Details

Time bar (total: 1.6s)

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)

sample10.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify102.0ms (6.3%)

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: 29.0b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

28.1b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite5.0ms (0.3%)

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

1 calls:

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

series24.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

23.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify148.0ms (9.1%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (141.0ms)

IterNodesCost
04798123
14798123

prune19.0ms (1.1%)

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 181 to 140 computations (22.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_100
6×associate-*r*_binary64_18
4×sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
3×add-cbrt-cube_binary64_114 associate-*l*_binary64_19 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:

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

series28.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(*.f64 x (sqrt.f64 2))

simplify42.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05010211

prune22.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New23225
Fresh134
Picked011
Done011
Total24731

Merged error: 0.1b

Counts
31 → 7
Compiler

Compiled 258 to 209 computations (19% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_94
18×associate-*r*_binary64_18
15×add-sqr-sqrt_binary64_100
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×associate-*l*_binary64_19 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:

9.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
6.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series66.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
30.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify76.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05269559

prune48.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0.1b

Counts
63 → 7
Compiler

Compiled 687 to 601 computations (12.5% saved)

localize7.0ms (0.4%)

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)))))
28.1b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
28.1b
(sqrt.f64 (*.f64 x (*.f64 2 x)))

rewrite40.0ms (2.5%)

Algorithm
1×rewrite-expression-head
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×pow-sqr_binary64_51 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
9×swap-sqr_binary64_45
7×associate-*l*_binary64_19 associate-*r*_binary64_18
6×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
4×add-log-exp_binary64_117 unswap-sqr_binary64_46
3×rem-sqrt-square_binary64_91
1×pow2_binary64_159 *-commutative_binary64_9 sqr-abs_binary64_93 cbrt-unprod_binary64_111 prod-exp_binary64_127 sqrt-unprod_binary64_98 rem-square-sqrt_binary64_90 pow-plus_binary64_141
Counts
4 → 131
Calls

4 calls:

17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
4.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series100.0ms (6.2%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
26.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
24.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
23.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

simplify44.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
049571307
149571307

prune115.0ms (7.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1430143
Fresh033
Picked011
Done033
Total1437150

Merged error: 0.1b

Counts
150 → 7
Compiler

Compiled 1964 to 1492 computations (24% saved)

regimes110.0ms (6.8%)

Compiler

Compiled 561 to 482 computations (14.1% saved)

bsearch14.0ms (0.9%)

Steps
ItersRangePoint
10
-3.043598496080998e-296
4.599112235904557e-306
4.6648851468538e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03420
13420

end0.0ms (0%)

sample557.0ms (34.4%)

Algorithm
1×intervals
Results
184.0ms8000×body128valid
Compiler

Compiled 199 to 172 computations (13.6% saved)

Profiling

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