Details

analyze551.0ms (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	126×	body	256	valid
9.0ms	288×	pre	128	true
6.0ms	41×	body	512	valid
4.0ms	89×	body	128	valid
1.0ms	32×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify295.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (289.0ms)

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

51.3b

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)))
0.0b	(-.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))
26.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite164.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

48.2b

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:

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)

series964.0ms (8%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

267.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
237.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
219.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune183.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	8	147

Error

0.3b

Counts

147 → 8

Compiler

Compiled 3386 to 1818 computations (46.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite608.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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×	`cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
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:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
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))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series1.1s (9.3%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

431.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
302.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
175.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
158.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune545.0ms (4.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	208	8	216

Error

0.3b

Counts

216 → 8

Compiler

Compiled 9498 to 5584 computations (41.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite580.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

127×	`add-exp-log_binary64_1821`
60×	`prod-exp_binary64_1832`
46×	`pow1_binary64_1844`
45×	`div-exp_binary64_1834`
42×	`add-cbrt-cube_binary64_1819`
35×	`pow-exp_binary64_1851`
34×	`pow-to-exp_binary64_1852`
19×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
18×	`pow-prod-down_binary64_1854` `cbrt-unprod_binary64_1816`
15×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
13×	`unpow-prod-down_binary64_1862`
7×	`cube-prod_binary64_1811` `cbrt-undiv_binary64_1817`
5×	`sqr-pow_binary64_1755`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
3×	`pow-unpow_binary64_1860` `unpow3_binary64_1849` `cube-mult_binary64_1813`
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` `associate-/l*_binary64_1728`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 168

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9233 to 5284 computations (42.8% saved)

series1.2s (9.5%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

479.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
347.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
135.0ms	(pow.f64 (*.f64 a c) 3)
124.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4446 to 3135 computations (29.5% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune614.0ms (5.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	198	8	206

Error

0.3b

Counts

206 → 8

Compiler

Compiled 10099 to 6011 computations (40.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
0.2b	(.f64 a (.f64 c c))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite160.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

32×	`add-exp-log_binary64_1821`
24×	`times-frac_binary64_1789`
18×	`*-un-lft-identity_binary64_1783`
17×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805`
16×	`cancel-sign-sub-inv_binary64_1749`
14×	`add-cube-cbrt_binary64_1818`
12×	`prod-exp_binary64_1832` `associate-/r*_binary64_1727`
9×	`div-exp_binary64_1834` `unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
8×	`pow1_binary64_1844`
7×	`add-log-exp_binary64_1822`
6×	`cbrt-unprod_binary64_1816`
3×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-undiv_binary64_1817` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `pow-prod-down_binary64_1854` `associate-l_binary64_1724`
2×	`div-inv_binary64_1780` `diff-log_binary64_1875` `distribute-lft-out--_binary64_1735`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l_binary64_1728` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `-commutative_binary64_1714` `neg-log_binary64_1876` `distribute-neg-frac_binary64_1747` `frac-sub_binary64_1792` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-rgt-neg-in_binary64_1741` `neg-sub0_binary64_1778` `associate--l-_binary64_1721`

Counts

3 → 99

Calls

3 calls:

28.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
5.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 2121 to 809 computations (61.9% saved)

series840.0ms (6.9%)

Error

0.3b

Counts

3 → 33

Calls

3 calls:

438.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
289.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
90.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 1158 to 885 computations (23.6% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5155	2014

prune110.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	131	9	140

Error

0.2b

Counts

140 → 9

Compiler

Compiled 2164 to 713 computations (67.1% saved)

regimes640.0ms (5.3%)

Accuracy

Total 1.3b remaining (88.6%)

Threshold costs 0b (0%)

Compiler

Compiled 8376 to 5942 computations (29.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample3.1s (25.8%)

Algorithm

1×

intervals

Results

374.0ms	3751×	body	256	valid
279.0ms	8836×	pre	128	true
215.0ms	1425×	body	512	valid
149.0ms	2824×	body	128	valid
39.0ms	836×	body	128	nan

Compiler

Compiled 2156 to 1535 computations (28.8% saved)

Details

analyze551.0ms (4.6%)

sample48.0ms (0.4%)

simplify295.0ms (2.4%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite164.0ms (1.4%)

series964.0ms (8%)

simplify73.0ms (0.6%)

prune183.0ms (1.5%)

localize28.0ms (0.2%)

rewrite608.0ms (5%)

series1.1s (9.3%)

simplify86.0ms (0.7%)

prune545.0ms (4.5%)

localize28.0ms (0.2%)

rewrite580.0ms (4.8%)

series1.2s (9.5%)

simplify80.0ms (0.7%)

prune614.0ms (5.1%)

localize10.0ms (0.1%)

rewrite160.0ms (1.3%)

series840.0ms (6.9%)

simplify70.0ms (0.6%)

prune110.0ms (0.9%)

regimes640.0ms (5.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.1s (25.8%)

Profiling