Details

analyze459.0ms (7.4%)

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

Compiler

Compiled 20 to 13 computations (35% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify194.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4787	28
1	4787	28

prune5.0ms (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

29.9b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
3.6b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
29.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite176.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

11×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
9×	`times-frac_binary64_17134`
7×	`add-log-exp_binary64_17167`
5×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
3×	`pow1_binary64_17189` `associate-/l_binary64_17073` `associate-/r_binary64_17072`
2×	`flip3--_binary64_17132` `associate-/l/_binary64_17075` `flip--_binary64_17103` `flip3-+_binary64_17131` `associate-/r/_binary64_17074` `flip-+_binary64_17102`
1×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `div-inv_binary64_17125` `diff-log_binary64_17220` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

3 → 55

Calls

3 calls:

17.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
7.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1867 to 967 computations (48.2% saved)

series676.0ms (11%)

Error

0.4b

Counts

3 → 36

Calls

3 calls:

223.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
204.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
196.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1290 to 993 computations (23% saved)

simplify170.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4923	2029
1	4923	2029

prune156.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	4	92

Error

0.4b

Counts

92 → 4

Compiler

Compiled 2172 to 1008 computations (53.6% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

3.6b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
28.0b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
28.0b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) y)))
28.1b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))

rewrite295.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

23×	`add-sqr-sqrt_binary64_17150`
21×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
18×	`times-frac_binary64_17134` `sqrt-prod_binary64_17144`
6×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `sqrt-div_binary64_17145` `associate-/r*_binary64_17072`
5×	`flip3-+_binary64_17131` `flip-+_binary64_17102`
3×	`associate-/l*_binary64_17073`
2×	`associate-/l/_binary64_17075` `associate-/r/_binary64_17074` `pow1/2_binary64_17208` `sqrt-pow1_binary64_17146` `rem-sqrt-square_binary64_17141`
1×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 84

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))
9.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) y)))
8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
8.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))

Compiler

Compiled 3925 to 1875 computations (52.2% saved)

series1.1s (17.8%)

Error

0.4b

Counts

4 → 60

Calls

4 calls:

260.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))))
254.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
239.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y 4) y)))
223.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 4376 to 2826 computations (35.4% saved)

simplify164.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5227	3515

prune338.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	144	4	148

Error

0.4b

Counts

148 → 4

Compiler

Compiled 5278 to 2547 computations (51.7% saved)

localize1.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.4b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.4b

Counts

4 → 4

Compiler

Compiled 12 to 12 computations (0% saved)

localize1.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.4b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.4b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes646.0ms (10.5%)

Accuracy

Total 12.4b remaining (97%)

Threshold costs 0b (0%)

Compiler

Compiled 2117 to 1410 computations (33.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	83	129
1	83	129

end0.0ms (0%)

sample1.7s (26.9%)

Algorithm

1×

intervals

Results

601.0ms

8000×

body

128

valid

Compiler

Compiled 542 to 337 computations (37.8% saved)

Details

analyze459.0ms (7.4%)

sample34.0ms (0.5%)

simplify194.0ms (3.2%)

prune5.0ms (0.1%)

localize16.0ms (0.3%)

rewrite176.0ms (2.9%)

series676.0ms (11%)

simplify170.0ms (2.8%)

prune156.0ms (2.5%)

localize33.0ms (0.5%)

rewrite295.0ms (4.8%)

series1.1s (17.8%)

simplify164.0ms (2.7%)

prune338.0ms (5.5%)

localize1.0ms (0%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify12.0ms (0.2%)

prune4.0ms (0.1%)

localize1.0ms (0%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify12.0ms (0.2%)

prune1.0ms (0%)

regimes646.0ms (10.5%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.7s (26.9%)

Profiling