Details

Time bar (total: 1.9s)

analyze9.0ms (0.4%)

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
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample24.0ms (1.2%)

Algorithm
intervals
Results
15.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify175.0ms (9.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01416
11416

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize14.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

rewrite103.0ms (5.3%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_3147
41×times-frac_binary64_3153
40×add-sqr-sqrt_binary64_3169
24×add-cube-cbrt_binary64_3182
12×distribute-lft-out_binary64_3098
11×associate-/r*_binary64_3091
add-exp-log_binary64_3185
difference-of-squares_binary64_3116
add-cbrt-cube_binary64_3183
distribute-lft-out--_binary64_3099 associate-/l*_binary64_3092
add-log-exp_binary64_3186
difference-of-sqr-1_binary64_3117 pow1_binary64_3208 associate-/r/_binary64_3093
div-exp_binary64_3198 div-inv_binary64_3144
clear-num_binary64_3146 flip-+_binary64_3121 frac-2neg_binary64_3158 flip3-+_binary64_3150 cbrt-undiv_binary64_3181
frac-add_binary64_3155 flip--_binary64_3122 flip3--_binary64_3151 inv-pow_binary64_3232 +-commutative_binary64_3077 pow-flip_binary64_3221 1-exp_binary64_3191 rec-exp_binary64_3197 sum-log_binary64_3238
Counts
3 → 100
Calls

3 calls:

61.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
13.0ms
(/.f64 1 (-.f64 x 1))
9.0ms
(/.f64 x (+.f64 x 1))

series96.0ms (5%)

Counts
3 → 9
Calls

3 calls:

53.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
25.0ms
(/.f64 x (+.f64 x 1))
18.0ms
(/.f64 1 (-.f64 x 1))

simplify129.0ms (6.7%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
051621579

prune189.0ms (9.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done000
Total1082110

Merged error: 0b

Counts
110 → 2
Compiler

Compiled 1864 to 1364 computations (26.8% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1 (*.f64 x x))
17.3b
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

rewrite21.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
times-frac_binary64_3153
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 add-log-exp_binary64_3186
flip-+_binary64_3121 associate-/r*_binary64_3091 flip3-+_binary64_3150 associate-/l*_binary64_3092
associate-/l/_binary64_3094 pow1_binary64_3208 associate-/r/_binary64_3093
clear-num_binary64_3146 frac-2neg_binary64_3158 +-commutative_binary64_3077 cbrt-undiv_binary64_3181 div-exp_binary64_3198 div-inv_binary64_3144 sum-log_binary64_3238
Counts
2 → 42
Calls

2 calls:

11.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))
5.0ms
(+.f64 1 (*.f64 x x))

series79.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))
36.0ms
(+.f64 1 (*.f64 x x))

simplify116.0ms (6%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05503950

prune67.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done011
Total48250

Merged error: 0b

Counts
50 → 2
Compiler

Compiled 887 to 487 computations (45.1% saved)

regimes50.0ms (2.6%)

Compiler

Compiled 180 to 142 computations (21.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample844.0ms (43.6%)

Algorithm
intervals
Results
453.0ms8000×body128valid
Compiler

Compiled 101 to 81 computations (19.8% saved)

Profiling

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