Details

Time bar (total: 2.6s)

analyze134.0ms (5.1%)

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)

sample13.0ms (0.5%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.6b
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))
31.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite45.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
32.6b
Rules
13×pow1_binary64_139
7×add-exp-log_binary64_116 add-cbrt-cube_binary64_114
6×pow-prod-down_binary64_149
4×add-sqr-sqrt_binary64_100
3×add-cube-cbrt_binary64_113 sqrt-pow1_binary64_96 *-un-lft-identity_binary64_78 prod-exp_binary64_127 cbrt-unprod_binary64_111 associate-*l*_binary64_19
2×add-log-exp_binary64_117
1×pow1/2_binary64_158 sqrt-prod_binary64_94 unswap-sqr_binary64_46 associate-*r*_binary64_18 *-commutative_binary64_9
Counts
2 → 31
Calls

2 calls:

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

Compiled 344 to 213 computations (38.1% saved)

series70.0ms (2.7%)

Error
0.3b
Counts
2 → 6
Calls

2 calls:

43.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
22.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify58.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04932300
14932300

prune38.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New31637
Fresh000
Picked011
Done000
Total31738
Error
0.3b
Counts
38 → 7
Compiler

Compiled 393 to 263 computations (33.1% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 x (sqrt.f64 2))

rewrite33.0ms (1.2%)

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:

9.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 228 to 188 computations (17.5% saved)

series50.0ms (1.9%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

46.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify55.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05010211

prune29.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh325
Picked011
Done011
Total25732
Error
0.1b
Counts
32 → 7
Compiler

Compiled 279 to 229 computations (17.9% saved)

localize10.0ms (0.4%)

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)))

rewrite81.0ms (3.1%)

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:

11.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 836 to 753 computations (9.9% saved)

series105.0ms (4%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

63.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
39.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 135 to 130 computations (3.7% saved)

simplify87.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
05269559

prune74.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done022
Total56763
Error
0.1b
Counts
63 → 7
Compiler

Compiled 739 to 656 computations (11.2% saved)

localize17.0ms (0.6%)

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))))

rewrite134.0ms (5.1%)

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 1296 to 1192 computations (8% saved)

series232.0ms (8.8%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

181.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
46.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
Compiler

Compiled 171 to 166 computations (2.9% saved)

simplify88.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048871083
148871083

prune95.0ms (3.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done033
Total67774
Error
0.1b
Counts
74 → 7
Compiler

Compiled 1167 to 1070 computations (8.3% saved)

regimes263.0ms (10%)

Accuracy

Total 0.3b remaining (74.5%)

Threshold costs 0.3b (74.5%)

Compiler

Compiled 1369 to 1115 computations (18.6% saved)

bsearch17.0ms (0.7%)

Steps
ItersRangePoint
10
-2.471537152608442e-308
1.19640854968688e-294
-3.89140349991603e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04929
14929

end0.0ms (0%)

sample869.0ms (33.1%)

Algorithm
1×intervals
Results
236.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 279 to 236 computations (15.4% saved)

Profiling

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