Details

Time bar (total: 1.3s)

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 7 to 6 computations (14.3% saved)

sample11.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.2%)

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 (0.4%)

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 sqrt-prod_binary64
Counts
1 → 12
Calls

1 calls:

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

series46.0ms (3.6%)

Counts
1 → 3
Calls

1 calls:

46.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify148.0ms (11.4%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
04780123
14780123

prune18.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5
Compiler

Compiled 158 to 122 computations (22.8% 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 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

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

series51.0ms (3.9%)

Counts
1 → 3
Calls

1 calls:

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

simplify42.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04987211
14987211

prune22.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New23225
Fresh033
Picked011
Done011
Total23730

Merged error: 0.1b

Counts
30 → 7
Compiler

Compiled 242 to 197 computations (18.6% saved)

localize5.0ms (0.4%)

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)))

rewrite22.0ms (1.7%)

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 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series137.0ms (10.5%)

Counts
2 → 6
Calls

2 calls:

88.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
49.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify58.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05190577

prune49.0ms (3.8%)

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 680 to 598 computations (12.1% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.8%)

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 *-commutative_binary64
Counts
1 → 27
Calls

1 calls:

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

series54.0ms (4.1%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))

simplify57.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04839385
14839385

prune20.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New30030
Fresh033
Picked011
Done033
Total30737

Merged error: 0.1b

Counts
37 → 7
Compiler

Compiled 333 to 218 computations (34.5% saved)

regimes65.0ms (5%)

Compiler

Compiled 201 to 176 computations (12.4% saved)

bsearch16.0ms (1.2%)

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

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04025
14025

end0.0ms (0%)

sample430.0ms (33.1%)

Algorithm
1×intervals
Results
196.0ms8000×body128valid
Compiler

Compiled 82 to 72 computations (12.2% saved)

Profiling

Loading profile data...