Details

Time bar (total: 2.6s)

analyze97.0ms (3.8%)

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
6.0ms256×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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
30.9b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.0b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Error
16.1b
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)

series28.0ms (1.1%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

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

Compiled 42 to 40 computations (4.8% saved)

simplify154.0ms (6%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
04798123
14798123

prune19.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616
Error
0.2b
Counts
16 → 6
Compiler

Compiled 181 to 140 computations (22.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))))
30.0b
(sqrt.f64 (*.f64 x (*.f64 x 2)))
30.0b
(sqrt.f64 (*.f64 x (*.f64 x 2)))

rewrite191.0ms (7.4%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
158×pow1_binary64_139
154×sqrt-pow1_binary64_96
82×pow-prod-down_binary64_149
33×sqrt-prod_binary64_94
28×add-sqr-sqrt_binary64_100
24×pow1/2_binary64_158
21×pow-prod-up_binary64_148
13×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 pow-sqr_binary64_51
9×swap-sqr_binary64_45
7×associate-*l*_binary64_19 associate-*r*_binary64_18
6×add-exp-log_binary64_116 add-cbrt-cube_binary64_114
4×add-log-exp_binary64_117 unswap-sqr_binary64_46
3×rem-sqrt-square_binary64_91
1×pow2_binary64_159 pow-plus_binary64_141 prod-exp_binary64_127 cbrt-unprod_binary64_111 sqrt-unprod_binary64_98 sqr-abs_binary64_93 rem-square-sqrt_binary64_90 *-commutative_binary64_9
Counts
4 → 131
Calls

4 calls:

16.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))))
4.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
Compiler

Compiled 2665 to 2070 computations (22.3% saved)

series123.0ms (4.8%)

Error
0.2b
Counts
4 → 12
Calls

4 calls:

31.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
30.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
29.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))))
24.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
Compiler

Compiled 437 to 370 computations (15.3% saved)

simplify75.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049761173
149761173

prune115.0ms (4.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1421143
Fresh134
Picked011
Done011
Total1436149
Error
0.2b
Counts
149 → 6
Compiler

Compiled 1907 to 1454 computations (23.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (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 228 to 188 computations (17.5% saved)

series32.0ms (1.3%)

Error
0.2b
Counts
1 → 3
Calls

1 calls:

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

Compiled 45 to 43 computations (4.4% saved)

simplify44.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05010211

prune22.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New22325
Fresh123
Picked011
Done022
Total23831
Error
0.1b
Counts
31 → 8
Compiler

Compiled 265 to 221 computations (16.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite90.0ms (3.5%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
16×pow1_binary64_139 add-exp-log_binary64_116
10×associate-*r*_binary64_18
9×pow-prod-down_binary64_149 prod-exp_binary64_127 add-cbrt-cube_binary64_114 cbrt-unprod_binary64_111
7×add-sqr-sqrt_binary64_100
6×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 cbrt-prod_binary64_109
4×associate-*l*_binary64_19
3×sqrt-prod_binary64_94
2×add-log-exp_binary64_117 *-commutative_binary64_9
1×unswap-sqr_binary64_46
Counts
2 → 46
Calls

2 calls:

15.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 961 to 878 computations (8.6% saved)

series174.0ms (6.8%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

134.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
34.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
Compiler

Compiled 162 to 157 computations (3.1% saved)

simplify91.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04908577
14908577

prune48.0ms (1.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New50252
Fresh134
Picked011
Done033
Total51960
Error
0.1b
Counts
60 → 9
Compiler

Compiled 665 to 599 computations (9.9% saved)

regimes220.0ms (8.6%)

Accuracy

Total 0.3b remaining (90.5%)

Threshold costs 0.3b (90.5%)

Compiler

Compiled 1566 to 1351 computations (13.7% saved)

bsearch12.0ms (0.5%)

Steps
ItersRangePoint
6
-4.452230747951387e-308
2.6817156648678348e-308
-4.8849491149242e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06037
16037

end0.0ms (0%)

sample946.0ms (36.8%)

Algorithm
1×intervals
Results
182.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 488 to 426 computations (12.7% saved)

Profiling

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