune70.0ms (1.9%)

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 1689 to 778 computations (53.9% 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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.3b

Counts

3 → 3

Compiler

Compiled 45 to 27 computations (40% 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

prune3.0ms (0.1%)

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 44 to 24 computations (45.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

16.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))) (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))))
31.1b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
31.1b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
31.1b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))

rewrite363.0ms (9.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

49×	`add-exp-log_binary64_16484`
43×	`add-sqr-sqrt_binary64_16468`
33×	`times-frac_binary64_16452`
25×	`*-un-lft-identity_binary64_16446`
24×	`associate-r_binary64_16386`
22×	`add-cube-cbrt_binary64_16481`
21×	`cbrt-prod_binary64_16477`
20×	`cbrt-div_binary64_16478` `prod-exp_binary64_16495`
18×	`add-cbrt-cube_binary64_16482`
15×	`div-exp_binary64_16497` `associate-l_binary64_16387`
10×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `associate-/r/_binary64_16392`
9×	`unswap-sqr_binary64_16414`
8×	`cbrt-unprod_binary64_16479`
7×	`cbrt-undiv_binary64_16480`
6×	`pow1_binary64_16507`
5×	`frac-times_binary64_16456`
4×	`add-log-exp_binary64_16485` `1-exp_binary64_16490` `rec-exp_binary64_16496`
3×	`pow1/3_binary64_16528` `associate-l/_binary64_16389` `associate-r/_binary64_16388`
2×	`div-inv_binary64_16443`
1×	`pow-prod-down_binary64_16517` `*-commutative_binary64_16377`

Counts

4 → 119

Calls

4 calls:

38.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))) (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))

Compiler

Compiled 7750 to 3679 computations (52.5% saved)

series706.0ms (19%)

Error

0.3b

Counts

4 → 44

Calls

4 calls:

194.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
155.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
151.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
139.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))) (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (cbrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))))

Compiler

Compiled 4600 to 3102 computations (32.6% saved)

simplify119.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4982	6118
1	4982	6118

prune311.0ms (8.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	163	3	166

Error

0.3b

Counts

166 → 3

Compiler

Compiled 7686 to 3655 computations (52.4% saved)

regimes289.0ms (7.8%)

Accuracy

Total 13.1b remaining (97.1%)

Threshold costs 0b (0%)

Compiler

Compiled 2893 to 1703 computations (41.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	107
1	63	107

Removed

()

end0.0ms (0%)

sample994.0ms (26.7%)

Algorithm

1×

intervals

Results

328.0ms

8000×

body

128

valid

Compiler

Compiled 741 to 435 computations (41.3% saved)

Details

analyze267.0ms (7.2%)

sample19.0ms (0.5%)

simplify114.0ms (3.1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite77.0ms (2.1%)

series259.0ms (7%)

simplify80.0ms (2.2%)

prune70.0ms (1.9%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize16.0ms (0.4%)

rewrite363.0ms (9.8%)

series706.0ms (19%)

simplify119.0ms (3.2%)

prune311.0ms (8.4%)

regimes289.0ms (7.8%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample994.0ms (26.7%)

Profiling