Details

Time bar (total: 1.0min)

analyze4.7s

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
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

sample6.2s

Algorithm
intervals
Results
4.1s529×body5120exit
777.0ms278×body1280overflowed
484.0ms2142×body80overflowed
351.0ms235×body640overflowed
132.0ms150×body320overflowed
87.0ms3651×pre80true
38.0ms249×body80valid
31.0ms61×body160overflowed
3.0msbody640valid
1.0msbody160valid
1.0msbody1280valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
0503768

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.0b
(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)
1.9b
(/.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)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64
692×pow-exp_binary64
684×prod-exp_binary64
593×div-exp_binary64
344×pow-to-exp_binary64
116×1-exp_binary64 rec-exp_binary64
42×*-un-lft-identity_binary64
36×unpow-prod-down_binary64
33×add-sqr-sqrt_binary64
29×times-frac_binary64
22×add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
pow1_binary64
pow-unpow_binary64 add-log-exp_binary64 distribute-lft-out_binary64 pow-pow_binary64 difference-of-squares_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 div-inv_binary64
flip3-+_binary64 sqr-pow_binary64 inv-pow_binary64 distribute-lft-out--_binary64 pow-flip_binary64 flip-+_binary64
associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 flip--_binary64
Counts
4 → 471
Calls
4 calls:
11.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
52.0ms
(/.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)))

series944.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
60.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
65.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
788.0ms
(/.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)))

simplify239.0ms

Algorithm
egg-herbie
Counts
483 → 483
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0553527348

prune182.0ms

Filtered
71 candidates to 483 candidates (-580.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4794483
Fresh000
Picked101
Done000
Total4804484

Merged error: 0.1b

Counts
484 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
sub-neg_binary64 associate-*r/_binary64 add-cube-cbrt_binary64
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 1/2) (-.f64 c_p c_n))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify69.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05008319

prune19.0ms

Filtered
15 candidates to 27 candidates (-80.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh033
Picked011
Done000
Total27431

Merged error: 0.1b

Counts
31 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.5b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
11.1b
(-.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)))))))
11.1b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
38×log-prod_binary64
36×add-sqr-sqrt_binary64
15×associate--r+_binary64 associate--l+_binary64
14×pow1_binary64 difference-of-squares_binary64
12×distribute-lft-out--_binary64 log-div_binary64
10×add-cube-cbrt_binary64 log-pow_binary64
times-frac_binary64
add-exp-log_binary64
flip3-+_binary64 add-log-exp_binary64 flip3--_binary64 associate--l-_binary64 distribute-lft-out_binary64 associate--r-_binary64 add-cbrt-cube_binary64 flip--_binary64 flip-+_binary64
sub-neg_binary64 diff-log_binary64 rem-log-exp_binary64 div-inv_binary64
Counts
4 → 100
Calls
4 calls:
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
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)))))))
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
50.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
130.0ms
(-.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)))))))
70.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
053773125

prune219.0ms

Filtered
79 candidates to 112 candidates (-41.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh202
Picked101
Done011
Total1142116

Merged error: 0b

Counts
116 → 2

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.3b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.3b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
11.1b
(-.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)))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt_binary64
52×*-un-lft-identity_binary64
44×log-prod_binary64
31×difference-of-squares_binary64
20×times-frac_binary64
14×distribute-lft-out--_binary64
11×associate--r+_binary64 associate--l+_binary64
10×pow1_binary64
add-cube-cbrt_binary64 log-div_binary64
add-log-exp_binary64 flip3--_binary64 log-pow_binary64 add-exp-log_binary64 flip--_binary64
div-inv_binary64
add-cbrt-cube_binary64
sub-neg_binary64 associate--l-_binary64 diff-log_binary64 associate--r-_binary64 rem-log-exp_binary64
Counts
4 → 105
Calls
4 calls:
11.0ms
(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)))))
11.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
26.0ms
(-.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)))))))

series338.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
33.0ms
(-.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))))))
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)))))))

simplify137.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
048663544
148663544

prune191.0ms

Filtered
74 candidates to 117 candidates (-58.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done011
Total1172119

Merged error: 0b

Counts
119 → 2

regimes76.0ms

bsearch0.0ms

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
022560
122560

end0.0ms

sample48.2s

Algorithm
intervals
Results
31.2s4501×body5120exit
6.1s2337×body1280overflowed
4.2s19534×body80overflowed
3.2s2238×body640overflowed
944.0ms1126×body320overflowed
754.0ms32579×pre80true
298.0ms2199×body80valid
264.0ms567×body160overflowed
37.0msbody5120valid
37.0ms17×body1280valid
16.0ms12×body640valid
12.0ms32×body160valid
10.0msbody2560valid
6.0msbody320valid

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