Details

Time bar (total: 2.0s)

analyze4.0ms (0.2%)

Algorithm
1×search
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
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample11.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify166.0ms (8.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 28.6b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

27.6b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite5.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64_135
3×pow-prod-down_binary64_145 sqrt-pow1_binary64_94
1×add-exp-log_binary64_112 sqrt-prod_binary64_92 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 add-cube-cbrt_binary64_109 pow1/2_binary64_154 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
Counts
1 → 12
Calls

1 calls:

4.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

series49.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify144.0ms (7.1%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (137.0ms)

IterNodesCost
04780123
14780123

prune19.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616

Merged error: 0.2b

Counts
16 → 6
Compiler

Compiled 167 to 130 computations (22.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
27.6b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
27.6b
(sqrt.f64 (*.f64 x (*.f64 2 x)))

rewrite48.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
158×pow1_binary64_135
154×sqrt-pow1_binary64_94
82×pow-prod-down_binary64_145
33×sqrt-prod_binary64_92
26×add-sqr-sqrt_binary64_98
24×pow1/2_binary64_154
21×pow-prod-up_binary64_144
13×pow-sqr_binary64_50 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
9×swap-sqr_binary64_44
7×associate-*l*_binary64_20 associate-*r*_binary64_19
6×add-exp-log_binary64_112 add-cbrt-cube_binary64_110
4×add-log-exp_binary64_113 unswap-sqr_binary64_45
1×rem-square-sqrt_binary64_89 pow2_binary64_155 rem-sqrt-square_binary64_90 cbrt-unprod_binary64_107 pow-plus_binary64_137 prod-exp_binary64_123 *-commutative_binary64_10 sqrt-unprod_binary64_96
Counts
4 → 130
Calls

4 calls:

18.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
6.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
5.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series193.0ms (9.5%)

Counts
4 → 12
Calls

4 calls:

53.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
53.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
45.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
42.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

simplify59.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050101267

prune120.0ms (5.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1411142
Fresh134
Picked011
Done011
Total1426148

Merged error: 0.2b

Counts
148 → 6
Compiler

Compiled 1949 to 1488 computations (23.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_98
6×associate-*r*_binary64_19
4×sqrt-prod_binary64_92 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
3×add-exp-log_binary64_112 associate-*l*_binary64_20 add-cbrt-cube_binary64_110 pow1_binary64_135
2×unswap-sqr_binary64_45
1×pow-prod-down_binary64_145 add-log-exp_binary64_113 cbrt-unprod_binary64_107 prod-exp_binary64_123 *-commutative_binary64_10
Counts
1 → 22
Calls

1 calls:

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

series50.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(*.f64 x (sqrt.f64 2))

simplify45.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04987211
14987211

prune23.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New22325
Fresh033
Picked011
Done022
Total22931

Merged error: 0.1b

Counts
31 → 9
Compiler

Compiled 274 to 230 computations (16.1% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite27.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_112 pow1_binary64_135
10×associate-*r*_binary64_19
9×add-cbrt-cube_binary64_110 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
7×add-sqr-sqrt_binary64_98
6×cbrt-prod_binary64_105 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×associate-*l*_binary64_20
3×sqrt-prod_binary64_92
2×add-log-exp_binary64_113 *-commutative_binary64_10
1×unswap-sqr_binary64_45
Counts
2 → 46
Calls

2 calls:

14.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
9.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series332.0ms (16.3%)

Counts
2 → 6
Calls

2 calls:

267.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
65.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify69.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05074577

prune48.0ms (2.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New51152
Fresh055
Picked011
Done033
Total511061

Merged error: 0.1b

Counts
61 → 10
Compiler

Compiled 665 to 599 computations (9.9% saved)

regimes83.0ms (4.1%)

Compiler

Compiled 339 to 308 computations (9.1% saved)

bsearch15.0ms (0.7%)

Steps
ItersRangePoint
8
-1.127321002485621e-305
5.20687394484729e-309
3.2457638208323e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06241
16241

end0.0ms (0%)

sample497.0ms (24.4%)

Algorithm
1×intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 137 to 125 computations (8.8% saved)

Profiling

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