Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify238.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5080	25

prune3.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
15.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1805`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
6×	`pow1_binary64_1844`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `+-commutative_binary64_1713` `associate-*l/_binary64_1726` `sum-log_binary64_1874`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

4 → 73

Calls

4 calls:

7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
6.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series108.0ms (5%)

Counts

4 → 20

Calls

4 calls:

38.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
29.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
25.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
16.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 487 to 408 computations (16.2% saved)

simplify59.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4958	1637
1	4958	1637

prune126.0ms (5.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	2	94

Merged error: 0b

Counts

94 → 2

Compiler

Compiled 2157 to 1696 computations (21.4% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.4b	(/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
15.1b	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))

rewrite37.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1805`
23×	`*-un-lft-identity_binary64_1783`
22×	`add-cube-cbrt_binary64_1818`
20×	`times-frac_binary64_1789`
19×	`add-exp-log_binary64_1821`
18×	`associate-r_binary64_1723`
13×	`add-cbrt-cube_binary64_1819`
9×	`pow1_binary64_1844`
6×	`flip-+_binary64_1757` `associate-l_binary64_1724` `flip3-+_binary64_1786` `add-log-exp_binary64_1822`
5×	`prod-exp_binary64_1832`
4×	`associate-/r/_binary64_1729` `div-exp_binary64_1834` `unswap-sqr_binary64_1751`
3×	`associate-r/_binary64_1725` `associate-/l_binary64_1728` `cbrt-unprod_binary64_1816` `associate-/r*_binary64_1727`
2×	`1-exp_binary64_1827` `div-inv_binary64_1780` `associate-l/_binary64_1726` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `frac-times_binary64_1793` `pow-prod-down_binary64_1854` `rec-exp_binary64_1833`
1×	`un-div-inv_binary64_1781` `+-commutative_binary64_1713` `inv-pow_binary64_1868` `distribute-lft-in_binary64_1732` `pow-flip_binary64_1857` `frac-2neg_binary64_1794` `distribute-rgt-in_binary64_1733` `sum-log_binary64_1874` `clear-num_binary64_1782`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
5.0ms	(/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series118.0ms (5.5%)

Counts

4 → 23

Calls

4 calls:

34.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
33.0ms	(/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
28.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (/.f64 1 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))))
23.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 584 to 497 computations (14.9% saved)

simplify94.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4968	2427
1	4968	2427

prune179.0ms (8.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Merged error: 0b

Counts

133 → 2

Compiler

Compiled 3242 to 2588 computations (20.2% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.9b	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1805` `add-log-exp_binary64_1822`
7×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
5×	`log-prod_binary64_1869`
4×	`exp-sum_binary64_1829`
3×	`log-pow_binary64_1872` `distribute-lft-in_binary64_1732` `associate-l_binary64_1724` `distribute-rgt-in_binary64_1733` `associate-r_binary64_1723`
2×	`associate-*r/_binary64_1725` `flip-+_binary64_1757` `exp-to-pow_binary64_1845` `flip3-+_binary64_1786` `exp-prod_binary64_1835`
1×	`rem-exp-log_binary64_1823` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `*-commutative_binary64_1714` `sum-log_binary64_1874` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `rem-log-exp_binary64_1824`

Counts

4 → 61

Calls

4 calls:

6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
2.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

series199.0ms (9.2%)

Counts

4 → 20

Calls

4 calls:

122.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
31.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
25.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
21.0ms	(exp.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))

Compiler

Compiled 617 to 531 computations (13.9% saved)

simplify71.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5042	917

prune96.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

Compiler

Compiled 1788 to 1398 computations (21.8% saved)

regimes48.0ms (2.2%)

Compiler: Compiled 388 to 326 computations (16% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	112	28
1	112	28

end0.0ms (0%)

sample685.0ms (31.6%)

Algorithm

1×

intervals

Results

342.0ms

8000×

body

128

valid

Compiler

Compiled 213 to 180 computations (15.5% saved)

Details

analyze4.0ms (0.2%)

sample16.0ms (0.7%)

simplify238.0ms (11%)

prune3.0ms (0.1%)

localize10.0ms (0.5%)

rewrite25.0ms (1.2%)

series108.0ms (5%)

simplify59.0ms (2.7%)

prune126.0ms (5.8%)

localize12.0ms (0.6%)

rewrite37.0ms (1.7%)

series118.0ms (5.5%)

simplify94.0ms (4.4%)

prune179.0ms (8.3%)

localize15.0ms (0.7%)

rewrite19.0ms (0.9%)

series199.0ms (9.2%)

simplify71.0ms (3.3%)

prune96.0ms (4.4%)

regimes48.0ms (2.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample685.0ms (31.6%)

Profiling