Details

Time bar (total: 2.8s)

analyze69.0ms (2.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample29.0ms (1%)

Algorithm
1×intervals
Results
17.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify166.0ms (5.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
067
167

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_8944
12×times-frac_binary64_8950
10×add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966
4×associate-/r*_binary64_8888 distribute-lft-out_binary64_8895
3×associate-/l*_binary64_8889 add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
2×associate-/r/_binary64_8890
1×flip3-+_binary64_8947 pow1_binary64_9005 div-exp_binary64_8995 clear-num_binary64_8943 frac-2neg_binary64_8955 div-inv_binary64_8941 flip-+_binary64_8918 cbrt-undiv_binary64_8978 add-log-exp_binary64_8983
Counts
1 → 33
Calls

1 calls:

11.0ms
(/.f64 x (+.f64 x y))

series50.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(/.f64 x (+.f64 x y))

simplify102.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
05771431

prune42.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4
Compiler

Compiled 394 to 112 computations (71.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x y) x)
0.5b
(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite47.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
108×times-frac_binary64_8950
92×*-un-lft-identity_binary64_8944
60×add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966
19×associate-/r*_binary64_8888
16×distribute-lft-out_binary64_8895
15×add-exp-log_binary64_8982
9×add-cbrt-cube_binary64_8980
8×div-exp_binary64_8995
7×associate-/l*_binary64_8889
6×div-inv_binary64_8941
4×cbrt-undiv_binary64_8978
3×pow1_binary64_9005
2×clear-num_binary64_8943 frac-2neg_binary64_8955 rec-exp_binary64_8994 associate-/l/_binary64_8891 add-log-exp_binary64_8983 1-exp_binary64_8988
1×inv-pow_binary64_9029 flip3-+_binary64_8947 associate-/r/_binary64_8890 flip-+_binary64_8918 pow-flip_binary64_9018
Counts
2 → 121
Calls

2 calls:

16.0ms
(/.f64 1 (/.f64 (+.f64 x y) x))
11.0ms
(/.f64 (+.f64 x y) x)

series80.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(/.f64 1 (/.f64 (+.f64 x y) x))
28.0ms
(/.f64 (+.f64 x y) x)

simplify136.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
051871957

prune140.0ms (5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0.0b

Counts
131 → 4
Compiler

Compiled 1674 to 496 computations (70.4% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))
0.1b
(pow.f64 (/.f64 x (+.f64 x y)) 3)
13.1b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite65.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
78×*-un-lft-identity_binary64_8944
60×times-frac_binary64_8950
46×add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966
42×cbrt-prod_binary64_8975
36×cube-prod_binary64_8972 unpow-prod-down_binary64_9023
16×distribute-lft-out_binary64_8895
10×associate-/r/_binary64_8890
8×add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
5×flip3-+_binary64_8947 div-inv_binary64_8941 flip-+_binary64_8918
4×pow1_binary64_9005 associate-/r*_binary64_8888
3×associate-/l*_binary64_8889 pow-unpow_binary64_9021 add-log-exp_binary64_8983
2×sqr-pow_binary64_8916 rem-cube-cbrt_binary64_8967 div-exp_binary64_8995 cube-mult_binary64_8974 unpow3_binary64_9010 pow-exp_binary64_9012 cube-div_binary64_8973 cbrt-undiv_binary64_8978
1×pow1/3_binary64_9026 cbrt-div_binary64_8976 clear-num_binary64_8943 rem-cbrt-cube_binary64_8968 pow-pow_binary64_9016 frac-2neg_binary64_8955 pow-to-exp_binary64_9013
Counts
3 → 141
Calls

3 calls:

17.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
15.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
10.0ms
(/.f64 x (+.f64 x y))

series207.0ms (7.3%)

Counts
3 → 9
Calls

3 calls:

105.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
56.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
45.0ms
(/.f64 x (+.f64 x y))

simplify139.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
050072125

prune166.0ms (5.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done022
Total1504154

Merged error: 0.0b

Counts
154 → 4
Compiler

Compiled 1904 to 667 computations (65% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sqrt.f64 x) (+.f64 x y))
0.1b
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))

rewrite57.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
62×*-un-lft-identity_binary64_8944
52×times-frac_binary64_8950 add-sqr-sqrt_binary64_8966
36×add-cube-cbrt_binary64_8979
35×sqrt-prod_binary64_8960
30×associate-*r*_binary64_8884
13×distribute-lft-out_binary64_8895
9×add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
6×associate-*l*_binary64_8885 associate-/l*_binary64_8889 unswap-sqr_binary64_8912
4×associate-/r/_binary64_8890 pow1_binary64_9005 associate-/r*_binary64_8888
2×flip3-+_binary64_8947 div-exp_binary64_8995 prod-exp_binary64_8993 div-inv_binary64_8941 flip-+_binary64_8918 cbrt-undiv_binary64_8978 add-log-exp_binary64_8983 cbrt-unprod_binary64_8977
1×associate-*r/_binary64_8886 clear-num_binary64_8943 frac-2neg_binary64_8955 *-commutative_binary64_8875 pow-prod-down_binary64_9015
Counts
2 → 104
Calls

2 calls:

29.0ms
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
11.0ms
(/.f64 (sqrt.f64 x) (+.f64 x y))

series127.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

72.0ms
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
55.0ms
(/.f64 (sqrt.f64 x) (+.f64 x y))

simplify147.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
053291577

prune120.0ms (4.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done033
Total1104114

Merged error: 0.0b

Counts
114 → 4
Compiler

Compiled 1592 to 269 computations (83.1% saved)

regimes94.0ms (3.3%)

Compiler

Compiled 275 to 196 computations (28.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample782.0ms (27.6%)

Algorithm
1×intervals
Results
294.0ms8000×body128valid
Compiler

Compiled 98 to 71 computations (27.6% saved)

Profiling

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