Details

Time bar (total: 2.4s)

analyze98.0ms (4.1%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139
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 5 computations (44.4% saved)

sample13.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0139
1139

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
30.9b
Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
16.1b
Rules
4×pow1_binary64_139
2×sqrt-pow1_binary64_96 associate-*r/_binary64_20 sqrt-div_binary64_95
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 pow-prod-down_binary64_149 flip3-+_binary64_81 flip-+_binary64_52 sqrt-prod_binary64_94 *-un-lft-identity_binary64_78
Counts
1 → 13
Calls

1 calls:

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

Compiled 161 to 50 computations (68.9% saved)

series32.0ms (1.3%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

28.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify73.0ms (3%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05009140

prune15.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617
Error
0.2b
Counts
17 → 6
Compiler

Compiled 188 to 78 computations (58.5% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite137.0ms (5.7%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
84×sqrt-pow1_binary64_96
71×pow1_binary64_139
33×sqrt-prod_binary64_94
32×sqrt-div_binary64_95
28×add-sqr-sqrt_binary64_100
25×pow-prod-down_binary64_149
22×pow1/2_binary64_158
20×associate-*r/_binary64_20
14×pow-prod-up_binary64_148
13×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
9×flip3-+_binary64_81 flip-+_binary64_52 swap-sqr_binary64_45
8×pow-sqr_binary64_51
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 frac-times_binary64_88 unswap-sqr_binary64_46
3×rem-sqrt-square_binary64_91
2×associate-*l/_binary64_21
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 → 125
Calls

4 calls:

19.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
5.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 2803 to 549 computations (80.4% saved)

series121.0ms (5%)

Error
0.2b
Counts
4 → 12
Calls

4 calls:

31.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
29.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
28.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
23.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
Compiler

Compiled 437 to 311 computations (28.8% saved)

simplify90.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
047041347
147041347

prune84.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh134
Picked011
Done011
Total1376143
Error
0.2b
Counts
143 → 6
Compiler

Compiled 1963 to 499 computations (74.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (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 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 (1.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05010211

prune21.0ms (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 220 computations (17% 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)))

rewrite85.0ms (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)

series169.0ms (7%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

131.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
33.0ms
(*.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)

simplify89.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04908577
14908577

prune49.0ms (2%)

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)

regimes253.0ms (10.5%)

Accuracy

Total 0.3b remaining (90.6%)

Threshold costs 0.3b (90.6%)

Compiler

Compiled 1982 to 1424 computations (28.2% saved)

bsearch13.0ms (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
06138
16138

end0.0ms (0%)

sample914.0ms (38%)

Algorithm
1×intervals
Results
192.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 519 to 377 computations (27.4% saved)

Profiling

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