Details

Time bar (total: 1.9min)

analyze3.4s (3%)

Algorithm
search
Search
TrueOtherFalseIter
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)

sample12.3s (10.9%)

Algorithm
intervals
Results
10.9s485×body8192exit
567.0ms369×body1024overflowed
405.0ms2107×body128overflowed
157.0ms189×body512overflowed
89.0ms3497×pre128true
38.0ms91×body256overflowed
31.0ms251×body128valid
8.0msbody4096valid
2.0msbody1024valid
2.0msbody512valid
0.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify145.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0503668

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.5b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
5.7b
(/.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)))

rewrite164.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_6254
692×pow-exp_binary64_6284
684×prod-exp_binary64_6265
593×div-exp_binary64_6267
344×pow-to-exp_binary64_6285
116×rec-exp_binary64_6266 1-exp_binary64_6260
56×*-un-lft-identity_binary64_6216
41×times-frac_binary64_6222 add-sqr-sqrt_binary64_6238
36×unpow-prod-down_binary64_6295
30×add-cube-cbrt_binary64_6251
18×cancel-sign-sub-inv_binary64_6182
16×add-cbrt-cube_binary64_6252
distribute-lft-out_binary64_6167
pow1_binary64_6277
difference-of-squares_binary64_6185 associate-/r/_binary64_6162 pow-pow_binary64_6288 add-log-exp_binary64_6255 pow-unpow_binary64_6293
div-inv_binary64_6213
cbrt-undiv_binary64_6250 cbrt-unprod_binary64_6249
flip-+_binary64_6190 flip3-+_binary64_6219
sqr-pow_binary64_6188 pow-flip_binary64_6290 distribute-lft-out--_binary64_6168 inv-pow_binary64_6301
associate-/r*_binary64_6160 clear-num_binary64_6215 flip3--_binary64_6220 diff-log_binary64_6308 frac-2neg_binary64_6227 associate-/l*_binary64_6161 sub-neg_binary64_6209 flip--_binary64_6191
Counts
4 → 489
Calls

4 calls:

45.0ms
(/.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 t)))))
10.0ms
(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)

series928.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

787.0ms
(/.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)))
56.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
55.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
29.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify243.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0503827612

prune1.5s (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4965501
Fresh000
Picked101
Done000
Total4975502

Merged error: 0.0b

Counts
502 → 5
Compiler

Compiled 21830 to 13903 computations (36.3% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
10.4b
(-.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)))))))
10.5b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite59.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_6216
38×log-prod_binary64_6302 add-sqr-sqrt_binary64_6238
16×pow1_binary64_6277
15×associate--r+_binary64_6152 associate--l+_binary64_6153
14×difference-of-squares_binary64_6185
12×add-cube-cbrt_binary64_6251 log-div_binary64_6303 distribute-lft-out--_binary64_6168 log-pow_binary64_6305
cancel-sign-sub-inv_binary64_6182 times-frac_binary64_6222
add-exp-log_binary64_6254
associate--l-_binary64_6154 distribute-lft-out_binary64_6167 flip3--_binary64_6220 flip-+_binary64_6190 associate--r-_binary64_6155 flip--_binary64_6191 add-cbrt-cube_binary64_6252 flip3-+_binary64_6219 add-log-exp_binary64_6255
div-inv_binary64_6213 rem-log-exp_binary64_6257 diff-log_binary64_6308 sub-neg_binary64_6209
Counts
4 → 108
Calls

4 calls:

25.0ms
(-.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)))))))
13.0ms
(-.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))))

series267.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

110.0ms
(-.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)))))))
68.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
47.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
41.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify74.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
052283205

prune307.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1173120
Fresh404
Picked101
Done000
Total1223125

Merged error: 0.0b

Counts
125 → 3
Compiler

Compiled 5997 to 3958 computations (34% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
10.4b
(-.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)))))))

rewrite75.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt_binary64_6238
62×*-un-lft-identity_binary64_6216
33×log-prod_binary64_6302
28×times-frac_binary64_6222
25×difference-of-squares_binary64_6185
22×cancel-sign-sub-inv_binary64_6182
20×add-cube-cbrt_binary64_6251
12×distribute-lft-out--_binary64_6168 pow1_binary64_6277
11×associate--r+_binary64_6152 associate--l+_binary64_6153
10×associate-*l*_binary64_6157
add-exp-log_binary64_6254
log-div_binary64_6303 add-cbrt-cube_binary64_6252 add-log-exp_binary64_6255 log-pow_binary64_6305
div-inv_binary64_6213 flip3--_binary64_6220 flip--_binary64_6191
associate-*r*_binary64_6156 distribute-rgt-neg-in_binary64_6174 distribute-lft-out_binary64_6167 distribute-lft-neg-in_binary64_6173
associate--l-_binary64_6154 associate-/r/_binary64_6162 flip-+_binary64_6190 diff-log_binary64_6308 associate-*r/_binary64_6158 associate--r-_binary64_6155 sub-neg_binary64_6209 flip3-+_binary64_6219
distribute-lft-neg-out_binary64_6175 neg-mul-1_binary64_6212 rem-log-exp_binary64_6257 distribute-rgt-in_binary64_6166 distribute-lft-in_binary64_6165 unswap-sqr_binary64_6184 prod-exp_binary64_6265 pow-prod-down_binary64_6287 cbrt-unprod_binary64_6249 *-commutative_binary64_6147
Counts
4 → 135
Calls

4 calls:

25.0ms
(-.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 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
10.0ms
(log.f64 (-.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))))

series283.0ms (0.3%)

Counts
4 → 12
Calls

4 calls:

116.0ms
(-.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)))))))
80.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
59.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
28.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify78.0ms (0.1%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050924018

prune572.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1461147
Fresh112
Picked101
Done000
Total1482150

Merged error: 0.0b

Counts
150 → 2
Compiler

Compiled 7000 to 4957 computations (29.2% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
0.0b
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))
0.2b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.9b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))

rewrite39.0ms (0%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_6238
16×associate-*l*_binary64_6157
14×associate-*r/_binary64_6158
12×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251
10×add-cbrt-cube_binary64_6252 pow1_binary64_6277 add-exp-log_binary64_6254
associate-*r*_binary64_6156
distribute-rgt-in_binary64_6166 distribute-lft-in_binary64_6165
add-log-exp_binary64_6255
flip-+_binary64_6190 flip3-+_binary64_6219
associate-+r+_binary64_6148 cancel-sign-sub-inv_binary64_6182 sub-neg_binary64_6209 frac-add_binary64_6224
distribute-rgt-neg-in_binary64_6174 flip3--_binary64_6220 unswap-sqr_binary64_6184 prod-exp_binary64_6265 pow-prod-down_binary64_6287 distribute-lft-neg-in_binary64_6173 cbrt-unprod_binary64_6249 flip--_binary64_6191 *-commutative_binary64_6147
associate-+l+_binary64_6149
distribute-lft-neg-out_binary64_6175 neg-mul-1_binary64_6212 +-commutative_binary64_6146 sum-log_binary64_6307
Counts
4 → 97
Calls

4 calls:

9.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
7.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
6.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
5.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

series290.0ms (0.3%)

Counts
4 → 12
Calls

4 calls:

142.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
58.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
57.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
34.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

simplify61.0ms (0.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051423203

prune196.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done000
Total1092111

Merged error: 0.0b

Counts
111 → 2
Compiler

Compiled 4243 to 3004 computations (29.2% saved)

regimes688.0ms (0.6%)

Compiler

Compiled 10399 to 9035 computations (13.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012933
112933

end0.0ms (0%)

sample1.5min (80.7%)

Algorithm
intervals
Results
1.3min3604×body8192exit
4.1s2733×body1024overflowed
3.1s16839×body128overflowed
1.2s1500×body512overflowed
659.0ms27434×pre128true
307.0ms722×body256overflowed
244.0ms1990×body128valid
142.0msbody8192valid
33.0msbody4096valid
26.0ms16×body1024valid
6.0msbody2048valid
6.0msbody512valid
2.0msbody256valid
0.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

end0.0ms (0%)

Profiling

Loading profile data...