Details

Time bar (total: 3.8s)

analyze7.0ms (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)

sample18.0ms (0.5%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify297.0ms (7.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0119
1119

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 32.3b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

31.2b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite9.0ms (0.2%)

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:

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

series83.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

83.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify258.0ms (6.7%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (244.0ms)

IterNodesCost
04780123
14780123

prune42.0ms (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 167 to 130 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (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:

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

series101.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

100.0ms
(*.f64 x (sqrt.f64 2))

simplify82.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04987211
14987211

prune47.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New23225
Fresh044
Picked011
Done011
Total23831

Merged error: 0.1b

Counts
31 → 8
Compiler

Compiled 251 to 205 computations (18.3% saved)

localize11.0ms (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)))

rewrite44.0ms (1.1%)

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:

22.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
14.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series274.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

169.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
105.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify108.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
05190577

prune90.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh145
Picked011
Done022
Total56864

Merged error: 0.1b

Counts
64 → 8
Compiler

Compiled 691 to 610 computations (11.7% saved)

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite84.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
48×sqrt-prod_binary64_92
33×associate-*r*_binary64_19
21×add-sqr-sqrt_binary64_98
19×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135
15×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
10×pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
5×associate-*l*_binary64_20
3×add-log-exp_binary64_113 unswap-sqr_binary64_45 *-commutative_binary64_10
Counts
3 → 83
Calls

3 calls:

33.0ms
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
24.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
12.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series844.0ms (21.9%)

Counts
3 → 9
Calls

3 calls:

589.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
152.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
102.0ms
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

simplify137.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
050281174

prune192.0ms (5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done033
Total928100

Merged error: 0.1b

Counts
100 → 8
Compiler

Compiled 1491 to 1374 computations (7.8% saved)

regimes143.0ms (3.7%)

Compiler

Compiled 234 to 212 computations (9.4% saved)

bsearch32.0ms (0.8%)

Steps
ItersRangePoint
10
-1.178605456473363e-292
5.20732183614863e-307
-1.35203774644527e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04240
14240

end0.0ms (0%)

sample890.0ms (23.1%)

Algorithm
1×intervals
Results
363.0ms8000×body128valid
Compiler

Compiled 101 to 93 computations (7.9% saved)

Profiling

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