Details

analyze3.3s (10.7%)

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
3.1%	21.8%	75%	8
3.1%	21.8%	75%	9
3.1%	21.8%	75%	10
3.1%	21.8%	75%	11
3.1%	21.8%	75%	12
3.1%	21.8%	75%	13
3.1%	21.8%	75%	14

Compiler

Compiled 50 to 40 computations (20% saved)

sample11.1s (35.5%)

Algorithm

1×

intervals

Results

9.8s	433×	body	8192	exit
471.0ms	311×	body	1024	overflowed
370.0ms	1949×	body	128	overflowed
128.0ms	153×	body	512	overflowed
85.0ms	3193×	pre	128	true
45.0ms	90×	body	256	overflowed
31.0ms	249×	body	128	valid
7.0ms	4×	body	1024	valid
1.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5036	68

prune4.0ms (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: 6.5b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.9b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
3.9b	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite174.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_6595`
692×	`pow-exp_binary64_6625`
684×	`prod-exp_binary64_6606`
593×	`div-exp_binary64_6608`
344×	`pow-to-exp_binary64_6626`
116×	`rec-exp_binary64_6607` `1-exp_binary64_6601`
56×	`*-un-lft-identity_binary64_6557`
41×	`add-sqr-sqrt_binary64_6579` `times-frac_binary64_6563`
36×	`unpow-prod-down_binary64_6636`
30×	`add-cube-cbrt_binary64_6592`
18×	`cancel-sign-sub-inv_binary64_6523`
16×	`add-cbrt-cube_binary64_6593`
9×	`distribute-lft-out_binary64_6508`
8×	`pow1_binary64_6618`
6×	`pow-pow_binary64_6629` `difference-of-squares_binary64_6526` `add-log-exp_binary64_6596` `associate-/r/_binary64_6503` `pow-unpow_binary64_6634`
5×	`div-inv_binary64_6554`
4×	`cbrt-undiv_binary64_6591` `cbrt-unprod_binary64_6590`
3×	`flip-+_binary64_6531` `flip3-+_binary64_6560`
2×	`sqr-pow_binary64_6529` `distribute-lft-out--_binary64_6509` `inv-pow_binary64_6642` `pow-flip_binary64_6631`
1×	`flip--_binary64_6532` `associate-/r_binary64_6501` `sub-neg_binary64_6550` `diff-log_binary64_6649` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `flip3--_binary64_6561` `associate-/l_binary64_6502`

Counts

4 → 489

Calls

4 calls:

49.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
11.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
7.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
7.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series922.0ms (3%)

Counts

4 → 12

Calls

4 calls:

785.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
55.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
54.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
28.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify244.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5038	27612

prune1.5s (4.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	498	3	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	499	3	502

Merged error: 0b

Counts

502 → 3

Compiler

Compiled 21730 to 13822 computations (36.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
2.3b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
9.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
9.1b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite61.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_6557`
38×	`log-prod_binary64_6643` `add-sqr-sqrt_binary64_6579`
16×	`pow1_binary64_6618`
15×	`associate--r+_binary64_6493` `associate--l+_binary64_6494`
14×	`difference-of-squares_binary64_6526`
12×	`log-div_binary64_6644` `add-cube-cbrt_binary64_6592` `distribute-lft-out--_binary64_6509` `log-pow_binary64_6646`
8×	`times-frac_binary64_6563` `cancel-sign-sub-inv_binary64_6523`
6×	`add-exp-log_binary64_6595`
4×	`flip-+_binary64_6531` `add-cbrt-cube_binary64_6593` `flip--_binary64_6532` `distribute-lft-out_binary64_6508` `flip3-+_binary64_6560` `associate--l-_binary64_6495` `add-log-exp_binary64_6596` `associate--r-_binary64_6496` `flip3--_binary64_6561`
2×	`rem-log-exp_binary64_6598` `sub-neg_binary64_6550` `div-inv_binary64_6554` `diff-log_binary64_6649`

Counts

4 → 108

Calls

4 calls:

27.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series275.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
63.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
44.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
44.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5228	3205

prune299.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	122	1	123

Merged error: 0b

Counts

123 → 1

Compiler

Compiled 5916 to 3889 computations (34.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.3b	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))
9.1b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite79.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
40×	`times-frac_binary64_6563` `cancel-sign-sub-inv_binary64_6523`
27×	`add-cube-cbrt_binary64_6592`
25×	`difference-of-squares_binary64_6526`
22×	`log-prod_binary64_6643`
12×	`distribute-lft-out--_binary64_6509`
11×	`pow1_binary64_6618` `associate--r+_binary64_6493` `associate--l+_binary64_6494`
10×	`associate-l_binary64_6498`
8×	`add-log-exp_binary64_6596`
6×	`add-cbrt-cube_binary64_6593` `distribute-lft-out_binary64_6508` `add-exp-log_binary64_6595` `div-inv_binary64_6554`
5×	`flip--_binary64_6532` `log-pow_binary64_6646` `flip3--_binary64_6561`
4×	`log-div_binary64_6644` `associate-/r/_binary64_6503`
3×	`flip-+_binary64_6531` `associate-r_binary64_6497` `sub-neg_binary64_6550` `distribute-lft-neg-in_binary64_6514` `flip3-+_binary64_6560` `diff-log_binary64_6649` `distribute-rgt-neg-in_binary64_6515`
2×	`associate-*r/_binary64_6499` `associate--l-_binary64_6495` `associate--r-_binary64_6496`
1×	`*-commutative_binary64_6488` `distribute-lft-in_binary64_6506` `pow-prod-down_binary64_6628` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `distribute-rgt-in_binary64_6507` `distribute-lft-neg-out_binary64_6516` `neg-mul-1_binary64_6553` `cbrt-unprod_binary64_6590`

Counts

4 → 150

Calls

4 calls:

27.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
7.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))

series236.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
58.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))
29.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
26.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5695	4173

prune384.0ms (1.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	1	163

Merged error: 0b

Counts

163 → 1

Compiler

Compiled 7522 to 5306 computations (29.5% saved)

regimes397.0ms (1.3%)

Compiler: Compiled 5354 to 4808 computations (10.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	224	60
1	224	60

end0.0ms (0%)

sample11.8s (37.9%)

Algorithm

1×

intervals

Results

10.5s	475×	body	8192	exit
514.0ms	348×	body	1024	overflowed
395.0ms	2110×	body	128	overflowed
138.0ms	172×	body	512	overflowed
84.0ms	3477×	pre	128	true
42.0ms	98×	body	256	overflowed
32.0ms	266×	body	128	valid
7.0ms	4×	body	1024	valid
1.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze3.3s (10.7%)

sample11.1s (35.5%)

simplify147.0ms (0.5%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite174.0ms (0.6%)

series922.0ms (3%)

simplify244.0ms (0.8%)

prune1.5s (4.9%)

localize27.0ms (0.1%)

rewrite61.0ms (0.2%)

series275.0ms (0.9%)

simplify74.0ms (0.2%)

prune299.0ms (1%)

localize27.0ms (0.1%)

rewrite79.0ms (0.3%)

series236.0ms (0.8%)

simplify65.0ms (0.2%)

prune384.0ms (1.2%)

regimes397.0ms (1.3%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample11.8s (37.9%)

end0.0ms (0%)

Profiling