Details

Time bar (total: 3.1s)

analyze100.0ms (3.3%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%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%0.1%14
Symmetry
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample13.0ms (0.4%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
29.0b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

27.9b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Error
29.0b
Rules
7×pow1_binary64_139
3×pow-prod-down_binary64_149 sqrt-pow1_binary64_96
1×pow1/2_binary64_158 add-log-exp_binary64_117 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 sqrt-prod_binary64_94 *-un-lft-identity_binary64_78
Counts
1 → 12
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 132 to 83 computations (37.1% saved)

series45.0ms (1.5%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

37.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify157.0ms (5.1%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
04798120
14798120

prune17.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New9615
Fresh000
Picked011
Done000
Total9716
Error
0.2b
Counts
16 → 7
Compiler

Compiled 189 to 132 computations (30.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))))
27.9b
(sqrt.f64 (*.f64 2 (*.f64 x x)))
27.9b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite187.0ms (6.1%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
158×pow1_binary64_139
154×sqrt-pow1_binary64_96
82×pow-prod-down_binary64_149
33×sqrt-prod_binary64_94
28×add-sqr-sqrt_binary64_100
24×pow1/2_binary64_158
21×pow-prod-up_binary64_148
13×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 pow-sqr_binary64_51
9×swap-sqr_binary64_45
7×associate-*l*_binary64_19 associate-*r*_binary64_18
6×add-exp-log_binary64_116 add-cbrt-cube_binary64_114
4×add-log-exp_binary64_117 unswap-sqr_binary64_46
3×rem-sqrt-square_binary64_91
1×pow2_binary64_159 pow-plus_binary64_141 prod-exp_binary64_127 cbrt-unprod_binary64_111 sqrt-unprod_binary64_98 sqr-abs_binary64_93 rem-square-sqrt_binary64_90 *-commutative_binary64_9
Counts
4 → 131
Calls

4 calls:

18.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))))
5.0ms
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
4.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
4.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 2665 to 1778 computations (33.3% saved)

series122.0ms (4%)

Error
0.2b
Counts
4 → 12
Calls

4 calls:

30.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
29.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
29.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))))
25.0ms
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
Compiler

Compiled 437 to 362 computations (17.2% saved)

simplify73.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051881158

prune119.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1394143
Fresh325
Picked101
Done011
Total1437150
Error
0.2b
Counts
150 → 7
Compiler

Compiled 1939 to 1280 computations (34% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x)))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x))))
27.9b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite143.0ms (4.7%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
29×pow1_binary64_139
27×sqrt-prod_binary64_94
21×add-sqr-sqrt_binary64_100
16×pow-prod-down_binary64_149 sqrt-pow1_binary64_96 associate-*l*_binary64_19
12×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
11×add-exp-log_binary64_116 add-cbrt-cube_binary64_114
8×pow1/2_binary64_158
7×associate-*r*_binary64_18
4×add-log-exp_binary64_117 prod-exp_binary64_127 cbrt-unprod_binary64_111 unswap-sqr_binary64_46
3×sqrt-unprod_binary64_98
2×*-commutative_binary64_9
1×rem-sqrt-square_binary64_91
Counts
4 → 88
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x))))
12.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x)))
8.0ms
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
4.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 1983 to 1252 computations (36.9% saved)

series131.0ms (4.3%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

39.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x))))
33.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (fabs.f64 x)))
30.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
20.0ms
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
Compiler

Compiled 540 to 457 computations (15.4% saved)

simplify75.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049241769
149241769

prune109.0ms (3.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked101
Done011
Total998107
Error
0.0b
Counts
107 → 8
Compiler

Compiled 1984 to 1289 computations (35% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)))

rewrite72.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
21×sqrt-prod_binary64_94
18×associate-*l*_binary64_19
15×add-sqr-sqrt_binary64_100
9×pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
4×pow-prod-down_binary64_149 prod-exp_binary64_127 cbrt-unprod_binary64_111 associate-*r*_binary64_18
3×unswap-sqr_binary64_46
2×add-log-exp_binary64_117 *-commutative_binary64_9
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)))
6.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
Compiler

Compiled 858 to 704 computations (17.9% saved)

series79.0ms (2.6%)

Error
0.0b
Counts
2 → 6
Calls

2 calls:

42.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
33.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)))
Compiler

Compiled 135 to 125 computations (7.4% saved)

simplify85.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04932692
14932692

prune49.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh246
Picked011
Done101
Total58664
Error
0b
Counts
64 → 6
Compiler

Compiled 723 to 580 computations (19.8% saved)

regimes324.0ms (10.6%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 3358 to 2672 computations (20.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
11328
Removed

()

end0.0ms (0%)

sample1.1s (36%)

Algorithm
1×intervals
Results
185.0ms8000×body128valid
Compiler

Compiled 639 to 527 computations (17.5% saved)

Profiling

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