Details

Time bar (total: 3.1s)

analyze480.0ms (15.4%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047569
147569
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 7 to 7 computations (0% saved)

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify184.0ms (5.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (178.0ms)

IterNodesCost
047569
147569

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
30.5b
Counts
2 → 1
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite61.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
30.4b
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×add-cbrt-cube_binary64 unpow-prod-down_binary64 unswap-sqr_binary64
3×pow1_binary64 prod-exp_binary64 associate-*l*_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

6.0ms
(*.f64 2 (pow.f64 x 2))
5.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
Compiler

Compiled 437 to 371 computations (15.1% saved)

series71.0ms (2.3%)

Error
0.2b
Counts
2 → 6
Calls

2 calls:

37.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
28.0ms
(*.f64 2 (pow.f64 x 2))
Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify54.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04987360
14987360

prune35.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36743
Fresh000
Picked011
Done000
Total36844
Error
0.2b
Counts
44 → 8
Compiler

Compiled 458 to 325 computations (29% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (0.8%)

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)

series31.0ms (1%)

Error
0.2b
Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 36 to 34 computations (5.6% saved)

simplify44.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05010211

prune28.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh246
Picked011
Done011
Total231033
Error
0.1b
Counts
33 → 10
Compiler

Compiled 292 to 233 computations (20.2% saved)

localize5.0ms (0.1%)

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)))

rewrite69.0ms (2.2%)

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:

10.0ms
(*.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)

series82.0ms (2.7%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

48.0ms
(*.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)

simplify81.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05269559

prune49.0ms (1.6%)

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)

localize10.0ms (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))))

rewrite105.0ms (3.4%)

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:

12.0ms
(*.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)

series175.0ms (5.6%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

138.0ms
(*.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)

simplify76.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048871083
148871083

prune74.0ms (2.4%)

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)

regimes318.0ms (10.2%)

Accuracy

Total 0.2b remaining (68.1%)

Threshold costs 0.2b (68.1%)

Compiler

Compiled 1914 to 1675 computations (12.5% saved)

bsearch24.0ms (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%)

sample993.0ms (32%)

Algorithm
1×intervals
Results
260.0ms8000×body128valid
Compiler

Compiled 425 to 369 computations (13.2% saved)

Profiling

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