Details

Time bar (total: 1.9s)

analyze4.0ms (0.2%)

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)

sample12.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify157.0ms (8.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune2.0ms (0.1%)

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)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite56.0ms (3%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_3110
41×times-frac_binary64_3116
40×add-sqr-sqrt_binary64_3131
24×add-cube-cbrt_binary64_3142
12×distribute-lft-out_binary64_3063
11×associate-/r*_binary64_3056
add-exp-log_binary64_3145
difference-of-squares_binary64_3079
add-cbrt-cube_binary64_3143
distribute-lft-out--_binary64_3064 associate-/l*_binary64_3057
add-log-exp_binary64_3146
difference-of-sqr-1_binary64_3080 pow1_binary64_3168 associate-/r/_binary64_3058
div-exp_binary64_3158 div-inv_binary64_3107
cbrt-undiv_binary64_3141 clear-num_binary64_3109 flip3-+_binary64_3113 frac-2neg_binary64_3121 flip-+_binary64_3084
frac-add_binary64_3118 +-commutative_binary64_3042 1-exp_binary64_3151 rec-exp_binary64_3157 inv-pow_binary64_3192 sum-log_binary64_3198 pow-flip_binary64_3181 flip3--_binary64_3114 flip--_binary64_3085
Counts
3 → 100
Calls

3 calls:

33.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
7.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 x (+.f64 x 1))

series106.0ms (5.7%)

Counts
3 → 9
Calls

3 calls:

62.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
25.0ms
(/.f64 x (+.f64 x 1))
19.0ms
(/.f64 1 (-.f64 x 1))

simplify63.0ms (3.4%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050761579

prune102.0ms (5.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh000
Picked011
Done000
Total1073110

Merged error: 0b

Counts
110 → 3
Compiler

Compiled 1902 to 1396 computations (26.6% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite150.0ms (8.1%)

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity_binary64_3110
32×times-frac_binary64_3116 distribute-lft-out_binary64_3063
10×add-log-exp_binary64_3146
cbrt-prod_binary64_3138
distribute-lft-out--_binary64_3064
add-cube-cbrt_binary64_3142 add-sqr-sqrt_binary64_3131
frac-add_binary64_3118 add-exp-log_binary64_3145 pow1_binary64_3168 flip3-+_binary64_3113 add-cbrt-cube_binary64_3143 flip-+_binary64_3084 div-inv_binary64_3107
+-commutative_binary64_3042 cbrt-div_binary64_3139 sum-log_binary64_3198
pow1/3_binary64_3189
Counts
4 → 74
Calls

4 calls:

37.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
36.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
33.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
33.0ms
(cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))))

series302.0ms (16.3%)

Counts
4 → 12
Calls

4 calls:

123.0ms
(cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))))
63.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
59.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
58.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))

simplify76.0ms (4.1%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050191961

prune196.0ms (10.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done011
Total86389

Merged error: 0b

Counts
89 → 3
Compiler

Compiled 3885 to 2990 computations (23% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

13.9b
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
times-frac_binary64_3116 add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-sqr-sqrt_binary64_3131
add-exp-log_binary64_3145 associate-/r*_binary64_3056 add-cbrt-cube_binary64_3143 associate-/l*_binary64_3057
associate-/l/_binary64_3059 associate-/r/_binary64_3058 flip3-+_binary64_3113 flip-+_binary64_3084
cbrt-undiv_binary64_3141 div-exp_binary64_3158 clear-num_binary64_3109 pow1_binary64_3168 add-log-exp_binary64_3146 frac-2neg_binary64_3121 div-inv_binary64_3107
Counts
1 → 31
Calls

1 calls:

7.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

series60.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

60.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

simplify53.0ms (2.9%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05085811

prune32.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done022
Total34337

Merged error: 0b

Counts
37 → 3
Compiler

Compiled 681 to 377 computations (44.6% saved)

regimes21.0ms (1.1%)

Compiler

Compiled 144 to 112 computations (22.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample429.0ms (23.1%)

Algorithm
intervals
Results
240.0ms8000×body128valid
Compiler

Compiled 83 to 66 computations (20.5% saved)

Profiling

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