Details

Time bar (total: 2.2s)

analyze5.0ms (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 (7.5%)

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: 32.1b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
31.0b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_139
7×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
6×pow-prod-down_binary64_149
4×add-sqr-sqrt_binary64_100
3×associate-*l*_binary64_19 sqrt-pow1_binary64_96 cbrt-unprod_binary64_111 prod-exp_binary64_127 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
2×add-log-exp_binary64_117
1×sqrt-prod_binary64_94 *-commutative_binary64_9 associate-*r*_binary64_18 unswap-sqr_binary64_46 pow1/2_binary64_158
Counts
2 → 31
Calls

2 calls:

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

series93.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
35.0ms
(*.f64 2 (*.f64 x x))

simplify68.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04979300
14979300

prune37.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.3b

Counts
38 → 4
Compiler

Compiled 357 to 235 computations (34.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_100
6×associate-*l*_binary64_19
4×sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
3×add-cbrt-cube_binary64_114 associate-*r*_binary64_18 add-exp-log_binary64_116 pow1_binary64_139
2×unswap-sqr_binary64_46
1×*-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
Counts
1 → 22
Calls

1 calls:

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

series47.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

47.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify71.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04861270
14861270

prune30.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh202
Picked011
Done011
Total22729

Merged error: 0.0b

Counts
29 → 7
Compiler

Compiled 301 to 220 computations (26.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (1%)

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

2 calls:

11.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
8.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series105.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
43.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify68.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05012685

prune54.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done202
Total58563

Merged error: 0b

Counts
63 → 5
Compiler

Compiled 769 to 620 computations (19.4% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite45.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
48×sqrt-prod_binary64_94
22×associate-*l*_binary64_19
21×add-sqr-sqrt_binary64_100
19×add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
16×associate-*r*_binary64_18
15×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
10×cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
3×*-commutative_binary64_9 add-log-exp_binary64_117 unswap-sqr_binary64_46
Counts
3 → 83
Calls

3 calls:

18.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
12.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))

series371.0ms (16.9%)

Counts
3 → 9
Calls

3 calls:

261.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
62.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
48.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))

simplify60.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
052051347

prune104.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh123
Picked011
Done011
Total92597

Merged error: 0b

Counts
97 → 5
Compiler

Compiled 1608 to 1385 computations (13.9% saved)

regimes158.0ms (7.2%)

Compiler

Compiled 1239 to 1003 computations (19% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01523
11523

end0.0ms (0%)

sample636.0ms (28.9%)

Algorithm
1×intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 260 to 218 computations (16.2% saved)

Profiling

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