Details

analyze395.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4733	38
1	4733	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 20 to 16 computations (20% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	183×	body	128	valid
5.0ms	38×	body	1024	valid
4.0ms	256×	pre	128	true
2.0ms	22×	body	512	valid
1.0ms	5×	body	2048	valid
0.0ms	8×	body	256	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify248.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (243.0ms)

Iter	Nodes	Cost
0	5018	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

17.5b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.4b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite111.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

16.8b

Rules

58×	`*-un-lft-identity_binary64_1783`
26×	`add-sqr-sqrt_binary64_1805`
25×	`times-frac_binary64_1789`
19×	`distribute-lft-out_binary64_1734`
14×	`add-cube-cbrt_binary64_1818`
6×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
5×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
4×	`add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`pow1_binary64_1844` `flip3-+_binary64_1786` `flip-+_binary64_1757` `div-sub_binary64_1788` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`sum-log_binary64_1874` `associate-+l-_binary64_1718` `+-commutative_binary64_1713` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

2 → 65

Calls

2 calls:

18.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series384.0ms (3.4%)

Error

0.1b

Counts

2 → 40

Calls

2 calls:

187.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
134.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 2952 to 2371 computations (19.7% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5018	2918

prune120.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 2570 to 1588 computations (38.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_1822`
1×	`sum-log_binary64_1874` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `associate-r/_binary64_1725` `frac-add_binary64_1791` `flip3-+_binary64_1786` `-un-lft-identity_binary64_1783` `flip-+_binary64_1757` `div-inv_binary64_1780` `distribute-lft-out_binary64_1734` `+-commutative_binary64_1713`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))

Compiler

Compiled 294 to 204 computations (30.6% saved)

series118.0ms (1%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

111.0ms

(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))

Compiler

Compiled 284 to 257 computations (9.5% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5224	321

prune20.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Error

0.0b

Counts

25 → 3

Compiler

Compiled 380 to 274 computations (27.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))
0.3b	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
0.5b	(/.f64 4 (*.f64 alpha alpha))
3.8b	(-.f64 (+.f64 (/.f64 2 alpha) (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))) (/.f64 4 (.f64 alpha alpha)))

rewrite415.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`add-sqr-sqrt_binary64_1805`
76×	`times-frac_binary64_1789`
62×	`*-un-lft-identity_binary64_1783`
58×	`add-cube-cbrt_binary64_1818`
33×	`cancel-sign-sub-inv_binary64_1749`
26×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
19×	`associate-r_binary64_1723`
14×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
13×	`pow1_binary64_1844` `swap-sqr_binary64_1750`
9×	`add-log-exp_binary64_1822` `div-inv_binary64_1780`
7×	`frac-sub_binary64_1792` `prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816`
6×	`frac-add_binary64_1791` `unswap-sqr_binary64_1751`
5×	`flip3--_binary64_1787` `frac-times_binary64_1793` `flip--_binary64_1758` `associate-*r/_binary64_1725`
4×	`associate-*l/_binary64_1726` `difference-of-squares_binary64_1752`
3×	`sub-neg_binary64_1776` `associate-/l*_binary64_1728`
2×	`diff-log_binary64_1875` `distribute-lft-out--_binary64_1735` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714`
1×	`sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `sub-div_binary64_1790` `associate--l+_binary64_1720` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727` `pow2_binary64_1864` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756`

Counts

4 → 186

Calls

4 calls:

14.0ms	(*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))
14.0ms	(-.f64 (+.f64 (/.f64 2 alpha) (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))) (/.f64 4 (.f64 alpha alpha)))
11.0ms	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
4.0ms	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 7837 to 4169 computations (46.8% saved)

series536.0ms (4.7%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

285.0ms	(-.f64 (+.f64 (/.f64 2 alpha) (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))) (/.f64 4 (.f64 alpha alpha)))
102.0ms	(*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha)))
90.0ms	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
24.0ms	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 2461 to 1726 computations (29.9% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	3946
1	4971	3946

prune361.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	212	5	217

Error

0.0b

Counts

217 → 5

Compiler

Compiled 7916 to 4292 computations (45.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
0.5b	(/.f64 4 (*.f64 alpha alpha))
1.9b	(exp.f64 (log.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha))) (/.f64 4 (.f64 alpha alpha))))))
3.8b	(-.f64 (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha))) (/.f64 4 (.f64 alpha alpha)))

rewrite428.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

64×	`add-sqr-sqrt_binary64_1805` `times-frac_binary64_1789`
54×	`*-un-lft-identity_binary64_1783`
52×	`add-cube-cbrt_binary64_1818`
33×	`cancel-sign-sub-inv_binary64_1749`
28×	`associate--l+_binary64_1720`
21×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
14×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
13×	`swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
12×	`pow1_binary64_1844`
10×	`frac-sub_binary64_1792`
9×	`log-div_binary64_1870` `exp-diff_binary64_1831`
8×	`div-inv_binary64_1780`
7×	`frac-add_binary64_1791`
6×	`add-log-exp_binary64_1822` `flip3--_binary64_1787` `flip--_binary64_1758` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
5×	`frac-times_binary64_1793` `associate-*r/_binary64_1725` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`exp-prod_binary64_1835` `log-prod_binary64_1869` `exp-sum_binary64_1829` `unswap-sqr_binary64_1751`
3×	`associate-l/_binary64_1726` `sub-neg_binary64_1776` `associate-/l_binary64_1728`
1×	`diff-log_binary64_1875` `log-pow_binary64_1872` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `rem-exp-log_binary64_1823` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r_binary64_1727` `pow2_binary64_1864` `pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756` `-commutative_binary64_1714`

Counts

4 → 164

Calls

4 calls:

21.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha))) (/.f64 4 (.f64 alpha alpha))))))
18.0ms	(-.f64 (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha))) (/.f64 4 (.f64 alpha alpha)))
14.0ms	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
5.0ms	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 7591 to 4233 computations (44.2% saved)

series4.8s (41.7%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

4.3s	(exp.f64 (log.f64 (+.f64 (/.f64 2 alpha) (-.f64 (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha))) (/.f64 4 (.f64 alpha alpha))))))
240.0ms	(-.f64 (.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 6 alpha))) (/.f64 4 (.f64 alpha alpha)))
98.0ms	(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
29.0ms	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 3388 to 2559 computations (24.5% saved)

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4930	4225
1	4930	4225

prune360.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	194	5	199

Error

0.0b

Counts

199 → 5

Compiler

Compiled 7674 to 4364 computations (43.1% saved)

regimes629.0ms (5.5%)

Accuracy

Total 0.0b remaining (33.3%)

Threshold costs 0.0b (33.3%)

Compiler

Compiled 8017 to 5844 computations (27.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	83
1	80	83

end0.0ms (0%)

sample2.1s (18.2%)

Algorithm

1×

intervals

Results

199.0ms	5938×	body	128	valid
154.0ms	8000×	pre	128	true
123.0ms	1004×	body	1024	valid
57.0ms	623×	body	512	valid
21.0ms	337×	body	256	valid
15.0ms	98×	body	2048	valid

Compiler

Compiled 1600 to 1164 computations (27.3% saved)

Details

analyze395.0ms (3.5%)

sample29.0ms (0.3%)

simplify248.0ms (2.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite111.0ms (1%)

series384.0ms (3.4%)

simplify73.0ms (0.6%)

prune120.0ms (1.1%)

localize7.0ms (0.1%)

rewrite20.0ms (0.2%)

series118.0ms (1%)

simplify48.0ms (0.4%)

prune20.0ms (0.2%)

localize18.0ms (0.2%)

rewrite415.0ms (3.6%)

series536.0ms (4.7%)

simplify98.0ms (0.9%)

prune361.0ms (3.2%)

localize18.0ms (0.2%)

rewrite428.0ms (3.7%)

series4.8s (41.7%)

simplify123.0ms (1.1%)

prune360.0ms (3.2%)

regimes629.0ms (5.5%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (18.2%)

Profiling