Details

analyze275.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	115×	body	256	valid
8.0ms	285×	pre	128	true
6.0ms	42×	body	512	valid
5.0ms	99×	body	128	valid
1.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify399.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (306.0ms)

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

50.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
26.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite141.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

47.7b

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×	`difference-of-squares_binary64_1752` `sqrt-prod_binary64_1799` `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×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730` `sqrt-div_binary64_1800`
1×	`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` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

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

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series674.0ms (5.8%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

199.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
143.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
100.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune157.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

0.2b

Counts

147 → 7

Compiler

Compiled 3360 to 1796 computations (46.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite487.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

109×	`add-exp-log_binary64_1821`
54×	`prod-exp_binary64_1832`
42×	`add-sqr-sqrt_binary64_1805`
30×	`div-exp_binary64_1834`
29×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
24×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
22×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
19×	`times-frac_binary64_1789` `associate-/r_binary64_1727` `associate-r*_binary64_1723`
16×	`unswap-sqr_binary64_1751` `cube-prod_binary64_1811`
15×	`sqr-pow_binary64_1755`
13×	`associate-l_binary64_1724`
10×	`cbrt-unprod_binary64_1816`
6×	`cbrt-undiv_binary64_1817`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `unpow3_binary64_1849` `cube-mult_binary64_1813`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728` `-commutative_binary64_1714`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series742.0ms (6.3%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

275.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
193.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
119.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
100.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune505.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	208	7	215

Error

0.2b

Counts

215 → 7

Compiler

Compiled 9472 to 5563 computations (41.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.6b	(pow.f64 (*.f64 a c) 3)

rewrite664.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

56×	`times-frac_binary64_1789`
51×	`add-exp-log_binary64_1821`
48×	`unpow-prod-down_binary64_1862`
47×	`add-sqr-sqrt_binary64_1805`
46×	`pow1_binary64_1844`
35×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
26×	`sqr-pow_binary64_1755`
23×	`add-cbrt-cube_binary64_1819`
21×	`prod-exp_binary64_1832`
19×	`pow-prod-down_binary64_1854`
18×	`pow-exp_binary64_1851`
14×	`pow-to-exp_binary64_1852`
12×	`div-exp_binary64_1834`
10×	`cbrt-unprod_binary64_1816`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
8×	`associate-l_binary64_1724` `associate-r_binary64_1723` `associate-/l*_binary64_1728`
7×	`associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
3×	`pow-unpow_binary64_1860`
2×	`pow-pow_binary64_1855` `rem-cube-cbrt_binary64_1806` `pow-plus_binary64_1846` `*-commutative_binary64_1714`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 192

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 10918 to 6364 computations (41.7% saved)

series665.0ms (5.7%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

323.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
115.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
89.0ms	(pow.f64 (*.f64 a c) 3)
86.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5427	3066

prune585.0ms (5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	219	7	226

Error

0.2b

Counts

226 → 7

Compiler

Compiled 11776 to 6878 computations (41.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
0.1b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
26.6b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite329.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

70×	`times-frac_binary64_1789`
60×	`*-un-lft-identity_binary64_1783`
46×	`add-sqr-sqrt_binary64_1805`
32×	`add-cube-cbrt_binary64_1818`
26×	`associate-/l*_binary64_1728`
18×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
14×	`difference-of-squares_binary64_1752` `distribute-lft-out_binary64_1734`
11×	`add-log-exp_binary64_1822`
7×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
6×	`associate-/r/_binary64_1729`
5×	`associate-/r*_binary64_1727`
4×	`pow1_binary64_1844` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`
3×	`diff-log_binary64_1875` `div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749` `associate--l+_binary64_1720` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`associate--l-_binary64_1721` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 135

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
16.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 6948 to 3195 computations (54% saved)

series763.0ms (6.5%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

258.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
219.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
128.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
88.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 4072 to 2773 computations (31.9% saved)

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6129	6703

prune282.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	192	6	198
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	198	7	205

Error

Counts

205 → 7

Compiler

Compiled 6822 to 3378 computations (50.5% saved)

regimes838.0ms (7.2%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 13488 to 9130 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	20	33

end0.0ms (0%)

sample3.7s (31.6%)

Algorithm

1×

intervals

Results

367.0ms	3704×	body	256	valid
263.0ms	8819×	pre	128	true
222.0ms	1488×	body	512	valid
147.0ms	2808×	body	128	valid
44.0ms	819×	body	128	nan

Compiler

Compiled 3414 to 2314 computations (32.2% saved)

Details

analyze275.0ms (2.4%)

sample47.0ms (0.4%)

simplify399.0ms (3.4%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite141.0ms (1.2%)

series674.0ms (5.8%)

simplify74.0ms (0.6%)

prune157.0ms (1.3%)

localize27.0ms (0.2%)

rewrite487.0ms (4.2%)

series742.0ms (6.3%)

simplify88.0ms (0.8%)

prune505.0ms (4.3%)

localize29.0ms (0.2%)

rewrite664.0ms (5.7%)

series665.0ms (5.7%)

simplify82.0ms (0.7%)

prune585.0ms (5%)

localize13.0ms (0.1%)

rewrite329.0ms (2.8%)

series763.0ms (6.5%)

simplify112.0ms (1%)

prune282.0ms (2.4%)

regimes838.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.7s (31.6%)

Profiling