Details

analyze486.0ms (5.2%)

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 (0.5%)

Algorithm

1×

intervals

Results

10.0ms	107×	body	256	valid
8.0ms	289×	pre	128	true
7.0ms	52×	body	512	valid
5.0ms	97×	body	128	valid
2.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify319.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (313.0ms)

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

51.2b

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 (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))
25.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite153.0ms (1.6%)

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:

12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
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)

series678.0ms (7.2%)

Error

0.2b

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))
148.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
104.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune162.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Error

0.2b

Counts

147 → 9

Compiler

Compiled 3384 to 1819 computations (46.2% saved)

localize26.0ms (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))

rewrite533.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

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))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8813 to 5217 computations (40.8% saved)

series985.0ms (10.5%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

318.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
278.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
219.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
108.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4059 to 2950 computations (27.3% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune544.0ms (5.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	219	9	228

Error

0.2b

Counts

228 → 9

Compiler

Compiled 9867 to 5883 computations (40.4% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite497.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

80×	`add-exp-log_binary64_1821`
46×	`pow1_binary64_1844`
42×	`prod-exp_binary64_1832`
39×	`add-cbrt-cube_binary64_1819`
27×	`add-sqr-sqrt_binary64_1805`
19×	`unpow-prod-down_binary64_1862` `pow-prod-down_binary64_1854`
18×	`cbrt-unprod_binary64_1816`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `div-exp_binary64_1834`
13×	`pow-exp_binary64_1851`
12×	`pow-to-exp_binary64_1852` `times-frac_binary64_1789` `associate-/r*_binary64_1727`
11×	`sqr-pow_binary64_1755`
9×	`unswap-sqr_binary64_1751`
8×	`associate-l_binary64_1724` `associate-r_binary64_1723`
7×	`cube-prod_binary64_1811`
5×	`cbrt-undiv_binary64_1817`
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` `*-commutative_binary64_1714`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728`

Counts

4 → 153

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8467 to 4865 computations (42.5% saved)

series605.0ms (6.4%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

249.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
112.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
99.0ms	(pow.f64 (*.f64 a c) 3)
93.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2847 computations (28.9% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5056	1914

prune490.0ms (5.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	180	9	189

Error

0.2b

Counts

189 → 9

Compiler

Compiled 9288 to 5562 computations (40.1% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Error

0.2b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

regimes571.0ms (6.1%)

Accuracy

Total 1.3b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 8548 to 6130 computations (28.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample3.0s (32.1%)

Algorithm

1×

intervals

Results

380.0ms	3799×	body	256	valid
276.0ms	8830×	pre	128	true
209.0ms	1444×	body	512	valid
141.0ms	2757×	body	128	valid
41.0ms	830×	body	128	nan

Compiler

Compiled 2199 to 1582 computations (28.1% saved)

Details

analyze486.0ms (5.2%)

sample48.0ms (0.5%)

simplify319.0ms (3.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite153.0ms (1.6%)

series678.0ms (7.2%)

simplify77.0ms (0.8%)

prune162.0ms (1.7%)

localize26.0ms (0.3%)

rewrite533.0ms (5.7%)

series985.0ms (10.5%)

simplify90.0ms (1%)

prune544.0ms (5.8%)

localize31.0ms (0.3%)

rewrite497.0ms (5.3%)

series605.0ms (6.4%)

simplify58.0ms (0.6%)

prune490.0ms (5.2%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

regimes571.0ms (6.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.0s (32.1%)

Profiling