Details

analyze845.0ms (8.5%)

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	38×	body	2048	valid
8.0ms	154×	body	128	valid
5.0ms	17×	body	4096	valid
5.0ms	23×	body	1024	valid
3.0ms	17×	body	512	valid
1.0ms	18×	body	128	invalid
1.0ms	15×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify359.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (354.0ms)

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

37.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite220.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

36.7b

Rules

21×	`add-sqr-sqrt_binary64_1805`
14×	`*-un-lft-identity_binary64_1783`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818`
6×	`sqrt-prod_binary64_1799` `difference-of-squares_binary64_1752` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
5×	`pow1_binary64_1844`
4×	`flip3--_binary64_1787` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749`
3×	`distribute-lft-out--_binary64_1735`
2×	`sqrt-div_binary64_1800` `diff-log_binary64_1875` `sub-neg_binary64_1776` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.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)

series716.0ms (7.2%)

Error

5.8b

Counts

4 → 60

Calls

4 calls:

203.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
178.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
146.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
132.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2557 to 1968 computations (23% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5509	2545

prune180.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	126	8	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	8	135

Error

5.7b

Counts

135 → 8

Compiler

Compiled 2727 to 1455 computations (46.6% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 5.7b
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

prune8.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Error

5.7b

Counts

8 → 8

Compiler

Compiled 142 to 101 computations (28.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite169.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

28×	`add-sqr-sqrt_binary64_1805`
18×	`*-un-lft-identity_binary64_1783`
14×	`add-cube-cbrt_binary64_1818`
13×	`associate-r_binary64_1723`
10×	`times-frac_binary64_1789`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822`
7×	`pow1_binary64_1844`
6×	`associate-l_binary64_1724`
5×	`flip3--_binary64_1787` `flip--_binary64_1758` `sqrt-prod_binary64_1799`
4×	`difference-of-squares_binary64_1752` `cancel-sign-sub-inv_binary64_1749`
2×	`sqrt-div_binary64_1800` `diff-log_binary64_1875` `sub-neg_binary64_1776` `distribute-lft-out--_binary64_1735` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `associate-*l/_binary64_1726`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `pow-prod-down_binary64_1854` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-r/_binary64_1725` `div-inv_binary64_1780` `-commutative_binary64_1714`

Counts

4 → 83

Calls

4 calls:

19.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series721.0ms (7.2%)

Error

5.7b

Counts

4 → 60

Calls

4 calls:

206.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
178.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
170.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
121.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2557 to 1968 computations (23% saved)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5094	2791

prune198.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	143	8	151

Error

5.7b

Counts

151 → 8

Compiler

Compiled 2939 to 1568 computations (46.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite164.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

18×	`add-sqr-sqrt_binary64_1805`
12×	`*-un-lft-identity_binary64_1783`
8×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `sqrt-prod_binary64_1799`
6×	`pow1_binary64_1844` `cancel-sign-sub-inv_binary64_1749`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `difference-of-squares_binary64_1752`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `diff-log_binary64_1875` `sub-neg_binary64_1776` `distribute-lft-out--_binary64_1735`

Counts

4 → 64

Calls

4 calls:

12.0ms	(-.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)

series702.0ms (7.1%)

Error

5.7b

Counts

4 → 58

Calls

4 calls:

177.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
138.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
137.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5074 to 3425 computations (32.5% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4936	2116
1	4936	2116

prune198.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Error

5.7b

Counts

130 → 8

Compiler

Compiled 4140 to 2124 computations (48.7% saved)

regimes1.6s (15.9%)

Accuracy

Total 5.2b remaining (47.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7712 to 5782 computations (25% saved)

bsearch69.0ms (0.7%)

Steps

Iters	Range		Point
8	1.838515329808274e-64	1.504646891257893e-60	9.908180707161701e-62
8	-7.239199173592704e-32	-3.8108211360075656e-36	-7.102439644234899e-32

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	52
1	86	52

end0.0ms (0%)

sample3.4s (34.5%)

Algorithm

1×

intervals

Results

351.0ms	1139×	body	2048	valid
316.0ms	5137×	body	128	valid
183.0ms	766×	body	1024	valid
142.0ms	397×	body	4096	valid
65.0ms	374×	body	512	valid
37.0ms	637×	body	128	nan
23.0ms	374×	body	128	invalid
22.0ms	187×	body	256	valid

Compiler

Compiled 2013 to 1506 computations (25.2% saved)

Details

analyze845.0ms (8.5%)

sample49.0ms (0.5%)

simplify359.0ms (3.6%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite220.0ms (2.2%)

series716.0ms (7.2%)

simplify74.0ms (0.7%)

prune180.0ms (1.8%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune8.0ms (0.1%)

localize12.0ms (0.1%)

rewrite169.0ms (1.7%)

series721.0ms (7.2%)

simplify91.0ms (0.9%)

prune198.0ms (2%)

localize17.0ms (0.2%)

rewrite164.0ms (1.7%)

series702.0ms (7.1%)

simplify109.0ms (1.1%)

prune198.0ms (2%)

regimes1.6s (15.9%)

bsearch69.0ms (0.7%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.4s (34.5%)

Profiling