Details

analyze4.4s (11.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

sample5.2s (13.6%)

Algorithm

1×

intervals

Results

3.3s	474×	body	5120	exit
749.0ms	282×	body	1280	overflowed
439.0ms	2157×	body	80	overflowed
327.0ms	238×	body	640	overflowed
102.0ms	122×	body	320	overflowed
92.0ms	3593×	pre	80	true
30.0ms	241×	body	80	valid
28.0ms	63×	body	160	overflowed
7.0ms	1×	body	5120	valid
6.0ms	2×	body	1280	valid
3.0ms	1×	body	2560	valid
3.0ms	8×	body	160	valid
1.0ms	2×	body	320	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	80	invalid

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5092	43

prune9.0ms (0%)

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

Merged error: 7.3b

Counts

2 → 1

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
0.5b	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p)
1.5b	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p)
4.1b	(/.f64 (.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))) c_n)))

rewrite94.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

556×	`add-exp-log_binary64`
312×	`prod-exp_binary64`
264×	`pow-exp_binary64`
249×	`div-exp_binary64`
184×	`pow-to-exp_binary64`
36×	`*-un-lft-identity_binary64` `unpow-prod-down_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
3×	`div-inv_binary64`
2×	`flip3-+_binary64` `pow-pow_binary64` `sqr-pow_binary64` `difference-of-squares_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 266

Calls

4 calls:

48.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))) c_n)))
11.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
8.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p)
8.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p)

series297.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

252.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))) c_n)))
18.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p)
18.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p)
9.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5003	9443

prune830.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	3	279

Merged error: 0.3b

Counts

279 → 3

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 s 0.5) (-.f64 c_p c_n))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 s 0.5) (-.f64 c_p c_n))

series11.0ms (0%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(*.f64 (*.f64 s 0.5) (-.f64 c_p c_n))

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5017	220

prune37.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.3b

Counts

30 → 3

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
1.7b	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
7.5b	(-.f64 (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))))
7.6b	(-.f64 (log.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))))

rewrite61.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`log-prod_binary64`
74×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
50×	`times-frac_binary64`
38×	`add-cube-cbrt_binary64`
24×	`associate--r+_binary64` `associate--l+_binary64`
14×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
10×	`log-pow_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r/_binary64` `log-div_binary64`
6×	`difference-of-squares_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64`
3×	`associate--l-_binary64` `associate--r-_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `div-exp_binary64`

Counts

4 → 144

Calls

4 calls:

25.0ms	(-.f64 (log.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))))
16.0ms	(-.f64 (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))))
6.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
6.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))

series100.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(-.f64 (log.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))))
26.0ms	(-.f64 (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))))
20.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
18.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4963	2785
1	4963	2785

prune440.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	156	3	159

Merged error: 0.2b

Counts

159 → 3

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 c_n (-.f64 (.f64 t 0.5) (.f64 s (+.f64 0.5 (.f64 s 0.125)))))
0.7b	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
1.7b	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
7.5b	(-.f64 (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))))

rewrite41.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`log-prod_binary64`
66×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
42×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
18×	`associate--r+_binary64` `associate--l+_binary64`
12×	`pow1_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64`
8×	`associate-/r/_binary64`
6×	`log-pow_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `log-div_binary64` `flip-+_binary64`
3×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate--r-_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

4 calls:

16.0ms	(-.f64 (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))))
7.0ms	(.f64 c_n (-.f64 (.f64 t 0.5) (.f64 s (+.f64 0.5 (.f64 s 0.125)))))
7.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
6.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))

series87.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(-.f64 (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) (log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))))
23.0ms	(.f64 c_n (-.f64 (.f64 t 0.5) (.f64 s (+.f64 0.5 (.f64 s 0.125)))))
18.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
18.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5100	2270

prune297.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Merged error: 0.2b

Counts

149 → 3

regimes368.0ms (1%)

bsearch2.3s (5.9%)

Steps

Iters	Range		Point
8	-489.62679574921134	-0.28629909339653153	-13.072407951153217

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	57
1	90	57

end0.0ms (0%)

sample23.6s (61.2%)

Algorithm

1×

intervals

Results

15.2s	2307×	body	5120	exit
3.3s	1313×	body	1280	overflowed
1.9s	10053×	body	80	overflowed
1.5s	1146×	body	640	overflowed
432.0ms	570×	body	320	overflowed
382.0ms	16865×	pre	80	true
136.0ms	1137×	body	80	valid
121.0ms	295×	body	160	overflowed
18.0ms	8×	body	1280	valid
14.0ms	2×	body	5120	valid
7.0ms	22×	body	160	valid
5.0ms	4×	body	640	valid
3.0ms	5×	body	320	valid
3.0ms	1×	body	2560	valid
0.0ms	2×	body	80	invalid

Details

analyze4.4s (11.3%)

sample5.2s (13.6%)

simplify56.0ms (0.1%)

prune9.0ms (0%)

localize21.0ms (0.1%)

rewrite94.0ms (0.2%)

series297.0ms (0.8%)

simplify87.0ms (0.2%)

prune830.0ms (2.2%)

localize6.0ms (0%)

rewrite9.0ms (0%)

series11.0ms (0%)

simplify41.0ms (0.1%)

prune37.0ms (0.1%)

localize26.0ms (0.1%)

rewrite61.0ms (0.2%)

series100.0ms (0.3%)

simplify63.0ms (0.2%)

prune440.0ms (1.1%)

localize25.0ms (0.1%)

rewrite41.0ms (0.1%)

series87.0ms (0.2%)

simplify64.0ms (0.2%)

prune297.0ms (0.8%)

regimes368.0ms (1%)

bsearch2.3s (5.9%)

simplify2.0ms (0%)

end0.0ms (0%)

sample23.6s (61.2%)

Profiling