Details

Time bar (total: 1.5s)

analyze4.0ms (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 9 to 5 computations (44.4% saved)

sample11.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify19.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0139
1139

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.5b

Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64
2×associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
1×pow-prod-down_binary64 flip3-+_binary64 *-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 flip-+_binary64
Counts
1 → 14
Calls

1 calls:

10.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series43.0ms (2.9%)

Counts
1 → 3
Calls

1 calls:

43.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify108.0ms (7.3%)

Algorithm
1×egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04714151
14714151

prune20.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13417
Fresh000
Picked011
Done000
Total13518

Merged error: 0.2b

Counts
18 → 5
Compiler

Compiled 173 to 73 computations (57.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

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))

series58.0ms (4%)

Counts
1 → 3
Calls

1 calls:

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

simplify82.0ms (5.5%)

Algorithm
1×egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04990219
14990219

prune22.0ms (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 195 computations (21.4% 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)))

rewrite24.0ms (1.6%)

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:

14.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series134.0ms (9.1%)

Counts
2 → 6
Calls

2 calls:

78.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
56.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify104.0ms (7%)

Algorithm
1×egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
05194595

prune53.0ms (3.6%)

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 606 computations (13.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
19×sqrt-prod_binary64
17×add-sqr-sqrt_binary64
15×associate-*r*_binary64
11×*-un-lft-identity_binary64
9×add-cube-cbrt_binary64
6×associate-*l*_binary64
5×pow1_binary64
4×unswap-sqr_binary64
3×pow-prod-down_binary64 distribute-lft-out_binary64 distribute-rgt-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
1×flip3-+_binary64 count-2_binary64 distribute-lft1-in_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-rgt1-in_binary64 sqrt-unprod_binary64 prod-exp_binary64 insert-posit16 flip-+_binary64 *-commutative_binary64
Counts
1 → 42
Calls

1 calls:

13.0ms
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))

series53.0ms (3.6%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))

simplify183.0ms (12.4%)

Algorithm
1×egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (163.0ms)

IterNodesCost
04856574
14856574

prune27.0ms (1.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done033
Total45752

Merged error: 0.1b

Counts
52 → 7
Compiler

Compiled 535 to 137 computations (74.4% saved)

regimes19.0ms (1.3%)

Compiler

Compiled 61 to 46 computations (24.6% saved)

bsearch19.0ms (1.3%)

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
03925
13925

end0.0ms (0%)

sample435.0ms (29.5%)

Algorithm
1×intervals
Results
204.0ms8000×body80valid
Compiler

Compiled 84 to 62 computations (26.2% saved)

Profiling

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