Details

Time bar (total: 2.1s)

analyze96.0ms (4.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119
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 6 computations (14.3% saved)

sample12.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (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 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
13.3b
Rules
7×pow1_binary64_139
3×pow-prod-down_binary64_149 sqrt-pow1_binary64_96
1×pow1/2_binary64_158 add-log-exp_binary64_117 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 sqrt-prod_binary64_94 *-un-lft-identity_binary64_78
Counts
1 → 12
Calls

1 calls:

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

Compiled 132 to 99 computations (25% saved)

series35.0ms (1.7%)

Error
0.2b
Counts
1 → 3
Calls

1 calls:

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

Compiled 42 to 40 computations (4.8% saved)

simplify155.0ms (7.5%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
04798123
14798123

prune16.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616
Error
0.1b
Counts
16 → 6
Compiler

Compiled 166 to 129 computations (22.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
8×add-sqr-sqrt_binary64_100
6×associate-*r*_binary64_18
4×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 sqrt-prod_binary64_94
3×pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 associate-*l*_binary64_19
2×unswap-sqr_binary64_46
1×pow-prod-down_binary64_149 prod-exp_binary64_127 add-log-exp_binary64_117 cbrt-unprod_binary64_111 *-commutative_binary64_9
Counts
1 → 22
Calls

1 calls:

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

Compiled 206 to 166 computations (19.4% saved)

series31.0ms (1.5%)

Error
0.1b
Counts
1 → 3
Calls

1 calls:

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

Compiled 36 to 34 computations (5.6% saved)

simplify43.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05010211

prune22.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh044
Picked011
Done011
Total22931
Error
0.1b
Counts
31 → 9
Compiler

Compiled 267 to 219 computations (18% 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)))

rewrite70.0ms (3.4%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
21×sqrt-prod_binary64_94
18×associate-*r*_binary64_18
15×add-sqr-sqrt_binary64_100
9×pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
4×pow-prod-down_binary64_149 prod-exp_binary64_127 cbrt-unprod_binary64_111 associate-*l*_binary64_19
3×unswap-sqr_binary64_46
2×add-log-exp_binary64_117 *-commutative_binary64_9
Counts
2 → 50
Calls

2 calls:

9.0ms
(*.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)

series79.0ms (3.8%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

43.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
32.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify81.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05269559

prune50.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh246
Picked011
Done022
Total57865
Error
0.1b
Counts
65 → 8
Compiler

Compiled 678 to 597 computations (11.9% saved)

localize8.0ms (0.4%)

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))))

rewrite102.0ms (5%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
30×sqrt-prod_binary64_94
25×associate-*r*_binary64_18
20×add-sqr-sqrt_binary64_100
17×add-exp-log_binary64_116
12×unpow-prod-down_binary64_157
11×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
10×prod-exp_binary64_127
9×add-cbrt-cube_binary64_114
5×unswap-sqr_binary64_46
4×pow1_binary64_139 cbrt-unprod_binary64_111 associate-*l*_binary64_19
2×pow-to-exp_binary64_147 pow-exp_binary64_146 add-log-exp_binary64_117 *-commutative_binary64_9 sqr-pow_binary64_50
1×pow-prod-down_binary64_149
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)

series173.0ms (8.4%)

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)

simplify73.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048871083
148871083

prune73.0ms (3.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done033
Total67875
Error
0.1b
Counts
75 → 8
Compiler

Compiled 1100 to 1003 computations (8.8% saved)

regimes164.0ms (8%)

Accuracy

Total 0.3b remaining (70.9%)

Threshold costs 0.3b (70.9%)

Compiler

Compiled 942 to 784 computations (16.8% saved)

bsearch15.0ms (0.7%)

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
04025
14025

end0.0ms (0%)

sample695.0ms (33.8%)

Algorithm
1×intervals
Results
181.0ms8000×body128valid
Compiler

Compiled 273 to 230 computations (15.8% saved)

Profiling

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