Details

analyze704.0ms (2.4%)

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)

sample42.0ms (0.1%)

Algorithm

1×

intervals

Results

11.0ms	196×	body	128	valid
7.0ms	256×	pre	128	true
7.0ms	30×	body	1024	valid
4.0ms	21×	body	512	valid
1.0ms	3×	body	2048	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify436.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (427.0ms)

Iter	Nodes	Cost
0	5018	19

prune11.0ms (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

14.9b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize15.0ms (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)

rewrite64.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
2×	`div-sub_binary64_1788` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1_binary64_1844`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `div-inv_binary64_1780` `associate-+l-_binary64_1718` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782` `flip--_binary64_1758`

Counts

2 → 65

Calls

2 calls:

34.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

series591.0ms (2%)

Counts

2 → 40

Calls

2 calls:

357.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
234.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1682 to 1406 computations (16.4% saved)

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5009	3116

prune264.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 2785 to 1661 computations (40.4% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
0.1b	(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
1.4b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
6.5b	(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))

rewrite141.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_1783`
31×	`add-sqr-sqrt_binary64_1805`
25×	`times-frac_binary64_1789`
21×	`distribute-lft-out_binary64_1734`
19×	`add-cube-cbrt_binary64_1818`
8×	`log-prod_binary64_1869`
7×	`add-exp-log_binary64_1821`
6×	`add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `add-log-exp_binary64_1822` `pow1_binary64_1844`
5×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
4×	`exp-sum_binary64_1829` `flip-+_binary64_1757` `flip3-+_binary64_1786` `exp-prod_binary64_1835` `log-div_binary64_1870`
2×	`div-sub_binary64_1788` `exp-diff_binary64_1831` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `log-pow_binary64_1872`
1×	`flip3--_binary64_1787` `rem-exp-log_binary64_1823` `+-commutative_binary64_1713` `div-inv_binary64_1780` `associate-+l-_binary64_1718` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782` `flip--_binary64_1758` `rem-log-exp_binary64_1824`

Counts

4 → 98

Calls

4 calls:

38.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
34.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
32.0ms	(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

series2.8s (9.6%)

Counts

4 → 72

Calls

4 calls:

1.2s	(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
979.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
343.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
228.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

Compiler

Compiled 5610 to 4643 computations (17.2% saved)

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5174	7085

prune598.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	170	3	173

Error

0.0b

Counts

173 → 3

Compiler

Compiled 5945 to 3880 computations (34.7% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
11×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
5×	`associate-/l*_binary64_1728`
4×	`distribute-rgt-out_binary64_1736` `distribute-rgt1-in_binary64_1739`
3×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-/r*_binary64_1727`
2×	`associate-/l/_binary64_1730`
1×	`flip-+_binary64_1757` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `flip3-+_binary64_1786` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 37

Calls

1 calls:

11.0ms

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

series176.0ms (0.6%)

Counts

1 → 9

Calls

1 calls:

176.0ms

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

Compiler

Compiled 151 to 146 computations (3.3% saved)

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	6271	668

prune75.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Error

0.0b

Counts

49 → 3

Compiler

Compiled 751 to 555 computations (26.1% saved)

localize112.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.8b	(+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 40 (/.f64 beta (pow.f64 alpha 4)))) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 2 (/.f64 36 (*.f64 alpha alpha))))))
16.1b	(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
16.8b	(/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))
18.8b	(-.f64 (+.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))) (.f64 2 (+.f64 (/.f64 beta alpha) (pow.f64 (/.f64 beta alpha) 3)))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 4)) (+.f64 (.f64 14 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 40 (/.f64 beta (pow.f64 alpha 4)))) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 2 (/.f64 36 (*.f64 alpha alpha))))))))))

rewrite677.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

345×	`frac-add_binary64_1791`
258×	`add-log-exp_binary64_1822`
181×	`sum-log_binary64_1874`
180×	`associate-*r/_binary64_1725`
139×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
96×	`times-frac_binary64_1789`
92×	`frac-sub_binary64_1792`
69×	`unpow-prod-down_binary64_1862`
65×	`*-un-lft-identity_binary64_1783`
63×	`add-sqr-sqrt_binary64_1805`
61×	`add-cube-cbrt_binary64_1818`
35×	`diff-log_binary64_1875`
30×	`cube-prod_binary64_1811`
29×	`add-exp-log_binary64_1821`
28×	`cube-div_binary64_1812`
27×	`frac-times_binary64_1793`
23×	`sqr-pow_binary64_1755`
19×	`associate-/r*_binary64_1727`
18×	`associate-*l/_binary64_1726`
15×	`div-exp_binary64_1834`
13×	`associate-/l*_binary64_1728`
11×	`add-cbrt-cube_binary64_1819`
10×	`cube-mult_binary64_1813` `unpow3_binary64_1849`
8×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
4×	`pow1_binary64_1844`
3×	`prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749` `cbrt-undiv_binary64_1817`
2×	`div-inv_binary64_1780` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`flip3--_binary64_1787` `associate-+r+_binary64_1715` `difference-of-squares_binary64_1752` `+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `distribute-lft-out--_binary64_1735` `associate--l+_binary64_1720` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`

Counts

4 → 360

Calls

4 calls:

187.0ms	(-.f64 (+.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))) (.f64 2 (+.f64 (/.f64 beta alpha) (pow.f64 (/.f64 beta alpha) 3)))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 4)) (+.f64 (.f64 14 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 40 (/.f64 beta (pow.f64 alpha 4)))) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 2 (/.f64 36 (*.f64 alpha alpha))))))))))
61.0ms	(+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 40 (/.f64 beta (pow.f64 alpha 4)))) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 2 (/.f64 36 (*.f64 alpha alpha))))))
15.0ms	(/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))
13.0ms	(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))

series2.1s (7.4%)

Counts

4 → 41

Calls

4 calls:

978.0ms	(+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 40 (/.f64 beta (pow.f64 alpha 4)))) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 2 (/.f64 36 (*.f64 alpha alpha))))))
630.0ms	(-.f64 (+.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))) (.f64 2 (+.f64 (/.f64 beta alpha) (pow.f64 (/.f64 beta alpha) 3)))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 2 (pow.f64 (/.f64 beta alpha) 4)) (+.f64 (.f64 14 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 40 (/.f64 beta (pow.f64 alpha 4)))) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 2 (/.f64 36 (*.f64 alpha alpha))))))))))
277.0ms	(/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))
264.0ms	(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))

Compiler

Compiled 5461 to 4054 computations (25.8% saved)

simplify1.3s (4.3%)

Algorithm

1×	egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4967	93295
1	4967	93295

prune14.6s (50.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	400	1	401
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	400	4	404

Error

Counts

404 → 4

Compiler

Compiled 85094 to 54459 computations (36% saved)

regimes838.0ms (2.9%)

Accuracy

Total 0.1b remaining (83.5%)

Threshold costs 0.1b (83.5%)

Compiler

Compiled 4884 to 3609 computations (26.1% saved)

bsearch4.0ms (0%)

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	87
1	66	87

end0.0ms (0%)

sample3.0s (10.3%)

Algorithm

1×

intervals

Results

382.0ms	6001×	body	128	valid
265.0ms	8000×	pre	128	true
264.0ms	1023×	body	1024	valid
111.0ms	560×	body	512	valid
41.0ms	331×	body	256	valid
27.0ms	85×	body	2048	valid

Compiler

Compiled 1018 to 745 computations (26.8% saved)

Details

analyze704.0ms (2.4%)

sample42.0ms (0.1%)

simplify436.0ms (1.5%)

prune11.0ms (0%)

localize15.0ms (0.1%)

rewrite64.0ms (0.2%)

series591.0ms (2%)

simplify139.0ms (0.5%)

prune264.0ms (0.9%)

localize23.0ms (0.1%)

rewrite141.0ms (0.5%)

series2.8s (9.6%)

simplify155.0ms (0.5%)

prune598.0ms (2.1%)

localize12.0ms (0%)

rewrite16.0ms (0.1%)

series176.0ms (0.6%)

simplify141.0ms (0.5%)

prune75.0ms (0.3%)

localize112.0ms (0.4%)

rewrite677.0ms (2.3%)

series2.1s (7.4%)

simplify1.3s (4.3%)

prune14.6s (50.3%)

regimes838.0ms (2.9%)

bsearch4.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.0s (10.3%)

Profiling