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)

sample11.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify19.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0119
1119

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.5b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

30.4b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite5.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 insert-posit16 sqrt-prod_binary64
Counts
1 → 13
Calls

1 calls:

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

series45.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

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

simplify277.0ms (17.2%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (261.0ms)

IterNodesCost
04783134
14783134

prune19.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517

Merged error: 0.2b

Counts
17 → 5
Compiler

Compiled 166 to 128 computations (22.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
1 → 23
Calls

1 calls:

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

series50.0ms (3.1%)

Counts
1 → 3
Calls

1 calls:

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

simplify84.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04990219
14990219

prune24.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New24226
Fresh033
Picked011
Done011
Total24731

Merged error: 0.1b

Counts
31 → 7
Compiler

Compiled 248 to 202 computations (18.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite23.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 insert-posit16 *-commutative_binary64
Counts
2 → 52
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series137.0ms (8.5%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
57.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify106.0ms (6.5%)

Algorithm
1×egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
05194595

prune53.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh044
Picked011
Done022
Total58765

Merged error: 0.1b

Counts
65 → 7
Compiler

Compiled 697 to 613 computations (12.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
8×pow1_binary64 add-sqr-sqrt_binary64
6×associate-*r*_binary64
5×pow-prod-down_binary64 sqrt-prod_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 unswap-sqr_binary64
1×add-log-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
1 → 28
Calls

1 calls:

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

series51.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

51.0ms
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))

simplify112.0ms (6.9%)

Algorithm
1×egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04839398
14839398

prune24.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New31031
Fresh033
Picked011
Done033
Total31738

Merged error: 0.1b

Counts
38 → 7
Compiler

Compiled 342 to 224 computations (34.5% saved)

regimes64.0ms (3.9%)

Compiler

Compiled 201 to 176 computations (12.4% saved)

bsearch17.0ms (1.1%)

Steps
ItersRangePoint
10
-2.0140553358896164e-308
2.1183288314322065e-292
-4.3485033051676e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03929
13929

end0.0ms (0%)

sample440.0ms (27.2%)

Algorithm
1×intervals
Results
208.0ms8000×body80valid
Compiler

Compiled 84 to 75 computations (10.7% saved)

Profiling

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