Details

Time bar (total: 852.0ms)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052311
152311

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (+.f64 x 1.0))
0.0b
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 x 1.0)))
0.0b
(/.f64 1.0 (-.f64 x 1.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity_binary64
35×times-frac_binary64
30×add-sqr-sqrt_binary64
22×add-cube-cbrt_binary64
11×distribute-lft-out_binary64
associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
associate-/r/_binary64 difference-of-squares_binary64
pow1_binary64
flip3-+_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
flip3--_binary64 frac-add_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
3 → 87
Calls
3 calls:
5.0ms
(/.f64 x (+.f64 x 1.0))
25.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 x 1.0)))
11.0ms
(/.f64 1.0 (-.f64 x 1.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/.f64 x (+.f64 x 1.0))
6.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 x 1.0)))
3.0ms
(/.f64 1.0 (-.f64 x 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05315989

prune88.0ms

Filtered
73 candidates to 96 candidates (-31.5%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New95196
Fresh000
Picked101
Done000
Total96197

Merged error: 0b

Counts
97 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 x (+.f64 1.0 x))
0.0b
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x)))
0.0b
(/.f64 1.0 (-.f64 x 1.0))
0.0b
(exp.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity_binary64
43×times-frac_binary64
32×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
18×distribute-lft-out_binary64
associate-/r*_binary64 add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64 exp-prod_binary64
associate-/l*_binary64
pow1_binary64 associate-/r/_binary64 difference-of-squares_binary64
flip3-+_binary64 cbrt-undiv_binary64 rem-exp-log_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 sum-log_binary64
flip3--_binary64 frac-add_binary64 exp-sum_binary64 +-commutative_binary64 flip--_binary64
Counts
4 → 105
Calls
4 calls:
5.0ms
(/.f64 x (+.f64 1.0 x))
25.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x)))
6.0ms
(/.f64 1.0 (-.f64 x 1.0))
29.0ms
(exp.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/.f64 x (+.f64 1.0 x))
7.0ms
(+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x)))
2.0ms
(/.f64 1.0 (-.f64 x 1.0))
13.0ms
(exp.f64 (+.f64 (/.f64 1.0 (-.f64 x 1.0)) (/.f64 x (+.f64 1.0 x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
055611199

prune105.0ms

Filtered
83 candidates to 117 candidates (-41.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done000
Total1171118

Merged error: 0b

Counts
118 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02113
12113

end0.0ms

sample317.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid

Profiling

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