Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample31.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	59×	body	1024	valid
5.0ms	139×	body	128	valid
4.0ms	30×	body	512	valid
2.0ms	22×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify171.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.8b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

3.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_1783`
24×	`add-sqr-sqrt_binary64_1805`
15×	`times-frac_binary64_1789`
13×	`add-cube-cbrt_binary64_1818`
7×	`add-log-exp_binary64_1822`
5×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734`
4×	`difference-of-squares_binary64_1752` `associate-/r*_binary64_1727`
3×	`associate-/l*_binary64_1728` `cancel-sign-sub-inv_binary64_1749` `pow1_binary64_1844`
2×	`associate-/r/_binary64_1729` `difference-of-sqr-1_binary64_1753` `flip-+_binary64_1757` `flip3-+_binary64_1786`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `div-inv_binary64_1780` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

3 → 66

Calls

6 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series104.0ms (3%)

Counts

3 → 13

Calls

3 calls:

49.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
35.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
19.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 218 to 235 computations (-7.8% saved)

simplify80.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4932	1365
1	4932	1365

prune117.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Error

Counts

80 → 2

Compiler

Compiled 1284 to 1164 computations (9.3% saved)

localize12.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.6b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite75.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64_1783`
45×	`times-frac_binary64_1789`
39×	`add-sqr-sqrt_binary64_1805`
27×	`add-cube-cbrt_binary64_1818`
17×	`distribute-lft-out_binary64_1734`
13×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
12×	`associate-/r/_binary64_1729` `difference-of-sqr--1_binary64_1754` `associate-/l*_binary64_1728`
10×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
9×	`associate-/r*_binary64_1727`
6×	`add-log-exp_binary64_1822`
4×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `frac-times_binary64_1793` `pow1_binary64_1844`
3×	`div-inv_binary64_1780` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`associate-r/_binary64_1725` `associate-/l/_binary64_1730` `associate-l/_binary64_1726`
1×	`+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sum-log_binary64_1874`

Counts

4 → 126

Calls

8 calls:

26.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
15.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
13.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series367.0ms (10.6%)

Counts

4 → 18

Calls

4 calls:

173.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
86.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
65.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
43.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Compiler

Compiled 674 to 659 computations (2.2% saved)

simplify98.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4945	4312
1	4945	4312

prune335.0ms (9.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	144	2	146

Error

Counts

146 → 2

Compiler

Compiled 4973 to 4492 computations (9.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 1/3 (pow.f64 x 3))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
6×	`add-exp-log_binary64_1821`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`unpow-prod-down_binary64_1862` `unswap-sqr_binary64_1751` `cube-prod_binary64_1811`
3×	`add-cbrt-cube_binary64_1819` `prod-exp_binary64_1832` `associate-l_binary64_1724`
2×	`sqr-pow_binary64_1755`
1×	`cube-mult_binary64_1813` `cbrt-unprod_binary64_1816` `unpow3_binary64_1849` `*-commutative_binary64_1714` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 31

Calls

2 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
0.0ms	(*.f64 1/3 (pow.f64 x 3))

series33.0ms (1%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 42 to 42 computations (0% saved)

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4936	304
1	4936	304

prune28.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 370 to 260 computations (29.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	189	398
1	189	398

regimes216.0ms (6.3%)

Compiler: Compiled 524 to 544 computations (-3.8% saved)

bsearch36.0ms (1.1%)

Steps

Iters	Range		Point
10	9.28120070811925e-10	54658.4231262397	1.168008803591736
10	-2293687748.3617687	-2.111787295649248e-06	-1.1596556562901081

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes64.0ms (1.9%)

Compiler: Compiled 30 to 50 computations (-66.7% saved)

bsearch33.0ms (0.9%)

Steps

Iters	Range		Point
10	9.28120070811925e-10	54658.4231262397	0.9947955736269323
10	-2293687748.3617687	-2.111787295649248e-06	-1.0132858412942405

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes55.0ms (1.6%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch44.0ms (1.3%)

Steps

Iters	Range		Point
9	-4.432869135124392e-308	4.921906893008114e-300	2.79286879929623e-310

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.4%)

Accuracy

Total 0.2b remaining (92.3%)

Threshold costs 0.2b (92.3%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 37 to 35 computations (5.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	51
1	65	51

end0.0ms (0%)

sample1.4s (39.5%)

Algorithm

1×

intervals

Results

412.0ms	2018×	body	1024	valid
152.0ms	4295×	body	128	valid
125.0ms	1009×	body	512	valid
54.0ms	217×	body	2048	valid
36.0ms	461×	body	256	valid

Compiler

Compiled 308 to 317 computations (-2.9% saved)

Pareto

0.3577670073900637

Details

analyze2.0ms (0.1%)

sample31.0ms (0.9%)

simplify171.0ms (5%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite25.0ms (0.7%)

series104.0ms (3%)

simplify80.0ms (2.3%)

prune117.0ms (3.4%)

localize12.0ms (0.4%)

rewrite75.0ms (2.2%)

series367.0ms (10.6%)

simplify98.0ms (2.8%)

prune335.0ms (9.7%)

localize4.0ms (0.1%)

rewrite9.0ms (0.3%)

series33.0ms (1%)

simplify109.0ms (3.1%)

prune28.0ms (0.8%)

simplify9.0ms (0.3%)

regimes216.0ms (6.3%)

bsearch36.0ms (1.1%)

regimes64.0ms (1.9%)

bsearch33.0ms (0.9%)

regimes55.0ms (1.6%)

bsearch44.0ms (1.3%)

regimes15.0ms (0.4%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (39.5%)

Profiling