Details

Time bar (total: 10.0min)

analyze9.5s (1.6%)

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)

sample25.5s (4.3%)

Algorithm
intervals
Results
22.4s469×body8192exit
1.1s363×body1024overflowed
908.0ms2311×body128overflowed
356.0ms202×body512overflowed
194.0ms3706×pre128true
88.0ms105×body256overflowed
68.0ms246×body128valid
40.0msbody4096valid
33.0msbody8192valid
15.0msbody1024valid
3.0msbody512valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify464.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (229.0ms)

IterNodesCost
0503668

prune16.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.5b

Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize84.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.7b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
4.2b
(/.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)))

rewrite643.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_3185
692×pow-exp_binary64_3215
684×prod-exp_binary64_3196
593×div-exp_binary64_3198
344×pow-to-exp_binary64_3216
116×1-exp_binary64_3191 rec-exp_binary64_3197
56×*-un-lft-identity_binary64_3147
41×times-frac_binary64_3153 add-sqr-sqrt_binary64_3169
36×unpow-prod-down_binary64_3226
30×add-cube-cbrt_binary64_3182
18×cancel-sign-sub-inv_binary64_3113
16×add-cbrt-cube_binary64_3183
distribute-lft-out_binary64_3098
pow1_binary64_3208
difference-of-squares_binary64_3116 pow-unpow_binary64_3224 add-log-exp_binary64_3186 associate-/r/_binary64_3093 pow-pow_binary64_3219
div-inv_binary64_3144
cbrt-undiv_binary64_3181 cbrt-unprod_binary64_3180
flip-+_binary64_3121 flip3-+_binary64_3150
inv-pow_binary64_3232 sqr-pow_binary64_3119 distribute-lft-out--_binary64_3099 pow-flip_binary64_3221
flip--_binary64_3122 clear-num_binary64_3146 flip3--_binary64_3151 frac-2neg_binary64_3158 associate-/r*_binary64_3091 sub-neg_binary64_3140 diff-log_binary64_3239 associate-/l*_binary64_3092
Counts
4 → 489
Calls

4 calls:

193.0ms
(/.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)))
46.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
30.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
26.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series2.4s (0.4%)

Counts
4 → 12
Calls

4 calls:

2.0s
(/.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)))
180.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
112.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
56.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify530.0ms (0.1%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0503827612

prune7.0s (1.2%)

Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New46437501
Fresh000
Picked011
Done000
Total46438502

Merged error: 0.0b

Counts
502 → 38
Compiler

Compiled 23652 to 15325 computations (35.2% saved)

localize58.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
9.6b
(-.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)))))))
9.6b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite236.0ms (0%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_3147
38×add-sqr-sqrt_binary64_3169 log-prod_binary64_3233
16×pow1_binary64_3208
15×associate--l+_binary64_3084 associate--r+_binary64_3083
14×difference-of-squares_binary64_3116
12×distribute-lft-out--_binary64_3099 add-cube-cbrt_binary64_3182 log-pow_binary64_3236 log-div_binary64_3234
times-frac_binary64_3153 cancel-sign-sub-inv_binary64_3113
add-exp-log_binary64_3185
flip--_binary64_3122 flip-+_binary64_3121 add-cbrt-cube_binary64_3183 flip3--_binary64_3151 flip3-+_binary64_3150 distribute-lft-out_binary64_3098 associate--r-_binary64_3086 add-log-exp_binary64_3186 associate--l-_binary64_3085
rem-log-exp_binary64_3188 sub-neg_binary64_3140 diff-log_binary64_3239 div-inv_binary64_3144
Counts
4 → 108
Calls

4 calls:

126.0ms
(-.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)))))))
42.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
17.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
16.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series1.1s (0.2%)

Counts
4 → 12
Calls

4 calls:

476.0ms
(-.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)))))))
289.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
181.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
169.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify362.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (256.0ms)

IterNodesCost
052283205

prune3.1s (0.5%)

Pruning

62 alts after pruning (60 fresh and 2 done)

PrunedKeptTotal
New8832120
Fresh82836
Picked011
Done011
Total9662158

Merged error: 0b

Counts
158 → 62
Compiler

Compiled 9241 to 6556 computations (29.1% saved)

localize54.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 c_n (-.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))))))))
0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.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)))))))))
9.6b
(-.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)))))))

rewrite422.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt_binary64_3169
95×*-un-lft-identity_binary64_3147
66×log-prod_binary64_3233
55×associate--l+_binary64_3084
44×difference-of-squares_binary64_3116
40×times-frac_binary64_3153
38×cancel-sign-sub-inv_binary64_3113
37×distribute-lft-in_binary64_3096 distribute-rgt-in_binary64_3097
36×associate-+r+_binary64_3079
25×add-cube-cbrt_binary64_3182
22×distribute-lft-out--_binary64_3099
19×pow1_binary64_3208
13×log-pow_binary64_3236
12×log-div_binary64_3234
11×flip--_binary64_3122 flip3--_binary64_3151 associate--r+_binary64_3083
10×associate--r-_binary64_3086 associate-*r/_binary64_3089
associate-*r*_binary64_3087 add-log-exp_binary64_3186 div-inv_binary64_3144
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 sub-neg_binary64_3140
frac-add_binary64_3155 flip-+_binary64_3121 flip3-+_binary64_3150
distribute-lft-out_binary64_3098 associate-*l*_binary64_3088
associate-+l+_binary64_3080 diff-log_binary64_3239 associate--l-_binary64_3085 associate-/r/_binary64_3093
*-commutative_binary64_3078 unswap-sqr_binary64_3115 pow-prod-down_binary64_3218 +-commutative_binary64_3077 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 sum-log_binary64_3238
Counts
4 → 197
Calls

4 calls:

101.0ms
(*.f64 c_n (-.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))))))))
77.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (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)))))))))
57.0ms
(-.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)))))))
53.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

series1.2s (0.2%)

Counts
4 → 12
Calls

4 calls:

470.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (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)))))))))
408.0ms
(*.f64 c_n (-.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))))))))
285.0ms
(-.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)))))))
56.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify318.0ms (0.1%)

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 0 (158.0ms)

IterNodesCost
049529187
149529187

prune10.0s (1.7%)

Pruning

92 alts after pruning (90 fresh and 2 done)

PrunedKeptTotal
New16445209
Fresh144559
Picked011
Done112
Total17992271

Merged error: 0b

Counts
271 → 92
Compiler

Compiled 16649 to 12413 computations (25.4% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1/2 (-.f64 t s)) (*.f64 -1/8 (*.f64 s s)))
0.0b
(*.f64 s (+.f64 (*.f64 s 1/8) -1/2))
0.0b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.7b
(*.f64 c_n (+.f64 (*.f64 1/2 (-.f64 t s)) (*.f64 -1/8 (*.f64 s s))))

rewrite90.0ms (0%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_3169
16×associate-*l*_binary64_3088
14×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
10×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 pow1_binary64_3208
associate-*r*_binary64_3087
associate-+l+_binary64_3080
distribute-lft-in_binary64_3096 distribute-rgt-in_binary64_3097
cancel-sign-sub-inv_binary64_3113 add-log-exp_binary64_3186 associate-*r/_binary64_3089
flip-+_binary64_3121 flip3-+_binary64_3150
*-commutative_binary64_3078 unswap-sqr_binary64_3115 pow-prod-down_binary64_3218 distribute-lft-neg-in_binary64_3104 prod-exp_binary64_3196 distribute-rgt-neg-in_binary64_3105 cbrt-unprod_binary64_3180
sub-neg_binary64_3140
neg-mul-1_binary64_3143 +-commutative_binary64_3077 distribute-lft-neg-out_binary64_3106 sum-log_binary64_3238
Counts
4 → 93
Calls

4 calls:

21.0ms
(*.f64 c_n (+.f64 (*.f64 1/2 (-.f64 t s)) (*.f64 -1/8 (*.f64 s s))))
20.0ms
(+.f64 (*.f64 1/2 (-.f64 t s)) (*.f64 -1/8 (*.f64 s s)))
15.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
14.0ms
(*.f64 s (+.f64 (*.f64 s 1/8) -1/2))

series829.0ms (0.1%)

Counts
4 → 12
Calls

4 calls:

282.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
250.0ms
(*.f64 c_n (+.f64 (*.f64 1/2 (-.f64 t s)) (*.f64 -1/8 (*.f64 s s))))
173.0ms
(*.f64 s (+.f64 (*.f64 s 1/8) -1/2))
123.0ms
(+.f64 (*.f64 1/2 (-.f64 t s)) (*.f64 -1/8 (*.f64 s s)))

simplify454.0ms (0.1%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (341.0ms)

IterNodesCost
049651960
149651960

prune6.2s (1%)

Pruning

116 alts after pruning (113 fresh and 3 done)

PrunedKeptTotal
New7926105
Fresh28789
Picked011
Done022
Total81116197

Merged error: 0b

Counts
197 → 116
Compiler

Compiled 3668 to 2211 computations (39.7% saved)

regimes39.1s (6.5%)

Compiler

Compiled 284570 to 234817 computations (17.5% saved)

bsearch4.2min (41.7%)

simplify34.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
012933
112933

end0.0ms (0%)

sample4.0min (40%)

Algorithm
intervals
Results
3.5min4903×body8192exit
10.8s3811×body1024overflowed
8.1s22471×body128overflowed
3.0s1984×body512overflowed
1.8s36846×pre128true
843.0ms1026×body256overflowed
632.0ms2589×body128valid
236.0msbody8192valid
82.0msbody4096valid
71.0ms23×body1024valid
22.0ms17×body512valid
17.0msbody2048valid
3.0msbody256valid
1.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

Loading profile data...