Details

analyze850.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Symmetry

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample42.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	166×	body	128	valid
7.0ms	30×	body	2048	valid
7.0ms	27×	body	1024	valid
5.0ms	18×	body	4096	valid
1.0ms	11×	body	512	valid
1.0ms	21×	body	128	nan
0.0ms	4×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify317.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (311.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

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

32.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite140.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

32.5b

Rules

21×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
6×	`sqrt-prod_binary64_776` `difference-of-squares_binary64_729` `times-frac_binary64_766` `associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`
3×	`distribute-lft-out--_binary64_712`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series668.0ms (7.6%)

Error

5.1b

Counts

4 → 66

Calls

4 calls:

184.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
152.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
137.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
135.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2861 to 2182 computations (23.7% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5510	2668

prune145.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	8	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	9	141

Error

5.0b

Counts

141 → 9

Compiler

Compiled 2801 to 1455 computations (48.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite132.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

18×	`add-sqr-sqrt_binary64_782`
12×	`*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
6×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `difference-of-squares_binary64_729`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712`

Counts

4 → 64

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series676.0ms (7.7%)

Error

5.0b

Counts

4 → 66

Calls

4 calls:

152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
150.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
145.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5778 to 3897 computations (32.6% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	2292
1	4915	2292

prune179.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	130	9	139

Error

5.0b

Counts

139 → 9

Compiler

Compiled 4505 to 2323 computations (48.4% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 5.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms (0.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Error

5.0b

Counts

9 → 9

Compiler

Compiled 81 to 63 computations (22.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
6.0b	(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
17.1b	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite175.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

28×	`*-un-lft-identity_binary64_760`
23×	`add-sqr-sqrt_binary64_782`
16×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766`
11×	`add-log-exp_binary64_799`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `difference-of-squares_binary64_729` `distribute-lft-out_binary64_711`
5×	`pow1_binary64_821`
4×	`associate-/l_binary64_705` `associate-/r_binary64_704`
3×	`flip3--_binary64_764` `flip--_binary64_735` `sqrt-prod_binary64_776` `cancel-sign-sub-inv_binary64_726`
2×	`sqrt-div_binary64_777` `sum-log_binary64_851` `diff-log_binary64_852` `associate-/l/_binary64_707` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sub-neg_binary64_753` `associate--r+_binary64_696` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `+-commutative_binary64_690`

Counts

4 → 85

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
8.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4005 to 1829 computations (54.3% saved)

series691.0ms (7.9%)

Error

5.0b

Counts

4 → 58

Calls

4 calls:

274.0ms	(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
147.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
126.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
90.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))

Compiler

Compiled 4386 to 2807 computations (36% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5292	3429

prune166.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	144	8	152

Error

5.0b

Counts

152 → 8

Compiler

Compiled 4586 to 2234 computations (51.3% saved)

regimes1.6s (17.7%)

Accuracy

Total 4.3b remaining (44.1%)

Threshold costs 0b (0%)

Compiler

Compiled 7140 to 5274 computations (26.1% saved)

bsearch64.0ms (0.7%)

Steps

Iters	Range		Point
10	1.41024154334885e-81	1.0182343745506315e-70	1.2592230812402315e-77
6	-3.091247272989392e+117	-2.7259941391843918e+116	-3.022367818016179e+117

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	48
1	90	48

Removed

()

end0.0ms (0%)

sample2.7s (30.4%)

Algorithm

1×

intervals

Results

264.0ms	1123×	body	2048	valid
262.0ms	5138×	body	128	valid
161.0ms	816×	body	1024	valid
118.0ms	395×	body	4096	valid
50.0ms	361×	body	512	valid
35.0ms	688×	body	128	nan
20.0ms	356×	body	128	invalid
16.0ms	167×	body	256	valid

Compiler

Compiled 1867 to 1375 computations (26.4% saved)

Details

analyze850.0ms (9.7%)

sample42.0ms (0.5%)

simplify317.0ms (3.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite140.0ms (1.6%)

series668.0ms (7.6%)

simplify68.0ms (0.8%)

prune145.0ms (1.6%)

localize15.0ms (0.2%)

rewrite132.0ms (1.5%)

series676.0ms (7.7%)

simplify96.0ms (1.1%)

prune179.0ms (2%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune7.0ms (0.1%)

localize15.0ms (0.2%)

rewrite175.0ms (2%)

series691.0ms (7.9%)

simplify77.0ms (0.9%)

prune166.0ms (1.9%)

regimes1.6s (17.7%)

bsearch64.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (30.4%)

Profiling