Details

Time bar (total: 1.7min)

analyze4.4s

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

sample7.4s

Algorithm
intervals
Results
5.6s461×body8192exit
752.0ms383×body1024overflowed
470.0ms2110×body128overflowed
214.0ms200×body512overflowed
94.0ms3493×pre128true
43.0ms83×body256overflowed
33.0ms254×body128valid
1.0msbody1024valid
1.0msbody512valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0505668

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
0.7b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
2.2b
(/.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)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
844×add-exp-log_binary64
480×prod-exp_binary64
454×pow-exp_binary64
354×div-exp_binary64
258×pow-to-exp_binary64
98×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 → 364
Calls
4 calls:
12.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) 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)))

series1.9s

Counts
4 → 12
Calls
4 calls:
57.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
112.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
121.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.6s
(/.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)))

simplify184.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0549320357

prune187.0ms

Filtered
71 candidates to 376 candidates (-429.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3742376
Fresh000
Picked101
Done000
Total3752377

Merged error: 0.0b

Counts
377 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify53.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04922319
14922319

prune14.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done000
Total27229

Merged error: 0.0b

Counts
29 → 2

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
0.7b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
8.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0b
(-.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

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity_binary64
47×add-sqr-sqrt_binary64
45×log-prod_binary64
20×difference-of-squares_binary64
15×associate--r+_binary64 associate--l+_binary64
14×pow1_binary64 distribute-lft-out--_binary64
12×times-frac_binary64 log-div_binary64
10×add-cube-cbrt_binary64 log-pow_binary64
add-exp-log_binary64
flip3--_binary64 flip--_binary64
add-log-exp_binary64 associate--l-_binary64 associate--r-_binary64 add-cbrt-cube_binary64
flip3-+_binary64 distribute-lft-out_binary64 div-inv_binary64 flip-+_binary64
sub-neg_binary64 diff-log_binary64 rem-log-exp_binary64
Counts
4 → 107
Calls
4 calls:
12.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
5.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
29.0ms
(-.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)))))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
97.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
128.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
251.0ms
(-.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)))))))

simplify121.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
049013492
149013492

prune226.0ms

Filtered
81 candidates to 119 candidates (-46.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh000
Picked011
Done011
Total1183121

Merged error: 0b

Counts
121 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
0.7b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
8.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
24×log-prod_binary64
20×add-sqr-sqrt_binary64
16×pow1_binary64
14×add-cube-cbrt_binary64
12×log-div_binary64 associate--l+_binary64
10×log-pow_binary64 associate-*l*_binary64
associate-*r*_binary64 add-exp-log_binary64 distribute-lft-out--_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
flip3-+_binary64 distribute-lft-out_binary64 associate--r-_binary64 add-cbrt-cube_binary64 flip-+_binary64
add-log-exp_binary64 associate--r+_binary64
sub-neg_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
flip3--_binary64 associate--l-_binary64 rem-log-exp_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-neg-out_binary64 neg-mul-1_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 105
Calls
4 calls:
15.0ms
(*.f64 (neg.f64 c_p) (-.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))))
13.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
99.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
86.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
132.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
048862849
148862849

prune152.0ms

Filtered
79 candidates to 117 candidates (-48.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done022
Total1173120

Merged error: 0b

Counts
120 → 3

regimes116.0ms

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02313
12313

end0.0ms

sample1.5min

Algorithm
intervals
Results
1.1min5682×body8192exit
8.0s4235×body1024overflowed
5.5s25731×body128overflowed
2.3s2236×body512overflowed
1.0s42085×pre128true
587.0ms1184×body256overflowed
379.0ms2956×body128valid
46.0ms27×body1024valid
27.0msbody8192valid
18.0msbody4096valid
17.0msbody2048valid
16.0ms18×body512valid
7.0msbody2048overflowed
2.0msbody256valid
0.0msbody128invalid

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