Details

Time bar (total: 2.8s)

analyze417.0ms (14.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049759
149759
011
111
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 8 computations (11.1% saved)

sample21.0ms (0.7%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify117.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049759
149759

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
30.5b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
29.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite48.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
30.4b
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64 sqrt-pow1_binary64 *-un-lft-identity_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 sqrt-prod_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

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

Compiled 344 to 213 computations (38.1% saved)

series66.0ms (2.3%)

Error
0.2b
Counts
2 → 6
Calls

2 calls:

36.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
24.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify59.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04932300
14932300

prune30.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New31637
Fresh000
Picked011
Done000
Total31738
Error
0.2b
Counts
38 → 7
Compiler

Compiled 378 to 254 computations (32.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×add-cube-cbrt_binary64 *-un-lft-identity_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 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

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

Compiled 206 to 166 computations (19.4% saved)

series32.0ms (1.1%)

Error
0.2b
Counts
1 → 3
Calls

1 calls:

30.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 36 to 34 computations (5.6% saved)

simplify45.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05010211

prune25.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh145
Picked011
Done011
Total221032
Error
0.1b
Counts
32 → 10
Compiler

Compiled 292 to 233 computations (20.2% saved)

localize5.0ms (0.2%)

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)))

rewrite75.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
6.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 786 to 703 computations (10.6% saved)

series81.0ms (2.9%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

47.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
31.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify79.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05269559

prune51.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh257
Picked011
Done022
Total57966
Error
0.1b
Counts
66 → 9
Compiler

Compiled 703 to 611 computations (13.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.3b
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite104.0ms (3.7%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
30×sqrt-prod_binary64
25×associate-*r*_binary64
20×add-sqr-sqrt_binary64
17×add-exp-log_binary64
12×unpow-prod-down_binary64
11×add-cube-cbrt_binary64 *-un-lft-identity_binary64
10×prod-exp_binary64
9×add-cbrt-cube_binary64
5×unswap-sqr_binary64
4×pow1_binary64 cbrt-unprod_binary64 associate-*l*_binary64
2×pow-to-exp_binary64 pow-exp_binary64 add-log-exp_binary64 *-commutative_binary64 sqr-pow_binary64
1×pow-prod-down_binary64
Counts
2 → 61
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
8.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
Compiler

Compiled 1235 to 1131 computations (8.4% saved)

series173.0ms (6.1%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

137.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
32.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
Compiler

Compiled 153 to 148 computations (3.3% saved)

simplify72.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048871083
148871083

prune74.0ms (2.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done033
Total67976
Error
0.1b
Counts
76 → 9
Compiler

Compiled 1100 to 1003 computations (8.8% saved)

regimes227.0ms (8%)

Accuracy

Total 0.2b remaining (67.6%)

Threshold costs 0.2b (67.6%)

Compiler

Compiled 1198 to 990 computations (17.4% saved)

bsearch22.0ms (0.8%)

Steps
ItersRangePoint
10
-1.004774017893891e-298
1.935640548685784e-306
-1.5426684219707e-311
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04234
14234

end0.0ms (0%)

sample964.0ms (34%)

Algorithm
1×intervals
Results
361.0ms8000×body128valid
Compiler

Compiled 320 to 267 computations (16.6% saved)

Profiling

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