Details

Time bar (total: 1.9s)

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 (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify170.0ms (9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune5.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.2b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.2b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite5.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64_135
3×pow-prod-down_binary64_145 sqrt-pow1_binary64_94
1×add-exp-log_binary64_112 sqrt-prod_binary64_92 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 add-cube-cbrt_binary64_109 pow1/2_binary64_154 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
Counts
1 → 12
Calls

1 calls:

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

series50.0ms (2.7%)

Counts
1 → 3
Calls

1 calls:

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

simplify144.0ms (7.6%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
04780123
14780123

prune20.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New9615
Fresh000
Picked011
Done000
Total9716

Merged error: 0.2b

Counts
16 → 7
Compiler

Compiled 190 to 148 computations (22.1% saved)

localize4.0ms (0.2%)

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_98
6×associate-*r*_binary64_19
4×sqrt-prod_binary64_92 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
3×add-exp-log_binary64_112 associate-*l*_binary64_20 add-cbrt-cube_binary64_110 pow1_binary64_135
2×unswap-sqr_binary64_45
1×pow-prod-down_binary64_145 add-log-exp_binary64_113 cbrt-unprod_binary64_107 prod-exp_binary64_123 *-commutative_binary64_10
Counts
1 → 22
Calls

1 calls:

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

series53.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

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

simplify43.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04987211
14987211

prune24.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh145
Picked011
Done011
Total23932

Merged error: 0.0b

Counts
32 → 9
Compiler

Compiled 297 to 247 computations (16.8% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite30.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_112 pow1_binary64_135
10×associate-*r*_binary64_19
9×add-cbrt-cube_binary64_110 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
7×add-sqr-sqrt_binary64_98
6×cbrt-prod_binary64_105 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×associate-*l*_binary64_20
3×sqrt-prod_binary64_92
2×add-log-exp_binary64_113 *-commutative_binary64_10
1×unswap-sqr_binary64_45
Counts
2 → 46
Calls

2 calls:

14.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
10.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series337.0ms (17.9%)

Counts
2 → 6
Calls

2 calls:

280.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
57.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify69.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05074577

prune52.0ms (2.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh066
Picked011
Done022
Total52961

Merged error: 0.0b

Counts
61 → 9
Compiler

Compiled 730 to 653 computations (10.5% saved)

localize6.0ms (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 (1.2%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_92
18×associate-*r*_binary64_19
15×add-sqr-sqrt_binary64_98
9×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×associate-*l*_binary64_20 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
3×unswap-sqr_binary64_45
2×add-log-exp_binary64_113 *-commutative_binary64_10
Counts
2 → 50
Calls

2 calls:

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

series148.0ms (7.9%)

Counts
2 → 6
Calls

2 calls:

86.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
62.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify57.0ms (3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05190577

prune48.0ms (2.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done033
Total56965

Merged error: 0.0b

Counts
65 → 9
Compiler

Compiled 696 to 620 computations (10.9% saved)

regimes73.0ms (3.9%)

Compiler

Compiled 294 to 254 computations (13.6% saved)

bsearch20.0ms (1.1%)

Steps
ItersRangePoint
10
-4.370616442409757e-307
3.3951688028575574e-297
-1.9485061045363e-311
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06241
16241

end0.0ms (0%)

sample466.0ms (24.7%)

Algorithm
1×intervals
Results
187.0ms8000×body128valid
Compiler

Compiled 122 to 107 computations (12.3% saved)

Profiling

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