Details

analyze542.0ms (4.6%)

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%	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)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	130×	body	256	valid
8.0ms	284×	pre	128	true
7.0ms	48×	body	512	valid
4.0ms	78×	body	128	valid
1.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify304.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (298.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune5.0ms (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

54.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
29.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite184.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

51.2b

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.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 1900 to 1105 computations (41.8% saved)

series955.0ms (8.1%)

Error

0.2b

Counts

4 → 72

Calls

4 calls:

301.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
236.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
231.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
150.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2358 to 1932 computations (18.1% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune118.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Error

0.1b

Counts

147 → 6

Compiler

Compiled 2033 to 1136 computations (44.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite548.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

156×	`add-exp-log_binary64_1821`
72×	`prod-exp_binary64_1832`
60×	`div-exp_binary64_1834`
46×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
32×	`add-cbrt-cube_binary64_1819`
26×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
24×	`add-sqr-sqrt_binary64_1805`
22×	`unpow-prod-down_binary64_1862`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`associate-r_binary64_1723`
10×	`cbrt-unprod_binary64_1816` `cube-prod_binary64_1811`
8×	`cbrt-undiv_binary64_1817` `sqr-pow_binary64_1755`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `unswap-sqr_binary64_1751`
3×	`frac-2neg_binary64_1794` `unpow3_binary64_1849` `cube-mult_binary64_1813` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728`
1×	`associate-l_binary64_1724` `*-commutative_binary64_1714`

Counts

4 → 186

Calls

4 calls:

11.0ms	(/.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))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 6718 to 4019 computations (40.2% saved)

series1.4s (11.8%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

495.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
427.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
305.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
152.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2829 to 2178 computations (23% saved)

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune277.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	219	6	225

Error

0.1b

Counts

225 → 6

Compiler

Compiled 4233 to 2543 computations (39.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite661.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

98×	`add-exp-log_binary64_1821`
63×	`times-frac_binary64_1789`
46×	`pow1_binary64_1844`
42×	`unpow-prod-down_binary64_1862` `div-exp_binary64_1834`
40×	`pow-exp_binary64_1851`
39×	`prod-exp_binary64_1832`
36×	`pow-to-exp_binary64_1852`
35×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
26×	`add-cbrt-cube_binary64_1819`
20×	`sqr-pow_binary64_1755`
18×	`pow-prod-down_binary64_1854`
14×	`associate-/r*_binary64_1727`
10×	`cbrt-unprod_binary64_1816`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `associate-/l*_binary64_1728`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
3×	`pow-unpow_binary64_1860` `cbrt-undiv_binary64_1817`
2×	`pow-pow_binary64_1855` `rem-cube-cbrt_binary64_1806` `pow-plus_binary64_1846` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 207

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
5.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9003 to 5208 computations (42.2% saved)

series1.2s (10.6%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

514.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
483.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
126.0ms	(pow.f64 (*.f64 a c) 3)
114.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3149 to 2276 computations (27.7% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4965	3551
1	4965	3551

prune386.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	237	6	243

Error

0.1b

Counts

243 → 6

Compiler

Compiled 5994 to 3497 computations (41.7% saved)

localize14.0ms (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))
29.5b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite355.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

19.0ms	(/.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))
17.0ms	(/.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))))))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 6253 to 2868 computations (54.1% saved)

series1.1s (9.3%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

398.0ms	(/.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))))))
343.0ms	(/.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))
190.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
141.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 2968 to 2156 computations (27.4% saved)

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6129	6703

prune252.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	3	0	3
Picked	1	0	1
Done	0	2	2
Total	199	5	204

Error

Counts

204 → 5

Compiler

Compiled 4799 to 2390 computations (50.2% saved)

regimes1.3s (11.3%)

Accuracy

Total 0.3b remaining (94.9%)

Threshold costs 0.3b (94.9%)

Compiler

Compiled 18206 to 12176 computations (33.1% 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

end2.0ms (0%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

sample1.7s (14.1%)

Algorithm

1×

intervals

Results

400.0ms	3818×	body	256	valid
259.0ms	8823×	pre	128	true
209.0ms	1432×	body	512	valid
148.0ms	2750×	body	128	valid
39.0ms	823×	body	128	nan

Compiler

Compiled 229 to 179 computations (21.8% saved)

Details

analyze542.0ms (4.6%)

sample48.0ms (0.4%)

simplify304.0ms (2.6%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite184.0ms (1.6%)

series955.0ms (8.1%)

simplify74.0ms (0.6%)

prune118.0ms (1%)

localize31.0ms (0.3%)

rewrite548.0ms (4.6%)

series1.4s (11.8%)

simplify89.0ms (0.8%)

prune277.0ms (2.3%)

localize30.0ms (0.3%)

rewrite661.0ms (5.6%)

series1.2s (10.6%)

simplify86.0ms (0.7%)

prune386.0ms (3.3%)

localize14.0ms (0.1%)

rewrite355.0ms (3%)

series1.1s (9.3%)

simplify109.0ms (0.9%)

prune252.0ms (2.1%)

regimes1.3s (11.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end2.0ms (0%)

sample1.7s (14.1%)

Profiling