Details

Time bar (total: 43.2s)

analyze3.6s (8.3%)

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)

sample13.4s (31%)

Algorithm
intervals
Results
11.8s507×body8192exit
541.0ms351×body1024overflowed
464.0ms2335×body128overflowed
188.0ms222×body512overflowed
100.0ms3777×pre128true
47.0ms106×body256overflowed
32.0ms250×body128valid
4.0msbody4096valid
2.0msbody512valid
1.0msbody1024valid
1.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify151.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0503668

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.5b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.3b
(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)
1.7b
(/.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)))

rewrite171.0ms (0.4%)

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:

46.0ms
(/.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)))
16.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
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)

series929.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

793.0ms
(/.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 s)))) c_p)
53.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
28.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify245.0ms (0.6%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
0503827612

prune1.5s (3.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4974501
Fresh000
Picked101
Done000
Total4984502
Error
0b
Counts
502 → 4
Compiler

Compiled 21772 to 13856 computations (36.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.5b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.5b
(-.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)))))))
8.5b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite62.0ms (0.1%)

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:

28.0ms
(-.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))))

series276.0ms (0.6%)

Counts
4 → 12
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)))))))
63.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
45.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
42.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify80.0ms (0.2%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052283205

prune310.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh213
Picked101
Done000
Total1213124
Error
0b
Counts
124 → 3
Compiler

Compiled 5989 to 3951 computations (34% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.0b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
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))))))))
8.5b
(-.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)))))))

rewrite87.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt_binary64_3169
66×*-un-lft-identity_binary64_3147
55×log-prod_binary64_3233
33×associate--l+_binary64_3084
32×difference-of-squares_binary64_3116
20×times-frac_binary64_3153 pow1_binary64_3208
19×distribute-lft-in_binary64_3096 distribute-rgt-in_binary64_3097
18×distribute-lft-out--_binary64_3099 add-cube-cbrt_binary64_3182
13×associate-*l*_binary64_3088
12×cancel-sign-sub-inv_binary64_3113 log-pow_binary64_3236
11×associate-*r*_binary64_3087 associate--r+_binary64_3083
10×log-div_binary64_3234
add-exp-log_binary64_3185
add-cbrt-cube_binary64_3183
flip--_binary64_3122 flip3--_binary64_3151
associate--r-_binary64_3086
div-inv_binary64_3144
add-log-exp_binary64_3186 associate-*r/_binary64_3089
sub-neg_binary64_3140 distribute-lft-neg-in_binary64_3104 distribute-rgt-neg-in_binary64_3105
*-commutative_binary64_3078 unswap-sqr_binary64_3115 pow-prod-down_binary64_3218 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 associate--l-_binary64_3085
rem-log-exp_binary64_3188 flip-+_binary64_3121 neg-mul-1_binary64_3143 flip3-+_binary64_3150 distribute-lft-neg-out_binary64_3106 diff-log_binary64_3239
Counts
4 → 159
Calls

4 calls:

28.0ms
(-.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)))))))
20.0ms
(*.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))))))))
11.0ms
(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))))

series472.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

195.0ms
(*.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))))))))
132.0ms
(-.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)))))))
87.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
58.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))

simplify94.0ms (0.2%)

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051306112

prune510.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1701171
Fresh112
Picked101
Done000
Total1722174
Error
0b
Counts
174 → 2
Compiler

Compiled 8432 to 5956 computations (29.4% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))
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 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.5b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))

rewrite39.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_3169
16×associate-*l*_binary64_3088
14×associate-*r/_binary64_3089
12×*-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
distribute-lft-in_binary64_3096 distribute-rgt-in_binary64_3097
add-log-exp_binary64_3186
flip-+_binary64_3121 flip3-+_binary64_3150
frac-add_binary64_3155 cancel-sign-sub-inv_binary64_3113 sub-neg_binary64_3140 associate-+r+_binary64_3079
*-commutative_binary64_3078 flip--_binary64_3122 unswap-sqr_binary64_3115 pow-prod-down_binary64_3218 flip3--_binary64_3151 distribute-lft-neg-in_binary64_3104 prod-exp_binary64_3196 distribute-rgt-neg-in_binary64_3105 cbrt-unprod_binary64_3180
associate-+l+_binary64_3080
neg-mul-1_binary64_3143 +-commutative_binary64_3077 distribute-lft-neg-out_binary64_3106 sum-log_binary64_3238
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))))
7.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
6.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

series302.0ms (0.7%)

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))))))
65.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
61.0ms
(*.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)))

simplify60.0ms (0.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051423203

prune210.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done000
Total1092111
Error
0b
Counts
111 → 2
Compiler

Compiled 4243 to 3004 computations (29.2% saved)

regimes562.0ms (1.3%)

Compiler

Compiled 7224 to 6470 computations (10.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012933
112933

end0.0ms (0%)

sample20.0s (46.4%)

Algorithm
intervals
Results
17.8s781×body8192exit
830.0ms546×body1024overflowed
671.0ms3464×body128overflowed
283.0ms339×body512overflowed
145.0ms5668×pre128true
70.0ms160×body256overflowed
48.0ms368×body128valid
5.0msbody1024valid
4.0msbody4096valid
3.0msbody512valid
1.0msbody256valid
Compiler

Compiled 50 to 44 computations (12% saved)

end0.0ms (0%)

Profiling

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