Details

Time bar (total: 3.0s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample20.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms65×body1024valid
3.0ms126×body128valid
3.0ms40×body512valid
1.0ms9×body2048valid
1.0ms16×body256valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify103.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07111
17111

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.8b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
3.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite16.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-prod_binary64_791
16×*-un-lft-identity_binary64_760
15×add-sqr-sqrt_binary64_782
7×add-cube-cbrt_binary64_795
6×cancel-sign-sub-inv_binary64_726
5×add-log-exp_binary64_799
4×difference-of-squares_binary64_729
3×add-exp-log_binary64_798 add-cbrt-cube_binary64_796 distribute-lft-out--_binary64_712 pow1_binary64_821
2×pow1/3_binary64_842 distribute-lft-out_binary64_711 cbrt-div_binary64_792
1×diff-log_binary64_852 flip3-+_binary64_763 flip-+_binary64_734 sub-neg_binary64_753 flip--_binary64_735 flip3--_binary64_764
Counts
3 → 49
Calls

3 calls:

9.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms
(cbrt.f64 (+.f64 x 1))
1.0ms
(cbrt.f64 x)

series161.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

82.0ms
(cbrt.f64 x)
54.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
24.0ms
(cbrt.f64 (+.f64 x 1))

simplify77.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04796788
14796788

prune63.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New53558
Fresh000
Picked101
Done000
Total54559
Error
0.3b
Counts
59 → 5
Compiler

Compiled 827 to 549 computations (33.6% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 -1/9 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (neg.f64 x))

rewrite12.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
17×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
16×cbrt-prod_binary64_791
9×times-frac_binary64_766
6×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
4×add-log-exp_binary64_799 pow1_binary64_821
3×pow1/3_binary64_842 distribute-lft-neg-in_binary64_717 associate-/r*_binary64_704 associate-/l*_binary64_705 distribute-rgt-neg-in_binary64_718
1×neg-mul-1_binary64_756 frac-2neg_binary64_771 cbrt-undiv_binary64_794 div-inv_binary64_757 div-exp_binary64_811 clear-num_binary64_759
Counts
4 → 67
Calls

4 calls:

3.0ms
(/.f64 -1/9 x)
2.0ms
(cbrt.f64 (neg.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series263.0ms (8.7%)

Counts
4 → 12
Calls

4 calls:

98.0ms
(cbrt.f64 (neg.f64 x))
78.0ms
(cbrt.f64 x)
77.0ms
(cbrt.f64 x)
10.0ms
(/.f64 -1/9 x)

simplify76.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04897601
14897601

prune95.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New75479
Fresh044
Picked011
Done000
Total75984
Error
0.2b
Counts
84 → 9
Compiler

Compiled 2043 to 1145 computations (44% saved)

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (neg.f64 x))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
19×cbrt-prod_binary64_791
10×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
4×pow1/3_binary64_842 add-exp-log_binary64_798 add-log-exp_binary64_799 add-cbrt-cube_binary64_796 pow1_binary64_821
3×distribute-lft-neg-in_binary64_717 distribute-rgt-neg-in_binary64_718
1×neg-mul-1_binary64_756
Counts
4 → 51
Calls

4 calls:

2.0ms
(cbrt.f64 (neg.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series324.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(cbrt.f64 (neg.f64 x))
81.0ms
(cbrt.f64 x)
80.0ms
(cbrt.f64 x)
76.0ms
(cbrt.f64 x)

simplify32.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05005439

prune92.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh077
Picked101
Done011
Total611172
Error
0.2b
Counts
72 → 11
Compiler

Compiled 2281 to 1015 computations (55.5% saved)

localize25.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (neg.f64 x))

rewrite11.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
19×cbrt-prod_binary64_791
10×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
4×pow1/3_binary64_842 add-exp-log_binary64_798 add-log-exp_binary64_799 add-cbrt-cube_binary64_796 pow1_binary64_821
3×distribute-lft-neg-in_binary64_717 distribute-rgt-neg-in_binary64_718
1×neg-mul-1_binary64_756
Counts
4 → 51
Calls

4 calls:

2.0ms
(cbrt.f64 (neg.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series335.0ms (11%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(cbrt.f64 (neg.f64 x))
85.0ms
(cbrt.f64 x)
84.0ms
(cbrt.f64 x)
79.0ms
(cbrt.f64 x)

simplify33.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05005439

prune84.0ms (2.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh099
Picked011
Done011
Total621274
Error
0.2b
Counts
74 → 12
Compiler

Compiled 2603 to 893 computations (65.7% saved)

regimes123.0ms (4%)

Accuracy

Total 0.4b remaining (67.9%)

Threshold costs 0.4b (67.9%)

Compiler

Compiled 985 to 717 computations (27.2% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07160
17160

end0.0ms (0%)

sample1.0s (33.9%)

Algorithm
1×intervals
Results
199.0ms1971×body1024valid
118.0ms4313×body128valid
75.0ms993×body512valid
29.0ms226×body2048valid
24.0ms497×body256valid
Compiler

Compiled 506 to 365 computations (27.9% saved)

Profiling

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