Details

Time bar (total: 770.0ms)

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

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01311
11311

prune3.0ms

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 2 expressions with local error:

0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(/.f64 1 (-.f64 x 1))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity_binary64
30×add-sqr-sqrt_binary64
29×times-frac_binary64
14×add-cube-cbrt_binary64
distribute-lft-out_binary64 difference-of-squares_binary64
associate-/r*_binary64
add-exp-log_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 difference-of-sqr-1_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/l*_binary64
associate-/r/_binary64 div-inv_binary64 div-exp_binary64
flip3-+_binary64 flip3--_binary64 1-exp_binary64 cbrt-undiv_binary64 frac-add_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 +-commutative_binary64 flip--_binary64 pow-flip_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 67
Calls
2 calls:
34.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))

series8.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
2.0ms
(/.f64 1 (-.f64 x 1))

simplify75.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04864749
14864749

prune36.0ms

Filtered
43 candidates to 73 candidates (-69.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh000
Picked101
Done000
Total73174

Merged error: 0b

Counts
74 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 -1 x))
0.0b
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
0.0b
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x)))
0.0b
(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
142×*-un-lft-identity_binary64
54×distribute-lft-out_binary64
52×times-frac_binary64
24×cbrt-prod_binary64
19×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×unpow-prod-down_binary64 cube-prod_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 cube-div_binary64 div-inv_binary64
flip3-+_binary64 associate-/r*_binary64 flip-+_binary64
cbrt-div_binary64 pow-unpow_binary64 frac-add_binary64 associate-/l*_binary64
sqr-pow_binary64 associate-/r/_binary64 div-exp_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 rem-cbrt-cube_binary64 1-exp_binary64 cbrt-undiv_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 inv-pow_binary64 rem-cube-cbrt_binary64 frac-2neg_binary64 rec-exp_binary64 +-commutative_binary64 pow-flip_binary64 pow-exp_binary64 sum-log_binary64
Counts
4 → 129
Calls
4 calls:
6.0ms
(/.f64 1 (+.f64 -1 x))
26.0ms
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
22.0ms
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x)))
25.0ms
(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)

series22.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/.f64 1 (+.f64 -1 x))
7.0ms
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
5.0ms
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x)))
7.0ms
(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)

simplify73.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049341902
149341902

prune64.0ms

Filtered
70 candidates to 141 candidates (-101.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done000
Total1411142

Merged error: 0b

Counts
142 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01514
11514

end0.0ms

sample325.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid

Profiling

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