Details

analyze683.0ms (7.4%)

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)

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	166×	body	128	valid
7.0ms	30×	body	2048	valid
5.0ms	18×	body	4096	valid
5.0ms	27×	body	1024	valid
2.0ms	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)

simplify321.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (315.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune5.0ms (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

32.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite150.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

32.5b

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`sqrt-prod_binary64_2481` `difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
3×	`distribute-lft-out--_binary64_2417`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r*_binary64_2409`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series701.0ms (7.6%)

Error

5.1b

Counts

4 → 66

Calls

4 calls:

195.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
160.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
144.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2861 to 2182 computations (23.7% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5453	2668

prune147.0ms (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 1477 computations (47.3% saved)

localize16.0ms (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))))

rewrite134.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

18×	`add-sqr-sqrt_binary64_2487`
12×	`*-un-lft-identity_binary64_2465`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `cancel-sign-sub-inv_binary64_2431`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `diff-log_binary64_2557` `sub-neg_binary64_2458` `distribute-lft-out--_binary64_2417`

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)

series678.0ms (7.4%)

Error

5.0b

Counts

4 → 66

Calls

4 calls:

157.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
148.0ms	(-.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)
147.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5778 to 3897 computations (32.6% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	2292
1	4915	2292

prune181.0ms (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

prune6.0ms (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)

localize14.0ms (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))))

rewrite171.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

28×	`*-un-lft-identity_binary64_2465`
23×	`add-sqr-sqrt_binary64_2487`
16×	`add-cube-cbrt_binary64_2500` `times-frac_binary64_2471`
11×	`add-log-exp_binary64_2504`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `difference-of-squares_binary64_2434` `distribute-lft-out_binary64_2416`
5×	`pow1_binary64_2526`
4×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqrt-prod_binary64_2481` `cancel-sign-sub-inv_binary64_2431`
2×	`sqrt-div_binary64_2482` `sum-log_binary64_2556` `diff-log_binary64_2557` `associate-/l/_binary64_2412` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `sub-neg_binary64_2458` `associate--r+_binary64_2401` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `+-commutative_binary64_2395`

Counts

4 → 85

Calls

4 calls:

14.0ms	(/.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))))))
9.0ms	(-.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)

series687.0ms (7.5%)

Error

5.0b

Counts

4 → 58

Calls

4 calls:

262.0ms	(/.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))))))
148.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
129.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
91.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))

Compiler

Compiled 4386 to 2807 computations (36% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5292	3429

prune175.0ms (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)

regimes1.7s (18%)

Accuracy

Total 4.3b remaining (44.1%)

Threshold costs 0b (0%)

Compiler

Compiled 7656 to 5754 computations (24.8% saved)

bsearch67.0ms (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%)

sample3.1s (33.6%)

Algorithm

1×

intervals

Results

370.0ms	816×	body	1024	valid
281.0ms	1123×	body	2048	valid
265.0ms	5138×	body	128	valid
128.0ms	395×	body	4096	valid
54.0ms	361×	body	512	valid
36.0ms	688×	body	128	nan
18.0ms	356×	body	128	invalid
16.0ms	167×	body	256	valid

Compiler

Compiled 1996 to 1496 computations (25.1% saved)

Details

analyze683.0ms (7.4%)

sample41.0ms (0.4%)

simplify321.0ms (3.5%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

rewrite150.0ms (1.6%)

series701.0ms (7.6%)

simplify76.0ms (0.8%)

prune147.0ms (1.6%)

localize16.0ms (0.2%)

rewrite134.0ms (1.5%)

series678.0ms (7.4%)

simplify98.0ms (1.1%)

prune181.0ms (2%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune6.0ms (0.1%)

localize14.0ms (0.2%)

rewrite171.0ms (1.9%)

series687.0ms (7.5%)

simplify82.0ms (0.9%)

prune175.0ms (1.9%)

regimes1.7s (18%)

bsearch67.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (33.6%)

Profiling