Details

analyze260.0ms (2.3%)

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)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	124×	body	256	valid
8.0ms	281×	pre	128	true
6.0ms	41×	body	512	valid
4.0ms	91×	body	128	valid
1.0ms	25×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify398.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (300.0ms)

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

52.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.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))
30.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite148.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

49.0b

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))
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 2100 to 1220 computations (41.9% saved)

series707.0ms (6.1%)

Error

0.1b

Counts

4 → 72

Calls

4 calls:

205.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
167.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
151.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune156.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	5	147

Error

0.1b

Counts

147 → 5

Compiler

Compiled 3299 to 1755 computations (46.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
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))

rewrite477.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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×	`associate-r_binary64_1723` `times-frac_binary64_1789` `associate-/r*_binary64_1727`
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×	`-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728`

Counts

4 → 178

Calls

4 calls:

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

series783.0ms (6.8%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

284.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
211.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
110.0ms	(.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 (56.0ms)

Iter	Nodes	Cost
0	5093	3032

prune504.0ms (4.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	207	6	213

Error

0.1b

Counts

213 → 6

Compiler

Compiled 9454 to 5555 computations (41.2% saved)

localize27.0ms (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))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite651.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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)

series658.0ms (5.7%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

296.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
112.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
102.0ms	(pow.f64 (*.f64 a c) 3)
93.0ms	(.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 (48.0ms)

Iter	Nodes	Cost
0	5427	3066

prune595.0ms (5.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	219	6	225

Error

0.1b

Counts

225 → 6

Compiler

Compiled 11758 to 6870 computations (41.6% saved)

localize33.0ms (0.3%)

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))
12.4b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite455.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

85×	`add-exp-log_binary64_1821`
45×	`prod-exp_binary64_1832`
40×	`add-sqr-sqrt_binary64_1805`
26×	`unpow-prod-down_binary64_1862`
21×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `div-exp_binary64_1834`
20×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-cbrt-cube_binary64_1819`
19×	`associate-r_binary64_1723`
16×	`unswap-sqr_binary64_1751`
14×	`times-frac_binary64_1789` `sqr-pow_binary64_1755`
13×	`associate-l_binary64_1724`
12×	`log-pow_binary64_1872`
11×	`exp-prod_binary64_1835`
10×	`cube-prod_binary64_1811`
7×	`cbrt-unprod_binary64_1816` `associate-/r*_binary64_1727`
5×	`pow1_binary64_1844`
4×	`add-log-exp_binary64_1822`
3×	`log-prod_binary64_1869` `cbrt-undiv_binary64_1817`
2×	`div-inv_binary64_1780` `unpow3_binary64_1849` `cube-mult_binary64_1813` `*-commutative_binary64_1714`
1×	`rem-log-exp_binary64_1824` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l*_binary64_1728`

Counts

4 → 154

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
5.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

Compiler

Compiled 7758 to 4764 computations (38.6% saved)

series1.1s (9.9%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

572.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
283.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
122.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
104.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3846 to 2839 computations (26.2% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5149	2763

prune473.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	184	6	190

Error

0.1b

Counts

190 → 6

Compiler

Compiled 8584 to 5254 computations (38.8% saved)

regimes556.0ms (4.8%)

Accuracy

Total 1.3b remaining (87.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8192 to 5890 computations (28.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample3.1s (27%)

Algorithm

1×

intervals

Results

464.0ms	8845×	pre	128	true
361.0ms	3770×	body	256	valid
214.0ms	1514×	body	512	valid
127.0ms	2716×	body	128	valid
37.0ms	845×	body	128	nan

Compiler

Compiled 2109 to 1519 computations (28% saved)

Details

analyze260.0ms (2.3%)

sample45.0ms (0.4%)

simplify398.0ms (3.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite148.0ms (1.3%)

series707.0ms (6.1%)

simplify75.0ms (0.6%)

prune156.0ms (1.3%)

localize26.0ms (0.2%)

rewrite477.0ms (4.1%)

series783.0ms (6.8%)

simplify88.0ms (0.8%)

prune504.0ms (4.4%)

localize27.0ms (0.2%)

rewrite651.0ms (5.6%)

series658.0ms (5.7%)

simplify82.0ms (0.7%)

prune595.0ms (5.2%)

localize33.0ms (0.3%)

rewrite455.0ms (3.9%)

series1.1s (9.9%)

simplify77.0ms (0.7%)

prune473.0ms (4.1%)

regimes556.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (27%)

Profiling