Details

Time bar (total: 1.5s)

analyze5.0ms (0.3%)

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 (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify169.0ms (10.9%)

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

Merged error: 31.3b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
30.2b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite14.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_135
7×add-exp-log_binary64_112 add-cbrt-cube_binary64_110
6×pow-prod-down_binary64_145
4×add-sqr-sqrt_binary64_98
3×associate-*l*_binary64_20 sqrt-pow1_binary64_94 cbrt-unprod_binary64_107 prod-exp_binary64_123 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
2×add-log-exp_binary64_113
1×sqrt-prod_binary64_92 unswap-sqr_binary64_45 *-commutative_binary64_10 pow1/2_binary64_154 associate-*r*_binary64_19
Counts
2 → 31
Calls

2 calls:

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

series97.0ms (6.3%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
35.0ms
(*.f64 2 (*.f64 x x))

simplify70.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04979300
14979300

prune38.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638

Merged error: 0.2b

Counts
38 → 6
Compiler

Compiled 389 to 259 computations (33.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_98
6×associate-*l*_binary64_20
4×sqrt-prod_binary64_92 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
3×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 associate-*r*_binary64_19
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:

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

series48.0ms (3.1%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify58.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04869270
14869270

prune29.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh314
Picked011
Done011
Total24731

Merged error: 0b

Counts
31 → 7
Compiler

Compiled 308 to 220 computations (28.6% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_92
15×add-sqr-sqrt_binary64_98
12×associate-*l*_binary64_20
10×associate-*r*_binary64_19
9×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
3×unswap-sqr_binary64_45
2×add-log-exp_binary64_113 *-commutative_binary64_10
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series109.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

64.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
45.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify62.0ms (4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05154685

prune53.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0b

Counts
63 → 7
Compiler

Compiled 780 to 620 computations (20.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
0.5b
(*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x)))

rewrite20.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_98
14×pow1_binary64_135
13×sqrt-prod_binary64_92
12×associate-*r*_binary64_19
10×pow-prod-down_binary64_145
9×add-exp-log_binary64_112 add-cbrt-cube_binary64_110
8×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
7×associate-*l*_binary64_20
5×sqrt-pow1_binary64_94 pow1/2_binary64_154
4×cbrt-unprod_binary64_107 unswap-sqr_binary64_45 prod-exp_binary64_123
3×sqrt-unprod_binary64_96
2×add-log-exp_binary64_113 *-commutative_binary64_10
Counts
2 → 54
Calls

2 calls:

9.0ms
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
7.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x)))

series113.0ms (7.4%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x)))
49.0ms
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))

simplify70.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05053719

prune45.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58260
Fresh213
Picked101
Done033
Total61667

Merged error: 0b

Counts
67 → 6
Compiler

Compiled 744 to 385 computations (48.3% saved)

regimes54.0ms (3.5%)

Compiler

Compiled 262 to 220 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11015

end0.0ms (0%)

sample421.0ms (27.3%)

Algorithm
1×intervals
Results
197.0ms8000×body128valid
Compiler

Compiled 74 to 63 computations (14.9% saved)

Profiling

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