Details

Time bar (total: 2.1s)

analyze77.0ms (3.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%18.7%12.6%7
68.7%12.5%18.8%8
68.7%12.5%18.8%9
68.7%9.4%22%10
68.7%9.4%22%11
68.7%7.8%23.5%12
68.7%7.8%23.5%13
68.7%7%24.3%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms20×body128overflowed
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify162.0ms (7.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0813
1813

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_2099
12×times-frac_binary64_2105
10×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131
distribute-lft-out_binary64_2052 associate-/r*_binary64_2045
add-cbrt-cube_binary64_2132 associate-/l*_binary64_2046
associate-/r/_binary64_2047 add-exp-log_binary64_2134
cbrt-undiv_binary64_2130 flip3-+_binary64_2102 pow1_binary64_2157 div-exp_binary64_2147 frac-2neg_binary64_2110 add-log-exp_binary64_2135 clear-num_binary64_2098 div-inv_binary64_2096 flip-+_binary64_2073
Counts
1 → 33
Calls

1 calls:

7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series96.0ms (4.5%)

Counts
1 → 3
Calls

1 calls:

96.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify58.0ms (2.7%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05091718

prune28.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0.2b

Counts
37 → 4
Compiler

Compiled 569 to 125 computations (78% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.7b
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.7b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite23.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_2099
10×add-sqr-sqrt_binary64_2120
log-prod_binary64_2182
add-cube-cbrt_binary64_2131 log-div_binary64_2183 pow1_binary64_2157 add-log-exp_binary64_2135 exp-prod_binary64_2148
associate--r+_binary64_2037 associate--r-_binary64_2040 distribute-lft-out--_binary64_2053 add-exp-log_binary64_2134
flip3-+_binary64_2102 log-pow_binary64_2185 add-cbrt-cube_binary64_2132 exp-sum_binary64_2142 flip-+_binary64_2073
difference-of-squares_binary64_2068 sub-neg_binary64_2092 rem-exp-log_binary64_2136 distribute-lft-out_binary64_2052 diff-log_binary64_2188
flip3--_binary64_2103 flip--_binary64_2074 rem-log-exp_binary64_2137 exp-diff_binary64_2144
Counts
3 → 54
Calls

3 calls:

8.0ms
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series224.0ms (10.6%)

Counts
3 → 9
Calls

3 calls:

90.0ms
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
67.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
67.0ms
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

simplify78.0ms (3.7%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
048631022
148631022

prune46.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh022
Picked011
Done011
Total62567

Merged error: 0.0b

Counts
67 → 5
Compiler

Compiled 957 to 265 computations (72.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.2b
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.3b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite33.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity_binary64_2099
36×times-frac_binary64_2105 exp-prod_binary64_2148
29×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131
19×log-pow_binary64_2185
10×distribute-lft-out_binary64_2052
associate-/r/_binary64_2047
add-cbrt-cube_binary64_2132
pow1_binary64_2157 add-log-exp_binary64_2135 associate-/r*_binary64_2045 add-exp-log_binary64_2134
flip3-+_binary64_2102 log-prod_binary64_2182 associate-/l*_binary64_2046 div-inv_binary64_2096 flip-+_binary64_2073
rem-exp-log_binary64_2136 cbrt-undiv_binary64_2130 div-exp_binary64_2147 frac-2neg_binary64_2110 rem-log-exp_binary64_2137 clear-num_binary64_2098
Counts
3 → 89
Calls

3 calls:

9.0ms
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series371.0ms (17.5%)

Counts
3 → 9
Calls

3 calls:

162.0ms
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
115.0ms
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
94.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify67.0ms (3.2%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052761734

prune69.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh022
Picked011
Done022
Total985103

Merged error: 0.0b

Counts
103 → 5
Compiler

Compiled 1711 to 321 computations (81.2% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))
0.0b
(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))

rewrite18.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
sub-neg_binary64_2092
add-log-exp_binary64_2135
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 associate--l+_binary64_2038 *-un-lft-identity_binary64_2099
log-prod_binary64_2182 associate--r+_binary64_2037 exp-prod_binary64_2148 exp-sum_binary64_2142
rem-exp-log_binary64_2136 distribute-rgt-in_binary64_2051 distribute-lft-in_binary64_2050 add-cbrt-cube_binary64_2132 pow1_binary64_2157 add-exp-log_binary64_2134 diff-log_binary64_2188
flip3--_binary64_2103 flip--_binary64_2074 exp-diff_binary64_2144
Counts
2 → 32
Calls

2 calls:

9.0ms
(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))
8.0ms
(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))

series83.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

45.0ms
(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))
37.0ms
(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))

simplify53.0ms (2.5%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04888540
14888540

prune30.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New37138
Fresh101
Picked101
Done033
Total39443

Merged error: 0.0b

Counts
43 → 4
Compiler

Compiled 495 to 321 computations (35.2% saved)

regimes46.0ms (2.1%)

Compiler

Compiled 198 to 177 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0813
1813

end0.0ms (0%)

sample505.0ms (23.8%)

Algorithm
intervals
Results
236.0ms8000×body128valid
16.0ms649×body128overflowed
Compiler

Compiled 59 to 52 computations (11.9% saved)

Profiling

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