Details

Time bar (total: 3.6s)

analyze428.0ms (11.8%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049759
149759
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 9 to 8 computations (11.1% saved)

sample21.0ms (0.6%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify118.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
049759
149759

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
29.0b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
29.0b
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×pow1/2_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64 *-un-lft-identity_binary64
Counts
1 → 12
Calls

1 calls:

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

Compiled 132 to 83 computations (37.1% saved)

series40.0ms (1.1%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

36.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify156.0ms (4.3%)

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)))

rewrite190.0ms (5.2%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
158×pow1_binary64
154×sqrt-pow1_binary64
82×pow-prod-down_binary64
33×sqrt-prod_binary64
28×add-sqr-sqrt_binary64
24×pow1/2_binary64
21×pow-prod-up_binary64
13×add-cube-cbrt_binary64 *-un-lft-identity_binary64 pow-sqr_binary64
9×swap-sqr_binary64
7×associate-*l*_binary64 associate-*r*_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 unswap-sqr_binary64
3×rem-sqrt-square_binary64
1×pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 *-commutative_binary64
Counts
4 → 131
Calls

4 calls:

22.0ms
(*.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 (3.4%)

Error
0.2b
Counts
4 → 12
Calls

4 calls:

31.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
30.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
30.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x)))))
23.0ms
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
Compiler

Compiled 437 to 362 computations (17.2% saved)

simplify76.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051881158

prune116.0ms (3.2%)

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)

localize11.0ms (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)))

rewrite148.0ms (4.1%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
29×pow1_binary64
27×sqrt-prod_binary64
21×add-sqr-sqrt_binary64
16×pow-prod-down_binary64 sqrt-pow1_binary64 associate-*l*_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1/2_binary64
7×associate-*r*_binary64
4×add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
3×sqrt-unprod_binary64
2×*-commutative_binary64
1×rem-sqrt-square_binary64
Counts
4 → 88
Calls

4 calls:

17.0ms
(*.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)))
5.0ms
(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)

series134.0ms (3.7%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

36.0ms
(*.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)))
24.0ms
(sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 x x))))
Compiler

Compiled 540 to 457 computations (15.4% saved)

simplify73.0ms (2%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049241769
149241769

prune110.0ms (3%)

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)

localize5.0ms (0.2%)

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)))

rewrite73.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
21×sqrt-prod_binary64
18×associate-*l*_binary64
15×add-sqr-sqrt_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
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)

series76.0ms (2.1%)

Error
0.0b
Counts
2 → 6
Calls

2 calls:

42.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
29.0ms
(*.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 (2.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04932692
14932692

prune51.0ms (1.4%)

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)

regimes255.0ms (7%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 2534 to 2078 computations (18% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
11328
Removed

()

end0.0ms (0%)

sample1.3s (35.3%)

Algorithm
1×intervals
Results
344.0ms8000×body128valid
Compiler

Compiled 649 to 536 computations (17.4% saved)

Profiling

Loading profile data...