Details

analyze183.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13
0	1	1
1	1	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)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify94.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_1783`
15×	`times-frac_binary64_1789`
11×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
5×	`associate-/r*_binary64_1727`
4×	`cosh-undef_binary64_1977` `distribute-lft-out_binary64_1734`
3×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728`
2×	`associate-/r/_binary64_1729`
1×	`pow1_binary64_1844` `div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

1 → 37

Calls

1 calls:

7.0ms

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

Compiler

Compiled 612 to 252 computations (58.8% saved)

series54.0ms (1.9%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

49.0ms

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

Compiler

Compiled 131 to 115 computations (12.2% saved)

simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4876	778
1	4876	778

prune39.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 636 to 282 computations (55.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite122.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`*-un-lft-identity_binary64_1783`
45×	`times-frac_binary64_1789`
42×	`exp-prod_binary64_1835`
32×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
22×	`log-pow_binary64_1872`
10×	`cosh-undef_binary64_1977` `distribute-lft-out_binary64_1734`
6×	`associate-/r/_binary64_1729`
5×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/r*_binary64_1727`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
3×	`div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `log-prod_binary64_1869` `associate-/l*_binary64_1728`
1×	`rem-log-exp_binary64_1824` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `rem-exp-log_binary64_1823`

Counts

3 → 99

Calls

3 calls:

9.0ms	(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
8.0ms	(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 1927 to 897 computations (53.5% saved)

series280.0ms (10%)

Error

Counts

3 → 18

Calls

3 calls:

148.0ms	(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
65.0ms	(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
53.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 477 to 404 computations (15.3% saved)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4907	1913
1	4907	1913

prune98.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Compiler

Compiled 1923 to 896 computations (53.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 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))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite325.0ms (11.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`*-un-lft-identity_binary64_1783`
61×	`times-frac_binary64_1789`
48×	`add-sqr-sqrt_binary64_1805`
44×	`add-cube-cbrt_binary64_1818`
24×	`associate-r_binary64_1723`
23×	`pow1_binary64_1844` `cbrt-prod_binary64_1814`
15×	`add-exp-log_binary64_1821` `cosh-undef_binary64_1977` `distribute-lft-out_binary64_1734` `associate-/r*_binary64_1727`
12×	`cbrt-div_binary64_1815`
11×	`add-cbrt-cube_binary64_1819`
9×	`pow1/3_binary64_1865` `pow-prod-up_binary64_1853` `associate-/l*_binary64_1728`
8×	`associate-/r/_binary64_1729`
6×	`pow-plus_binary64_1846`
5×	`pow-prod-down_binary64_1854` `frac-times_binary64_1793` `associate-*l/_binary64_1726`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`
3×	`pow-sqr_binary64_1756` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725` `unswap-sqr_binary64_1751` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`pow2_binary64_1864`
1×	`pow3_binary64_1866` `rem-3cbrt-lft_binary64_1808` `associate-l_binary64_1724` `*-commutative_binary64_1714`

Counts

4 → 173

Calls

4 calls:

36.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 6324 to 2622 computations (58.5% saved)

series326.0ms (11.6%)

Error

Counts

4 → 24

Calls

4 calls:

118.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
62.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
61.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
55.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 1524 to 1007 computations (33.9% saved)

simplify114.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4904	3679
1	4904	3679

prune254.0ms (9.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	197	3	200

Error

Counts

200 → 3

Compiler

Compiled 5863 to 2589 computations (55.8% saved)

regimes73.0ms (2.6%)

Accuracy

Total 0.0b remaining (55.9%)

Threshold costs 0.0b (55.9%)

Compiler

Compiled 537 to 424 computations (21% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end0.0ms (0%)

sample606.0ms (21.6%)

Algorithm

1×

intervals

Results

231.0ms

8000×

body

128

valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

Details

analyze183.0ms (6.5%)

sample14.0ms (0.5%)

simplify94.0ms (3.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite45.0ms (1.6%)

series54.0ms (1.9%)

simplify56.0ms (2%)

prune39.0ms (1.4%)

localize8.0ms (0.3%)

rewrite122.0ms (4.4%)

series280.0ms (10%)

simplify91.0ms (3.2%)

prune98.0ms (3.5%)

localize9.0ms (0.3%)

rewrite325.0ms (11.6%)

series326.0ms (11.6%)

simplify114.0ms (4.1%)

prune254.0ms (9.1%)

regimes73.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample606.0ms (21.6%)

Profiling