Details

Time bar (total: 2.4s)

analyze92.0ms (3.7%)

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)

simplify11.0ms (0.5%)

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
31.0b
Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

29.9b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite18.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
15.6b
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
0.2b
Counts
1 → 3
Calls

1 calls:

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

Compiled 42 to 40 computations (4.8% saved)

simplify71.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05009140

prune18.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617
Error
0.1b
Counts
17 → 6
Compiler

Compiled 168 to 80 computations (52.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (0.9%)

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 (1.3%)

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)

simplify44.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05010211

prune25.0ms (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 266 to 218 computations (18% saved)

localize6.0ms (0.2%)

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)))

rewrite82.0ms (3.3%)

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:

13.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
9.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 915 to 832 computations (9.1% saved)

series163.0ms (6.6%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

126.0ms
(*.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 144 to 139 computations (3.5% saved)

simplify87.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04908577
14908577

prune47.0ms (1.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh066
Picked011
Done022
Total52961
Error
0.1b
Counts
61 → 9
Compiler

Compiled 673 to 598 computations (11.1% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
0.7b
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
0.7b
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
0.7b
(cbrt.f64 (*.f64 x (sqrt.f64 2)))

rewrite92.0ms (3.8%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
11×pow1_binary64_139
10×add-sqr-sqrt_binary64_100
9×pow1/3_binary64_160
8×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
7×cbrt-prod_binary64_109
6×add-exp-log_binary64_116
4×add-log-exp_binary64_117 add-cbrt-cube_binary64_114 swap-sqr_binary64_45 associate-*l*_binary64_19 associate-*r*_binary64_18
2×pow-prod-down_binary64_149 pow-prod-up_binary64_148 pow-sqr_binary64_51
1×pow2_binary64_159 pow-plus_binary64_141 prod-exp_binary64_127 cbrt-unprod_binary64_111 unswap-sqr_binary64_46 *-commutative_binary64_9
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
3.0ms
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
3.0ms
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
3.0ms
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
Compiler

Compiled 1306 to 1094 computations (16.2% saved)

series481.0ms (19.6%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

142.0ms
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
112.0ms
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
107.0ms
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
106.0ms
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
Compiler

Compiled 828 to 751 computations (9.3% saved)

simplify108.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
04794629
14794629

prune84.0ms (3.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New69170
Fresh055
Picked011
Done033
Total691079
Error
0.1b
Counts
79 → 10
Compiler

Compiled 1248 to 1042 computations (16.5% saved)

regimes180.0ms (7.3%)

Accuracy

Total 0.3b remaining (75.6%)

Threshold costs 0.3b (75.6%)

Compiler

Compiled 1098 to 756 computations (31.1% saved)

bsearch13.0ms (0.5%)

Steps
ItersRangePoint
8
-3.946438500743236e-308
3.739113859726636e-306
4.24786426193846e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03925
13925

end0.0ms (0%)

sample708.0ms (28.9%)

Algorithm
1×intervals
Results
185.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 290 to 202 computations (30.3% saved)

Profiling

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