Details

analyze803.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4810	96
1	4810	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)

sample43.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	159×	body	128	valid
7.0ms	36×	body	1024	valid
7.0ms	28×	body	2048	valid
3.0ms	12×	body	4096	valid
2.0ms	13×	body	512	valid
1.0ms	18×	body	128	nan
1.0ms	8×	body	256	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify334.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (328.0ms)

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

35.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite140.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

35.3b

Rules

24×	`*-un-lft-identity_binary64_1783`
15×	`add-sqr-sqrt_binary64_1805`
14×	`add-cube-cbrt_binary64_1818`
12×	`times-frac_binary64_1789`
8×	`add-log-exp_binary64_1822`
6×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
5×	`pow1_binary64_1844` `distribute-lft-out_binary64_1734`
4×	`associate-/l*_binary64_1728`
3×	`sqrt-prod_binary64_1799` `associate-/r*_binary64_1727`
2×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l/_binary64_1730`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sum-log_binary64_1874` `+-commutative_binary64_1713` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 72

Calls

4 calls:

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

Compiler

Compiled 2053 to 1050 computations (48.9% saved)

series732.0ms (5.4%)

Error

5.3b

Counts

4 → 76

Calls

4 calls:

192.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
161.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
156.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
152.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 3466 to 2621 computations (24.4% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5033	3065

prune169.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	138	10	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	10	149

Error

5.2b

Counts

149 → 10

Compiler

Compiled 3173 to 1693 computations (46.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.7b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
8.3b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite261.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

66×	`times-frac_binary64_1789`
59×	`add-sqr-sqrt_binary64_1805`
44×	`*-un-lft-identity_binary64_1783`
30×	`add-cube-cbrt_binary64_1818`
27×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
14×	`difference-of-squares_binary64_1752`
13×	`sqrt-prod_binary64_1799` `associate-/l*_binary64_1728`
10×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r/_binary64_1729`
9×	`associate-/r*_binary64_1727`
7×	`flip3--_binary64_1787` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735`
6×	`add-log-exp_binary64_1822` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `div-inv_binary64_1780` `cancel-sign-sub-inv_binary64_1749`
5×	`pow1_binary64_1844`
2×	`sqrt-div_binary64_1800` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `associate-/l/_binary64_1730` `diff-log_binary64_1875` `sub-neg_binary64_1776`

Counts

4 → 136

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
12.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.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 5265 to 2649 computations (49.7% saved)

series1.1s (8.3%)

Error

5.2b

Counts

4 → 81

Calls

4 calls:

352.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
335.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
194.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
156.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5199 to 3712 computations (28.6% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4974	6698
1	4974	6698

prune304.0ms (2.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	216	11	227

Error

5.2b

Counts

227 → 11

Compiler

Compiled 6478 to 3410 computations (47.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.4b	(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
8.6b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))))
16.1b	(-.f64 b (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite205.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

32×	`add-sqr-sqrt_binary64_1805`
19×	`*-un-lft-identity_binary64_1783`
18×	`log-prod_binary64_1869` `exp-sum_binary64_1829`
13×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818`
12×	`sqrt-prod_binary64_1799`
9×	`difference-of-squares_binary64_1752` `cancel-sign-sub-inv_binary64_1749`
7×	`pow1_binary64_1844` `times-frac_binary64_1789` `associate-/r*_binary64_1727`
6×	`add-log-exp_binary64_1822` `exp-prod_binary64_1835`
4×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758`
3×	`distribute-lft-out--_binary64_1735` `prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816` `log-pow_binary64_1872`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `associate-/r/_binary64_1729` `log-div_binary64_1870` `exp-diff_binary64_1831`
1×	`rem-sqrt-square_binary64_1796` `diff-log_binary64_1875` `sub-neg_binary64_1776` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728` `rem-exp-log_binary64_1823`

Counts

4 → 94

Calls

4 calls:

15.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))))
10.0ms	(-.f64 b (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
9.0ms	(exp.f64 (log.f64 (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 3649 to 2034 computations (44.3% saved)

series1.1s (8.2%)

Error

5.2b

Counts

4 → 65

Calls

4 calls:

396.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))))
241.0ms	(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
233.0ms	(-.f64 b (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
167.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5183 to 3578 computations (31% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5032	3571

prune211.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	159	11	170

Error

5.2b

Counts

170 → 11

Compiler

Compiled 4586 to 2553 computations (44.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.5b	(-.f64 b (pow.f64 (exp.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite241.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

17×	`add-sqr-sqrt_binary64_1805`
11×	`*-un-lft-identity_binary64_1783`
9×	`add-cube-cbrt_binary64_1818` `sqrt-prod_binary64_1799`
7×	`pow1_binary64_1844` `cancel-sign-sub-inv_binary64_1749`
6×	`add-log-exp_binary64_1822` `sqrt-div_binary64_1800`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `flip--_binary64_1758` `unpow-prod-down_binary64_1862`
3×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `difference-of-squares_binary64_1752`
2×	`sqr-pow_binary64_1755`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `distribute-lft-out--_binary64_1735`

Counts

4 → 67

Calls

4 calls:

6.0ms	(-.f64 b (pow.f64 (exp.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4816 to 2661 computations (44.7% saved)

series2.4s (17.7%)

Error

5.2b

Counts

4 → 75

Calls

4 calls:

1.6s	(-.f64 b (pow.f64 (exp.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))
202.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
195.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
189.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 11856 to 7987 computations (32.6% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5112	5294

prune424.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	142	11	153

Error

5.2b

Counts

153 → 11

Compiler

Compiled 8340 to 4746 computations (43.1% saved)

regimes1.5s (10.8%)

Accuracy

Total 3.5b remaining (38.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8500 to 6170 computations (27.4% saved)

bsearch108.0ms (0.8%)

Steps

Iters	Range	Point
8	1.0724603831114824e+132	2.6451822266683344e+135	1.5749587218084831e+134
8	-1.5318349460019654e-118	-2.052560370465371e-121	-1.1229326325662633e-120
9	-4.044650675683152e+85	-3.902113828348496e+78	-1.0851793033426899e+83

Iters

Range

Point

1.0724603831114824e+132

2.6451822266683344e+135

1.5749587218084831e+134

-1.5318349460019654e-118

-2.052560370465371e-121

-1.1229326325662633e-120

-4.044650675683152e+85

-3.902113828348496e+78

-1.0851793033426899e+83

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	104
1	128	104

end0.0ms (0%)

sample3.2s (23.1%)

Algorithm

1×

intervals

Results

270.0ms	1128×	body	2048	valid
262.0ms	5199×	body	128	valid
141.0ms	743×	body	1024	valid
126.0ms	404×	body	4096	valid
51.0ms	333×	body	512	valid
33.0ms	661×	body	128	nan
22.0ms	396×	body	128	invalid
18.0ms	193×	body	256	valid

Compiler

Compiled 2245 to 1623 computations (27.7% saved)

Details

analyze803.0ms (5.9%)

sample43.0ms (0.3%)

simplify334.0ms (2.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite140.0ms (1%)

series732.0ms (5.4%)

simplify68.0ms (0.5%)

prune169.0ms (1.2%)

localize12.0ms (0.1%)

rewrite261.0ms (1.9%)

series1.1s (8.3%)

simplify91.0ms (0.7%)

prune304.0ms (2.2%)

localize16.0ms (0.1%)

rewrite205.0ms (1.5%)

series1.1s (8.2%)

simplify86.0ms (0.6%)

prune211.0ms (1.5%)

localize24.0ms (0.2%)

rewrite241.0ms (1.8%)

series2.4s (17.7%)

simplify72.0ms (0.5%)

prune424.0ms (3.1%)

regimes1.5s (10.8%)

bsearch108.0ms (0.8%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.2s (23.1%)

Profiling