Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample26.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify206.0ms (10.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13

prune2.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1783`
15×	`times-frac_binary64_1789`
11×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
5×	`associate-/r*_binary64_1727`
4×	`distribute-lft-out_binary64_1734` `cosh-undef_binary64_1977`
3×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
2×	`associate-/r/_binary64_1729`
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

2 calls:

8.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series65.0ms (3.2%)

Counts

1 → 6

Calls

1 calls:

65.0ms

(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 74 to 68 computations (8.1% saved)

simplify68.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4876	778
1	4876	778

prune44.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 608 to 267 computations (56.1% saved)

localize9.0ms (0.5%)

Local error

Found 6 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
0.0b	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))

rewrite45.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`*-un-lft-identity_binary64_1783`
75×	`times-frac_binary64_1789`
51×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
48×	`cbrt-prod_binary64_1814`
42×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
16×	`distribute-lft-out_binary64_1734` `cosh-undef_binary64_1977`
10×	`associate-/r/_binary64_1729`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
5×	`flip-+_binary64_1757` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `flip3-+_binary64_1786`
4×	`pow1_binary64_1844`
3×	`associate-/l*_binary64_1728` `pow-unpow_binary64_1860` `add-log-exp_binary64_1822`
2×	`sqr-pow_binary64_1755` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `unpow3_binary64_1849` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `cube-div_binary64_1812` `pow-exp_binary64_1851`
1×	`rem-cbrt-cube_binary64_1807` `cbrt-div_binary64_1815` `frac-2neg_binary64_1794` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `clear-num_binary64_1782` `pow-to-exp_binary64_1852`

Counts

3 → 157

Calls

6 calls:

12.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
10.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
8.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)

series263.0ms (12.9%)

Counts

3 → 18

Calls

3 calls:

114.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
79.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
69.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))

Compiler

Compiled 262 to 244 computations (6.9% saved)

simplify126.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5058	3510

prune165.0ms (8.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Error

Counts

177 → 2

Compiler

Compiled 2760 to 1416 computations (48.7% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	72
1	30	72

regimes52.0ms (2.5%)

Accuracy

Total 0.1b remaining (89.8%)

Threshold costs 0.1b (89.8%)

Compiler

Compiled 174 to 173 computations (0.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	18
1	19	18

end0.0ms (0%)

sample932.0ms (45.9%)

Algorithm

1×

intervals

Results

308.0ms

8000×

body

128

valid

Compiler

Compiled 153 to 156 computations (-2% saved)

Pareto

0.7481605911076464

Details

analyze3.0ms (0.1%)

sample26.0ms (1.3%)

simplify206.0ms (10.2%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite11.0ms (0.5%)

series65.0ms (3.2%)

simplify68.0ms (3.3%)

prune44.0ms (2.2%)

localize9.0ms (0.5%)

rewrite45.0ms (2.2%)

series263.0ms (12.9%)

simplify126.0ms (6.2%)

prune165.0ms (8.1%)

simplify6.0ms (0.3%)

regimes52.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample932.0ms (45.9%)

Profiling