Details

analyze4.4s

Algorithm

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

sample5.3s

Algorithm

intervals

Results

3.3s	474×	body	5120	exit
758.0ms	282×	body	1280	overflowed
436.0ms	2157×	body	80	overflowed
330.0ms	238×	body	640	overflowed
101.0ms	122×	body	320	overflowed
88.0ms	3593×	pre	80	true
33.0ms	241×	body	80	valid
29.0ms	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

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5092	43

prune6.0ms

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

localize20.0ms

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)))

rewrite92.0ms

Algorithm

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:

13.0ms	(-.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 s)))) c_p)
8.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p)
45.0ms	(/.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)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
18.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p)
20.0ms	(pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p)
240.0ms	(/.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)))

simplify91.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5003	9443

prune184.0ms

Filtered

76 candidates to 278 candidates (-265.8%)

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

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

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

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5017	220

prune29.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

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

localize27.0ms

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)))))))

rewrite62.0ms

Algorithm

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:

6.0ms	(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)))))
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))))))
27.0ms	(-.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)))))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))))
19.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
30.0ms	(-.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))))))
37.0ms	(-.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)))))))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4963	2785
1	4963	2785

prune343.0ms

Filtered

112 candidates to 156 candidates (-39.3%)

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

localize28.0ms

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))))))

rewrite42.0ms

Algorithm

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:

7.0ms	(.f64 c_n (-.f64 (.f64 t 0.5) (.f64 s (+.f64 0.5 (.f64 s 0.125)))))
6.0ms	(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)))))
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))))))

series94.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.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 s)))))
19.0ms	(log.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))))
33.0ms	(-.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))))))

simplify68.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5100	2270

prune215.0ms

Filtered

103 candidates to 146 candidates (-41.7%)

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

regimes404.0ms

bsearch2.4s

Steps

Iters	Range		Point
8	-489.62679574921134	-0.28629909339653153	-13.072407951153217

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	57
1	90	57

end0.0ms

sample23.9s

Algorithm

intervals

Results

15.4s	2307×	body	5120	exit
3.3s	1313×	body	1280	overflowed
1.9s	10053×	body	80	overflowed
1.5s	1146×	body	640	overflowed
443.0ms	570×	body	320	overflowed
385.0ms	16865×	pre	80	true
138.0ms	1137×	body	80	valid
122.0ms	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

sample5.3s

simplify56.0ms

prune6.0ms

localize20.0ms

rewrite92.0ms

series288.0ms

simplify91.0ms

prune184.0ms

localize6.0ms

rewrite9.0ms

series11.0ms

simplify43.0ms

prune29.0ms

localize27.0ms

rewrite62.0ms

series105.0ms

simplify65.0ms

prune343.0ms

localize28.0ms

rewrite42.0ms

series94.0ms

simplify68.0ms

prune215.0ms

regimes404.0ms

bsearch2.4s

simplify2.0ms

end0.0ms

sample23.9s

Profiling